OROS Wiki - User contributions [en]

Human Vibration

2020-12-14T14:15:38Z

NIcolasAegerter: /* Time-weighting filters */

The OROS Body Vibration tool allow you to evaluate the affect of vibration on the human body according to standards ISO 2651 and ISO 5349. These standard define measurement practice and vibration signal analysis to evaluate the affect on health and and comfort of environmental and equipment vibrations on the Human body. 

The ISO 2651 describe the affect on health and comfort of vibration on the whole-body in transportation system, and the ISO 5349 the affect on health of vibration on hands and arms when manipulating machine-tools or vibrating objects. In the following, we will see how to use OROS to evaluate these effect. 
 
This is a post analysis toolkit, operating alongside NVGate after the recording of the signal and will help you to calculate time-weighted signal of acceleration and specific indicators both defined in the standards. 
[[Image:OROS_BodyVib2.png|800px|none]]
 
==Download & install==
Download the program here (version from 03/12/2020) :
https://orossas.sharepoint.com/:u:/g/support/EXCVJE_bLGZMgHg1mr4p1hwB5ICqdqKBXTK3kH9stxozKg?e=UJg72W

Once downloaded, you can unzip the folder and lunch the installer program Setup_OROS_BodyVibration_Tool_vXX.exe. Follow the step of the program to properly install the software. 

The program will be installed in "C:\OROS\Programs\ExternalTools". Shortcuts are created on the main desktop, in the Windows Start program and in the "Link" repertory of NVGate. By that way you can directly run the program from NVGate.

==How to use==

<ol>
<li>Launch NVGate </li>
<li>Launch OROS_BodyVibration_Tool.exe </li>
<li>Open a project in NVGate </li>

[[File:Open_Proj.png]]
 
<li>In the tool, Click on list measurement to list all the measurement present in the project (only the measurement where the signal files are actually on the disk will be displayed. Ensure you have [[NVGate_Project_manager#Uploading.2FDownloading|downloaded signal from the OR3X disk]]) </li>
[[Image:List_Meas.png|400px|none]]
<li>Add the measurement you want to analyse in the "selected list" area using the ">>" button. Use the "<<" button to remove file if needed. </li>
[[Image:Add_Rmv.png|400px|none]]
<li>Click on "Select Directions" to set the direction and sensor for each channel (This step is not necessary if you only want the time-weighted signals). </li>
[[Image:Select_DOF.png|400px|none]]
<li>Select the weighting you want to apply on the time signal </li>
[[Image:Select_Filter.png|400px|none]]
<li>Select the weighting you want to apply for each direction X, Y and Z used for the indicators </li>
[[Image:Select_Process_Filt.png|400px|none]]
<li>Select the metrics you want to calculate </li>
[[Image:Select_Metric.png|400px|none]]
<li>Click on "Start Processing" </li>
[[Image:Strat_Proc.png|400px|none]]
<li>The processing is completed when a the following pop-up window appear. The results and weighted signal have added to the current NVGate project. See the next sections for details. </li>
[[Image:The_End.png|400px|none]]
</ol>

==Toolkit results==
===Time-weighted signal===
Studies of the affect of vibrations on the human body suggest that part of the body don't have the same response to vibrations, and will be sensitive to specific frequencies and transient component of vibration signal. In order to represent the sensitivity of the human boy, ISO standards defined time-weighting that must applied to the signal according to the environmental conditions. The following part present you how to apply time-weighting filters to your signal using the toolkit.
====Time-weighting filters====
As defined in the standards, specific time weighting must be applied to the acceleration signal in order to represent the effect of vibrations on health and comfort. Here is the list of the different time-weighting filters implemented in the toolkit : 
{| class="wikitable" style="margin: auto;"
|+style="caption-side:bottom;"|''Time-weighting filters''
|-
|style="height:30px; width:100px;"|<math>W_k</math>
|Time weighting for the Z axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_d</math>
|Time weighting for the X and Y axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_h</math>
|Time weighting for the hand-arms measurement in any direction (ISO 5349-1)
|-
|style="height:30px; width:100px;"|<math>W_f</math>
|Time weighting for motion sickness measurement in the vertical direction (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_c</math>
|Time weighting for the X axis for whole-body measurement (ISO 2651-1; older version)
|-
|style="height:30px; width:100px;"|<math>W_e</math>
|Time weighting for all rotational directions for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_j</math>
|Time weighting for the Z axis for head comfort measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_m</math>
|Time weighting for all directions for buildings vibration measurement (ISO 2651-2)
|}

Filters have been validated from 0.5 to 10kHz at 25.6kSample/second.

====Usage in the toolkit====
The toolkit allow you to calculate the filtered raw signal with any of the above weighting filters. This will allow you to display [[NVGate FFT Analyzer|spectrums]] and calculate RMS via [[NVGate_Post_Analysis|post-analysis]] in NVGate.

To calculate the raw weighted signal, simply select the filters you want in the "Time signal filters" section :

[[Image:Filter2.png]]

Once the processing is completed, a new measurement containing the filtered signal for each selected filter is created in [[NVGate Project manager|NVGate Project Manager]] :

[[Image:Filtered_Sig.png|400px]]
 
You can then load the new signals in the player as any NVGate signal. Each track of the signal is filtered with the corresponding filter. 

[[Image:Sig_In_ Player.png|800px]]

===Health and comfort indicator===
In addition to the time-weighting filters, the ISO standards present a series of specific metrics to evaluate the affect of vibrations on the Human body. The following section will present you how to use the toolkit to access these metrics.
====Indicators====

{| class="wikitable" style="margin: auto;"
|+style="caption-side:bottom;"|''Body vibration indicators''
|-
|style="height:30px; width:100px;"|<math>A_w</math>
|RMS of the weighted acceleration magnitude.
|-
|style="height:30px; width:100px;"|<math>a_v</math>
|Total RMS value calculated as a quadratic average of the three direction for each tri-axial sensor.
|-
|style="height:30px; width:100px;"|<math>A_h</math>
|RMS of the <math>W_h</math> weighted acceleration magnitude.
|-
|style="height:30px; width:100px;"|<math>Peak</math>
|Amplitude Peak of the vibration; maximal amplitude of the signal from the 0 (Calculated from Post processing in NVGate)
|-
|style="height:30px; width:100px;"|<math>Crest factor</math>
|Ratio between the Peak level and the RMS of the weighted signal(Calculated from Post processing in NVGate)
|-
|style="height:30px; width:100px;"|<math>MTVV</math>
|Maximum Transient Vibration Value, represent the maximal RMS value of the signal
|-
|style="height:30px; width:100px;"|<math>VDV</math>
|Vibration Dose Value, taking into account the temporal shocks in the signal
|-
|style="height:30px; width:100px;"|<math>MSDV</math>
|Motion Sickness Dose Value, representing the comfort in transportation measurement
|-
|style="height:30px; width:100px;"|<math>D_k</math>
|The Acceleration Dose, representing the affect of the vibration on the spine
|-
|style="height:30px; width:100px;"|<math>Se</math>
|The equivalent Static compression stress on the spine, caused by repeated shocks
|}

======Aw======

The <math>A_w</math> is the RMS of the weighted acceleration signal. The weighting is applied in accordance with the direction set for each channel and the weighting filter defined for the direction. 

For each channel, the <math>A_w</math> and <math>A_w(T)</math> will be calculated. The <math>A_w(T)</math> is the Daily exposure value, defined as : 
<math display="block" forcemathmode="5">A_w(T) = A_w*k_{i}*\sqrt{\frac{T}{T_m}}</math>
 
With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter. the <math>k_i</math> factor is defined in the ISO 2631 as <math>k_X = k_Y = 1.4</math> and <math>k_Z = 1</math>.

When comparing result from one measurement point in the three direction, the maximum of the Daily exposure value must be used as the total daily exposure value at that point : 
<math display="block" forcemathmode="5">A_w(T) = max(A_{wX}(T), A_{wY}(T), A_{wZ}(T)) </math>
 
======av======
The <math>a_v</math> is the total RMS vibration value of the weighted acceleration signal. This value will only be calculated if a sensor have been defined in the definition of direction window.

For each tri-axial sensor, the <math>a_v</math> will be calculated as a quadratic average of the weighted RMS value in the three directions : 

<math display="block" forcemathmode="5">a_v = \sqrt{{a_{vX}}^{2}*{k_{X}}^{2} + {a_{vY}}^{2}*{k_{Y}}^{2} + {a_{vZ}}^{2}*{k_{Z}}^{2}}</math> 
With <math>k_{X,Y,Z}</math> a factor defined in the ISO 2631 as <math>k_{X}=k_{Y}=1.4</math> and <math>k_{Z}=1</math>
 
======Ah======
The <math>A_h</math> is the RMS of the <math>W_h</math> weighted acceleration signal for hand-arms vibration measurement. For each channel, the <math>A_h</math> and <math>A_h(T)</math> will be calculated. The <math>A_h(T)</math> is the Daily exposure value, defined as : 

<math display="block" forcemathmode="5">A_h(T) = A_h*\sqrt{\frac{T}{T_m}}</math> 

With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter. 

If any sensor is defined, the total <math>A_h</math> and <math>A_h(T)</math> will be calculated for each sensor as a quadratic average of the three direction of the sensor : 
<math display="block" forcemathmode="5">A_{h Total} = \sqrt{{a_{hX}}^{2}*{k_{X}}^{2} + {a_{hY}}^{2}*{k_{Y}}^{2} + {a_{hZ}}^{2}*{k_{Z}}^{2}}</math>
 
and : 
 
<math display="block" forcemathmode="5">A_{h Total}(T) = \sqrt{{a_{hX}}^{2}*{k_{X}}^{2} + {a_{hY}}^{2}*{k_{Y}}^{2} + {a_{hZ}}^{2}*{k_{Z}}^{2}}*\sqrt{\frac{T}{T_m}}</math>
 
With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter, and <math>k_{X}=k_{Y}=k_{Z}=1</math>
 

======Peak======

This indicator is the [[NVGate_Time_Domain_Analysis#Available_results|peak amplitude]] of the vibration signal. It represent the maximal amplitude of the weighted signal. This indicator can be obtained in NVGate by [[NVGate Post Analysis|post-analysing]] the weighted signal with the [[NVGate Time Domain Analysis|TDA plugin of NVGate]].

======Crest Factor======

This indicator is the [[NVGate_Time_Domain_Analysis#Available_results|Crest Factor]] of the vibration signal. It represent the importances of the transient event in the signal as the ratio of the maximal Peak amplitude over the RMS level for the weighted signal. This indicator can be obtained in NVGate by [[NVGate Post Analysis|post-analysing]] the weighted signal with the [[NVGate Time Domain Analysis|TDA plugin of NVGate]].

======MTVV======
The MTVV is the Maximal Transient Vibration Value, is the maximum of the running RMS of the weighted acceleration. This value is calculated for each channel and is expressed in m/s².

The MTVV Tau is the integration time, expressed in seconds. This value can be edited before the calculation, but the ISO 2631 recommand to use 1 second. Therefore this is the default value of this parameter.

======VDV======
The VDV is the forth power Vibration Dose Value. It is calculated as a cumulative sum of the weighted acceleration at the forth power. The forth power is used to give more weight to the transient event of the signal over the periodic event. Therefore, this indicator must be used to asses the effect of shock on human health and comfort. The VDV is calculated for each channel and expressed in m/s^(1.75). 

If the "VDVTexp" box is checked, an evaluation of the VDV value over a longer time period will be calculated of each channel as : 
<math display="block" forcemathmode="5">VDV_{X,Y,Z}(T) = VDV_{X,Y,Z}*k_{X,Y,Z}*\sqrt[4]{\frac{T}{T_m}}</math> 

With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter, and <math>k_{X}=k_{Y}=1.4</math>, and <math>k_{Z}=1</math>
======MSDV======
This metric is the Motion Sickness Dose Value, used to evaluate the ride comfort in in-vehicle measurement. It is expressed in m.s^(1.5). 

Although this value will be calculated for each direction, only the Z-direction will have a prominent relevance to assess ride comfort.
======Dk======
<math>D_k</math> is the acceleration dose. It is use to evaluate the effect of vibrations on the human spine, and calculated as the 6th root of the sum of the peaks in the acceleration signal raised at the 6th power. it is expressed in m/s². Peaks are defined as the absolute maximum of the acceleration signal between two zeros crossing. In the Z direction, only the positive peak will be considered, were all positive and negative peaks are used for the X and Y directions. 

Specific filters are used to weight the acceleration signal before calculating the <math>D_k</math>. These filter are different for the vertical and horizontal direction, and are defined for a sampling rate of 160 Sample/second. Therefore, we advise to [[NVGate Recorder|record]] the signal with a low [[NVGate_Front_End#Input_settings|sampling rate]] in NVGate. 

Assessing the affect of the vibration on human spine most is important when dealing with transportation vehicular, especially from driver seat. for a better evaluation, the ISO 2631-5 advise to calculate the daily acceleration dose, defined as : 

<math display="block" forcemathmode="5">D_{X,Y,Z}(T) = D_{X,Y,Z}*\sqrt[6]{\frac{T}{T_m}}</math> 

This value will be calculated if the box "Dk Texp" is checked.

======Se======
The Se is the compressive stress on the human spine, expressed in MPa. It is calculated by the combination the Dk in the three direction. Therefore, it will only be calculated if sensors are defined in the "Select Direction" window. One value of Se will be calculated for each sensor by the formula : 
<math display="block" forcemathmode="5">Se = \sqrt[6]{\sum_{k=X,Y,Z}(D_{k}*m_{k})^6}</math> 

Where <math>m_{X} = 0,015</math> MPa/(m/s²), <math>m_{Y} = 0,035</math> MPa/(m/s²) and <math>m_{Z} = 0,032</math> MPa/(m/s²). 

To evaluate the lumbar stress over a daily exposition time, the Se(T) will also be calculated as : 
<math display="block" forcemathmode="5">Se(T) = \sqrt[6]{\sum_{k=X,Y,Z}(D_{k}(T)*m_{k})^6}</math> 

T being the total exposure duration represented by the "Reference time" parameter. 

====In the toolkit====
Before calculating the indicators in the toolkit, you must define a filter for each directions. Filters will be selected in accordance with the wanted result (Hand-arms; Whole-Body, ..) and the direction of the measurement as specified in the table [[Human_Vibration#Time-weighting_filters|describing the filters]]. Filters will be applied to the signal before calculating the indicators, but the time-filtered signal will not be saved. 
[[Image:proc_filt.png]]
 
You will then need to enter the reference time you want to use to estimate the parameters on a greater duration. This duration must be entered in second. The default value is 288500 second, corresponding to a 8 hours measurement: 
[[Image:Ref_Time.png]]

You will finally need to enter the MTVV Tau value. The MTVV Tau is the integration time in seconds used for the calculation of the MTVV. The ISO 2651 recommand to use 1sec. This is the default value of the setting. 

Once the filters selected and the parameters competed, you can select the metrics you want to calculate by checking the different boxes. 
[[Image:all_proc.png]] 
You can then start the processing to calculate the indicators. 

Here, we are calculating all the indicator for the "Seat_Pad_Measurement" signal. This signal contain 3 Tracks, one for each channel X, Y and Z of a three axis accelerometer. As we want to calculate the multi-axis metrics, we also define a sensor on the three tracks, called "Seat_Pas_3axis". 
[[Image:Set_up_seatPad.png|500px]]
 
Once completed, the result can be find the currently opened project in the [[NVGate Project manager]]. A new measurement called "NAME_OF_THE_Signal_out" containing the result is created. 

[[Image:ResInProjMAn2.png|300px]] 

Each indicator is calculated for each direction and for each track of the signal. The name of the result contain the name of the track, the considered direction and the filter used for that direction (except for the <math>D_k</math> which use specific filters). 
The following picture show the indicators for the first track (SeatPadX) of the signal : 
[[Image:Resut_SeatPad.png|300px]]
 

For the metrics estimated on the "Reference Time", the name the indicator is followed by "(Ref_Time_in_Second"). Here an example with the VDV metric, the name of the indicator is displayed in the window title : 
[[Image:VDV_andTexp.png|800px]]
 

The metrics combining the three directions (av, Se, Ah,...) are named as following : "METRICS_Name : Sensor". By example here for the Se :

[[Image:Se.png|400px]]
 
You can then display the result in NVGate by double clicking.
 
====Unit in NVGate====
To display the right unit for the MSDV;, VDV and Se indicators, you need to modify the [[NVGate_User_Preferences#Physical_quantity|Spare units of NVGate]] as :
* Spare1 : <math>m/{s}^{1.75}</math> for the VDV
* Spare2 : <math>m/{s}^{1.5}</math> for the MSDV
* Spare3 : <math>Pa</math> for the Se (you can adapt the display as MPa).
 
No formulae need to be entered as the calculations are already made in the toolkit. You will only need to enter the unit and your display preferences.
 
==Practical information about measurements==

This section will provide you with some practical informations about Human Vibration evaluations.

Human vibrations are transmitted to the human body over a reasonable amount of time. This transmission mainly happened in vehicle during transportation, in buildings, and when using vibrating equipments and tools, such as electric drills, blowers... are manipulated. Since the last century, quantities of studies showed that vibrations can have many affect on the human body, from discomfort and transport sickness to serious health issues, including blood flow disorder to muscular and rheumatisms. 
Therefore, methods of measurement and evaluation of these vibrations have been developed over the year, and translated into several standards for mechanical appliances to prevent discomfort and harm. 

===Type of measurement===
====Whole-Body Measurement====
Measurement procedures for whole-body vibration evaluation are describe in the ISO2631. That type of vibration will mainly occur in transportations and in the workplace when working with big machinery. Therefore, the evaluation of the vibration will be carried on the part supporting the human body, like backside and feet for a seated person and feet for a standing person. Sensors must be placed to assess vibration to these specific points. Measurement must be carried on the complete system. Meaning the user must be present during the measurement and operate the machine/vehicle as usual. The following picture, extracted from the standard, give indication over the orientation of the sensors : 

[[Image:Axis_WholeBody.png]] 

For each point, the vibration must be measured in the three direction X, Y and Z. AS different weighting will be used for each direction, it is really important that each sensors are oriented according to the same directions. The Z direction must always used in the direction of the human spine. 

Specific sensors must be used in order to detect vibration at the transmission point. For a seated person, [https://www.dytran.com/Model-5313A-Triaxial-Seat-Pad-Accelerometer-P2161/|Seat Pad accelerometer] allow to acquire vibrations at the buttocks : 
[[Image:DytranSeatPad.png]] 
If necessary, the same kind of sensors can by used under the feet of a standing person. These sensor must be fixed to hold in place when the subject move. For vibration transmitted to feet, standard accelerometers can also be placed on the floor. 
 
The length of the measurement should be representative of the whole exposure duration during a day. However, as it is not always possible to acquire long signal, the ISO 2631 specify that measurement must be taken for at least 20 minutes, and 2h measurement are preferable. Using the OROS tool kit, long signals file can be take a lot of time to analyse. In order to analyse signal files longer than 30 minutes, we advise to : 
* reduce the Sampling rate, as frequency bandwidth for Whole-body vibration will note exceed 1kHz.
* Split each sensors over several files
 
Please contact OROS customer care team for advices.
 

====Hand-Arm Measurement====

Measurement procedures for hand-arm vibration evaluation are describe in the ISO 5349. That type of vibration are transmitted to the body by the hands and the amrs when using hand-tools and equipment, holding a vibrating object (like the steering wheel in a vehicle), or feeding a machine (wood cutting or turning). 

Here, the direction of the sensor is not important, however, at least two directions must be acquired at each point in the direction perpendicular to the handle axis. The most important part is to measure vibration at the contact point of the hand and the tool. Specific adaptor can be used to hold the accelerometer with the handle.

 
The length of the measurement should be representative of the whole exposure duration during a day. Therefore, it can vary from very short measurement (when feeding the machine) to longer measurement (steering wheel). 
Using the OROS tool kit, long signals file can be take a lot of time to analyse. In order to analyse signal files longer than 30 minutes, we advise to : 
* reduce the Sampling rate, as frequency bandwidth for Whole-body vibration will note exceed 1kHz.
* Split each sensors over several files
 
Please contact OROS customer care team for advices.
 

The main indicator used for hand-arm vibration will be the Ah and Ah(8) metrics.

Human Vibration

2020-12-14T14:11:24Z

NIcolasAegerter: /* Time-weighting filters */

The OROS Body Vibration tool allow you to evaluate the affect of vibration on the human body according to standards ISO 2651 and ISO 5349. These standard define measurement practice and vibration signal analysis to evaluate the affect on health and and comfort of environmental and equipment vibrations on the Human body. 

The ISO 2651 describe the affect on health and comfort of vibration on the whole-body in transportation system, and the ISO 5349 the affect on health of vibration on hands and arms when manipulating machine-tools or vibrating objects. In the following, we will see how to use OROS to evaluate these effect. 
 
This is a post analysis toolkit, operating alongside NVGate after the recording of the signal and will help you to calculate time-weighted signal of acceleration and specific indicators both defined in the standards. 
[[Image:OROS_BodyVib2.png|800px|none]]
 
==Download & install==
Download the program here (version from 03/12/2020) :
https://orossas.sharepoint.com/:u:/g/support/EXCVJE_bLGZMgHg1mr4p1hwB5ICqdqKBXTK3kH9stxozKg?e=UJg72W

Once downloaded, you can unzip the folder and lunch the installer program Setup_OROS_BodyVibration_Tool_vXX.exe. Follow the step of the program to properly install the software. 

The program will be installed in "C:\OROS\Programs\ExternalTools". Shortcuts are created on the main desktop, in the Windows Start program and in the "Link" repertory of NVGate. By that way you can directly run the program from NVGate.

==How to use==

<ol>
<li>Launch NVGate </li>
<li>Launch OROS_BodyVibration_Tool.exe </li>
<li>Open a project in NVGate </li>

[[File:Open_Proj.png]]
 
<li>In the tool, Click on list measurement to list all the measurement present in the project (only the measurement where the signal files are actually on the disk will be displayed. Ensure you have [[NVGate_Project_manager#Uploading.2FDownloading|downloaded signal from the OR3X disk]]) </li>
[[Image:List_Meas.png|400px|none]]
<li>Add the measurement you want to analyse in the "selected list" area using the ">>" button. Use the "<<" button to remove file if needed. </li>
[[Image:Add_Rmv.png|400px|none]]
<li>Click on "Select Directions" to set the direction and sensor for each channel (This step is not necessary if you only want the time-weighted signals). </li>
[[Image:Select_DOF.png|400px|none]]
<li>Select the weighting you want to apply on the time signal </li>
[[Image:Select_Filter.png|400px|none]]
<li>Select the weighting you want to apply for each direction X, Y and Z used for the indicators </li>
[[Image:Select_Process_Filt.png|400px|none]]
<li>Select the metrics you want to calculate </li>
[[Image:Select_Metric.png|400px|none]]
<li>Click on "Start Processing" </li>
[[Image:Strat_Proc.png|400px|none]]
<li>The processing is completed when a the following pop-up window appear. The results and weighted signal have added to the current NVGate project. See the next sections for details. </li>
[[Image:The_End.png|400px|none]]
</ol>

==Toolkit results==
===Time-weighted signal===
Studies of the affect of vibrations on the human body suggest that part of the body don't have the same response to vibrations, and will be sensitive to specific frequencies and transient component of vibration signal. In order to represent the sensitivity of the human boy, ISO standards defined time-weighting that must applied to the signal according to the environmental conditions. The following part present you how to apply time-weighting filters to your signal using the toolkit.
====Time-weighting filters====
As defined in the standards, specific time weighting must be applied to the acceleration signal in order to represent the effect of vibrations on health and comfort. Here is the list of the different time-weighting filters implemented in the toolkit : 
{| class="wikitable" style="margin: auto;"
|+style="caption-side:bottom;"|''Time-weighting filters''
|-
|style="height:30px; width:100px;"|<math>W_k</math>
|Time weighting for the Z axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_d</math>
|Time weighting for the X and Y axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_h</math>
|Time weighting for the hand-arms measurement in any direction (ISO 5349-1)
|-
|style="height:30px; width:100px;"|<math>W_f</math>
|Time weighting for motion sickness measurement in the vertical direction (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_c</math>
|Time weighting for the X axis for whole-body measurement (ISO 2651-1; older version)
|-
|style="height:30px; width:100px;"|<math>W_e</math>
|Time weighting for all rotational directions for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_j</math>
|Time weighting for the Z axis for head comfort measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_m</math>
|Time weighting for all directions for building's vibration comfort measurement (ISO 2651-2)
|}

Filters have been validated from 0.5 to 10kHz at 25.6kSample/second.

====Usage in the toolkit====
The toolkit allow you to calculate the filtered raw signal with any of the above weighting filters. This will allow you to display [[NVGate FFT Analyzer|spectrums]] and calculate RMS via [[NVGate_Post_Analysis|post-analysis]] in NVGate.

To calculate the raw weighted signal, simply select the filters you want in the "Time signal filters" section :

[[Image:Filter2.png]]

Once the processing is completed, a new measurement containing the filtered signal for each selected filter is created in [[NVGate Project manager|NVGate Project Manager]] :

[[Image:Filtered_Sig.png|400px]]
 
You can then load the new signals in the player as any NVGate signal. Each track of the signal is filtered with the corresponding filter. 

[[Image:Sig_In_ Player.png|800px]]

===Health and comfort indicator===
In addition to the time-weighting filters, the ISO standards present a series of specific metrics to evaluate the affect of vibrations on the Human body. The following section will present you how to use the toolkit to access these metrics.
====Indicators====

{| class="wikitable" style="margin: auto;"
|+style="caption-side:bottom;"|''Body vibration indicators''
|-
|style="height:30px; width:100px;"|<math>A_w</math>
|RMS of the weighted acceleration magnitude.
|-
|style="height:30px; width:100px;"|<math>a_v</math>
|Total RMS value calculated as a quadratic average of the three direction for each tri-axial sensor.
|-
|style="height:30px; width:100px;"|<math>A_h</math>
|RMS of the <math>W_h</math> weighted acceleration magnitude.
|-
|style="height:30px; width:100px;"|<math>Peak</math>
|Amplitude Peak of the vibration; maximal amplitude of the signal from the 0 (Calculated from Post processing in NVGate)
|-
|style="height:30px; width:100px;"|<math>Crest factor</math>
|Ratio between the Peak level and the RMS of the weighted signal(Calculated from Post processing in NVGate)
|-
|style="height:30px; width:100px;"|<math>MTVV</math>
|Maximum Transient Vibration Value, represent the maximal RMS value of the signal
|-
|style="height:30px; width:100px;"|<math>VDV</math>
|Vibration Dose Value, taking into account the temporal shocks in the signal
|-
|style="height:30px; width:100px;"|<math>MSDV</math>
|Motion Sickness Dose Value, representing the comfort in transportation measurement
|-
|style="height:30px; width:100px;"|<math>D_k</math>
|The Acceleration Dose, representing the affect of the vibration on the spine
|-
|style="height:30px; width:100px;"|<math>Se</math>
|The equivalent Static compression stress on the spine, caused by repeated shocks
|}

======Aw======

The <math>A_w</math> is the RMS of the weighted acceleration signal. The weighting is applied in accordance with the direction set for each channel and the weighting filter defined for the direction. 

For each channel, the <math>A_w</math> and <math>A_w(T)</math> will be calculated. The <math>A_w(T)</math> is the Daily exposure value, defined as : 
<math display="block" forcemathmode="5">A_w(T) = A_w*k_{i}*\sqrt{\frac{T}{T_m}}</math>
 
With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter. the <math>k_i</math> factor is defined in the ISO 2631 as <math>k_X = k_Y = 1.4</math> and <math>k_Z = 1</math>.

When comparing result from one measurement point in the three direction, the maximum of the Daily exposure value must be used as the total daily exposure value at that point : 
<math display="block" forcemathmode="5">A_w(T) = max(A_{wX}(T), A_{wY}(T), A_{wZ}(T)) </math>
 
======av======
The <math>a_v</math> is the total RMS vibration value of the weighted acceleration signal. This value will only be calculated if a sensor have been defined in the definition of direction window.

For each tri-axial sensor, the <math>a_v</math> will be calculated as a quadratic average of the weighted RMS value in the three directions : 

<math display="block" forcemathmode="5">a_v = \sqrt{{a_{vX}}^{2}*{k_{X}}^{2} + {a_{vY}}^{2}*{k_{Y}}^{2} + {a_{vZ}}^{2}*{k_{Z}}^{2}}</math> 
With <math>k_{X,Y,Z}</math> a factor defined in the ISO 2631 as <math>k_{X}=k_{Y}=1.4</math> and <math>k_{Z}=1</math>
 
======Ah======
The <math>A_h</math> is the RMS of the <math>W_h</math> weighted acceleration signal for hand-arms vibration measurement. For each channel, the <math>A_h</math> and <math>A_h(T)</math> will be calculated. The <math>A_h(T)</math> is the Daily exposure value, defined as : 

<math display="block" forcemathmode="5">A_h(T) = A_h*\sqrt{\frac{T}{T_m}}</math> 

With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter. 

If any sensor is defined, the total <math>A_h</math> and <math>A_h(T)</math> will be calculated for each sensor as a quadratic average of the three direction of the sensor : 
<math display="block" forcemathmode="5">A_{h Total} = \sqrt{{a_{hX}}^{2}*{k_{X}}^{2} + {a_{hY}}^{2}*{k_{Y}}^{2} + {a_{hZ}}^{2}*{k_{Z}}^{2}}</math>
 
and : 
 
<math display="block" forcemathmode="5">A_{h Total}(T) = \sqrt{{a_{hX}}^{2}*{k_{X}}^{2} + {a_{hY}}^{2}*{k_{Y}}^{2} + {a_{hZ}}^{2}*{k_{Z}}^{2}}*\sqrt{\frac{T}{T_m}}</math>
 
With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter, and <math>k_{X}=k_{Y}=k_{Z}=1</math>
 

======Peak======

This indicator is the [[NVGate_Time_Domain_Analysis#Available_results|peak amplitude]] of the vibration signal. It represent the maximal amplitude of the weighted signal. This indicator can be obtained in NVGate by [[NVGate Post Analysis|post-analysing]] the weighted signal with the [[NVGate Time Domain Analysis|TDA plugin of NVGate]].

======Crest Factor======

This indicator is the [[NVGate_Time_Domain_Analysis#Available_results|Crest Factor]] of the vibration signal. It represent the importances of the transient event in the signal as the ratio of the maximal Peak amplitude over the RMS level for the weighted signal. This indicator can be obtained in NVGate by [[NVGate Post Analysis|post-analysing]] the weighted signal with the [[NVGate Time Domain Analysis|TDA plugin of NVGate]].

======MTVV======
The MTVV is the Maximal Transient Vibration Value, is the maximum of the running RMS of the weighted acceleration. This value is calculated for each channel and is expressed in m/s².

The MTVV Tau is the integration time, expressed in seconds. This value can be edited before the calculation, but the ISO 2631 recommand to use 1 second. Therefore this is the default value of this parameter.

======VDV======
The VDV is the forth power Vibration Dose Value. It is calculated as a cumulative sum of the weighted acceleration at the forth power. The forth power is used to give more weight to the transient event of the signal over the periodic event. Therefore, this indicator must be used to asses the effect of shock on human health and comfort. The VDV is calculated for each channel and expressed in m/s^(1.75). 

If the "VDVTexp" box is checked, an evaluation of the VDV value over a longer time period will be calculated of each channel as : 
<math display="block" forcemathmode="5">VDV_{X,Y,Z}(T) = VDV_{X,Y,Z}*k_{X,Y,Z}*\sqrt[4]{\frac{T}{T_m}}</math> 

With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter, and <math>k_{X}=k_{Y}=1.4</math>, and <math>k_{Z}=1</math>
======MSDV======
This metric is the Motion Sickness Dose Value, used to evaluate the ride comfort in in-vehicle measurement. It is expressed in m.s^(1.5). 

Although this value will be calculated for each direction, only the Z-direction will have a prominent relevance to assess ride comfort.
======Dk======
<math>D_k</math> is the acceleration dose. It is use to evaluate the effect of vibrations on the human spine, and calculated as the 6th root of the sum of the peaks in the acceleration signal raised at the 6th power. it is expressed in m/s². Peaks are defined as the absolute maximum of the acceleration signal between two zeros crossing. In the Z direction, only the positive peak will be considered, were all positive and negative peaks are used for the X and Y directions. 

Specific filters are used to weight the acceleration signal before calculating the <math>D_k</math>. These filter are different for the vertical and horizontal direction, and are defined for a sampling rate of 160 Sample/second. Therefore, we advise to [[NVGate Recorder|record]] the signal with a low [[NVGate_Front_End#Input_settings|sampling rate]] in NVGate. 

Assessing the affect of the vibration on human spine most is important when dealing with transportation vehicular, especially from driver seat. for a better evaluation, the ISO 2631-5 advise to calculate the daily acceleration dose, defined as : 

<math display="block" forcemathmode="5">D_{X,Y,Z}(T) = D_{X,Y,Z}*\sqrt[6]{\frac{T}{T_m}}</math> 

This value will be calculated if the box "Dk Texp" is checked.

======Se======
The Se is the compressive stress on the human spine, expressed in MPa. It is calculated by the combination the Dk in the three direction. Therefore, it will only be calculated if sensors are defined in the "Select Direction" window. One value of Se will be calculated for each sensor by the formula : 
<math display="block" forcemathmode="5">Se = \sqrt[6]{\sum_{k=X,Y,Z}(D_{k}*m_{k})^6}</math> 

Where <math>m_{X} = 0,015</math> MPa/(m/s²), <math>m_{Y} = 0,035</math> MPa/(m/s²) and <math>m_{Z} = 0,032</math> MPa/(m/s²). 

To evaluate the lumbar stress over a daily exposition time, the Se(T) will also be calculated as : 
<math display="block" forcemathmode="5">Se(T) = \sqrt[6]{\sum_{k=X,Y,Z}(D_{k}(T)*m_{k})^6}</math> 

T being the total exposure duration represented by the "Reference time" parameter. 

====In the toolkit====
Before calculating the indicators in the toolkit, you must define a filter for each directions. Filters will be selected in accordance with the wanted result (Hand-arms; Whole-Body, ..) and the direction of the measurement as specified in the table [[Human_Vibration#Time-weighting_filters|describing the filters]]. Filters will be applied to the signal before calculating the indicators, but the time-filtered signal will not be saved. 
[[Image:proc_filt.png]]
 
You will then need to enter the reference time you want to use to estimate the parameters on a greater duration. This duration must be entered in second. The default value is 288500 second, corresponding to a 8 hours measurement: 
[[Image:Ref_Time.png]]

You will finally need to enter the MTVV Tau value. The MTVV Tau is the integration time in seconds used for the calculation of the MTVV. The ISO 2651 recommand to use 1sec. This is the default value of the setting. 

Once the filters selected and the parameters competed, you can select the metrics you want to calculate by checking the different boxes. 
[[Image:all_proc.png]] 
You can then start the processing to calculate the indicators. 

Here, we are calculating all the indicator for the "Seat_Pad_Measurement" signal. This signal contain 3 Tracks, one for each channel X, Y and Z of a three axis accelerometer. As we want to calculate the multi-axis metrics, we also define a sensor on the three tracks, called "Seat_Pas_3axis". 
[[Image:Set_up_seatPad.png|500px]]
 
Once completed, the result can be find the currently opened project in the [[NVGate Project manager]]. A new measurement called "NAME_OF_THE_Signal_out" containing the result is created. 

[[Image:ResInProjMAn2.png|300px]] 

Each indicator is calculated for each direction and for each track of the signal. The name of the result contain the name of the track, the considered direction and the filter used for that direction (except for the <math>D_k</math> which use specific filters). 
The following picture show the indicators for the first track (SeatPadX) of the signal : 
[[Image:Resut_SeatPad.png|300px]]
 

For the metrics estimated on the "Reference Time", the name the indicator is followed by "(Ref_Time_in_Second"). Here an example with the VDV metric, the name of the indicator is displayed in the window title : 
[[Image:VDV_andTexp.png|800px]]
 

The metrics combining the three directions (av, Se, Ah,...) are named as following : "METRICS_Name : Sensor". By example here for the Se :

[[Image:Se.png|400px]]
 
You can then display the result in NVGate by double clicking.
 
====Unit in NVGate====
To display the right unit for the MSDV;, VDV and Se indicators, you need to modify the [[NVGate_User_Preferences#Physical_quantity|Spare units of NVGate]] as :
* Spare1 : <math>m/{s}^{1.75}</math> for the VDV
* Spare2 : <math>m/{s}^{1.5}</math> for the MSDV
* Spare3 : <math>Pa</math> for the Se (you can adapt the display as MPa).
 
No formulae need to be entered as the calculations are already made in the toolkit. You will only need to enter the unit and your display preferences.
 
==Practical information about measurements==

This section will provide you with some practical informations about Human Vibration evaluations.

Human vibrations are transmitted to the human body over a reasonable amount of time. This transmission mainly happened in vehicle during transportation, in buildings, and when using vibrating equipments and tools, such as electric drills, blowers... are manipulated. Since the last century, quantities of studies showed that vibrations can have many affect on the human body, from discomfort and transport sickness to serious health issues, including blood flow disorder to muscular and rheumatisms. 
Therefore, methods of measurement and evaluation of these vibrations have been developed over the year, and translated into several standards for mechanical appliances to prevent discomfort and harm. 

===Type of measurement===
====Whole-Body Measurement====
Measurement procedures for whole-body vibration evaluation are describe in the ISO2631. That type of vibration will mainly occur in transportations and in the workplace when working with big machinery. Therefore, the evaluation of the vibration will be carried on the part supporting the human body, like backside and feet for a seated person and feet for a standing person. Sensors must be placed to assess vibration to these specific points. Measurement must be carried on the complete system. Meaning the user must be present during the measurement and operate the machine/vehicle as usual. The following picture, extracted from the standard, give indication over the orientation of the sensors : 

[[Image:Axis_WholeBody.png]] 

For each point, the vibration must be measured in the three direction X, Y and Z. AS different weighting will be used for each direction, it is really important that each sensors are oriented according to the same directions. The Z direction must always used in the direction of the human spine. 

Specific sensors must be used in order to detect vibration at the transmission point. For a seated person, [https://www.dytran.com/Model-5313A-Triaxial-Seat-Pad-Accelerometer-P2161/|Seat Pad accelerometer] allow to acquire vibrations at the buttocks : 
[[Image:DytranSeatPad.png]] 
If necessary, the same kind of sensors can by used under the feet of a standing person. These sensor must be fixed to hold in place when the subject move. For vibration transmitted to feet, standard accelerometers can also be placed on the floor. 
 
The length of the measurement should be representative of the whole exposure duration during a day. However, as it is not always possible to acquire long signal, the ISO 2631 specify that measurement must be taken for at least 20 minutes, and 2h measurement are preferable. Using the OROS tool kit, long signals file can be take a lot of time to analyse. In order to analyse signal files longer than 30 minutes, we advise to : 
* reduce the Sampling rate, as frequency bandwidth for Whole-body vibration will note exceed 1kHz.
* Split each sensors over several files
 
Please contact OROS customer care team for advices.
 

====Hand-Arm Measurement====

Measurement procedures for hand-arm vibration evaluation are describe in the ISO 5349. That type of vibration are transmitted to the body by the hands and the amrs when using hand-tools and equipment, holding a vibrating object (like the steering wheel in a vehicle), or feeding a machine (wood cutting or turning). 

Here, the direction of the sensor is not important, however, at least two directions must be acquired at each point in the direction perpendicular to the handle axis. The most important part is to measure vibration at the contact point of the hand and the tool. Specific adaptor can be used to hold the accelerometer with the handle.

 
The length of the measurement should be representative of the whole exposure duration during a day. Therefore, it can vary from very short measurement (when feeding the machine) to longer measurement (steering wheel). 
Using the OROS tool kit, long signals file can be take a lot of time to analyse. In order to analyse signal files longer than 30 minutes, we advise to : 
* reduce the Sampling rate, as frequency bandwidth for Whole-body vibration will note exceed 1kHz.
* Split each sensors over several files
 
Please contact OROS customer care team for advices.
 

The main indicator used for hand-arm vibration will be the Ah and Ah(8) metrics.

Human Vibration

2020-12-08T18:15:45Z

NIcolasAegerter: /* Type of measurement */

The OROS Body Vibration tool allow you to evaluate the affect of vibration on the human body according to standards ISO 2651 and ISO 5349. These standard define measurement practice and vibration signal analysis to evaluate the affect on health and and comfort of environmental and equipment vibrations on the Human body. 

The ISO 2651 describe the affect on health and comfort of vibration on the whole-body in transportation system, and the ISO 5349 the affect on health of vibration on hands and arms when manipulating machine-tools or vibrating objects. In the following, we will see how to use OROS to evaluate these effect. 
 
This is a post analysis toolkit, operating alongside NVGate after the recording of the signal and will help you to calculate time-weighted signal of acceleration and specific indicators both defined in the standards. 
[[Image:OROS_BodyVib2.png|800px|none]]
 
==Download & install==
Download the program here (version from 03/12/2020) :
https://orossas.sharepoint.com/:u:/g/support/EXCVJE_bLGZMgHg1mr4p1hwB5ICqdqKBXTK3kH9stxozKg?e=UJg72W

Once downloaded, you can unzip the folder and lunch the installer program Setup_OROS_BodyVibration_Tool_vXX.exe. Follow the step of the program to properly install the software. 

The program will be installed in "C:\OROS\Programs\ExternalTools". Shortcuts are created on the main desktop, in the Windows Start program and in the "Link" repertory of NVGate. By that way you can directly run the program from NVGate.

==How to use==

<ol>
<li>Launch NVGate </li>
<li>Launch OROS_BodyVibration_Tool.exe </li>
<li>Open a project in NVGate </li>

[[File:Open_Proj.png]]
 
<li>In the tool, Click on list measurement to list all the measurement present in the project (only the measurement where the signal files are actually on the disk will be displayed. Ensure you have [[NVGate_Project_manager#Uploading.2FDownloading|downloaded signal from the OR3X disk]]) </li>
[[Image:List_Meas.png|400px|none]]
<li>Add the measurement you want to analyse in the "selected list" area using the ">>" button. Use the "<<" button to remove file if needed. </li>
[[Image:Add_Rmv.png|400px|none]]
<li>Click on "Select Directions" to set the direction and sensor for each channel (This step is not necessary if you only want the time-weighted signals). </li>
[[Image:Select_DOF.png|400px|none]]
<li>Select the weighting you want to apply on the time signal </li>
[[Image:Select_Filter.png|400px|none]]
<li>Select the weighting you want to apply for each direction X, Y and Z used for the indicators </li>
[[Image:Select_Process_Filt.png|400px|none]]
<li>Select the metrics you want to calculate </li>
[[Image:Select_Metric.png|400px|none]]
<li>Click on "Start Processing" </li>
[[Image:Strat_Proc.png|400px|none]]
<li>The processing is completed when a the following pop-up window appear. The results and weighted signal have added to the current NVGate project. See the next sections for details. </li>
[[Image:The_End.png|400px|none]]
</ol>

==Toolkit results==
===Time-weighted signal===
Studies of the affect of vibrations on the human body suggest that part of the body don't have the same response to vibrations, and will be sensitive to specific frequencies and transient component of vibration signal. In order to represent the sensitivity of the human boy, ISO standards defined time-weighting that must applied to the signal according to the environmental conditions. The following part present you how to apply time-weighting filters to your signal using the toolkit.
====Time-weighting filters====
As defined in the standards, specific time weighting must be applied to the acceleration signal in order to represent the effect of vibrations on health and comfort. Here is the list of the different time-weighting filters implemented in the toolkit : 
{| class="wikitable" style="margin: auto;"
|+style="caption-side:bottom;"|''Time-weighting filters''
|-
|style="height:30px; width:100px;"|<math>W_k</math>
|Time weighting for the Z axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_d</math>
|Time weighting for the X and Y axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_h</math>
|Time weighting for the hand-arms measurement in any direction (ISO 5349-1)
|-
|style="height:30px; width:100px;"|<math>W_f</math>
|Time weighting for motion sickness measurement in the vertical direction (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_c</math>
|Time weighting for the X axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_e</math>
|Time weighting for all rotational directions for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_j</math>
|Time weighting for the Z axis for head comfort measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_m</math>
|Time weighting for all directions for building's vibration comfort measurement (ISO 2651-2)
|}

Filters have been validated from 0.5 to 10kHz at 25.6kSample/second.

====Usage in the toolkit====
The toolkit allow you to calculate the filtered raw signal with any of the above weighting filters. This will allow you to display [[NVGate FFT Analyzer|spectrums]] and calculate RMS via [[NVGate_Post_Analysis|post-analysis]] in NVGate.

To calculate the raw weighted signal, simply select the filters you want in the "Time signal filters" section :

[[Image:Filter2.png]]

Once the processing is completed, a new measurement containing the filtered signal for each selected filter is created in [[NVGate Project manager|NVGate Project Manager]] :

[[Image:Filtered_Sig.png|400px]]
 
You can then load the new signals in the player as any NVGate signal. Each track of the signal is filtered with the corresponding filter. 

[[Image:Sig_In_ Player.png|800px]]

===Health and comfort indicator===
In addition to the time-weighting filters, the ISO standards present a series of specific metrics to evaluate the affect of vibrations on the Human body. The following section will present you how to use the toolkit to access these metrics.
====Indicators====

{| class="wikitable" style="margin: auto;"
|+style="caption-side:bottom;"|''Body vibration indicators''
|-
|style="height:30px; width:100px;"|<math>A_w</math>
|RMS of the weighted acceleration magnitude.
|-
|style="height:30px; width:100px;"|<math>a_v</math>
|Total RMS value calculated as a quadratic average of the three direction for each tri-axial sensor.
|-
|style="height:30px; width:100px;"|<math>A_h</math>
|RMS of the <math>W_h</math> weighted acceleration magnitude.
|-
|style="height:30px; width:100px;"|<math>Peak</math>
|Amplitude Peak of the vibration; maximal amplitude of the signal from the 0 (Calculated from Post processing in NVGate)
|-
|style="height:30px; width:100px;"|<math>Crest factor</math>
|Ratio between the Peak level and the RMS of the weighted signal(Calculated from Post processing in NVGate)
|-
|style="height:30px; width:100px;"|<math>MTVV</math>
|Maximum Transient Vibration Value, represent the maximal RMS value of the signal
|-
|style="height:30px; width:100px;"|<math>VDV</math>
|Vibration Dose Value, taking into account the temporal shocks in the signal
|-
|style="height:30px; width:100px;"|<math>MSDV</math>
|Motion Sickness Dose Value, representing the comfort in transportation measurement
|-
|style="height:30px; width:100px;"|<math>D_k</math>
|The Acceleration Dose, representing the affect of the vibration on the spine
|-
|style="height:30px; width:100px;"|<math>Se</math>
|The equivalent Static compression stress on the spine, caused by repeated shocks
|}

======Aw======

The <math>A_w</math> is the RMS of the weighted acceleration signal. The weighting is applied in accordance with the direction set for each channel and the weighting filter defined for the direction. 

For each channel, the <math>A_w</math> and <math>A_w(T)</math> will be calculated. The <math>A_w(T)</math> is the Daily exposure value, defined as : 
<math display="block" forcemathmode="5">A_w(T) = A_w*k_{i}*\sqrt{\frac{T}{T_m}}</math>
 
With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter. the <math>k_i</math> factor is defined in the ISO 2631 as <math>k_X = k_Y = 1.4</math> and <math>k_Z = 1</math>.

When comparing result from one measurement point in the three direction, the maximum of the Daily exposure value must be used as the total daily exposure value at that point : 
<math display="block" forcemathmode="5">A_w(T) = max(A_{wX}(T), A_{wY}(T), A_{wZ}(T)) </math>
 
======av======
The <math>a_v</math> is the total RMS vibration value of the weighted acceleration signal. This value will only be calculated if a sensor have been defined in the definition of direction window.

For each tri-axial sensor, the <math>a_v</math> will be calculated as a quadratic average of the weighted RMS value in the three directions : 

<math display="block" forcemathmode="5">a_v = \sqrt{{a_{vX}}^{2}*{k_{X}}^{2} + {a_{vY}}^{2}*{k_{Y}}^{2} + {a_{vZ}}^{2}*{k_{Z}}^{2}}</math> 
With <math>k_{X,Y,Z}</math> a factor defined in the ISO 2631 as <math>k_{X}=k_{Y}=1.4</math> and <math>k_{Z}=1</math>
 
======Ah======
The <math>A_h</math> is the RMS of the <math>W_h</math> weighted acceleration signal for hand-arms vibration measurement. For each channel, the <math>A_h</math> and <math>A_h(T)</math> will be calculated. The <math>A_h(T)</math> is the Daily exposure value, defined as : 

<math display="block" forcemathmode="5">A_h(T) = A_h*\sqrt{\frac{T}{T_m}}</math> 

With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter. 

If any sensor is defined, the total <math>A_h</math> and <math>A_h(T)</math> will be calculated for each sensor as a quadratic average of the three direction of the sensor : 
<math display="block" forcemathmode="5">A_{h Total} = \sqrt{{a_{hX}}^{2}*{k_{X}}^{2} + {a_{hY}}^{2}*{k_{Y}}^{2} + {a_{hZ}}^{2}*{k_{Z}}^{2}}</math>
 
and : 
 
<math display="block" forcemathmode="5">A_{h Total}(T) = \sqrt{{a_{hX}}^{2}*{k_{X}}^{2} + {a_{hY}}^{2}*{k_{Y}}^{2} + {a_{hZ}}^{2}*{k_{Z}}^{2}}*\sqrt{\frac{T}{T_m}}</math>
 
With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter, and <math>k_{X}=k_{Y}=k_{Z}=1</math>
 

======Peak======

This indicator is the [[NVGate_Time_Domain_Analysis#Available_results|peak amplitude]] of the vibration signal. It represent the maximal amplitude of the weighted signal. This indicator can be obtained in NVGate by [[NVGate Post Analysis|post-analysing]] the weighted signal with the [[NVGate Time Domain Analysis|TDA plugin of NVGate]].

======Crest Factor======

This indicator is the [[NVGate_Time_Domain_Analysis#Available_results|Crest Factor]] of the vibration signal. It represent the importances of the transient event in the signal as the ratio of the maximal Peak amplitude over the RMS level for the weighted signal. This indicator can be obtained in NVGate by [[NVGate Post Analysis|post-analysing]] the weighted signal with the [[NVGate Time Domain Analysis|TDA plugin of NVGate]].

======MTVV======
The MTVV is the Maximal Transient Vibration Value, is the maximum of the running RMS of the weighted acceleration. This value is calculated for each channel and is expressed in m/s².

The MTVV Tau is the integration time, expressed in seconds. This value can be edited before the calculation, but the ISO 2631 recommand to use 1 second. Therefore this is the default value of this parameter.

======VDV======
The VDV is the forth power Vibration Dose Value. It is calculated as a cumulative sum of the weighted acceleration at the forth power. The forth power is used to give more weight to the transient event of the signal over the periodic event. Therefore, this indicator must be used to asses the effect of shock on human health and comfort. The VDV is calculated for each channel and expressed in m/s^(1.75). 

If the "VDVTexp" box is checked, an evaluation of the VDV value over a longer time period will be calculated of each channel as : 
<math display="block" forcemathmode="5">VDV_{X,Y,Z}(T) = VDV_{X,Y,Z}*k_{X,Y,Z}*\sqrt[4]{\frac{T}{T_m}}</math> 

With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter, and <math>k_{X}=k_{Y}=1.4</math>, and <math>k_{Z}=1</math>
======MSDV======
This metric is the Motion Sickness Dose Value, used to evaluate the ride comfort in in-vehicle measurement. It is expressed in m.s^(1.5). 

Although this value will be calculated for each direction, only the Z-direction will have a prominent relevance to assess ride comfort.
======Dk======
<math>D_k</math> is the acceleration dose. It is use to evaluate the effect of vibrations on the human spine, and calculated as the 6th root of the sum of the peaks in the acceleration signal raised at the 6th power. it is expressed in m/s². Peaks are defined as the absolute maximum of the acceleration signal between two zeros crossing. In the Z direction, only the positive peak will be considered, were all positive and negative peaks are used for the X and Y directions. 

Specific filters are used to weight the acceleration signal before calculating the <math>D_k</math>. These filter are different for the vertical and horizontal direction, and are defined for a sampling rate of 160 Sample/second. Therefore, we advise to [[NVGate Recorder|record]] the signal with a low [[NVGate_Front_End#Input_settings|sampling rate]] in NVGate. 

Assessing the affect of the vibration on human spine most is important when dealing with transportation vehicular, especially from driver seat. for a better evaluation, the ISO 2631-5 advise to calculate the daily acceleration dose, defined as : 

<math display="block" forcemathmode="5">D_{X,Y,Z}(T) = D_{X,Y,Z}*\sqrt[6]{\frac{T}{T_m}}</math> 

This value will be calculated if the box "Dk Texp" is checked.

======Se======
The Se is the compressive stress on the human spine, expressed in MPa. It is calculated by the combination the Dk in the three direction. Therefore, it will only be calculated if sensors are defined in the "Select Direction" window. One value of Se will be calculated for each sensor by the formula : 
<math display="block" forcemathmode="5">Se = \sqrt[6]{\sum_{k=X,Y,Z}(D_{k}*m_{k})^6}</math> 

Where <math>m_{X} = 0,015</math> MPa/(m/s²), <math>m_{Y} = 0,035</math> MPa/(m/s²) and <math>m_{Z} = 0,032</math> MPa/(m/s²). 

To evaluate the lumbar stress over a daily exposition time, the Se(T) will also be calculated as : 
<math display="block" forcemathmode="5">Se(T) = \sqrt[6]{\sum_{k=X,Y,Z}(D_{k}(T)*m_{k})^6}</math> 

T being the total exposure duration represented by the "Reference time" parameter. 

====In the toolkit====
Before calculating the indicators in the toolkit, you must define a filter for each directions. Filters will be selected in accordance with the wanted result (Hand-arms; Whole-Body, ..) and the direction of the measurement as specified in the table [[Human_Vibration#Time-weighting_filters|describing the filters]]. Filters will be applied to the signal before calculating the indicators, but the time-filtered signal will not be saved. 
[[Image:proc_filt.png]]
 
You will then need to enter the reference time you want to use to estimate the parameters on a greater duration. This duration must be entered in second. The default value is 288500 second, corresponding to a 8 hours measurement: 
[[Image:Ref_Time.png]]

You will finally need to enter the MTVV Tau value. The MTVV Tau is the integration time in seconds used for the calculation of the MTVV. The ISO 2651 recommand to use 1sec. This is the default value of the setting. 

Once the filters selected and the parameters competed, you can select the metrics you want to calculate by checking the different boxes. 
[[Image:all_proc.png]] 
You can then start the processing to calculate the indicators. 

Here, we are calculating all the indicator for the "Seat_Pad_Measurement" signal. This signal contain 3 Tracks, one for each channel X, Y and Z of a three axis accelerometer. As we want to calculate the multi-axis metrics, we also define a sensor on the three tracks, called "Seat_Pas_3axis". 
[[Image:Set_up_seatPad.png|500px]]
 
Once completed, the result can be find the currently opened project in the [[NVGate Project manager]]. A new measurement called "NAME_OF_THE_Signal_out" containing the result is created. 

[[Image:ResInProjMAn2.png|300px]] 

Each indicator is calculated for each direction and for each track of the signal. The name of the result contain the name of the track, the considered direction and the filter used for that direction (except for the <math>D_k</math> which use specific filters). 
The following picture show the indicators for the first track (SeatPadX) of the signal : 
[[Image:Resut_SeatPad.png|300px]]
 

For the metrics estimated on the "Reference Time", the name the indicator is followed by "(Ref_Time_in_Second"). Here an example with the VDV metric, the name of the indicator is displayed in the window title : 
[[Image:VDV_andTexp.png|800px]]
 

The metrics combining the three directions (av, Se, Ah,...) are named as following : "METRICS_Name : Sensor". By example here for the Se :

[[Image:Se.png|400px]]
 
You can then display the result in NVGate by double clicking.
 
====Unit in NVGate====
To display the right unit for the MSDV;, VDV and Se indicators, you need to modify the [[NVGate_User_Preferences#Physical_quantity|Spare units of NVGate]] as :
* Spare1 : <math>m/{s}^{1.75}</math> for the VDV
* Spare2 : <math>m/{s}^{1.5}</math> for the MSDV
* Spare3 : <math>Pa</math> for the Se (you can adapt the display as MPa).
 
No formulae need to be entered as the calculations are already made in the toolkit. You will only need to enter the unit and your display preferences.
 
==Practical information about measurements==

This section will provide you with some practical informations about Human Vibration evaluations.

Human vibrations are transmitted to the human body over a reasonable amount of time. This transmission mainly happened in vehicle during transportation, in buildings, and when using vibrating equipments and tools, such as electric drills, blowers... are manipulated. Since the last century, quantities of studies showed that vibrations can have many affect on the human body, from discomfort and transport sickness to serious health issues, including blood flow disorder to muscular and rheumatisms. 
Therefore, methods of measurement and evaluation of these vibrations have been developed over the year, and translated into several standards for mechanical appliances to prevent discomfort and harm. 

===Type of measurement===
====Whole-Body Measurement====
Measurement procedures for whole-body vibration evaluation are describe in the ISO2631. That type of vibration will mainly occur in transportations and in the workplace when working with big machinery. Therefore, the evaluation of the vibration will be carried on the part supporting the human body, like backside and feet for a seated person and feet for a standing person. Sensors must be placed to assess vibration to these specific points. Measurement must be carried on the complete system. Meaning the user must be present during the measurement and operate the machine/vehicle as usual. The following picture, extracted from the standard, give indication over the orientation of the sensors : 

[[Image:Axis_WholeBody.png]] 

For each point, the vibration must be measured in the three direction X, Y and Z. AS different weighting will be used for each direction, it is really important that each sensors are oriented according to the same directions. The Z direction must always used in the direction of the human spine. 

Specific sensors must be used in order to detect vibration at the transmission point. For a seated person, [https://www.dytran.com/Model-5313A-Triaxial-Seat-Pad-Accelerometer-P2161/|Seat Pad accelerometer] allow to acquire vibrations at the buttocks : 
[[Image:DytranSeatPad.png]] 
If necessary, the same kind of sensors can by used under the feet of a standing person. These sensor must be fixed to hold in place when the subject move. For vibration transmitted to feet, standard accelerometers can also be placed on the floor. 
 
The length of the measurement should be representative of the whole exposure duration during a day. However, as it is not always possible to acquire long signal, the ISO 2631 specify that measurement must be taken for at least 20 minutes, and 2h measurement are preferable. Using the OROS tool kit, long signals file can be take a lot of time to analyse. In order to analyse signal files longer than 30 minutes, we advise to : 
* reduce the Sampling rate, as frequency bandwidth for Whole-body vibration will note exceed 1kHz.
* Split each sensors over several files
 
Please contact OROS customer care team for advices.
 

====Hand-Arm Measurement====

Measurement procedures for hand-arm vibration evaluation are describe in the ISO 5349. That type of vibration are transmitted to the body by the hands and the amrs when using hand-tools and equipment, holding a vibrating object (like the steering wheel in a vehicle), or feeding a machine (wood cutting or turning). 

Here, the direction of the sensor is not important, however, at least two directions must be acquired at each point in the direction perpendicular to the handle axis. The most important part is to measure vibration at the contact point of the hand and the tool. Specific adaptor can be used to hold the accelerometer with the handle.

 
The length of the measurement should be representative of the whole exposure duration during a day. Therefore, it can vary from very short measurement (when feeding the machine) to longer measurement (steering wheel). 
Using the OROS tool kit, long signals file can be take a lot of time to analyse. In order to analyse signal files longer than 30 minutes, we advise to : 
* reduce the Sampling rate, as frequency bandwidth for Whole-body vibration will note exceed 1kHz.
* Split each sensors over several files
 
Please contact OROS customer care team for advices.
 

The main indicator used for hand-arm vibration will be the Ah and Ah(8) metrics.

Human Vibration

2020-12-08T17:53:00Z

NIcolasAegerter: /* Whole-Body Measurement */

The OROS Body Vibration tool allow you to evaluate the affect of vibration on the human body according to standards ISO 2651 and ISO 5349. These standard define measurement practice and vibration signal analysis to evaluate the affect on health and and comfort of environmental and equipment vibrations on the Human body. 

The ISO 2651 describe the affect on health and comfort of vibration on the whole-body in transportation system, and the ISO 5349 the affect on health of vibration on hands and arms when manipulating machine-tools or vibrating objects. In the following, we will see how to use OROS to evaluate these effect. 
 
This is a post analysis toolkit, operating alongside NVGate after the recording of the signal and will help you to calculate time-weighted signal of acceleration and specific indicators both defined in the standards. 
[[Image:OROS_BodyVib2.png|800px|none]]
 
==Download & install==
Download the program here (version from 03/12/2020) :
https://orossas.sharepoint.com/:u:/g/support/EXCVJE_bLGZMgHg1mr4p1hwB5ICqdqKBXTK3kH9stxozKg?e=UJg72W

Once downloaded, you can unzip the folder and lunch the installer program Setup_OROS_BodyVibration_Tool_vXX.exe. Follow the step of the program to properly install the software. 

The program will be installed in "C:\OROS\Programs\ExternalTools". Shortcuts are created on the main desktop, in the Windows Start program and in the "Link" repertory of NVGate. By that way you can directly run the program from NVGate.

==How to use==

<ol>
<li>Launch NVGate </li>
<li>Launch OROS_BodyVibration_Tool.exe </li>
<li>Open a project in NVGate </li>

[[File:Open_Proj.png]]
 
<li>In the tool, Click on list measurement to list all the measurement present in the project (only the measurement where the signal files are actually on the disk will be displayed. Ensure you have [[NVGate_Project_manager#Uploading.2FDownloading|downloaded signal from the OR3X disk]]) </li>
[[Image:List_Meas.png|400px|none]]
<li>Add the measurement you want to analyse in the "selected list" area using the ">>" button. Use the "<<" button to remove file if needed. </li>
[[Image:Add_Rmv.png|400px|none]]
<li>Click on "Select Directions" to set the direction and sensor for each channel (This step is not necessary if you only want the time-weighted signals). </li>
[[Image:Select_DOF.png|400px|none]]
<li>Select the weighting you want to apply on the time signal </li>
[[Image:Select_Filter.png|400px|none]]
<li>Select the weighting you want to apply for each direction X, Y and Z used for the indicators </li>
[[Image:Select_Process_Filt.png|400px|none]]
<li>Select the metrics you want to calculate </li>
[[Image:Select_Metric.png|400px|none]]
<li>Click on "Start Processing" </li>
[[Image:Strat_Proc.png|400px|none]]
<li>The processing is completed when a the following pop-up window appear. The results and weighted signal have added to the current NVGate project. See the next sections for details. </li>
[[Image:The_End.png|400px|none]]
</ol>

==Toolkit results==
===Time-weighted signal===
Studies of the affect of vibrations on the human body suggest that part of the body don't have the same response to vibrations, and will be sensitive to specific frequencies and transient component of vibration signal. In order to represent the sensitivity of the human boy, ISO standards defined time-weighting that must applied to the signal according to the environmental conditions. The following part present you how to apply time-weighting filters to your signal using the toolkit.
====Time-weighting filters====
As defined in the standards, specific time weighting must be applied to the acceleration signal in order to represent the effect of vibrations on health and comfort. Here is the list of the different time-weighting filters implemented in the toolkit : 
{| class="wikitable" style="margin: auto;"
|+style="caption-side:bottom;"|''Time-weighting filters''
|-
|style="height:30px; width:100px;"|<math>W_k</math>
|Time weighting for the Z axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_d</math>
|Time weighting for the X and Y axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_h</math>
|Time weighting for the hand-arms measurement in any direction (ISO 5349-1)
|-
|style="height:30px; width:100px;"|<math>W_f</math>
|Time weighting for motion sickness measurement in the vertical direction (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_c</math>
|Time weighting for the X axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_e</math>
|Time weighting for all rotational directions for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_j</math>
|Time weighting for the Z axis for head comfort measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_m</math>
|Time weighting for all directions for building's vibration comfort measurement (ISO 2651-2)
|}

Filters have been validated from 0.5 to 10kHz at 25.6kSample/second.

====Usage in the toolkit====
The toolkit allow you to calculate the filtered raw signal with any of the above weighting filters. This will allow you to display [[NVGate FFT Analyzer|spectrums]] and calculate RMS via [[NVGate_Post_Analysis|post-analysis]] in NVGate.

To calculate the raw weighted signal, simply select the filters you want in the "Time signal filters" section :

[[Image:Filter2.png]]

Once the processing is completed, a new measurement containing the filtered signal for each selected filter is created in [[NVGate Project manager|NVGate Project Manager]] :

[[Image:Filtered_Sig.png|400px]]
 
You can then load the new signals in the player as any NVGate signal. Each track of the signal is filtered with the corresponding filter. 

[[Image:Sig_In_ Player.png|800px]]

===Health and comfort indicator===
In addition to the time-weighting filters, the ISO standards present a series of specific metrics to evaluate the affect of vibrations on the Human body. The following section will present you how to use the toolkit to access these metrics.
====Indicators====

{| class="wikitable" style="margin: auto;"
|+style="caption-side:bottom;"|''Body vibration indicators''
|-
|style="height:30px; width:100px;"|<math>A_w</math>
|RMS of the weighted acceleration magnitude.
|-
|style="height:30px; width:100px;"|<math>a_v</math>
|Total RMS value calculated as a quadratic average of the three direction for each tri-axial sensor.
|-
|style="height:30px; width:100px;"|<math>A_h</math>
|RMS of the <math>W_h</math> weighted acceleration magnitude.
|-
|style="height:30px; width:100px;"|<math>Peak</math>
|Amplitude Peak of the vibration; maximal amplitude of the signal from the 0 (Calculated from Post processing in NVGate)
|-
|style="height:30px; width:100px;"|<math>Crest factor</math>
|Ratio between the Peak level and the RMS of the weighted signal(Calculated from Post processing in NVGate)
|-
|style="height:30px; width:100px;"|<math>MTVV</math>
|Maximum Transient Vibration Value, represent the maximal RMS value of the signal
|-
|style="height:30px; width:100px;"|<math>VDV</math>
|Vibration Dose Value, taking into account the temporal shocks in the signal
|-
|style="height:30px; width:100px;"|<math>MSDV</math>
|Motion Sickness Dose Value, representing the comfort in transportation measurement
|-
|style="height:30px; width:100px;"|<math>D_k</math>
|The Acceleration Dose, representing the affect of the vibration on the spine
|-
|style="height:30px; width:100px;"|<math>Se</math>
|The equivalent Static compression stress on the spine, caused by repeated shocks
|}

======Aw======

The <math>A_w</math> is the RMS of the weighted acceleration signal. The weighting is applied in accordance with the direction set for each channel and the weighting filter defined for the direction. 

For each channel, the <math>A_w</math> and <math>A_w(T)</math> will be calculated. The <math>A_w(T)</math> is the Daily exposure value, defined as : 
<math display="block" forcemathmode="5">A_w(T) = A_w*k_{i}*\sqrt{\frac{T}{T_m}}</math>
 
With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter. the <math>k_i</math> factor is defined in the ISO 2631 as <math>k_X = k_Y = 1.4</math> and <math>k_Z = 1</math>.

When comparing result from one measurement point in the three direction, the maximum of the Daily exposure value must be used as the total daily exposure value at that point : 
<math display="block" forcemathmode="5">A_w(T) = max(A_{wX}(T), A_{wY}(T), A_{wZ}(T)) </math>
 
======av======
The <math>a_v</math> is the total RMS vibration value of the weighted acceleration signal. This value will only be calculated if a sensor have been defined in the definition of direction window.

For each tri-axial sensor, the <math>a_v</math> will be calculated as a quadratic average of the weighted RMS value in the three directions : 

<math display="block" forcemathmode="5">a_v = \sqrt{{a_{vX}}^{2}*{k_{X}}^{2} + {a_{vY}}^{2}*{k_{Y}}^{2} + {a_{vZ}}^{2}*{k_{Z}}^{2}}</math> 
With <math>k_{X,Y,Z}</math> a factor defined in the ISO 2631 as <math>k_{X}=k_{Y}=1.4</math> and <math>k_{Z}=1</math>
 
======Ah======
The <math>A_h</math> is the RMS of the <math>W_h</math> weighted acceleration signal for hand-arms vibration measurement. For each channel, the <math>A_h</math> and <math>A_h(T)</math> will be calculated. The <math>A_h(T)</math> is the Daily exposure value, defined as : 

<math display="block" forcemathmode="5">A_h(T) = A_h*\sqrt{\frac{T}{T_m}}</math> 

With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter. 

If any sensor is defined, the total <math>A_h</math> and <math>A_h(T)</math> will be calculated for each sensor as a quadratic average of the three direction of the sensor : 
<math display="block" forcemathmode="5">A_{h Total} = \sqrt{{a_{hX}}^{2}*{k_{X}}^{2} + {a_{hY}}^{2}*{k_{Y}}^{2} + {a_{hZ}}^{2}*{k_{Z}}^{2}}</math>
 
and : 
 
<math display="block" forcemathmode="5">A_{h Total}(T) = \sqrt{{a_{hX}}^{2}*{k_{X}}^{2} + {a_{hY}}^{2}*{k_{Y}}^{2} + {a_{hZ}}^{2}*{k_{Z}}^{2}}*\sqrt{\frac{T}{T_m}}</math>
 
With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter, and <math>k_{X}=k_{Y}=k_{Z}=1</math>
 

======Peak======

This indicator is the [[NVGate_Time_Domain_Analysis#Available_results|peak amplitude]] of the vibration signal. It represent the maximal amplitude of the weighted signal. This indicator can be obtained in NVGate by [[NVGate Post Analysis|post-analysing]] the weighted signal with the [[NVGate Time Domain Analysis|TDA plugin of NVGate]].

======Crest Factor======

This indicator is the [[NVGate_Time_Domain_Analysis#Available_results|Crest Factor]] of the vibration signal. It represent the importances of the transient event in the signal as the ratio of the maximal Peak amplitude over the RMS level for the weighted signal. This indicator can be obtained in NVGate by [[NVGate Post Analysis|post-analysing]] the weighted signal with the [[NVGate Time Domain Analysis|TDA plugin of NVGate]].

======MTVV======
The MTVV is the Maximal Transient Vibration Value, is the maximum of the running RMS of the weighted acceleration. This value is calculated for each channel and is expressed in m/s².

The MTVV Tau is the integration time, expressed in seconds. This value can be edited before the calculation, but the ISO 2631 recommand to use 1 second. Therefore this is the default value of this parameter.

======VDV======
The VDV is the forth power Vibration Dose Value. It is calculated as a cumulative sum of the weighted acceleration at the forth power. The forth power is used to give more weight to the transient event of the signal over the periodic event. Therefore, this indicator must be used to asses the effect of shock on human health and comfort. The VDV is calculated for each channel and expressed in m/s^(1.75). 

If the "VDVTexp" box is checked, an evaluation of the VDV value over a longer time period will be calculated of each channel as : 
<math display="block" forcemathmode="5">VDV_{X,Y,Z}(T) = VDV_{X,Y,Z}*k_{X,Y,Z}*\sqrt[4]{\frac{T}{T_m}}</math> 

With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter, and <math>k_{X}=k_{Y}=1.4</math>, and <math>k_{Z}=1</math>
======MSDV======
This metric is the Motion Sickness Dose Value, used to evaluate the ride comfort in in-vehicle measurement. It is expressed in m.s^(1.5). 

Although this value will be calculated for each direction, only the Z-direction will have a prominent relevance to assess ride comfort.
======Dk======
<math>D_k</math> is the acceleration dose. It is use to evaluate the effect of vibrations on the human spine, and calculated as the 6th root of the sum of the peaks in the acceleration signal raised at the 6th power. it is expressed in m/s². Peaks are defined as the absolute maximum of the acceleration signal between two zeros crossing. In the Z direction, only the positive peak will be considered, were all positive and negative peaks are used for the X and Y directions. 

Specific filters are used to weight the acceleration signal before calculating the <math>D_k</math>. These filter are different for the vertical and horizontal direction, and are defined for a sampling rate of 160 Sample/second. Therefore, we advise to [[NVGate Recorder|record]] the signal with a low [[NVGate_Front_End#Input_settings|sampling rate]] in NVGate. 

Assessing the affect of the vibration on human spine most is important when dealing with transportation vehicular, especially from driver seat. for a better evaluation, the ISO 2631-5 advise to calculate the daily acceleration dose, defined as : 

<math display="block" forcemathmode="5">D_{X,Y,Z}(T) = D_{X,Y,Z}*\sqrt[6]{\frac{T}{T_m}}</math> 

This value will be calculated if the box "Dk Texp" is checked.

======Se======
The Se is the compressive stress on the human spine, expressed in MPa. It is calculated by the combination the Dk in the three direction. Therefore, it will only be calculated if sensors are defined in the "Select Direction" window. One value of Se will be calculated for each sensor by the formula : 
<math display="block" forcemathmode="5">Se = \sqrt[6]{\sum_{k=X,Y,Z}(D_{k}*m_{k})^6}</math> 

Where <math>m_{X} = 0,015</math> MPa/(m/s²), <math>m_{Y} = 0,035</math> MPa/(m/s²) and <math>m_{Z} = 0,032</math> MPa/(m/s²). 

To evaluate the lumbar stress over a daily exposition time, the Se(T) will also be calculated as : 
<math display="block" forcemathmode="5">Se(T) = \sqrt[6]{\sum_{k=X,Y,Z}(D_{k}(T)*m_{k})^6}</math> 

T being the total exposure duration represented by the "Reference time" parameter. 

====In the toolkit====
Before calculating the indicators in the toolkit, you must define a filter for each directions. Filters will be selected in accordance with the wanted result (Hand-arms; Whole-Body, ..) and the direction of the measurement as specified in the table [[Human_Vibration#Time-weighting_filters|describing the filters]]. Filters will be applied to the signal before calculating the indicators, but the time-filtered signal will not be saved. 
[[Image:proc_filt.png]]
 
You will then need to enter the reference time you want to use to estimate the parameters on a greater duration. This duration must be entered in second. The default value is 288500 second, corresponding to a 8 hours measurement: 
[[Image:Ref_Time.png]]

You will finally need to enter the MTVV Tau value. The MTVV Tau is the integration time in seconds used for the calculation of the MTVV. The ISO 2651 recommand to use 1sec. This is the default value of the setting. 

Once the filters selected and the parameters competed, you can select the metrics you want to calculate by checking the different boxes. 
[[Image:all_proc.png]] 
You can then start the processing to calculate the indicators. 

Here, we are calculating all the indicator for the "Seat_Pad_Measurement" signal. This signal contain 3 Tracks, one for each channel X, Y and Z of a three axis accelerometer. As we want to calculate the multi-axis metrics, we also define a sensor on the three tracks, called "Seat_Pas_3axis". 
[[Image:Set_up_seatPad.png|500px]]
 
Once completed, the result can be find the currently opened project in the [[NVGate Project manager]]. A new measurement called "NAME_OF_THE_Signal_out" containing the result is created. 

[[Image:ResInProjMAn2.png|300px]] 

Each indicator is calculated for each direction and for each track of the signal. The name of the result contain the name of the track, the considered direction and the filter used for that direction (except for the <math>D_k</math> which use specific filters). 
The following picture show the indicators for the first track (SeatPadX) of the signal : 
[[Image:Resut_SeatPad.png|300px]]
 

For the metrics estimated on the "Reference Time", the name the indicator is followed by "(Ref_Time_in_Second"). Here an example with the VDV metric, the name of the indicator is displayed in the window title : 
[[Image:VDV_andTexp.png|800px]]
 

The metrics combining the three directions (av, Se, Ah,...) are named as following : "METRICS_Name : Sensor". By example here for the Se :

[[Image:Se.png|400px]]
 
You can then display the result in NVGate by double clicking.
 
====Unit in NVGate====
To display the right unit for the MSDV;, VDV and Se indicators, you need to modify the [[NVGate_User_Preferences#Physical_quantity|Spare units of NVGate]] as :
* Spare1 : <math>m/{s}^{1.75}</math> for the VDV
* Spare2 : <math>m/{s}^{1.5}</math> for the MSDV
* Spare3 : <math>Pa</math> for the Se (you can adapt the display as MPa).
 
No formulae need to be entered as the calculations are already made in the toolkit. You will only need to enter the unit and your display preferences.
 
==Practical information about measurements==

This section will provide you with some practical informations about Human Vibration evaluations.

Human vibrations are transmitted to the human body over a reasonable amount of time. This transmission mainly happened in vehicle during transportation, in buildings, and when using vibrating equipments and tools, such as electric drills, blowers... are manipulated. Since the last century, quantities of studies showed that vibrations can have many affect on the human body, from discomfort and transport sickness to serious health issues, including blood flow disorder to muscular and rheumatisms. 
Therefore, methods of measurement and evaluation of these vibrations have been developed over the year, and translated into several standards for mechanical appliances to prevent discomfort and harm. 

===Type of measurement===
====Whole-Body Measurement====
Measurement procedures for whole-body vibration evaluation are describe in the ISO2631. That type of vibration will mainly occur in transportations and in the workplace when working with big machinery. Therefore, the evaluation of the vibration will be carried on the part supporting the human body, like backside and feet for a seated person and feet for a standing person. Sensors must be placed to assess vibration to these specific points. Measurement must be carried on the complete system. Meaning the user must be present during the measurement and operate the machine/vehicle as usual. The following picture, extracted from the standard, give indication over the orientation of the sensors : 

[[Image:Axis_WholeBody.png]] 

For each point, the vibration must be measured in the three direction X, Y and Z. AS different weighting will be used for each direction, it is really important that each sensors are oriented according to the same directions. The Z direction must always used in the direction of the human spine. 

Specific sensors must be used in order to detect vibration at the transmission point. For a seated person, [https://www.dytran.com/Model-5313A-Triaxial-Seat-Pad-Accelerometer-P2161/|Seat Pad accelerometer] allow to acquire vibrations at the buttocks : 
[[Image:DytranSeatPad.png]] 
If necessary, the same kind of sensors can by used under the feet of a standing person. These sensor must be fixed to hold in place when the subject move. For vibration transmitted to feet, standard accelerometers can also be placed on the floor. 
 
The length of the measurement should be representative of the whole exposure duration during a day. However, as it is not always possible to acquire long signal, the ISO 2631 specify that measurement must be taken for at least 20 minutes, and 2h measurement are preferable. Using the OROS tool kit, long signals file can be take a lot of time to analyse. In order to analyse signal files longer than 30 minutes, we advise to : 
* reduce the Sampling rate, as frequency bandwidth for Whole-body vibration will note exceed 1kHz.
* Split each sensors over several files
 
Please contact OROS customer care team for advices.
 

====Hand-Arm Measurement====

Capteur avec adaptateurs hand arms

Human Vibration

2020-12-08T17:45:59Z

NIcolasAegerter: /* Whole-Body Measurement */

The OROS Body Vibration tool allow you to evaluate the affect of vibration on the human body according to standards ISO 2651 and ISO 5349. These standard define measurement practice and vibration signal analysis to evaluate the affect on health and and comfort of environmental and equipment vibrations on the Human body. 

The ISO 2651 describe the affect on health and comfort of vibration on the whole-body in transportation system, and the ISO 5349 the affect on health of vibration on hands and arms when manipulating machine-tools or vibrating objects. In the following, we will see how to use OROS to evaluate these effect. 
 
This is a post analysis toolkit, operating alongside NVGate after the recording of the signal and will help you to calculate time-weighted signal of acceleration and specific indicators both defined in the standards. 
[[Image:OROS_BodyVib2.png|800px|none]]
 
==Download & install==
Download the program here (version from 03/12/2020) :
https://orossas.sharepoint.com/:u:/g/support/EXCVJE_bLGZMgHg1mr4p1hwB5ICqdqKBXTK3kH9stxozKg?e=UJg72W

Once downloaded, you can unzip the folder and lunch the installer program Setup_OROS_BodyVibration_Tool_vXX.exe. Follow the step of the program to properly install the software. 

The program will be installed in "C:\OROS\Programs\ExternalTools". Shortcuts are created on the main desktop, in the Windows Start program and in the "Link" repertory of NVGate. By that way you can directly run the program from NVGate.

==How to use==

<ol>
<li>Launch NVGate </li>
<li>Launch OROS_BodyVibration_Tool.exe </li>
<li>Open a project in NVGate </li>

[[File:Open_Proj.png]]
 
<li>In the tool, Click on list measurement to list all the measurement present in the project (only the measurement where the signal files are actually on the disk will be displayed. Ensure you have [[NVGate_Project_manager#Uploading.2FDownloading|downloaded signal from the OR3X disk]]) </li>
[[Image:List_Meas.png|400px|none]]
<li>Add the measurement you want to analyse in the "selected list" area using the ">>" button. Use the "<<" button to remove file if needed. </li>
[[Image:Add_Rmv.png|400px|none]]
<li>Click on "Select Directions" to set the direction and sensor for each channel (This step is not necessary if you only want the time-weighted signals). </li>
[[Image:Select_DOF.png|400px|none]]
<li>Select the weighting you want to apply on the time signal </li>
[[Image:Select_Filter.png|400px|none]]
<li>Select the weighting you want to apply for each direction X, Y and Z used for the indicators </li>
[[Image:Select_Process_Filt.png|400px|none]]
<li>Select the metrics you want to calculate </li>
[[Image:Select_Metric.png|400px|none]]
<li>Click on "Start Processing" </li>
[[Image:Strat_Proc.png|400px|none]]
<li>The processing is completed when a the following pop-up window appear. The results and weighted signal have added to the current NVGate project. See the next sections for details. </li>
[[Image:The_End.png|400px|none]]
</ol>

==Toolkit results==
===Time-weighted signal===
Studies of the affect of vibrations on the human body suggest that part of the body don't have the same response to vibrations, and will be sensitive to specific frequencies and transient component of vibration signal. In order to represent the sensitivity of the human boy, ISO standards defined time-weighting that must applied to the signal according to the environmental conditions. The following part present you how to apply time-weighting filters to your signal using the toolkit.
====Time-weighting filters====
As defined in the standards, specific time weighting must be applied to the acceleration signal in order to represent the effect of vibrations on health and comfort. Here is the list of the different time-weighting filters implemented in the toolkit : 
{| class="wikitable" style="margin: auto;"
|+style="caption-side:bottom;"|''Time-weighting filters''
|-
|style="height:30px; width:100px;"|<math>W_k</math>
|Time weighting for the Z axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_d</math>
|Time weighting for the X and Y axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_h</math>
|Time weighting for the hand-arms measurement in any direction (ISO 5349-1)
|-
|style="height:30px; width:100px;"|<math>W_f</math>
|Time weighting for motion sickness measurement in the vertical direction (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_c</math>
|Time weighting for the X axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_e</math>
|Time weighting for all rotational directions for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_j</math>
|Time weighting for the Z axis for head comfort measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_m</math>
|Time weighting for all directions for building's vibration comfort measurement (ISO 2651-2)
|}

Filters have been validated from 0.5 to 10kHz at 25.6kSample/second.

====Usage in the toolkit====
The toolkit allow you to calculate the filtered raw signal with any of the above weighting filters. This will allow you to display [[NVGate FFT Analyzer|spectrums]] and calculate RMS via [[NVGate_Post_Analysis|post-analysis]] in NVGate.

To calculate the raw weighted signal, simply select the filters you want in the "Time signal filters" section :

[[Image:Filter2.png]]

Once the processing is completed, a new measurement containing the filtered signal for each selected filter is created in [[NVGate Project manager|NVGate Project Manager]] :

[[Image:Filtered_Sig.png|400px]]
 
You can then load the new signals in the player as any NVGate signal. Each track of the signal is filtered with the corresponding filter. 

[[Image:Sig_In_ Player.png|800px]]

===Health and comfort indicator===
In addition to the time-weighting filters, the ISO standards present a series of specific metrics to evaluate the affect of vibrations on the Human body. The following section will present you how to use the toolkit to access these metrics.
====Indicators====

{| class="wikitable" style="margin: auto;"
|+style="caption-side:bottom;"|''Body vibration indicators''
|-
|style="height:30px; width:100px;"|<math>A_w</math>
|RMS of the weighted acceleration magnitude.
|-
|style="height:30px; width:100px;"|<math>a_v</math>
|Total RMS value calculated as a quadratic average of the three direction for each tri-axial sensor.
|-
|style="height:30px; width:100px;"|<math>A_h</math>
|RMS of the <math>W_h</math> weighted acceleration magnitude.
|-
|style="height:30px; width:100px;"|<math>Peak</math>
|Amplitude Peak of the vibration; maximal amplitude of the signal from the 0 (Calculated from Post processing in NVGate)
|-
|style="height:30px; width:100px;"|<math>Crest factor</math>
|Ratio between the Peak level and the RMS of the weighted signal(Calculated from Post processing in NVGate)
|-
|style="height:30px; width:100px;"|<math>MTVV</math>
|Maximum Transient Vibration Value, represent the maximal RMS value of the signal
|-
|style="height:30px; width:100px;"|<math>VDV</math>
|Vibration Dose Value, taking into account the temporal shocks in the signal
|-
|style="height:30px; width:100px;"|<math>MSDV</math>
|Motion Sickness Dose Value, representing the comfort in transportation measurement
|-
|style="height:30px; width:100px;"|<math>D_k</math>
|The Acceleration Dose, representing the affect of the vibration on the spine
|-
|style="height:30px; width:100px;"|<math>Se</math>
|The equivalent Static compression stress on the spine, caused by repeated shocks
|}

======Aw======

The <math>A_w</math> is the RMS of the weighted acceleration signal. The weighting is applied in accordance with the direction set for each channel and the weighting filter defined for the direction. 

For each channel, the <math>A_w</math> and <math>A_w(T)</math> will be calculated. The <math>A_w(T)</math> is the Daily exposure value, defined as : 
<math display="block" forcemathmode="5">A_w(T) = A_w*k_{i}*\sqrt{\frac{T}{T_m}}</math>
 
With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter. the <math>k_i</math> factor is defined in the ISO 2631 as <math>k_X = k_Y = 1.4</math> and <math>k_Z = 1</math>.

When comparing result from one measurement point in the three direction, the maximum of the Daily exposure value must be used as the total daily exposure value at that point : 
<math display="block" forcemathmode="5">A_w(T) = max(A_{wX}(T), A_{wY}(T), A_{wZ}(T)) </math>
 
======av======
The <math>a_v</math> is the total RMS vibration value of the weighted acceleration signal. This value will only be calculated if a sensor have been defined in the definition of direction window.

For each tri-axial sensor, the <math>a_v</math> will be calculated as a quadratic average of the weighted RMS value in the three directions : 

<math display="block" forcemathmode="5">a_v = \sqrt{{a_{vX}}^{2}*{k_{X}}^{2} + {a_{vY}}^{2}*{k_{Y}}^{2} + {a_{vZ}}^{2}*{k_{Z}}^{2}}</math> 
With <math>k_{X,Y,Z}</math> a factor defined in the ISO 2631 as <math>k_{X}=k_{Y}=1.4</math> and <math>k_{Z}=1</math>
 
======Ah======
The <math>A_h</math> is the RMS of the <math>W_h</math> weighted acceleration signal for hand-arms vibration measurement. For each channel, the <math>A_h</math> and <math>A_h(T)</math> will be calculated. The <math>A_h(T)</math> is the Daily exposure value, defined as : 

<math display="block" forcemathmode="5">A_h(T) = A_h*\sqrt{\frac{T}{T_m}}</math> 

With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter. 

If any sensor is defined, the total <math>A_h</math> and <math>A_h(T)</math> will be calculated for each sensor as a quadratic average of the three direction of the sensor : 
<math display="block" forcemathmode="5">A_{h Total} = \sqrt{{a_{hX}}^{2}*{k_{X}}^{2} + {a_{hY}}^{2}*{k_{Y}}^{2} + {a_{hZ}}^{2}*{k_{Z}}^{2}}</math>
 
and : 
 
<math display="block" forcemathmode="5">A_{h Total}(T) = \sqrt{{a_{hX}}^{2}*{k_{X}}^{2} + {a_{hY}}^{2}*{k_{Y}}^{2} + {a_{hZ}}^{2}*{k_{Z}}^{2}}*\sqrt{\frac{T}{T_m}}</math>
 
With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter, and <math>k_{X}=k_{Y}=k_{Z}=1</math>
 

======Peak======

This indicator is the [[NVGate_Time_Domain_Analysis#Available_results|peak amplitude]] of the vibration signal. It represent the maximal amplitude of the weighted signal. This indicator can be obtained in NVGate by [[NVGate Post Analysis|post-analysing]] the weighted signal with the [[NVGate Time Domain Analysis|TDA plugin of NVGate]].

======Crest Factor======

This indicator is the [[NVGate_Time_Domain_Analysis#Available_results|Crest Factor]] of the vibration signal. It represent the importances of the transient event in the signal as the ratio of the maximal Peak amplitude over the RMS level for the weighted signal. This indicator can be obtained in NVGate by [[NVGate Post Analysis|post-analysing]] the weighted signal with the [[NVGate Time Domain Analysis|TDA plugin of NVGate]].

======MTVV======
The MTVV is the Maximal Transient Vibration Value, is the maximum of the running RMS of the weighted acceleration. This value is calculated for each channel and is expressed in m/s².

The MTVV Tau is the integration time, expressed in seconds. This value can be edited before the calculation, but the ISO 2631 recommand to use 1 second. Therefore this is the default value of this parameter.

======VDV======
The VDV is the forth power Vibration Dose Value. It is calculated as a cumulative sum of the weighted acceleration at the forth power. The forth power is used to give more weight to the transient event of the signal over the periodic event. Therefore, this indicator must be used to asses the effect of shock on human health and comfort. The VDV is calculated for each channel and expressed in m/s^(1.75). 

If the "VDVTexp" box is checked, an evaluation of the VDV value over a longer time period will be calculated of each channel as : 
<math display="block" forcemathmode="5">VDV_{X,Y,Z}(T) = VDV_{X,Y,Z}*k_{X,Y,Z}*\sqrt[4]{\frac{T}{T_m}}</math> 

With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter, and <math>k_{X}=k_{Y}=1.4</math>, and <math>k_{Z}=1</math>
======MSDV======
This metric is the Motion Sickness Dose Value, used to evaluate the ride comfort in in-vehicle measurement. It is expressed in m.s^(1.5). 

Although this value will be calculated for each direction, only the Z-direction will have a prominent relevance to assess ride comfort.
======Dk======
<math>D_k</math> is the acceleration dose. It is use to evaluate the effect of vibrations on the human spine, and calculated as the 6th root of the sum of the peaks in the acceleration signal raised at the 6th power. it is expressed in m/s². Peaks are defined as the absolute maximum of the acceleration signal between two zeros crossing. In the Z direction, only the positive peak will be considered, were all positive and negative peaks are used for the X and Y directions. 

Specific filters are used to weight the acceleration signal before calculating the <math>D_k</math>. These filter are different for the vertical and horizontal direction, and are defined for a sampling rate of 160 Sample/second. Therefore, we advise to [[NVGate Recorder|record]] the signal with a low [[NVGate_Front_End#Input_settings|sampling rate]] in NVGate. 

Assessing the affect of the vibration on human spine most is important when dealing with transportation vehicular, especially from driver seat. for a better evaluation, the ISO 2631-5 advise to calculate the daily acceleration dose, defined as : 

<math display="block" forcemathmode="5">D_{X,Y,Z}(T) = D_{X,Y,Z}*\sqrt[6]{\frac{T}{T_m}}</math> 

This value will be calculated if the box "Dk Texp" is checked.

======Se======
The Se is the compressive stress on the human spine, expressed in MPa. It is calculated by the combination the Dk in the three direction. Therefore, it will only be calculated if sensors are defined in the "Select Direction" window. One value of Se will be calculated for each sensor by the formula : 
<math display="block" forcemathmode="5">Se = \sqrt[6]{\sum_{k=X,Y,Z}(D_{k}*m_{k})^6}</math> 

Where <math>m_{X} = 0,015</math> MPa/(m/s²), <math>m_{Y} = 0,035</math> MPa/(m/s²) and <math>m_{Z} = 0,032</math> MPa/(m/s²). 

To evaluate the lumbar stress over a daily exposition time, the Se(T) will also be calculated as : 
<math display="block" forcemathmode="5">Se(T) = \sqrt[6]{\sum_{k=X,Y,Z}(D_{k}(T)*m_{k})^6}</math> 

T being the total exposure duration represented by the "Reference time" parameter. 

====In the toolkit====
Before calculating the indicators in the toolkit, you must define a filter for each directions. Filters will be selected in accordance with the wanted result (Hand-arms; Whole-Body, ..) and the direction of the measurement as specified in the table [[Human_Vibration#Time-weighting_filters|describing the filters]]. Filters will be applied to the signal before calculating the indicators, but the time-filtered signal will not be saved. 
[[Image:proc_filt.png]]
 
You will then need to enter the reference time you want to use to estimate the parameters on a greater duration. This duration must be entered in second. The default value is 288500 second, corresponding to a 8 hours measurement: 
[[Image:Ref_Time.png]]

You will finally need to enter the MTVV Tau value. The MTVV Tau is the integration time in seconds used for the calculation of the MTVV. The ISO 2651 recommand to use 1sec. This is the default value of the setting. 

Once the filters selected and the parameters competed, you can select the metrics you want to calculate by checking the different boxes. 
[[Image:all_proc.png]] 
You can then start the processing to calculate the indicators. 

Here, we are calculating all the indicator for the "Seat_Pad_Measurement" signal. This signal contain 3 Tracks, one for each channel X, Y and Z of a three axis accelerometer. As we want to calculate the multi-axis metrics, we also define a sensor on the three tracks, called "Seat_Pas_3axis". 
[[Image:Set_up_seatPad.png|500px]]
 
Once completed, the result can be find the currently opened project in the [[NVGate Project manager]]. A new measurement called "NAME_OF_THE_Signal_out" containing the result is created. 

[[Image:ResInProjMAn2.png|300px]] 

Each indicator is calculated for each direction and for each track of the signal. The name of the result contain the name of the track, the considered direction and the filter used for that direction (except for the <math>D_k</math> which use specific filters). 
The following picture show the indicators for the first track (SeatPadX) of the signal : 
[[Image:Resut_SeatPad.png|300px]]
 

For the metrics estimated on the "Reference Time", the name the indicator is followed by "(Ref_Time_in_Second"). Here an example with the VDV metric, the name of the indicator is displayed in the window title : 
[[Image:VDV_andTexp.png|800px]]
 

The metrics combining the three directions (av, Se, Ah,...) are named as following : "METRICS_Name : Sensor". By example here for the Se :

[[Image:Se.png|400px]]
 
You can then display the result in NVGate by double clicking.
 
====Unit in NVGate====
To display the right unit for the MSDV;, VDV and Se indicators, you need to modify the [[NVGate_User_Preferences#Physical_quantity|Spare units of NVGate]] as :
* Spare1 : <math>m/{s}^{1.75}</math> for the VDV
* Spare2 : <math>m/{s}^{1.5}</math> for the MSDV
* Spare3 : <math>Pa</math> for the Se (you can adapt the display as MPa).
 
No formulae need to be entered as the calculations are already made in the toolkit. You will only need to enter the unit and your display preferences.
 
==Practical information about measurements==

This section will provide you with some practical informations about Human Vibration evaluations.

Human vibrations are transmitted to the human body over a reasonable amount of time. This transmission mainly happened in vehicle during transportation, in buildings, and when using vibrating equipments and tools, such as electric drills, blowers... are manipulated. Since the last century, quantities of studies showed that vibrations can have many affect on the human body, from discomfort and transport sickness to serious health issues, including blood flow disorder to muscular and rheumatisms. 
Therefore, methods of measurement and evaluation of these vibrations have been developed over the year, and translated into several standards for mechanical appliances to prevent discomfort and harm. 

===Type of measurement===
====Whole-Body Measurement====
Measurement procedures for whole-body vibration evaluation are describe in the ISO2631. That type of vibration will mainly occur in transportations and in the workplace when working with big machinery. Therefore, the evaluation of the vibration will be carried on the part supporting the human body, like backside and feet for a seated person and feet for a standing person. Sensors must be placed to assess vibration to these specific points. Measurement must be carried on the complete system. Meaning the user must be present during the measurement and operate the machine/vehicle as usual. The following picture, extracted from the standard, give indication over the orientation of the sensors : 

[[Image:Axis_WholeBody.png]] 

For each point, the vibration must be measured in the three direction X, Y and Z. AS different weighting will be used for each direction, it is really important that each sensors are oriented according to the same directions. The Z direction must always used in the direction of the human spine. 

Specific sensors must be used in order to detect vibration at the transmission point. For a seated person, [https://www.dytran.com/Model-5313A-Triaxial-Seat-Pad-Accelerometer-P2161/|Seat Pad accelerometer] allow to acquire vibrations at the buttocks : 
[[Image:DytranSeatPad.png]] 
If necessary, the same kind of sensors can by used under the feet of a standing person. These sensor must be fixed to hold in place when the subject move. For vibration transmitted to feet, standard accelerometers can also be placed on the floor. 
[[Image:DytranSeatPad.png]] 
The length of the measurement should be representative of the whole exposure duration during a day. However, as it is not always possible to acquire long signal, the ISO 2631 specify that measurement must be taken for at least 20 minutes, and 2h measurement are preferable. Using the OROS tool kit, long signals file can be take a lot of time to analyse. In order to analyse signal files longer than 30 minutes, we advise to : 
* reduce the Sampling rate, as frequency bandwidth for Whole-body vibration will note exceed 1kHz.
* Split each sensors over several files
 
Please contact OROS customer care team for advices.
 

====Hand-Arm Measurement====

Capteur avec adaptateurs hand arms

Human Vibration

2020-12-08T17:30:20Z

NIcolasAegerter: /* Type of measurement */

The OROS Body Vibration tool allow you to evaluate the affect of vibration on the human body according to standards ISO 2651 and ISO 5349. These standard define measurement practice and vibration signal analysis to evaluate the affect on health and and comfort of environmental and equipment vibrations on the Human body. 

The ISO 2651 describe the affect on health and comfort of vibration on the whole-body in transportation system, and the ISO 5349 the affect on health of vibration on hands and arms when manipulating machine-tools or vibrating objects. In the following, we will see how to use OROS to evaluate these effect. 
 
This is a post analysis toolkit, operating alongside NVGate after the recording of the signal and will help you to calculate time-weighted signal of acceleration and specific indicators both defined in the standards. 
[[Image:OROS_BodyVib2.png|800px|none]]
 
==Download & install==
Download the program here (version from 03/12/2020) :
https://orossas.sharepoint.com/:u:/g/support/EXCVJE_bLGZMgHg1mr4p1hwB5ICqdqKBXTK3kH9stxozKg?e=UJg72W

Once downloaded, you can unzip the folder and lunch the installer program Setup_OROS_BodyVibration_Tool_vXX.exe. Follow the step of the program to properly install the software. 

The program will be installed in "C:\OROS\Programs\ExternalTools". Shortcuts are created on the main desktop, in the Windows Start program and in the "Link" repertory of NVGate. By that way you can directly run the program from NVGate.

==How to use==

<ol>
<li>Launch NVGate </li>
<li>Launch OROS_BodyVibration_Tool.exe </li>
<li>Open a project in NVGate </li>

[[File:Open_Proj.png]]
 
<li>In the tool, Click on list measurement to list all the measurement present in the project (only the measurement where the signal files are actually on the disk will be displayed. Ensure you have [[NVGate_Project_manager#Uploading.2FDownloading|downloaded signal from the OR3X disk]]) </li>
[[Image:List_Meas.png|400px|none]]
<li>Add the measurement you want to analyse in the "selected list" area using the ">>" button. Use the "<<" button to remove file if needed. </li>
[[Image:Add_Rmv.png|400px|none]]
<li>Click on "Select Directions" to set the direction and sensor for each channel (This step is not necessary if you only want the time-weighted signals). </li>
[[Image:Select_DOF.png|400px|none]]
<li>Select the weighting you want to apply on the time signal </li>
[[Image:Select_Filter.png|400px|none]]
<li>Select the weighting you want to apply for each direction X, Y and Z used for the indicators </li>
[[Image:Select_Process_Filt.png|400px|none]]
<li>Select the metrics you want to calculate </li>
[[Image:Select_Metric.png|400px|none]]
<li>Click on "Start Processing" </li>
[[Image:Strat_Proc.png|400px|none]]
<li>The processing is completed when a the following pop-up window appear. The results and weighted signal have added to the current NVGate project. See the next sections for details. </li>
[[Image:The_End.png|400px|none]]
</ol>

==Toolkit results==
===Time-weighted signal===
Studies of the affect of vibrations on the human body suggest that part of the body don't have the same response to vibrations, and will be sensitive to specific frequencies and transient component of vibration signal. In order to represent the sensitivity of the human boy, ISO standards defined time-weighting that must applied to the signal according to the environmental conditions. The following part present you how to apply time-weighting filters to your signal using the toolkit.
====Time-weighting filters====
As defined in the standards, specific time weighting must be applied to the acceleration signal in order to represent the effect of vibrations on health and comfort. Here is the list of the different time-weighting filters implemented in the toolkit : 
{| class="wikitable" style="margin: auto;"
|+style="caption-side:bottom;"|''Time-weighting filters''
|-
|style="height:30px; width:100px;"|<math>W_k</math>
|Time weighting for the Z axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_d</math>
|Time weighting for the X and Y axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_h</math>
|Time weighting for the hand-arms measurement in any direction (ISO 5349-1)
|-
|style="height:30px; width:100px;"|<math>W_f</math>
|Time weighting for motion sickness measurement in the vertical direction (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_c</math>
|Time weighting for the X axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_e</math>
|Time weighting for all rotational directions for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_j</math>
|Time weighting for the Z axis for head comfort measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_m</math>
|Time weighting for all directions for building's vibration comfort measurement (ISO 2651-2)
|}

Filters have been validated from 0.5 to 10kHz at 25.6kSample/second.

====Usage in the toolkit====
The toolkit allow you to calculate the filtered raw signal with any of the above weighting filters. This will allow you to display [[NVGate FFT Analyzer|spectrums]] and calculate RMS via [[NVGate_Post_Analysis|post-analysis]] in NVGate.

To calculate the raw weighted signal, simply select the filters you want in the "Time signal filters" section :

[[Image:Filter2.png]]

Once the processing is completed, a new measurement containing the filtered signal for each selected filter is created in [[NVGate Project manager|NVGate Project Manager]] :

[[Image:Filtered_Sig.png|400px]]
 
You can then load the new signals in the player as any NVGate signal. Each track of the signal is filtered with the corresponding filter. 

[[Image:Sig_In_ Player.png|800px]]

===Health and comfort indicator===
In addition to the time-weighting filters, the ISO standards present a series of specific metrics to evaluate the affect of vibrations on the Human body. The following section will present you how to use the toolkit to access these metrics.
====Indicators====

{| class="wikitable" style="margin: auto;"
|+style="caption-side:bottom;"|''Body vibration indicators''
|-
|style="height:30px; width:100px;"|<math>A_w</math>
|RMS of the weighted acceleration magnitude.
|-
|style="height:30px; width:100px;"|<math>a_v</math>
|Total RMS value calculated as a quadratic average of the three direction for each tri-axial sensor.
|-
|style="height:30px; width:100px;"|<math>A_h</math>
|RMS of the <math>W_h</math> weighted acceleration magnitude.
|-
|style="height:30px; width:100px;"|<math>Peak</math>
|Amplitude Peak of the vibration; maximal amplitude of the signal from the 0 (Calculated from Post processing in NVGate)
|-
|style="height:30px; width:100px;"|<math>Crest factor</math>
|Ratio between the Peak level and the RMS of the weighted signal(Calculated from Post processing in NVGate)
|-
|style="height:30px; width:100px;"|<math>MTVV</math>
|Maximum Transient Vibration Value, represent the maximal RMS value of the signal
|-
|style="height:30px; width:100px;"|<math>VDV</math>
|Vibration Dose Value, taking into account the temporal shocks in the signal
|-
|style="height:30px; width:100px;"|<math>MSDV</math>
|Motion Sickness Dose Value, representing the comfort in transportation measurement
|-
|style="height:30px; width:100px;"|<math>D_k</math>
|The Acceleration Dose, representing the affect of the vibration on the spine
|-
|style="height:30px; width:100px;"|<math>Se</math>
|The equivalent Static compression stress on the spine, caused by repeated shocks
|}

======Aw======

The <math>A_w</math> is the RMS of the weighted acceleration signal. The weighting is applied in accordance with the direction set for each channel and the weighting filter defined for the direction. 

For each channel, the <math>A_w</math> and <math>A_w(T)</math> will be calculated. The <math>A_w(T)</math> is the Daily exposure value, defined as : 
<math display="block" forcemathmode="5">A_w(T) = A_w*k_{i}*\sqrt{\frac{T}{T_m}}</math>
 
With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter. the <math>k_i</math> factor is defined in the ISO 2631 as <math>k_X = k_Y = 1.4</math> and <math>k_Z = 1</math>.

When comparing result from one measurement point in the three direction, the maximum of the Daily exposure value must be used as the total daily exposure value at that point : 
<math display="block" forcemathmode="5">A_w(T) = max(A_{wX}(T), A_{wY}(T), A_{wZ}(T)) </math>
 
======av======
The <math>a_v</math> is the total RMS vibration value of the weighted acceleration signal. This value will only be calculated if a sensor have been defined in the definition of direction window.

For each tri-axial sensor, the <math>a_v</math> will be calculated as a quadratic average of the weighted RMS value in the three directions : 

<math display="block" forcemathmode="5">a_v = \sqrt{{a_{vX}}^{2}*{k_{X}}^{2} + {a_{vY}}^{2}*{k_{Y}}^{2} + {a_{vZ}}^{2}*{k_{Z}}^{2}}</math> 
With <math>k_{X,Y,Z}</math> a factor defined in the ISO 2631 as <math>k_{X}=k_{Y}=1.4</math> and <math>k_{Z}=1</math>
 
======Ah======
The <math>A_h</math> is the RMS of the <math>W_h</math> weighted acceleration signal for hand-arms vibration measurement. For each channel, the <math>A_h</math> and <math>A_h(T)</math> will be calculated. The <math>A_h(T)</math> is the Daily exposure value, defined as : 

<math display="block" forcemathmode="5">A_h(T) = A_h*\sqrt{\frac{T}{T_m}}</math> 

With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter. 

If any sensor is defined, the total <math>A_h</math> and <math>A_h(T)</math> will be calculated for each sensor as a quadratic average of the three direction of the sensor : 
<math display="block" forcemathmode="5">A_{h Total} = \sqrt{{a_{hX}}^{2}*{k_{X}}^{2} + {a_{hY}}^{2}*{k_{Y}}^{2} + {a_{hZ}}^{2}*{k_{Z}}^{2}}</math>
 
and : 
 
<math display="block" forcemathmode="5">A_{h Total}(T) = \sqrt{{a_{hX}}^{2}*{k_{X}}^{2} + {a_{hY}}^{2}*{k_{Y}}^{2} + {a_{hZ}}^{2}*{k_{Z}}^{2}}*\sqrt{\frac{T}{T_m}}</math>
 
With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter, and <math>k_{X}=k_{Y}=k_{Z}=1</math>
 

======Peak======

This indicator is the [[NVGate_Time_Domain_Analysis#Available_results|peak amplitude]] of the vibration signal. It represent the maximal amplitude of the weighted signal. This indicator can be obtained in NVGate by [[NVGate Post Analysis|post-analysing]] the weighted signal with the [[NVGate Time Domain Analysis|TDA plugin of NVGate]].

======Crest Factor======

This indicator is the [[NVGate_Time_Domain_Analysis#Available_results|Crest Factor]] of the vibration signal. It represent the importances of the transient event in the signal as the ratio of the maximal Peak amplitude over the RMS level for the weighted signal. This indicator can be obtained in NVGate by [[NVGate Post Analysis|post-analysing]] the weighted signal with the [[NVGate Time Domain Analysis|TDA plugin of NVGate]].

======MTVV======
The MTVV is the Maximal Transient Vibration Value, is the maximum of the running RMS of the weighted acceleration. This value is calculated for each channel and is expressed in m/s².

The MTVV Tau is the integration time, expressed in seconds. This value can be edited before the calculation, but the ISO 2631 recommand to use 1 second. Therefore this is the default value of this parameter.

======VDV======
The VDV is the forth power Vibration Dose Value. It is calculated as a cumulative sum of the weighted acceleration at the forth power. The forth power is used to give more weight to the transient event of the signal over the periodic event. Therefore, this indicator must be used to asses the effect of shock on human health and comfort. The VDV is calculated for each channel and expressed in m/s^(1.75). 

If the "VDVTexp" box is checked, an evaluation of the VDV value over a longer time period will be calculated of each channel as : 
<math display="block" forcemathmode="5">VDV_{X,Y,Z}(T) = VDV_{X,Y,Z}*k_{X,Y,Z}*\sqrt[4]{\frac{T}{T_m}}</math> 

With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter, and <math>k_{X}=k_{Y}=1.4</math>, and <math>k_{Z}=1</math>
======MSDV======
This metric is the Motion Sickness Dose Value, used to evaluate the ride comfort in in-vehicle measurement. It is expressed in m.s^(1.5). 

Although this value will be calculated for each direction, only the Z-direction will have a prominent relevance to assess ride comfort.
======Dk======
<math>D_k</math> is the acceleration dose. It is use to evaluate the effect of vibrations on the human spine, and calculated as the 6th root of the sum of the peaks in the acceleration signal raised at the 6th power. it is expressed in m/s². Peaks are defined as the absolute maximum of the acceleration signal between two zeros crossing. In the Z direction, only the positive peak will be considered, were all positive and negative peaks are used for the X and Y directions. 

Specific filters are used to weight the acceleration signal before calculating the <math>D_k</math>. These filter are different for the vertical and horizontal direction, and are defined for a sampling rate of 160 Sample/second. Therefore, we advise to [[NVGate Recorder|record]] the signal with a low [[NVGate_Front_End#Input_settings|sampling rate]] in NVGate. 

Assessing the affect of the vibration on human spine most is important when dealing with transportation vehicular, especially from driver seat. for a better evaluation, the ISO 2631-5 advise to calculate the daily acceleration dose, defined as : 

<math display="block" forcemathmode="5">D_{X,Y,Z}(T) = D_{X,Y,Z}*\sqrt[6]{\frac{T}{T_m}}</math> 

This value will be calculated if the box "Dk Texp" is checked.

======Se======
The Se is the compressive stress on the human spine, expressed in MPa. It is calculated by the combination the Dk in the three direction. Therefore, it will only be calculated if sensors are defined in the "Select Direction" window. One value of Se will be calculated for each sensor by the formula : 
<math display="block" forcemathmode="5">Se = \sqrt[6]{\sum_{k=X,Y,Z}(D_{k}*m_{k})^6}</math> 

Where <math>m_{X} = 0,015</math> MPa/(m/s²), <math>m_{Y} = 0,035</math> MPa/(m/s²) and <math>m_{Z} = 0,032</math> MPa/(m/s²). 

To evaluate the lumbar stress over a daily exposition time, the Se(T) will also be calculated as : 
<math display="block" forcemathmode="5">Se(T) = \sqrt[6]{\sum_{k=X,Y,Z}(D_{k}(T)*m_{k})^6}</math> 

T being the total exposure duration represented by the "Reference time" parameter. 

====In the toolkit====
Before calculating the indicators in the toolkit, you must define a filter for each directions. Filters will be selected in accordance with the wanted result (Hand-arms; Whole-Body, ..) and the direction of the measurement as specified in the table [[Human_Vibration#Time-weighting_filters|describing the filters]]. Filters will be applied to the signal before calculating the indicators, but the time-filtered signal will not be saved. 
[[Image:proc_filt.png]]
 
You will then need to enter the reference time you want to use to estimate the parameters on a greater duration. This duration must be entered in second. The default value is 288500 second, corresponding to a 8 hours measurement: 
[[Image:Ref_Time.png]]

You will finally need to enter the MTVV Tau value. The MTVV Tau is the integration time in seconds used for the calculation of the MTVV. The ISO 2651 recommand to use 1sec. This is the default value of the setting. 

Once the filters selected and the parameters competed, you can select the metrics you want to calculate by checking the different boxes. 
[[Image:all_proc.png]] 
You can then start the processing to calculate the indicators. 

Here, we are calculating all the indicator for the "Seat_Pad_Measurement" signal. This signal contain 3 Tracks, one for each channel X, Y and Z of a three axis accelerometer. As we want to calculate the multi-axis metrics, we also define a sensor on the three tracks, called "Seat_Pas_3axis". 
[[Image:Set_up_seatPad.png|500px]]
 
Once completed, the result can be find the currently opened project in the [[NVGate Project manager]]. A new measurement called "NAME_OF_THE_Signal_out" containing the result is created. 

[[Image:ResInProjMAn2.png|300px]] 

Each indicator is calculated for each direction and for each track of the signal. The name of the result contain the name of the track, the considered direction and the filter used for that direction (except for the <math>D_k</math> which use specific filters). 
The following picture show the indicators for the first track (SeatPadX) of the signal : 
[[Image:Resut_SeatPad.png|300px]]
 

For the metrics estimated on the "Reference Time", the name the indicator is followed by "(Ref_Time_in_Second"). Here an example with the VDV metric, the name of the indicator is displayed in the window title : 
[[Image:VDV_andTexp.png|800px]]
 

The metrics combining the three directions (av, Se, Ah,...) are named as following : "METRICS_Name : Sensor". By example here for the Se :

[[Image:Se.png|400px]]
 
You can then display the result in NVGate by double clicking.
 
====Unit in NVGate====
To display the right unit for the MSDV;, VDV and Se indicators, you need to modify the [[NVGate_User_Preferences#Physical_quantity|Spare units of NVGate]] as :
* Spare1 : <math>m/{s}^{1.75}</math> for the VDV
* Spare2 : <math>m/{s}^{1.5}</math> for the MSDV
* Spare3 : <math>Pa</math> for the Se (you can adapt the display as MPa).
 
No formulae need to be entered as the calculations are already made in the toolkit. You will only need to enter the unit and your display preferences.
 
==Practical information about measurements==

This section will provide you with some practical informations about Human Vibration evaluations.

Human vibrations are transmitted to the human body over a reasonable amount of time. This transmission mainly happened in vehicle during transportation, in buildings, and when using vibrating equipments and tools, such as electric drills, blowers... are manipulated. Since the last century, quantities of studies showed that vibrations can have many affect on the human body, from discomfort and transport sickness to serious health issues, including blood flow disorder to muscular and rheumatisms. 
Therefore, methods of measurement and evaluation of these vibrations have been developed over the year, and translated into several standards for mechanical appliances to prevent discomfort and harm. 

===Type of measurement===
====Whole-Body Measurement====
Measurement procedures for whole-body vibration evaluation are describe in the ISO2631. That type of vibration will mainly occur in transportations and in the workplace when working with big machinery. Therefore, the evaluation of the vibration will be carried on the part supporting the human body, like backside and feet for a seated person and feet for a standing person. Sensors must be placed to assess vibration to these specific points. Measurement must be carried on the complete system. Meaning the user must be present during the measurement and operate the machine/vehicle as usual. The following picture, exctracted from the standard, give indication over the orientation of the sensors : 

[[Image:Axis_WholeBody.png]] 

For each point, the vibration must be measured in the three direction X, Y and Z. AS different weighting will be used for each direction, it is really important that each sensors are oriented according to the same directions. The Z direction must always used in the direction of the human spine. 

Specific sensors must be used in order to detect vibration at the transmission point. For a seated person, [https://www.dytran.com/Model-5313A-Triaxial-Seat-Pad-Accelerometer-P2161/|Seat Pad accelerometer] allow to acquire vibrations at the buttock of the seated person. If necessary, same kind of sensors can by used under the feet of a standing person. These sensor must be fixed to hold in place when the subject move. For vibration transmitted to feet, standard accelerometers can also be placed on the floor. 
[[Image:DytranSeatPad.png]] 
There is no precise rules about the lenght of the measurement. However, the ISO 2631 specify that measurement must be taken for at least 20 minutes,

Capteur avec adaptateurs hand arms

File:DytranSeatPad.png

2020-12-08T17:27:41Z

NIcolasAegerter: File uploaded with MsUpload

File uploaded with MsUpload

File:Axis WholeBody.png

2020-12-08T17:27:28Z

NIcolasAegerter: File uploaded with MsUpload

File uploaded with MsUpload

Human Vibration

2020-12-08T17:25:26Z

NIcolasAegerter: /* Practical information about measurements */

The OROS Body Vibration tool allow you to evaluate the affect of vibration on the human body according to standards ISO 2651 and ISO 5349. These standard define measurement practice and vibration signal analysis to evaluate the affect on health and and comfort of environmental and equipment vibrations on the Human body. 

The ISO 2651 describe the affect on health and comfort of vibration on the whole-body in transportation system, and the ISO 5349 the affect on health of vibration on hands and arms when manipulating machine-tools or vibrating objects. In the following, we will see how to use OROS to evaluate these effect. 
 
This is a post analysis toolkit, operating alongside NVGate after the recording of the signal and will help you to calculate time-weighted signal of acceleration and specific indicators both defined in the standards. 
[[Image:OROS_BodyVib2.png|800px|none]]
 
==Download & install==
Download the program here (version from 03/12/2020) :
https://orossas.sharepoint.com/:u:/g/support/EXCVJE_bLGZMgHg1mr4p1hwB5ICqdqKBXTK3kH9stxozKg?e=UJg72W

Once downloaded, you can unzip the folder and lunch the installer program Setup_OROS_BodyVibration_Tool_vXX.exe. Follow the step of the program to properly install the software. 

The program will be installed in "C:\OROS\Programs\ExternalTools". Shortcuts are created on the main desktop, in the Windows Start program and in the "Link" repertory of NVGate. By that way you can directly run the program from NVGate.

==How to use==

<ol>
<li>Launch NVGate </li>
<li>Launch OROS_BodyVibration_Tool.exe </li>
<li>Open a project in NVGate </li>

[[File:Open_Proj.png]]
 
<li>In the tool, Click on list measurement to list all the measurement present in the project (only the measurement where the signal files are actually on the disk will be displayed. Ensure you have [[NVGate_Project_manager#Uploading.2FDownloading|downloaded signal from the OR3X disk]]) </li>
[[Image:List_Meas.png|400px|none]]
<li>Add the measurement you want to analyse in the "selected list" area using the ">>" button. Use the "<<" button to remove file if needed. </li>
[[Image:Add_Rmv.png|400px|none]]
<li>Click on "Select Directions" to set the direction and sensor for each channel (This step is not necessary if you only want the time-weighted signals). </li>
[[Image:Select_DOF.png|400px|none]]
<li>Select the weighting you want to apply on the time signal </li>
[[Image:Select_Filter.png|400px|none]]
<li>Select the weighting you want to apply for each direction X, Y and Z used for the indicators </li>
[[Image:Select_Process_Filt.png|400px|none]]
<li>Select the metrics you want to calculate </li>
[[Image:Select_Metric.png|400px|none]]
<li>Click on "Start Processing" </li>
[[Image:Strat_Proc.png|400px|none]]
<li>The processing is completed when a the following pop-up window appear. The results and weighted signal have added to the current NVGate project. See the next sections for details. </li>
[[Image:The_End.png|400px|none]]
</ol>

==Toolkit results==
===Time-weighted signal===
Studies of the affect of vibrations on the human body suggest that part of the body don't have the same response to vibrations, and will be sensitive to specific frequencies and transient component of vibration signal. In order to represent the sensitivity of the human boy, ISO standards defined time-weighting that must applied to the signal according to the environmental conditions. The following part present you how to apply time-weighting filters to your signal using the toolkit.
====Time-weighting filters====
As defined in the standards, specific time weighting must be applied to the acceleration signal in order to represent the effect of vibrations on health and comfort. Here is the list of the different time-weighting filters implemented in the toolkit : 
{| class="wikitable" style="margin: auto;"
|+style="caption-side:bottom;"|''Time-weighting filters''
|-
|style="height:30px; width:100px;"|<math>W_k</math>
|Time weighting for the Z axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_d</math>
|Time weighting for the X and Y axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_h</math>
|Time weighting for the hand-arms measurement in any direction (ISO 5349-1)
|-
|style="height:30px; width:100px;"|<math>W_f</math>
|Time weighting for motion sickness measurement in the vertical direction (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_c</math>
|Time weighting for the X axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_e</math>
|Time weighting for all rotational directions for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_j</math>
|Time weighting for the Z axis for head comfort measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_m</math>
|Time weighting for all directions for building's vibration comfort measurement (ISO 2651-2)
|}

Filters have been validated from 0.5 to 10kHz at 25.6kSample/second.

====Usage in the toolkit====
The toolkit allow you to calculate the filtered raw signal with any of the above weighting filters. This will allow you to display [[NVGate FFT Analyzer|spectrums]] and calculate RMS via [[NVGate_Post_Analysis|post-analysis]] in NVGate.

To calculate the raw weighted signal, simply select the filters you want in the "Time signal filters" section :

[[Image:Filter2.png]]

Once the processing is completed, a new measurement containing the filtered signal for each selected filter is created in [[NVGate Project manager|NVGate Project Manager]] :

[[Image:Filtered_Sig.png|400px]]
 
You can then load the new signals in the player as any NVGate signal. Each track of the signal is filtered with the corresponding filter. 

[[Image:Sig_In_ Player.png|800px]]

===Health and comfort indicator===
In addition to the time-weighting filters, the ISO standards present a series of specific metrics to evaluate the affect of vibrations on the Human body. The following section will present you how to use the toolkit to access these metrics.
====Indicators====

{| class="wikitable" style="margin: auto;"
|+style="caption-side:bottom;"|''Body vibration indicators''
|-
|style="height:30px; width:100px;"|<math>A_w</math>
|RMS of the weighted acceleration magnitude.
|-
|style="height:30px; width:100px;"|<math>a_v</math>
|Total RMS value calculated as a quadratic average of the three direction for each tri-axial sensor.
|-
|style="height:30px; width:100px;"|<math>A_h</math>
|RMS of the <math>W_h</math> weighted acceleration magnitude.
|-
|style="height:30px; width:100px;"|<math>Peak</math>
|Amplitude Peak of the vibration; maximal amplitude of the signal from the 0 (Calculated from Post processing in NVGate)
|-
|style="height:30px; width:100px;"|<math>Crest factor</math>
|Ratio between the Peak level and the RMS of the weighted signal(Calculated from Post processing in NVGate)
|-
|style="height:30px; width:100px;"|<math>MTVV</math>
|Maximum Transient Vibration Value, represent the maximal RMS value of the signal
|-
|style="height:30px; width:100px;"|<math>VDV</math>
|Vibration Dose Value, taking into account the temporal shocks in the signal
|-
|style="height:30px; width:100px;"|<math>MSDV</math>
|Motion Sickness Dose Value, representing the comfort in transportation measurement
|-
|style="height:30px; width:100px;"|<math>D_k</math>
|The Acceleration Dose, representing the affect of the vibration on the spine
|-
|style="height:30px; width:100px;"|<math>Se</math>
|The equivalent Static compression stress on the spine, caused by repeated shocks
|}

======Aw======

The <math>A_w</math> is the RMS of the weighted acceleration signal. The weighting is applied in accordance with the direction set for each channel and the weighting filter defined for the direction. 

For each channel, the <math>A_w</math> and <math>A_w(T)</math> will be calculated. The <math>A_w(T)</math> is the Daily exposure value, defined as : 
<math display="block" forcemathmode="5">A_w(T) = A_w*k_{i}*\sqrt{\frac{T}{T_m}}</math>
 
With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter. the <math>k_i</math> factor is defined in the ISO 2631 as <math>k_X = k_Y = 1.4</math> and <math>k_Z = 1</math>.

When comparing result from one measurement point in the three direction, the maximum of the Daily exposure value must be used as the total daily exposure value at that point : 
<math display="block" forcemathmode="5">A_w(T) = max(A_{wX}(T), A_{wY}(T), A_{wZ}(T)) </math>
 
======av======
The <math>a_v</math> is the total RMS vibration value of the weighted acceleration signal. This value will only be calculated if a sensor have been defined in the definition of direction window.

For each tri-axial sensor, the <math>a_v</math> will be calculated as a quadratic average of the weighted RMS value in the three directions : 

<math display="block" forcemathmode="5">a_v = \sqrt{{a_{vX}}^{2}*{k_{X}}^{2} + {a_{vY}}^{2}*{k_{Y}}^{2} + {a_{vZ}}^{2}*{k_{Z}}^{2}}</math> 
With <math>k_{X,Y,Z}</math> a factor defined in the ISO 2631 as <math>k_{X}=k_{Y}=1.4</math> and <math>k_{Z}=1</math>
 
======Ah======
The <math>A_h</math> is the RMS of the <math>W_h</math> weighted acceleration signal for hand-arms vibration measurement. For each channel, the <math>A_h</math> and <math>A_h(T)</math> will be calculated. The <math>A_h(T)</math> is the Daily exposure value, defined as : 

<math display="block" forcemathmode="5">A_h(T) = A_h*\sqrt{\frac{T}{T_m}}</math> 

With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter. 

If any sensor is defined, the total <math>A_h</math> and <math>A_h(T)</math> will be calculated for each sensor as a quadratic average of the three direction of the sensor : 
<math display="block" forcemathmode="5">A_{h Total} = \sqrt{{a_{hX}}^{2}*{k_{X}}^{2} + {a_{hY}}^{2}*{k_{Y}}^{2} + {a_{hZ}}^{2}*{k_{Z}}^{2}}</math>
 
and : 
 
<math display="block" forcemathmode="5">A_{h Total}(T) = \sqrt{{a_{hX}}^{2}*{k_{X}}^{2} + {a_{hY}}^{2}*{k_{Y}}^{2} + {a_{hZ}}^{2}*{k_{Z}}^{2}}*\sqrt{\frac{T}{T_m}}</math>
 
With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter, and <math>k_{X}=k_{Y}=k_{Z}=1</math>
 

======Peak======

This indicator is the [[NVGate_Time_Domain_Analysis#Available_results|peak amplitude]] of the vibration signal. It represent the maximal amplitude of the weighted signal. This indicator can be obtained in NVGate by [[NVGate Post Analysis|post-analysing]] the weighted signal with the [[NVGate Time Domain Analysis|TDA plugin of NVGate]].

======Crest Factor======

This indicator is the [[NVGate_Time_Domain_Analysis#Available_results|Crest Factor]] of the vibration signal. It represent the importances of the transient event in the signal as the ratio of the maximal Peak amplitude over the RMS level for the weighted signal. This indicator can be obtained in NVGate by [[NVGate Post Analysis|post-analysing]] the weighted signal with the [[NVGate Time Domain Analysis|TDA plugin of NVGate]].

======MTVV======
The MTVV is the Maximal Transient Vibration Value, is the maximum of the running RMS of the weighted acceleration. This value is calculated for each channel and is expressed in m/s².

The MTVV Tau is the integration time, expressed in seconds. This value can be edited before the calculation, but the ISO 2631 recommand to use 1 second. Therefore this is the default value of this parameter.

======VDV======
The VDV is the forth power Vibration Dose Value. It is calculated as a cumulative sum of the weighted acceleration at the forth power. The forth power is used to give more weight to the transient event of the signal over the periodic event. Therefore, this indicator must be used to asses the effect of shock on human health and comfort. The VDV is calculated for each channel and expressed in m/s^(1.75). 

If the "VDVTexp" box is checked, an evaluation of the VDV value over a longer time period will be calculated of each channel as : 
<math display="block" forcemathmode="5">VDV_{X,Y,Z}(T) = VDV_{X,Y,Z}*k_{X,Y,Z}*\sqrt[4]{\frac{T}{T_m}}</math> 

With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter, and <math>k_{X}=k_{Y}=1.4</math>, and <math>k_{Z}=1</math>
======MSDV======
This metric is the Motion Sickness Dose Value, used to evaluate the ride comfort in in-vehicle measurement. It is expressed in m.s^(1.5). 

Although this value will be calculated for each direction, only the Z-direction will have a prominent relevance to assess ride comfort.
======Dk======
<math>D_k</math> is the acceleration dose. It is use to evaluate the effect of vibrations on the human spine, and calculated as the 6th root of the sum of the peaks in the acceleration signal raised at the 6th power. it is expressed in m/s². Peaks are defined as the absolute maximum of the acceleration signal between two zeros crossing. In the Z direction, only the positive peak will be considered, were all positive and negative peaks are used for the X and Y directions. 

Specific filters are used to weight the acceleration signal before calculating the <math>D_k</math>. These filter are different for the vertical and horizontal direction, and are defined for a sampling rate of 160 Sample/second. Therefore, we advise to [[NVGate Recorder|record]] the signal with a low [[NVGate_Front_End#Input_settings|sampling rate]] in NVGate. 

Assessing the affect of the vibration on human spine most is important when dealing with transportation vehicular, especially from driver seat. for a better evaluation, the ISO 2631-5 advise to calculate the daily acceleration dose, defined as : 

<math display="block" forcemathmode="5">D_{X,Y,Z}(T) = D_{X,Y,Z}*\sqrt[6]{\frac{T}{T_m}}</math> 

This value will be calculated if the box "Dk Texp" is checked.

======Se======
The Se is the compressive stress on the human spine, expressed in MPa. It is calculated by the combination the Dk in the three direction. Therefore, it will only be calculated if sensors are defined in the "Select Direction" window. One value of Se will be calculated for each sensor by the formula : 
<math display="block" forcemathmode="5">Se = \sqrt[6]{\sum_{k=X,Y,Z}(D_{k}*m_{k})^6}</math> 

Where <math>m_{X} = 0,015</math> MPa/(m/s²), <math>m_{Y} = 0,035</math> MPa/(m/s²) and <math>m_{Z} = 0,032</math> MPa/(m/s²). 

To evaluate the lumbar stress over a daily exposition time, the Se(T) will also be calculated as : 
<math display="block" forcemathmode="5">Se(T) = \sqrt[6]{\sum_{k=X,Y,Z}(D_{k}(T)*m_{k})^6}</math> 

T being the total exposure duration represented by the "Reference time" parameter. 

====In the toolkit====
Before calculating the indicators in the toolkit, you must define a filter for each directions. Filters will be selected in accordance with the wanted result (Hand-arms; Whole-Body, ..) and the direction of the measurement as specified in the table [[Human_Vibration#Time-weighting_filters|describing the filters]]. Filters will be applied to the signal before calculating the indicators, but the time-filtered signal will not be saved. 
[[Image:proc_filt.png]]
 
You will then need to enter the reference time you want to use to estimate the parameters on a greater duration. This duration must be entered in second. The default value is 288500 second, corresponding to a 8 hours measurement: 
[[Image:Ref_Time.png]]

You will finally need to enter the MTVV Tau value. The MTVV Tau is the integration time in seconds used for the calculation of the MTVV. The ISO 2651 recommand to use 1sec. This is the default value of the setting. 

Once the filters selected and the parameters competed, you can select the metrics you want to calculate by checking the different boxes. 
[[Image:all_proc.png]] 
You can then start the processing to calculate the indicators. 

Here, we are calculating all the indicator for the "Seat_Pad_Measurement" signal. This signal contain 3 Tracks, one for each channel X, Y and Z of a three axis accelerometer. As we want to calculate the multi-axis metrics, we also define a sensor on the three tracks, called "Seat_Pas_3axis". 
[[Image:Set_up_seatPad.png|500px]]
 
Once completed, the result can be find the currently opened project in the [[NVGate Project manager]]. A new measurement called "NAME_OF_THE_Signal_out" containing the result is created. 

[[Image:ResInProjMAn2.png|300px]] 

Each indicator is calculated for each direction and for each track of the signal. The name of the result contain the name of the track, the considered direction and the filter used for that direction (except for the <math>D_k</math> which use specific filters). 
The following picture show the indicators for the first track (SeatPadX) of the signal : 
[[Image:Resut_SeatPad.png|300px]]
 

For the metrics estimated on the "Reference Time", the name the indicator is followed by "(Ref_Time_in_Second"). Here an example with the VDV metric, the name of the indicator is displayed in the window title : 
[[Image:VDV_andTexp.png|800px]]
 

The metrics combining the three directions (av, Se, Ah,...) are named as following : "METRICS_Name : Sensor". By example here for the Se :

[[Image:Se.png|400px]]
 
You can then display the result in NVGate by double clicking.
 
====Unit in NVGate====
To display the right unit for the MSDV;, VDV and Se indicators, you need to modify the [[NVGate_User_Preferences#Physical_quantity|Spare units of NVGate]] as :
* Spare1 : <math>m/{s}^{1.75}</math> for the VDV
* Spare2 : <math>m/{s}^{1.5}</math> for the MSDV
* Spare3 : <math>Pa</math> for the Se (you can adapt the display as MPa).
 
No formulae need to be entered as the calculations are already made in the toolkit. You will only need to enter the unit and your display preferences.
 
==Practical information about measurements==

This section will provide you with some practical informations about Human Vibration evaluations.

Human vibrations are transmitted to the human body over a reasonable amount of time. This transmission mainly happened in vehicle during transportation, in buildings, and when using vibrating equipments and tools, such as electric drills, blowers... are manipulated. Since the last century, quantities of studies showed that vibrations can have many affect on the human body, from discomfort and transport sickness to serious health issues, including blood flow disorder to muscular and rheumatisms. 
Therefore, methods of measurement and evaluation of these vibrations have been developed over the year, and translated into several standards for mechanical appliances to prevent discomfort and harm. 

===Type of measurement===
====Whole-Body Measurement====
Measurement procedures for whole-body vibration evaluation are describe in the ISO2631. That type of vibration will mainly occur in transportations and in the workplace when working with big machinery. Therefore, the evaluation of the vibration will be carried on the part supporting the human body, like backside and feet for a seated person and feet for a standing person. Sensors must be placed to assess vibration to these specific points. Measurement must be carried on the complete system. Meaning the user must be present during the measurement and operate the machine/vehicle as usual. The following picture, exctracted from the standard, give indication over the orientation of the sensors : 

[[Image:Axis_WholeBody.png]]

For each point, the vibration must be measured in the three direction X, Y and Z. AS different weighting will be used for each direction, it is really important that each sensors are oriented according to the same directions. The Z direction must always used in the direction of the human spine. 

Specific sensors must be used in order to detect vibration at the transmission point. For a seated person, [[https://www.dytran.com/Search/?searchText=seat+pad|Seat Pad accelerometer]] allow to acquire vibrations at the buttock of the seated person. If necessary, same kind of sensors can by used under the feet of a standing person. These sensor must be fixed to hold in place when the subject move. For vibration transmitted to feet, standard accelerometers can also be placed on the floor. 

There is no precise rules about the lenght of the measurement. However, the ISO 2631 specify that measurement must be taken for at least 20 minutes,

Durée de mesure
Type de mesure
Placement des capteurs
Exemple de capteur : [[https://www.dytran.com/Search/?searchText=seat+pad|Seat Pad accelerometer]]
Capteur avec adaptateurs hand arms

Human Vibration

2020-12-07T18:40:48Z

NIcolasAegerter: /* Practical information about measurements */

The OROS Body Vibration tool allow you to evaluate the affect of vibration on the human body according to standards ISO 2651 and ISO 5349. These standard define measurement practice and vibration signal analysis to evaluate the affect on health and and comfort of environmental and equipment vibrations on the Human body. 

The ISO 2651 describe the affect on health and comfort of vibration on the whole-body in transportation system, and the ISO 5349 the affect on health of vibration on hands and arms when manipulating machine-tools or vibrating objects. In the following, we will see how to use OROS to evaluate these effect. 
 
This is a post analysis toolkit, operating alongside NVGate after the recording of the signal and will help you to calculate time-weighted signal of acceleration and specific indicators both defined in the standards. 
[[Image:OROS_BodyVib2.png|800px|none]]
 
==Download & install==
Download the program here (version from 03/12/2020) :
https://orossas.sharepoint.com/:u:/g/support/EXCVJE_bLGZMgHg1mr4p1hwB5ICqdqKBXTK3kH9stxozKg?e=UJg72W

Once downloaded, you can unzip the folder and lunch the installer program Setup_OROS_BodyVibration_Tool_vXX.exe. Follow the step of the program to properly install the software. 

The program will be installed in "C:\OROS\Programs\ExternalTools". Shortcuts are created on the main desktop, in the Windows Start program and in the "Link" repertory of NVGate. By that way you can directly run the program from NVGate.

==How to use==

<ol>
<li>Launch NVGate </li>
<li>Launch OROS_BodyVibration_Tool.exe </li>
<li>Open a project in NVGate </li>

[[File:Open_Proj.png]]
 
<li>In the tool, Click on list measurement to list all the measurement present in the project (only the measurement where the signal files are actually on the disk will be displayed. Ensure you have [[NVGate_Project_manager#Uploading.2FDownloading|downloaded signal from the OR3X disk]]) </li>
[[Image:List_Meas.png|400px|none]]
<li>Add the measurement you want to analyse in the "selected list" area using the ">>" button. Use the "<<" button to remove file if needed. </li>
[[Image:Add_Rmv.png|400px|none]]
<li>Click on "Select Directions" to set the direction and sensor for each channel (This step is not necessary if you only want the time-weighted signals). </li>
[[Image:Select_DOF.png|400px|none]]
<li>Select the weighting you want to apply on the time signal </li>
[[Image:Select_Filter.png|400px|none]]
<li>Select the weighting you want to apply for each direction X, Y and Z used for the indicators </li>
[[Image:Select_Process_Filt.png|400px|none]]
<li>Select the metrics you want to calculate </li>
[[Image:Select_Metric.png|400px|none]]
<li>Click on "Start Processing" </li>
[[Image:Strat_Proc.png|400px|none]]
<li>The processing is completed when a the following pop-up window appear. The results and weighted signal have added to the current NVGate project. See the next sections for details. </li>
[[Image:The_End.png|400px|none]]
</ol>

==Toolkit results==
===Time-weighted signal===
Studies of the affect of vibrations on the human body suggest that part of the body don't have the same response to vibrations, and will be sensitive to specific frequencies and transient component of vibration signal. In order to represent the sensitivity of the human boy, ISO standards defined time-weighting that must applied to the signal according to the environmental conditions. The following part present you how to apply time-weighting filters to your signal using the toolkit.
====Time-weighting filters====
As defined in the standards, specific time weighting must be applied to the acceleration signal in order to represent the effect of vibrations on health and comfort. Here is the list of the different time-weighting filters implemented in the toolkit : 
{| class="wikitable" style="margin: auto;"
|+style="caption-side:bottom;"|''Time-weighting filters''
|-
|style="height:30px; width:100px;"|<math>W_k</math>
|Time weighting for the Z axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_d</math>
|Time weighting for the X and Y axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_h</math>
|Time weighting for the hand-arms measurement in any direction (ISO 5349-1)
|-
|style="height:30px; width:100px;"|<math>W_f</math>
|Time weighting for motion sickness measurement in the vertical direction (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_c</math>
|Time weighting for the X axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_e</math>
|Time weighting for all rotational directions for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_j</math>
|Time weighting for the Z axis for head comfort measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_m</math>
|Time weighting for all directions for building's vibration comfort measurement (ISO 2651-2)
|}

Filters have been validated from 0.5 to 10kHz at 25.6kSample/second.

====Usage in the toolkit====
The toolkit allow you to calculate the filtered raw signal with any of the above weighting filters. This will allow you to display [[NVGate FFT Analyzer|spectrums]] and calculate RMS via [[NVGate_Post_Analysis|post-analysis]] in NVGate.

To calculate the raw weighted signal, simply select the filters you want in the "Time signal filters" section :

[[Image:Filter2.png]]

Once the processing is completed, a new measurement containing the filtered signal for each selected filter is created in [[NVGate Project manager|NVGate Project Manager]] :

[[Image:Filtered_Sig.png|400px]]
 
You can then load the new signals in the player as any NVGate signal. Each track of the signal is filtered with the corresponding filter. 

[[Image:Sig_In_ Player.png|800px]]

===Health and comfort indicator===
In addition to the time-weighting filters, the ISO standards present a series of specific metrics to evaluate the affect of vibrations on the Human body. The following section will present you how to use the toolkit to access these metrics.
====Indicators====

{| class="wikitable" style="margin: auto;"
|+style="caption-side:bottom;"|''Body vibration indicators''
|-
|style="height:30px; width:100px;"|<math>A_w</math>
|RMS of the weighted acceleration magnitude.
|-
|style="height:30px; width:100px;"|<math>a_v</math>
|Total RMS value calculated as a quadratic average of the three direction for each tri-axial sensor.
|-
|style="height:30px; width:100px;"|<math>A_h</math>
|RMS of the <math>W_h</math> weighted acceleration magnitude.
|-
|style="height:30px; width:100px;"|<math>Peak</math>
|Amplitude Peak of the vibration; maximal amplitude of the signal from the 0 (Calculated from Post processing in NVGate)
|-
|style="height:30px; width:100px;"|<math>Crest factor</math>
|Ratio between the Peak level and the RMS of the weighted signal(Calculated from Post processing in NVGate)
|-
|style="height:30px; width:100px;"|<math>MTVV</math>
|Maximum Transient Vibration Value, represent the maximal RMS value of the signal
|-
|style="height:30px; width:100px;"|<math>VDV</math>
|Vibration Dose Value, taking into account the temporal shocks in the signal
|-
|style="height:30px; width:100px;"|<math>MSDV</math>
|Motion Sickness Dose Value, representing the comfort in transportation measurement
|-
|style="height:30px; width:100px;"|<math>D_k</math>
|The Acceleration Dose, representing the affect of the vibration on the spine
|-
|style="height:30px; width:100px;"|<math>Se</math>
|The equivalent Static compression stress on the spine, caused by repeated shocks
|}

======Aw======

The <math>A_w</math> is the RMS of the weighted acceleration signal. The weighting is applied in accordance with the direction set for each channel and the weighting filter defined for the direction. 

For each channel, the <math>A_w</math> and <math>A_w(T)</math> will be calculated. The <math>A_w(T)</math> is the Daily exposure value, defined as : 
<math display="block" forcemathmode="5">A_w(T) = A_w*k_{i}*\sqrt{\frac{T}{T_m}}</math>
 
With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter. the <math>k_i</math> factor is defined in the ISO 2631 as <math>k_X = k_Y = 1.4</math> and <math>k_Z = 1</math>.

When comparing result from one measurement point in the three direction, the maximum of the Daily exposure value must be used as the total daily exposure value at that point : 
<math display="block" forcemathmode="5">A_w(T) = max(A_{wX}(T), A_{wY}(T), A_{wZ}(T)) </math>
 
======av======
The <math>a_v</math> is the total RMS vibration value of the weighted acceleration signal. This value will only be calculated if a sensor have been defined in the definition of direction window.

For each tri-axial sensor, the <math>a_v</math> will be calculated as a quadratic average of the weighted RMS value in the three directions : 

<math display="block" forcemathmode="5">a_v = \sqrt{{a_{vX}}^{2}*{k_{X}}^{2} + {a_{vY}}^{2}*{k_{Y}}^{2} + {a_{vZ}}^{2}*{k_{Z}}^{2}}</math> 
With <math>k_{X,Y,Z}</math> a factor defined in the ISO 2631 as <math>k_{X}=k_{Y}=1.4</math> and <math>k_{Z}=1</math>
 
======Ah======
The <math>A_h</math> is the RMS of the <math>W_h</math> weighted acceleration signal for hand-arms vibration measurement. For each channel, the <math>A_h</math> and <math>A_h(T)</math> will be calculated. The <math>A_h(T)</math> is the Daily exposure value, defined as : 

<math display="block" forcemathmode="5">A_h(T) = A_h*\sqrt{\frac{T}{T_m}}</math> 

With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter. 

If any sensor is defined, the total <math>A_h</math> and <math>A_h(T)</math> will be calculated for each sensor as a quadratic average of the three direction of the sensor : 
<math display="block" forcemathmode="5">A_{h Total} = \sqrt{{a_{hX}}^{2}*{k_{X}}^{2} + {a_{hY}}^{2}*{k_{Y}}^{2} + {a_{hZ}}^{2}*{k_{Z}}^{2}}</math>
 
and : 
 
<math display="block" forcemathmode="5">A_{h Total}(T) = \sqrt{{a_{hX}}^{2}*{k_{X}}^{2} + {a_{hY}}^{2}*{k_{Y}}^{2} + {a_{hZ}}^{2}*{k_{Z}}^{2}}*\sqrt{\frac{T}{T_m}}</math>
 
With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter, and <math>k_{X}=k_{Y}=k_{Z}=1</math>
 

======Peak======

This indicator is the [[NVGate_Time_Domain_Analysis#Available_results|peak amplitude]] of the vibration signal. It represent the maximal amplitude of the weighted signal. This indicator can be obtained in NVGate by [[NVGate Post Analysis|post-analysing]] the weighted signal with the [[NVGate Time Domain Analysis|TDA plugin of NVGate]].

======Crest Factor======

This indicator is the [[NVGate_Time_Domain_Analysis#Available_results|Crest Factor]] of the vibration signal. It represent the importances of the transient event in the signal as the ratio of the maximal Peak amplitude over the RMS level for the weighted signal. This indicator can be obtained in NVGate by [[NVGate Post Analysis|post-analysing]] the weighted signal with the [[NVGate Time Domain Analysis|TDA plugin of NVGate]].

======MTVV======
The MTVV is the Maximal Transient Vibration Value, is the maximum of the running RMS of the weighted acceleration. This value is calculated for each channel and is expressed in m/s².

The MTVV Tau is the integration time, expressed in seconds. This value can be edited before the calculation, but the ISO 2631 recommand to use 1 second. Therefore this is the default value of this parameter.

======VDV======
The VDV is the forth power Vibration Dose Value. It is calculated as a cumulative sum of the weighted acceleration at the forth power. The forth power is used to give more weight to the transient event of the signal over the periodic event. Therefore, this indicator must be used to asses the effect of shock on human health and comfort. The VDV is calculated for each channel and expressed in m/s^(1.75). 

If the "VDVTexp" box is checked, an evaluation of the VDV value over a longer time period will be calculated of each channel as : 
<math display="block" forcemathmode="5">VDV_{X,Y,Z}(T) = VDV_{X,Y,Z}*k_{X,Y,Z}*\sqrt[4]{\frac{T}{T_m}}</math> 

With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter, and <math>k_{X}=k_{Y}=1.4</math>, and <math>k_{Z}=1</math>
======MSDV======
This metric is the Motion Sickness Dose Value, used to evaluate the ride comfort in in-vehicle measurement. It is expressed in m.s^(1.5). 

Although this value will be calculated for each direction, only the Z-direction will have a prominent relevance to assess ride comfort.
======Dk======
<math>D_k</math> is the acceleration dose. It is use to evaluate the effect of vibrations on the human spine, and calculated as the 6th root of the sum of the peaks in the acceleration signal raised at the 6th power. it is expressed in m/s². Peaks are defined as the absolute maximum of the acceleration signal between two zeros crossing. In the Z direction, only the positive peak will be considered, were all positive and negative peaks are used for the X and Y directions. 

Specific filters are used to weight the acceleration signal before calculating the <math>D_k</math>. These filter are different for the vertical and horizontal direction, and are defined for a sampling rate of 160 Sample/second. Therefore, we advise to [[NVGate Recorder|record]] the signal with a low [[NVGate_Front_End#Input_settings|sampling rate]] in NVGate. 

Assessing the affect of the vibration on human spine most is important when dealing with transportation vehicular, especially from driver seat. for a better evaluation, the ISO 2631-5 advise to calculate the daily acceleration dose, defined as : 

<math display="block" forcemathmode="5">D_{X,Y,Z}(T) = D_{X,Y,Z}*\sqrt[6]{\frac{T}{T_m}}</math> 

This value will be calculated if the box "Dk Texp" is checked.

======Se======
The Se is the compressive stress on the human spine, expressed in MPa. It is calculated by the combination the Dk in the three direction. Therefore, it will only be calculated if sensors are defined in the "Select Direction" window. One value of Se will be calculated for each sensor by the formula : 
<math display="block" forcemathmode="5">Se = \sqrt[6]{\sum_{k=X,Y,Z}(D_{k}*m_{k})^6}</math> 

Where <math>m_{X} = 0,015</math> MPa/(m/s²), <math>m_{Y} = 0,035</math> MPa/(m/s²) and <math>m_{Z} = 0,032</math> MPa/(m/s²). 

To evaluate the lumbar stress over a daily exposition time, the Se(T) will also be calculated as : 
<math display="block" forcemathmode="5">Se(T) = \sqrt[6]{\sum_{k=X,Y,Z}(D_{k}(T)*m_{k})^6}</math> 

T being the total exposure duration represented by the "Reference time" parameter. 

====In the toolkit====
Before calculating the indicators in the toolkit, you must define a filter for each directions. Filters will be selected in accordance with the wanted result (Hand-arms; Whole-Body, ..) and the direction of the measurement as specified in the table [[Human_Vibration#Time-weighting_filters|describing the filters]]. Filters will be applied to the signal before calculating the indicators, but the time-filtered signal will not be saved. 
[[Image:proc_filt.png]]
 
You will then need to enter the reference time you want to use to estimate the parameters on a greater duration. This duration must be entered in second. The default value is 288500 second, corresponding to a 8 hours measurement: 
[[Image:Ref_Time.png]]

You will finally need to enter the MTVV Tau value. The MTVV Tau is the integration time in seconds used for the calculation of the MTVV. The ISO 2651 recommand to use 1sec. This is the default value of the setting. 

Once the filters selected and the parameters competed, you can select the metrics you want to calculate by checking the different boxes. 
[[Image:all_proc.png]] 
You can then start the processing to calculate the indicators. 

Here, we are calculating all the indicator for the "Seat_Pad_Measurement" signal. This signal contain 3 Tracks, one for each channel X, Y and Z of a three axis accelerometer. As we want to calculate the multi-axis metrics, we also define a sensor on the three tracks, called "Seat_Pas_3axis". 
[[Image:Set_up_seatPad.png|500px]]
 
Once completed, the result can be find the currently opened project in the [[NVGate Project manager]]. A new measurement called "NAME_OF_THE_Signal_out" containing the result is created. 

[[Image:ResInProjMAn2.png|300px]] 

Each indicator is calculated for each direction and for each track of the signal. The name of the result contain the name of the track, the considered direction and the filter used for that direction (except for the <math>D_k</math> which use specific filters). 
The following picture show the indicators for the first track (SeatPadX) of the signal : 
[[Image:Resut_SeatPad.png|300px]]
 

For the metrics estimated on the "Reference Time", the name the indicator is followed by "(Ref_Time_in_Second"). Here an example with the VDV metric, the name of the indicator is displayed in the window title : 
[[Image:VDV_andTexp.png|800px]]
 

The metrics combining the three directions (av, Se, Ah,...) are named as following : "METRICS_Name : Sensor". By example here for the Se :

[[Image:Se.png|400px]]
 
You can then display the result in NVGate by double clicking.
 
====Unit in NVGate====
To display the right unit for the MSDV;, VDV and Se indicators, you need to modify the [[NVGate_User_Preferences#Physical_quantity|Spare units of NVGate]] as :
* Spare1 : <math>m/{s}^{1.75}</math> for the VDV
* Spare2 : <math>m/{s}^{1.5}</math> for the MSDV
* Spare3 : <math>Pa</math> for the Se (you can adapt the display as MPa).
 
No formulae need to be entered as the calculations are already made in the toolkit. You will only need to enter the unit and your display preferences.
 
==Practical information about measurements==

This section will provide you with some practical informations about Human Vibration evaluations.

Human vibrations are vibration transmitted to the human body over a reasonable amount of time. This transmission mainly happened in vehicle during transportation, in buildings, and when using vibrating equipments and tools, such as electric drills, blowers... are manipulated. Since the last century, quantities of studies showed that vibrations can have many affect on the human body, from discomfort and transport sickness to serious health issues, including blood flow disorder to muscular and rheumatisms. 
Therefore, methods of measurement and evaluation of these vibrations have been developed over the year, and translated into several standards for mechanical appliances to prevent discomfort and harm. 

===Type of measurement===

Durée de mesure
Type de mesure
Placement des capteurs
Exemple de capteur : [[https://www.dytran.com/Search/?searchText=seat+pad|Seat Pad accelerometer]]
Capteur avec adaptateurs hand arms

Human Vibration

2020-12-07T17:47:30Z

NIcolasAegerter: /* Calculating the other indicators with NVGate */

The OROS Body Vibration tool allow you to evaluate the affect of vibration on the human body according to standards ISO 2651 and ISO 5349. These standard define measurement practice and vibration signal analysis to evaluate the affect on health and and comfort of environmental and equipment vibrations on the Human body. 

The ISO 2651 describe the affect on health and comfort of vibration on the whole-body in transportation system, and the ISO 5349 the affect on health of vibration on hands and arms when manipulating machine-tools or vibrating objects. In the following, we will see how to use OROS to evaluate these effect. 
 
This is a post analysis toolkit, operating alongside NVGate after the recording of the signal and will help you to calculate time-weighted signal of acceleration and specific indicators both defined in the standards. 
[[Image:OROS_BodyVib2.png|800px|none]]
 
==Download & install==
Download the program here (version from 03/12/2020) :
https://orossas.sharepoint.com/:u:/g/support/EXCVJE_bLGZMgHg1mr4p1hwB5ICqdqKBXTK3kH9stxozKg?e=UJg72W

Once downloaded, you can unzip the folder and lunch the installer program Setup_OROS_BodyVibration_Tool_vXX.exe. Follow the step of the program to properly install the software. 

The program will be installed in "C:\OROS\Programs\ExternalTools". Shortcuts are created on the main desktop, in the Windows Start program and in the "Link" repertory of NVGate. By that way you can directly run the program from NVGate.

==How to use==

<ol>
<li>Launch NVGate </li>
<li>Launch OROS_BodyVibration_Tool.exe </li>
<li>Open a project in NVGate </li>

[[File:Open_Proj.png]]
 
<li>In the tool, Click on list measurement to list all the measurement present in the project (only the measurement where the signal files are actually on the disk will be displayed. Ensure you have [[NVGate_Project_manager#Uploading.2FDownloading|downloaded signal from the OR3X disk]]) </li>
[[Image:List_Meas.png|400px|none]]
<li>Add the measurement you want to analyse in the "selected list" area using the ">>" button. Use the "<<" button to remove file if needed. </li>
[[Image:Add_Rmv.png|400px|none]]
<li>Click on "Select Directions" to set the direction and sensor for each channel (This step is not necessary if you only want the time-weighted signals). </li>
[[Image:Select_DOF.png|400px|none]]
<li>Select the weighting you want to apply on the time signal </li>
[[Image:Select_Filter.png|400px|none]]
<li>Select the weighting you want to apply for each direction X, Y and Z used for the indicators </li>
[[Image:Select_Process_Filt.png|400px|none]]
<li>Select the metrics you want to calculate </li>
[[Image:Select_Metric.png|400px|none]]
<li>Click on "Start Processing" </li>
[[Image:Strat_Proc.png|400px|none]]
<li>The processing is completed when a the following pop-up window appear. The results and weighted signal have added to the current NVGate project. See the next sections for details. </li>
[[Image:The_End.png|400px|none]]
</ol>

==Toolkit results==
===Time-weighted signal===
Studies of the affect of vibrations on the human body suggest that part of the body don't have the same response to vibrations, and will be sensitive to specific frequencies and transient component of vibration signal. In order to represent the sensitivity of the human boy, ISO standards defined time-weighting that must applied to the signal according to the environmental conditions. The following part present you how to apply time-weighting filters to your signal using the toolkit.
====Time-weighting filters====
As defined in the standards, specific time weighting must be applied to the acceleration signal in order to represent the effect of vibrations on health and comfort. Here is the list of the different time-weighting filters implemented in the toolkit : 
{| class="wikitable" style="margin: auto;"
|+style="caption-side:bottom;"|''Time-weighting filters''
|-
|style="height:30px; width:100px;"|<math>W_k</math>
|Time weighting for the Z axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_d</math>
|Time weighting for the X and Y axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_h</math>
|Time weighting for the hand-arms measurement in any direction (ISO 5349-1)
|-
|style="height:30px; width:100px;"|<math>W_f</math>
|Time weighting for motion sickness measurement in the vertical direction (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_c</math>
|Time weighting for the X axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_e</math>
|Time weighting for all rotational directions for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_j</math>
|Time weighting for the Z axis for head comfort measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_m</math>
|Time weighting for all directions for building's vibration comfort measurement (ISO 2651-2)
|}

Filters have been validated from 0.5 to 10kHz at 25.6kSample/second.

====Usage in the toolkit====
The toolkit allow you to calculate the filtered raw signal with any of the above weighting filters. This will allow you to display [[NVGate FFT Analyzer|spectrums]] and calculate RMS via [[NVGate_Post_Analysis|post-analysis]] in NVGate.

To calculate the raw weighted signal, simply select the filters you want in the "Time signal filters" section :

[[Image:Filter2.png]]

Once the processing is completed, a new measurement containing the filtered signal for each selected filter is created in [[NVGate Project manager|NVGate Project Manager]] :

[[Image:Filtered_Sig.png|400px]]
 
You can then load the new signals in the player as any NVGate signal. Each track of the signal is filtered with the corresponding filter. 

[[Image:Sig_In_ Player.png|800px]]

===Health and comfort indicator===
In addition to the time-weighting filters, the ISO standards present a series of specific metrics to evaluate the affect of vibrations on the Human body. The following section will present you how to use the toolkit to access these metrics.
====Indicators====

{| class="wikitable" style="margin: auto;"
|+style="caption-side:bottom;"|''Body vibration indicators''
|-
|style="height:30px; width:100px;"|<math>A_w</math>
|RMS of the weighted acceleration magnitude.
|-
|style="height:30px; width:100px;"|<math>a_v</math>
|Total RMS value calculated as a quadratic average of the three direction for each tri-axial sensor.
|-
|style="height:30px; width:100px;"|<math>A_h</math>
|RMS of the <math>W_h</math> weighted acceleration magnitude.
|-
|style="height:30px; width:100px;"|<math>Peak</math>
|Amplitude Peak of the vibration; maximal amplitude of the signal from the 0 (Calculated from Post processing in NVGate)
|-
|style="height:30px; width:100px;"|<math>Crest factor</math>
|Ratio between the Peak level and the RMS of the weighted signal(Calculated from Post processing in NVGate)
|-
|style="height:30px; width:100px;"|<math>MTVV</math>
|Maximum Transient Vibration Value, represent the maximal RMS value of the signal
|-
|style="height:30px; width:100px;"|<math>VDV</math>
|Vibration Dose Value, taking into account the temporal shocks in the signal
|-
|style="height:30px; width:100px;"|<math>MSDV</math>
|Motion Sickness Dose Value, representing the comfort in transportation measurement
|-
|style="height:30px; width:100px;"|<math>D_k</math>
|The Acceleration Dose, representing the affect of the vibration on the spine
|-
|style="height:30px; width:100px;"|<math>Se</math>
|The equivalent Static compression stress on the spine, caused by repeated shocks
|}

======Aw======

The <math>A_w</math> is the RMS of the weighted acceleration signal. The weighting is applied in accordance with the direction set for each channel and the weighting filter defined for the direction. 

For each channel, the <math>A_w</math> and <math>A_w(T)</math> will be calculated. The <math>A_w(T)</math> is the Daily exposure value, defined as : 
<math display="block" forcemathmode="5">A_w(T) = A_w*k_{i}*\sqrt{\frac{T}{T_m}}</math>
 
With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter. the <math>k_i</math> factor is defined in the ISO 2631 as <math>k_X = k_Y = 1.4</math> and <math>k_Z = 1</math>.

When comparing result from one measurement point in the three direction, the maximum of the Daily exposure value must be used as the total daily exposure value at that point : 
<math display="block" forcemathmode="5">A_w(T) = max(A_{wX}(T), A_{wY}(T), A_{wZ}(T)) </math>
 
======av======
The <math>a_v</math> is the total RMS vibration value of the weighted acceleration signal. This value will only be calculated if a sensor have been defined in the definition of direction window.

For each tri-axial sensor, the <math>a_v</math> will be calculated as a quadratic average of the weighted RMS value in the three directions : 

<math display="block" forcemathmode="5">a_v = \sqrt{{a_{vX}}^{2}*{k_{X}}^{2} + {a_{vY}}^{2}*{k_{Y}}^{2} + {a_{vZ}}^{2}*{k_{Z}}^{2}}</math> 
With <math>k_{X,Y,Z}</math> a factor defined in the ISO 2631 as <math>k_{X}=k_{Y}=1.4</math> and <math>k_{Z}=1</math>
 
======Ah======
The <math>A_h</math> is the RMS of the <math>W_h</math> weighted acceleration signal for hand-arms vibration measurement. For each channel, the <math>A_h</math> and <math>A_h(T)</math> will be calculated. The <math>A_h(T)</math> is the Daily exposure value, defined as : 

<math display="block" forcemathmode="5">A_h(T) = A_h*\sqrt{\frac{T}{T_m}}</math> 

With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter. 

If any sensor is defined, the total <math>A_h</math> and <math>A_h(T)</math> will be calculated for each sensor as a quadratic average of the three direction of the sensor : 
<math display="block" forcemathmode="5">A_{h Total} = \sqrt{{a_{hX}}^{2}*{k_{X}}^{2} + {a_{hY}}^{2}*{k_{Y}}^{2} + {a_{hZ}}^{2}*{k_{Z}}^{2}}</math>
 
and : 
 
<math display="block" forcemathmode="5">A_{h Total}(T) = \sqrt{{a_{hX}}^{2}*{k_{X}}^{2} + {a_{hY}}^{2}*{k_{Y}}^{2} + {a_{hZ}}^{2}*{k_{Z}}^{2}}*\sqrt{\frac{T}{T_m}}</math>
 
With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter, and <math>k_{X}=k_{Y}=k_{Z}=1</math>
 

======Peak======

This indicator is the [[NVGate_Time_Domain_Analysis#Available_results|peak amplitude]] of the vibration signal. It represent the maximal amplitude of the weighted signal. This indicator can be obtained in NVGate by [[NVGate Post Analysis|post-analysing]] the weighted signal with the [[NVGate Time Domain Analysis|TDA plugin of NVGate]].

======Crest Factor======

This indicator is the [[NVGate_Time_Domain_Analysis#Available_results|Crest Factor]] of the vibration signal. It represent the importances of the transient event in the signal as the ratio of the maximal Peak amplitude over the RMS level for the weighted signal. This indicator can be obtained in NVGate by [[NVGate Post Analysis|post-analysing]] the weighted signal with the [[NVGate Time Domain Analysis|TDA plugin of NVGate]].

======MTVV======
The MTVV is the Maximal Transient Vibration Value, is the maximum of the running RMS of the weighted acceleration. This value is calculated for each channel and is expressed in m/s².

The MTVV Tau is the integration time, expressed in seconds. This value can be edited before the calculation, but the ISO 2631 recommand to use 1 second. Therefore this is the default value of this parameter.

======VDV======
The VDV is the forth power Vibration Dose Value. It is calculated as a cumulative sum of the weighted acceleration at the forth power. The forth power is used to give more weight to the transient event of the signal over the periodic event. Therefore, this indicator must be used to asses the effect of shock on human health and comfort. The VDV is calculated for each channel and expressed in m/s^(1.75). 

If the "VDVTexp" box is checked, an evaluation of the VDV value over a longer time period will be calculated of each channel as : 
<math display="block" forcemathmode="5">VDV_{X,Y,Z}(T) = VDV_{X,Y,Z}*k_{X,Y,Z}*\sqrt[4]{\frac{T}{T_m}}</math> 

With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter, and <math>k_{X}=k_{Y}=1.4</math>, and <math>k_{Z}=1</math>
======MSDV======
This metric is the Motion Sickness Dose Value, used to evaluate the ride comfort in in-vehicle measurement. It is expressed in m.s^(1.5). 

Although this value will be calculated for each direction, only the Z-direction will have a prominent relevance to assess ride comfort.
======Dk======
<math>D_k</math> is the acceleration dose. It is use to evaluate the effect of vibrations on the human spine, and calculated as the 6th root of the sum of the peaks in the acceleration signal raised at the 6th power. it is expressed in m/s². Peaks are defined as the absolute maximum of the acceleration signal between two zeros crossing. In the Z direction, only the positive peak will be considered, were all positive and negative peaks are used for the X and Y directions. 

Specific filters are used to weight the acceleration signal before calculating the <math>D_k</math>. These filter are different for the vertical and horizontal direction, and are defined for a sampling rate of 160 Sample/second. Therefore, we advise to [[NVGate Recorder|record]] the signal with a low [[NVGate_Front_End#Input_settings|sampling rate]] in NVGate. 

Assessing the affect of the vibration on human spine most is important when dealing with transportation vehicular, especially from driver seat. for a better evaluation, the ISO 2631-5 advise to calculate the daily acceleration dose, defined as : 

<math display="block" forcemathmode="5">D_{X,Y,Z}(T) = D_{X,Y,Z}*\sqrt[6]{\frac{T}{T_m}}</math> 

This value will be calculated if the box "Dk Texp" is checked.

======Se======
The Se is the compressive stress on the human spine, expressed in MPa. It is calculated by the combination the Dk in the three direction. Therefore, it will only be calculated if sensors are defined in the "Select Direction" window. One value of Se will be calculated for each sensor by the formula : 
<math display="block" forcemathmode="5">Se = \sqrt[6]{\sum_{k=X,Y,Z}(D_{k}*m_{k})^6}</math> 

Where <math>m_{X} = 0,015</math> MPa/(m/s²), <math>m_{Y} = 0,035</math> MPa/(m/s²) and <math>m_{Z} = 0,032</math> MPa/(m/s²). 

To evaluate the lumbar stress over a daily exposition time, the Se(T) will also be calculated as : 
<math display="block" forcemathmode="5">Se(T) = \sqrt[6]{\sum_{k=X,Y,Z}(D_{k}(T)*m_{k})^6}</math> 

T being the total exposure duration represented by the "Reference time" parameter. 

====In the toolkit====
Before calculating the indicators in the toolkit, you must define a filter for each directions. Filters will be selected in accordance with the wanted result (Hand-arms; Whole-Body, ..) and the direction of the measurement as specified in the table [[Human_Vibration#Time-weighting_filters|describing the filters]]. Filters will be applied to the signal before calculating the indicators, but the time-filtered signal will not be saved. 
[[Image:proc_filt.png]]
 
You will then need to enter the reference time you want to use to estimate the parameters on a greater duration. This duration must be entered in second. The default value is 288500 second, corresponding to a 8 hours measurement: 
[[Image:Ref_Time.png]]

You will finally need to enter the MTVV Tau value. The MTVV Tau is the integration time in seconds used for the calculation of the MTVV. The ISO 2651 recommand to use 1sec. This is the default value of the setting. 

Once the filters selected and the parameters competed, you can select the metrics you want to calculate by checking the different boxes. 
[[Image:all_proc.png]] 
You can then start the processing to calculate the indicators. 

Here, we are calculating all the indicator for the "Seat_Pad_Measurement" signal. This signal contain 3 Tracks, one for each channel X, Y and Z of a three axis accelerometer. As we want to calculate the multi-axis metrics, we also define a sensor on the three tracks, called "Seat_Pas_3axis". 
[[Image:Set_up_seatPad.png|500px]]
 
Once completed, the result can be find the currently opened project in the [[NVGate Project manager]]. A new measurement called "NAME_OF_THE_Signal_out" containing the result is created. 

[[Image:ResInProjMAn2.png|300px]] 

Each indicator is calculated for each direction and for each track of the signal. The name of the result contain the name of the track, the considered direction and the filter used for that direction (except for the <math>D_k</math> which use specific filters). 
The following picture show the indicators for the first track (SeatPadX) of the signal : 
[[Image:Resut_SeatPad.png|300px]]
 

For the metrics estimated on the "Reference Time", the name the indicator is followed by "(Ref_Time_in_Second"). Here an example with the VDV metric, the name of the indicator is displayed in the window title : 
[[Image:VDV_andTexp.png|800px]]
 

The metrics combining the three directions (av, Se, Ah,...) are named as following : "METRICS_Name : Sensor". By example here for the Se :

[[Image:Se.png|400px]]
 
You can then display the result in NVGate by double clicking.
 
====Unit in NVGate====
To display the right unit for the MSDV;, VDV and Se indicators, you need to modify the [[NVGate_User_Preferences#Physical_quantity|Spare units of NVGate]] as :
* Spare1 : <math>m/{s}^{1.75}</math> for the VDV
* Spare2 : <math>m/{s}^{1.5}</math> for the MSDV
* Spare3 : <math>Pa</math> for the Se (you can adapt the display as MPa).
 
No formulae need to be entered as the calculations are already made in the toolkit. You will only need to enter the unit and your display preferences.
 
==Practical information about measurements==

Durée de mesure
Type de mesure
Placement des capteurs
Exemple de capteur : [[https://www.dytran.com/Search/?searchText=seat+pad|Seat Pad accelerometer]]
Capteur avec adaptateurs hand arms

Human Vibration

2020-12-07T17:38:55Z

NIcolasAegerter: /* Calculating the other indicators with NVGate */

The OROS Body Vibration tool allow you to evaluate the affect of vibration on the human body according to standards ISO 2651 and ISO 5349. These standard define measurement practice and vibration signal analysis to evaluate the affect on health and and comfort of environmental and equipment vibrations on the Human body. 

The ISO 2651 describe the affect on health and comfort of vibration on the whole-body in transportation system, and the ISO 5349 the affect on health of vibration on hands and arms when manipulating machine-tools or vibrating objects. In the following, we will see how to use OROS to evaluate these effect. 
 
This is a post analysis toolkit, operating alongside NVGate after the recording of the signal and will help you to calculate time-weighted signal of acceleration and specific indicators both defined in the standards. 
[[Image:OROS_BodyVib2.png|800px|none]]
 
==Download & install==
Download the program here (version from 03/12/2020) :
https://orossas.sharepoint.com/:u:/g/support/EXCVJE_bLGZMgHg1mr4p1hwB5ICqdqKBXTK3kH9stxozKg?e=UJg72W

Once downloaded, you can unzip the folder and lunch the installer program Setup_OROS_BodyVibration_Tool_vXX.exe. Follow the step of the program to properly install the software. 

The program will be installed in "C:\OROS\Programs\ExternalTools". Shortcuts are created on the main desktop, in the Windows Start program and in the "Link" repertory of NVGate. By that way you can directly run the program from NVGate.

==How to use==

<ol>
<li>Launch NVGate </li>
<li>Launch OROS_BodyVibration_Tool.exe </li>
<li>Open a project in NVGate </li>

[[File:Open_Proj.png]]
 
<li>In the tool, Click on list measurement to list all the measurement present in the project (only the measurement where the signal files are actually on the disk will be displayed. Ensure you have [[NVGate_Project_manager#Uploading.2FDownloading|downloaded signal from the OR3X disk]]) </li>
[[Image:List_Meas.png|400px|none]]
<li>Add the measurement you want to analyse in the "selected list" area using the ">>" button. Use the "<<" button to remove file if needed. </li>
[[Image:Add_Rmv.png|400px|none]]
<li>Click on "Select Directions" to set the direction and sensor for each channel (This step is not necessary if you only want the time-weighted signals). </li>
[[Image:Select_DOF.png|400px|none]]
<li>Select the weighting you want to apply on the time signal </li>
[[Image:Select_Filter.png|400px|none]]
<li>Select the weighting you want to apply for each direction X, Y and Z used for the indicators </li>
[[Image:Select_Process_Filt.png|400px|none]]
<li>Select the metrics you want to calculate </li>
[[Image:Select_Metric.png|400px|none]]
<li>Click on "Start Processing" </li>
[[Image:Strat_Proc.png|400px|none]]
<li>The processing is completed when a the following pop-up window appear. The results and weighted signal have added to the current NVGate project. See the next sections for details. </li>
[[Image:The_End.png|400px|none]]
</ol>

==Toolkit results==
===Time-weighted signal===
Studies of the affect of vibrations on the human body suggest that part of the body don't have the same response to vibrations, and will be sensitive to specific frequencies and transient component of vibration signal. In order to represent the sensitivity of the human boy, ISO standards defined time-weighting that must applied to the signal according to the environmental conditions. The following part present you how to apply time-weighting filters to your signal using the toolkit.
====Time-weighting filters====
As defined in the standards, specific time weighting must be applied to the acceleration signal in order to represent the effect of vibrations on health and comfort. Here is the list of the different time-weighting filters implemented in the toolkit : 
{| class="wikitable" style="margin: auto;"
|+style="caption-side:bottom;"|''Time-weighting filters''
|-
|style="height:30px; width:100px;"|<math>W_k</math>
|Time weighting for the Z axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_d</math>
|Time weighting for the X and Y axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_h</math>
|Time weighting for the hand-arms measurement in any direction (ISO 5349-1)
|-
|style="height:30px; width:100px;"|<math>W_f</math>
|Time weighting for motion sickness measurement in the vertical direction (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_c</math>
|Time weighting for the X axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_e</math>
|Time weighting for all rotational directions for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_j</math>
|Time weighting for the Z axis for head comfort measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_m</math>
|Time weighting for all directions for building's vibration comfort measurement (ISO 2651-2)
|}

Filters have been validated from 0.5 to 10kHz at 25.6kSample/second.

====Usage in the toolkit====
The toolkit allow you to calculate the filtered raw signal with any of the above weighting filters. This will allow you to display [[NVGate FFT Analyzer|spectrums]] and calculate RMS via [[NVGate_Post_Analysis|post-analysis]] in NVGate.

To calculate the raw weighted signal, simply select the filters you want in the "Time signal filters" section :

[[Image:Filter2.png]]

Once the processing is completed, a new measurement containing the filtered signal for each selected filter is created in [[NVGate Project manager|NVGate Project Manager]] :

[[Image:Filtered_Sig.png|400px]]
 
You can then load the new signals in the player as any NVGate signal. Each track of the signal is filtered with the corresponding filter. 

[[Image:Sig_In_ Player.png|800px]]

===Health and comfort indicator===
In addition to the time-weighting filters, the ISO standards present a series of specific metrics to evaluate the affect of vibrations on the Human body. The following section will present you how to use the toolkit to access these metrics.
====Indicators====

{| class="wikitable" style="margin: auto;"
|+style="caption-side:bottom;"|''Body vibration indicators''
|-
|style="height:30px; width:100px;"|<math>A_w</math>
|RMS of the weighted acceleration magnitude.
|-
|style="height:30px; width:100px;"|<math>a_v</math>
|Total RMS value calculated as a quadratic average of the three direction for each tri-axial sensor.
|-
|style="height:30px; width:100px;"|<math>A_h</math>
|RMS of the <math>W_h</math> weighted acceleration magnitude.
|-
|style="height:30px; width:100px;"|<math>Peak</math>
|Amplitude Peak of the vibration; maximal amplitude of the signal from the 0 (Calculated from Post processing in NVGate)
|-
|style="height:30px; width:100px;"|<math>Crest factor</math>
|Ratio between the Peak level and the RMS of the weighted signal(Calculated from Post processing in NVGate)
|-
|style="height:30px; width:100px;"|<math>MTVV</math>
|Maximum Transient Vibration Value, represent the maximal RMS value of the signal
|-
|style="height:30px; width:100px;"|<math>VDV</math>
|Vibration Dose Value, taking into account the temporal shocks in the signal
|-
|style="height:30px; width:100px;"|<math>MSDV</math>
|Motion Sickness Dose Value, representing the comfort in transportation measurement
|-
|style="height:30px; width:100px;"|<math>D_k</math>
|The Acceleration Dose, representing the affect of the vibration on the spine
|-
|style="height:30px; width:100px;"|<math>Se</math>
|The equivalent Static compression stress on the spine, caused by repeated shocks
|}

======Aw======

The <math>A_w</math> is the RMS of the weighted acceleration signal. The weighting is applied in accordance with the direction set for each channel and the weighting filter defined for the direction. 

For each channel, the <math>A_w</math> and <math>A_w(T)</math> will be calculated. The <math>A_w(T)</math> is the Daily exposure value, defined as : 
<math display="block" forcemathmode="5">A_w(T) = A_w*k_{i}*\sqrt{\frac{T}{T_m}}</math>
 
With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter. the <math>k_i</math> factor is defined in the ISO 2631 as <math>k_X = k_Y = 1.4</math> and <math>k_Z = 1</math>.

When comparing result from one measurement point in the three direction, the maximum of the Daily exposure value must be used as the total daily exposure value at that point : 
<math display="block" forcemathmode="5">A_w(T) = max(A_{wX}(T), A_{wY}(T), A_{wZ}(T)) </math>
 
======av======
The <math>a_v</math> is the total RMS vibration value of the weighted acceleration signal. This value will only be calculated if a sensor have been defined in the definition of direction window.

For each tri-axial sensor, the <math>a_v</math> will be calculated as a quadratic average of the weighted RMS value in the three directions : 

<math display="block" forcemathmode="5">a_v = \sqrt{{a_{vX}}^{2}*{k_{X}}^{2} + {a_{vY}}^{2}*{k_{Y}}^{2} + {a_{vZ}}^{2}*{k_{Z}}^{2}}</math> 
With <math>k_{X,Y,Z}</math> a factor defined in the ISO 2631 as <math>k_{X}=k_{Y}=1.4</math> and <math>k_{Z}=1</math>
 
======Ah======
The <math>A_h</math> is the RMS of the <math>W_h</math> weighted acceleration signal for hand-arms vibration measurement. For each channel, the <math>A_h</math> and <math>A_h(T)</math> will be calculated. The <math>A_h(T)</math> is the Daily exposure value, defined as : 

<math display="block" forcemathmode="5">A_h(T) = A_h*\sqrt{\frac{T}{T_m}}</math> 

With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter. 

If any sensor is defined, the total <math>A_h</math> and <math>A_h(T)</math> will be calculated for each sensor as a quadratic average of the three direction of the sensor : 
<math display="block" forcemathmode="5">A_{h Total} = \sqrt{{a_{hX}}^{2}*{k_{X}}^{2} + {a_{hY}}^{2}*{k_{Y}}^{2} + {a_{hZ}}^{2}*{k_{Z}}^{2}}</math>
 
and : 
 
<math display="block" forcemathmode="5">A_{h Total}(T) = \sqrt{{a_{hX}}^{2}*{k_{X}}^{2} + {a_{hY}}^{2}*{k_{Y}}^{2} + {a_{hZ}}^{2}*{k_{Z}}^{2}}*\sqrt{\frac{T}{T_m}}</math>
 
With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter, and <math>k_{X}=k_{Y}=k_{Z}=1</math>
 

======Peak======

This indicator is the [[NVGate_Time_Domain_Analysis#Available_results|peak amplitude]] of the vibration signal. It represent the maximal amplitude of the weighted signal. This indicator can be obtained in NVGate by [[NVGate Post Analysis|post-analysing]] the weighted signal with the [[NVGate Time Domain Analysis|TDA plugin of NVGate]].

======Crest Factor======

This indicator is the [[NVGate_Time_Domain_Analysis#Available_results|Crest Factor]] of the vibration signal. It represent the importances of the transient event in the signal as the ratio of the maximal Peak amplitude over the RMS level for the weighted signal. This indicator can be obtained in NVGate by [[NVGate Post Analysis|post-analysing]] the weighted signal with the [[NVGate Time Domain Analysis|TDA plugin of NVGate]].

======MTVV======
The MTVV is the Maximal Transient Vibration Value, is the maximum of the running RMS of the weighted acceleration. This value is calculated for each channel and is expressed in m/s².

The MTVV Tau is the integration time, expressed in seconds. This value can be edited before the calculation, but the ISO 2631 recommand to use 1 second. Therefore this is the default value of this parameter.

======VDV======
The VDV is the forth power Vibration Dose Value. It is calculated as a cumulative sum of the weighted acceleration at the forth power. The forth power is used to give more weight to the transient event of the signal over the periodic event. Therefore, this indicator must be used to asses the effect of shock on human health and comfort. The VDV is calculated for each channel and expressed in m/s^(1.75). 

If the "VDVTexp" box is checked, an evaluation of the VDV value over a longer time period will be calculated of each channel as : 
<math display="block" forcemathmode="5">VDV_{X,Y,Z}(T) = VDV_{X,Y,Z}*k_{X,Y,Z}*\sqrt[4]{\frac{T}{T_m}}</math> 

With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter, and <math>k_{X}=k_{Y}=1.4</math>, and <math>k_{Z}=1</math>
======MSDV======
This metric is the Motion Sickness Dose Value, used to evaluate the ride comfort in in-vehicle measurement. It is expressed in m.s^(1.5). 

Although this value will be calculated for each direction, only the Z-direction will have a prominent relevance to assess ride comfort.
======Dk======
<math>D_k</math> is the acceleration dose. It is use to evaluate the effect of vibrations on the human spine, and calculated as the 6th root of the sum of the peaks in the acceleration signal raised at the 6th power. it is expressed in m/s². Peaks are defined as the absolute maximum of the acceleration signal between two zeros crossing. In the Z direction, only the positive peak will be considered, were all positive and negative peaks are used for the X and Y directions. 

Specific filters are used to weight the acceleration signal before calculating the <math>D_k</math>. These filter are different for the vertical and horizontal direction, and are defined for a sampling rate of 160 Sample/second. Therefore, we advise to [[NVGate Recorder|record]] the signal with a low [[NVGate_Front_End#Input_settings|sampling rate]] in NVGate. 

Assessing the affect of the vibration on human spine most is important when dealing with transportation vehicular, especially from driver seat. for a better evaluation, the ISO 2631-5 advise to calculate the daily acceleration dose, defined as : 

<math display="block" forcemathmode="5">D_{X,Y,Z}(T) = D_{X,Y,Z}*\sqrt[6]{\frac{T}{T_m}}</math> 

This value will be calculated if the box "Dk Texp" is checked.

======Se======
The Se is the compressive stress on the human spine, expressed in MPa. It is calculated by the combination the Dk in the three direction. Therefore, it will only be calculated if sensors are defined in the "Select Direction" window. One value of Se will be calculated for each sensor by the formula : 
<math display="block" forcemathmode="5">Se = \sqrt[6]{\sum_{k=X,Y,Z}(D_{k}*m_{k})^6}</math> 

Where <math>m_{X} = 0,015</math> MPa/(m/s²), <math>m_{Y} = 0,035</math> MPa/(m/s²) and <math>m_{Z} = 0,032</math> MPa/(m/s²). 

To evaluate the lumbar stress over a daily exposition time, the Se(T) will also be calculated as : 
<math display="block" forcemathmode="5">Se(T) = \sqrt[6]{\sum_{k=X,Y,Z}(D_{k}(T)*m_{k})^6}</math> 

T being the total exposure duration represented by the "Reference time" parameter. 

====In the toolkit====
Before calculating the indicators in the toolkit, you must define a filter for each directions. Filters will be selected in accordance with the wanted result (Hand-arms; Whole-Body, ..) and the direction of the measurement as specified in the table [[Human_Vibration#Time-weighting_filters|describing the filters]]. Filters will be applied to the signal before calculating the indicators, but the time-filtered signal will not be saved. 
[[Image:proc_filt.png]]
 
You will then need to enter the reference time you want to use to estimate the parameters on a greater duration. This duration must be entered in second. The default value is 288500 second, corresponding to a 8 hours measurement: 
[[Image:Ref_Time.png]]

You will finally need to enter the MTVV Tau value. The MTVV Tau is the integration time in seconds used for the calculation of the MTVV. The ISO 2651 recommand to use 1sec. This is the default value of the setting. 

Once the filters selected and the parameters competed, you can select the metrics you want to calculate by checking the different boxes. 
[[Image:all_proc.png]] 
You can then start the processing to calculate the indicators. 

Here, we are calculating all the indicator for the "Seat_Pad_Measurement" signal. This signal contain 3 Tracks, one for each channel X, Y and Z of a three axis accelerometer. As we want to calculate the multi-axis metrics, we also define a sensor on the three tracks, called "Seat_Pas_3axis". 
[[Image:Set_up_seatPad.png|500px]]
 
Once completed, the result can be find the currently opened project in the [[NVGate Project manager]]. A new measurement called "NAME_OF_THE_Signal_out" containing the result is created. 

[[Image:ResInProjMAn2.png|300px]] 

Each indicator is calculated for each direction and for each track of the signal. The name of the result contain the name of the track, the considered direction and the filter used for that direction (except for the <math>D_k</math> which use specific filters). 
The following picture show the indicators for the first track (SeatPadX) of the signal : 
[[Image:Resut_SeatPad.png|300px]]
 

For the metrics estimated on the "Reference Time", the name the indicator is followed by "(Ref_Time_in_Second"). Here an example with the VDV metric, the name of the indicator is displayed in the window title : 
[[Image:VDV_andTexp.png|800px]]
 

The metrics combining the three directions (av, Se, Ah,...) are named as following : "METRICS_Name : Sensor". By example here for the Se :

[[Image:Se.png|400px]]
 
You can then display the result in NVGate by double clicking.
 
====Unit in NVGate====
To display the right unit for the MSDV;, VDV and Se indicators, you need to modify the [[NVGate_User_Preferences#Physical_quantity|Spare units of NVGate]] as :
* Spare1 : <math>m/{s}^{1.75}</math> for the VDV
* Spare2 : <math>m/{s}^{1.5}</math> for the MSDV
* Spare3 : <math>Pa</math> for the Se (you can adapt the display as MPa).
 
No formulae need to be entered as the calculations are already made in the toolkit. You will only need to enter the unit and your display preferences.

==Practical information about measurements==

Durée de mesure
Type de mesure
Placement des capteurs
Exemple de capteur : [[https://www.dytran.com/Search/?searchText=seat+pad|Seat Pad accelerometer]]
Capteur avec adaptateurs hand arms

Human Vibration

2020-12-07T17:20:09Z

NIcolasAegerter: /* Peak */

The OROS Body Vibration tool allow you to evaluate the affect of vibration on the human body according to standards ISO 2651 and ISO 5349. These standard define measurement practice and vibration signal analysis to evaluate the affect on health and and comfort of environmental and equipment vibrations on the Human body. 

The ISO 2651 describe the affect on health and comfort of vibration on the whole-body in transportation system, and the ISO 5349 the affect on health of vibration on hands and arms when manipulating machine-tools or vibrating objects. In the following, we will see how to use OROS to evaluate these effect. 
 
This is a post analysis toolkit, operating alongside NVGate after the recording of the signal and will help you to calculate time-weighted signal of acceleration and specific indicators both defined in the standards. 
[[Image:OROS_BodyVib2.png|800px|none]]
 
==Download & install==
Download the program here (version from 03/12/2020) :
https://orossas.sharepoint.com/:u:/g/support/EXCVJE_bLGZMgHg1mr4p1hwB5ICqdqKBXTK3kH9stxozKg?e=UJg72W

Once downloaded, you can unzip the folder and lunch the installer program Setup_OROS_BodyVibration_Tool_vXX.exe. Follow the step of the program to properly install the software. 

The program will be installed in "C:\OROS\Programs\ExternalTools". Shortcuts are created on the main desktop, in the Windows Start program and in the "Link" repertory of NVGate. By that way you can directly run the program from NVGate.

==How to use==

<ol>
<li>Launch NVGate </li>
<li>Launch OROS_BodyVibration_Tool.exe </li>
<li>Open a project in NVGate </li>

[[File:Open_Proj.png]]
 
<li>In the tool, Click on list measurement to list all the measurement present in the project (only the measurement where the signal files are actually on the disk will be displayed. Ensure you have [[NVGate_Project_manager#Uploading.2FDownloading|downloaded signal from the OR3X disk]]) </li>
[[Image:List_Meas.png|400px|none]]
<li>Add the measurement you want to analyse in the "selected list" area using the ">>" button. Use the "<<" button to remove file if needed. </li>
[[Image:Add_Rmv.png|400px|none]]
<li>Click on "Select Directions" to set the direction and sensor for each channel (This step is not necessary if you only want the time-weighted signals). </li>
[[Image:Select_DOF.png|400px|none]]
<li>Select the weighting you want to apply on the time signal </li>
[[Image:Select_Filter.png|400px|none]]
<li>Select the weighting you want to apply for each direction X, Y and Z used for the indicators </li>
[[Image:Select_Process_Filt.png|400px|none]]
<li>Select the metrics you want to calculate </li>
[[Image:Select_Metric.png|400px|none]]
<li>Click on "Start Processing" </li>
[[Image:Strat_Proc.png|400px|none]]
<li>The processing is completed when a the following pop-up window appear. The results and weighted signal have added to the current NVGate project. See the next sections for details. </li>
[[Image:The_End.png|400px|none]]
</ol>

==Toolkit results==
===Time-weighted signal===
Studies of the affect of vibrations on the human body suggest that part of the body don't have the same response to vibrations, and will be sensitive to specific frequencies and transient component of vibration signal. In order to represent the sensitivity of the human boy, ISO standards defined time-weighting that must applied to the signal according to the environmental conditions. The following part present you how to apply time-weighting filters to your signal using the toolkit.
====Time-weighting filters====
As defined in the standards, specific time weighting must be applied to the acceleration signal in order to represent the effect of vibrations on health and comfort. Here is the list of the different time-weighting filters implemented in the toolkit : 
{| class="wikitable" style="margin: auto;"
|+style="caption-side:bottom;"|''Time-weighting filters''
|-
|style="height:30px; width:100px;"|<math>W_k</math>
|Time weighting for the Z axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_d</math>
|Time weighting for the X and Y axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_h</math>
|Time weighting for the hand-arms measurement in any direction (ISO 5349-1)
|-
|style="height:30px; width:100px;"|<math>W_f</math>
|Time weighting for motion sickness measurement in the vertical direction (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_c</math>
|Time weighting for the X axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_e</math>
|Time weighting for all rotational directions for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_j</math>
|Time weighting for the Z axis for head comfort measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_m</math>
|Time weighting for all directions for building's vibration comfort measurement (ISO 2651-2)
|}

Filters have been validated from 0.5 to 10kHz at 25.6kSample/second.

====Usage in the toolkit====
The toolkit allow you to calculate the filtered raw signal with any of the above weighting filters. This will allow you to display [[NVGate FFT Analyzer|spectrums]] and calculate RMS via [[NVGate_Post_Analysis|post-analysis]] in NVGate.

To calculate the raw weighted signal, simply select the filters you want in the "Time signal filters" section :

[[Image:Filter2.png]]

Once the processing is completed, a new measurement containing the filtered signal for each selected filter is created in [[NVGate Project manager|NVGate Project Manager]] :

[[Image:Filtered_Sig.png|400px]]
 
You can then load the new signals in the player as any NVGate signal. Each track of the signal is filtered with the corresponding filter. 

[[Image:Sig_In_ Player.png|800px]]

===Health and comfort indicator===
In addition to the time-weighting filters, the ISO standards present a series of specific metrics to evaluate the affect of vibrations on the Human body. The following section will present you how to use the toolkit to access these metrics.
====Indicators====

{| class="wikitable" style="margin: auto;"
|+style="caption-side:bottom;"|''Body vibration indicators''
|-
|style="height:30px; width:100px;"|<math>A_w</math>
|RMS of the weighted acceleration magnitude.
|-
|style="height:30px; width:100px;"|<math>a_v</math>
|Total RMS value calculated as a quadratic average of the three direction for each tri-axial sensor.
|-
|style="height:30px; width:100px;"|<math>A_h</math>
|RMS of the <math>W_h</math> weighted acceleration magnitude.
|-
|style="height:30px; width:100px;"|<math>Peak</math>
|Amplitude Peak of the vibration; maximal amplitude of the signal from the 0 (Calculated from Post processing in NVGate)
|-
|style="height:30px; width:100px;"|<math>Crest factor</math>
|Ratio between the Peak level and the RMS of the weighted signal(Calculated from Post processing in NVGate)
|-
|style="height:30px; width:100px;"|<math>MTVV</math>
|Maximum Transient Vibration Value, represent the maximal RMS value of the signal
|-
|style="height:30px; width:100px;"|<math>VDV</math>
|Vibration Dose Value, taking into account the temporal shocks in the signal
|-
|style="height:30px; width:100px;"|<math>MSDV</math>
|Motion Sickness Dose Value, representing the comfort in transportation measurement
|-
|style="height:30px; width:100px;"|<math>D_k</math>
|The Acceleration Dose, representing the affect of the vibration on the spine
|-
|style="height:30px; width:100px;"|<math>Se</math>
|The equivalent Static compression stress on the spine, caused by repeated shocks
|}

======Aw======

The <math>A_w</math> is the RMS of the weighted acceleration signal. The weighting is applied in accordance with the direction set for each channel and the weighting filter defined for the direction. 

For each channel, the <math>A_w</math> and <math>A_w(T)</math> will be calculated. The <math>A_w(T)</math> is the Daily exposure value, defined as : 
<math display="block" forcemathmode="5">A_w(T) = A_w*k_{i}*\sqrt{\frac{T}{T_m}}</math>
 
With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter. the <math>k_i</math> factor is defined in the ISO 2631 as <math>k_X = k_Y = 1.4</math> and <math>k_Z = 1</math>.

When comparing result from one measurement point in the three direction, the maximum of the Daily exposure value must be used as the total daily exposure value at that point : 
<math display="block" forcemathmode="5">A_w(T) = max(A_{wX}(T), A_{wY}(T), A_{wZ}(T)) </math>
 
======av======
The <math>a_v</math> is the total RMS vibration value of the weighted acceleration signal. This value will only be calculated if a sensor have been defined in the definition of direction window.

For each tri-axial sensor, the <math>a_v</math> will be calculated as a quadratic average of the weighted RMS value in the three directions : 

<math display="block" forcemathmode="5">a_v = \sqrt{{a_{vX}}^{2}*{k_{X}}^{2} + {a_{vY}}^{2}*{k_{Y}}^{2} + {a_{vZ}}^{2}*{k_{Z}}^{2}}</math> 
With <math>k_{X,Y,Z}</math> a factor defined in the ISO 2631 as <math>k_{X}=k_{Y}=1.4</math> and <math>k_{Z}=1</math>
 
======Ah======
The <math>A_h</math> is the RMS of the <math>W_h</math> weighted acceleration signal for hand-arms vibration measurement. For each channel, the <math>A_h</math> and <math>A_h(T)</math> will be calculated. The <math>A_h(T)</math> is the Daily exposure value, defined as : 

<math display="block" forcemathmode="5">A_h(T) = A_h*\sqrt{\frac{T}{T_m}}</math> 

With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter. 

If any sensor is defined, the total <math>A_h</math> and <math>A_h(T)</math> will be calculated for each sensor as a quadratic average of the three direction of the sensor : 
<math display="block" forcemathmode="5">A_{h Total} = \sqrt{{a_{hX}}^{2}*{k_{X}}^{2} + {a_{hY}}^{2}*{k_{Y}}^{2} + {a_{hZ}}^{2}*{k_{Z}}^{2}}</math>
 
and : 
 
<math display="block" forcemathmode="5">A_{h Total}(T) = \sqrt{{a_{hX}}^{2}*{k_{X}}^{2} + {a_{hY}}^{2}*{k_{Y}}^{2} + {a_{hZ}}^{2}*{k_{Z}}^{2}}*\sqrt{\frac{T}{T_m}}</math>
 
With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter, and <math>k_{X}=k_{Y}=k_{Z}=1</math>
 

======Peak======

This indicator is the [[NVGate_Time_Domain_Analysis#Available_results|peak amplitude]] of the vibration signal. It represent the maximal amplitude of the weighted signal. This indicator can be obtained in NVGate by [[NVGate Post Analysis|post-analysing]] the weighted signal with the [[NVGate Time Domain Analysis|TDA plugin of NVGate]].

======Crest Factor======

This indicator is the [[NVGate_Time_Domain_Analysis#Available_results|Crest Factor]] of the vibration signal. It represent the importances of the transient event in the signal as the ratio of the maximal Peak amplitude over the RMS level for the weighted signal. This indicator can be obtained in NVGate by [[NVGate Post Analysis|post-analysing]] the weighted signal with the [[NVGate Time Domain Analysis|TDA plugin of NVGate]].

======MTVV======
The MTVV is the Maximal Transient Vibration Value, is the maximum of the running RMS of the weighted acceleration. This value is calculated for each channel and is expressed in m/s².

The MTVV Tau is the integration time, expressed in seconds. This value can be edited before the calculation, but the ISO 2631 recommand to use 1 second. Therefore this is the default value of this parameter.

======VDV======
The VDV is the forth power Vibration Dose Value. It is calculated as a cumulative sum of the weighted acceleration at the forth power. The forth power is used to give more weight to the transient event of the signal over the periodic event. Therefore, this indicator must be used to asses the effect of shock on human health and comfort. The VDV is calculated for each channel and expressed in m/s^(1.75). 

If the "VDVTexp" box is checked, an evaluation of the VDV value over a longer time period will be calculated of each channel as : 
<math display="block" forcemathmode="5">VDV_{X,Y,Z}(T) = VDV_{X,Y,Z}*k_{X,Y,Z}*\sqrt[4]{\frac{T}{T_m}}</math> 

With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter, and <math>k_{X}=k_{Y}=1.4</math>, and <math>k_{Z}=1</math>
======MSDV======
This metric is the Motion Sickness Dose Value, used to evaluate the ride comfort in in-vehicle measurement. It is expressed in m.s^(1.5). 

Although this value will be calculated for each direction, only the Z-direction will have a prominent relevance to assess ride comfort.
======Dk======
<math>D_k</math> is the acceleration dose. It is use to evaluate the effect of vibrations on the human spine, and calculated as the 6th root of the sum of the peaks in the acceleration signal raised at the 6th power. it is expressed in m/s². Peaks are defined as the absolute maximum of the acceleration signal between two zeros crossing. In the Z direction, only the positive peak will be considered, were all positive and negative peaks are used for the X and Y directions. 

Specific filters are used to weight the acceleration signal before calculating the <math>D_k</math>. These filter are different for the vertical and horizontal direction, and are defined for a sampling rate of 160 Sample/second. Therefore, we advise to [[NVGate Recorder|record]] the signal with a low [[NVGate_Front_End#Input_settings|sampling rate]] in NVGate. 

Assessing the affect of the vibration on human spine most is important when dealing with transportation vehicular, especially from driver seat. for a better evaluation, the ISO 2631-5 advise to calculate the daily acceleration dose, defined as : 

<math display="block" forcemathmode="5">D_{X,Y,Z}(T) = D_{X,Y,Z}*\sqrt[6]{\frac{T}{T_m}}</math> 

This value will be calculated if the box "Dk Texp" is checked.

======Se======
The Se is the compressive stress on the human spine, expressed in MPa. It is calculated by the combination the Dk in the three direction. Therefore, it will only be calculated if sensors are defined in the "Select Direction" window. One value of Se will be calculated for each sensor by the formula : 
<math display="block" forcemathmode="5">Se = \sqrt[6]{\sum_{k=X,Y,Z}(D_{k}*m_{k})^6}</math> 

Where <math>m_{X} = 0,015</math> MPa/(m/s²), <math>m_{Y} = 0,035</math> MPa/(m/s²) and <math>m_{Z} = 0,032</math> MPa/(m/s²). 

To evaluate the lumbar stress over a daily exposition time, the Se(T) will also be calculated as : 
<math display="block" forcemathmode="5">Se(T) = \sqrt[6]{\sum_{k=X,Y,Z}(D_{k}(T)*m_{k})^6}</math> 

T being the total exposure duration represented by the "Reference time" parameter. 

====In the toolkit====
Before calculating the indicators in the toolkit, you must define a filter for each directions. Filters will be selected in accordance with the wanted result (Hand-arms; Whole-Body, ..) and the direction of the measurement as specified in the table [[Human_Vibration#Time-weighting_filters|describing the filters]]. Filters will be applied to the signal before calculating the indicators, but the time-filtered signal will not be saved. 
[[Image:proc_filt.png]]
 
You will then need to enter the reference time you want to use to estimate the parameters on a greater duration. This duration must be entered in second. The default value is 288500 second, corresponding to a 8 hours measurement: 
[[Image:Ref_Time.png]]

You will finally need to enter the MTVV Tau value. The MTVV Tau is the integration time in seconds used for the calculation of the MTVV. The ISO 2651 recommand to use 1sec. This is the default value of the setting. 

Once the filters selected and the parameters competed, you can select the metrics you want to calculate by checking the different boxes. 
[[Image:all_proc.png]] 
You can then start the processing to calculate the indicators. 

Here, we are calculating all the indicator for the "Seat_Pad_Measurement" signal. This signal contain 3 Tracks, one for each channel X, Y and Z of a three axis accelerometer. As we want to calculate the multi-axis metrics, we also define a sensor on the three tracks, called "Seat_Pas_3axis". 
[[Image:Set_up_seatPad.png|500px]]
 
Once completed, the result can be find the currently opened project in the [[NVGate Project manager]]. A new measurement called "NAME_OF_THE_Signal_out" containing the result is created. 

[[Image:ResInProjMAn2.png|300px]] 

Each indicator is calculated for each direction and for each track of the signal. The name of the result contain the name of the track, the considered direction and the filter used for that direction (except for the <math>D_k</math> which use specific filters). 
The following picture show the indicators for the first track (SeatPadX) of the signal : 
[[Image:Resut_SeatPad.png|300px]]
 

For the metrics estimated on the "Reference Time", the name the indicator is followed by "(Ref_Time_in_Second"). Here an example with the VDV metric, the name of the indicator is displayed in the window title : 
[[Image:VDV_andTexp.png|800px]]
 

The metrics combining the three directions (av, Se, Ah,...) are named as following : "METRICS_Name : Sensor". By example here for the Se :

[[Image:Se.png|400px]]
 
You can then display the result in NVGate by double clicking.
 
====Unit in NVGate====
To display the right unit for the MSDV;, VDV and Se indicators, you need to modify the [[NVGate_User_Preferences#Physical_quantity|Spare units of NVGate]] as :
* Spare1 : <math>m/{s}^{1.75}</math> for the VDV
* Spare2 : <math>m/{s}^{1.5}</math> for the MSDV
* Spare3 : <math>Pa</math> for the Se (you can adapt the display as MPa).
 
No formulae need to be entered as the calculations are already made in the toolkit. You will only need to enter the unit and your display preferences.

==Calculating the other indicators with NVGate==
===<math>A_w</math>===
<math>A_w</math> is the daily vibration dose. It is calculated from an average of the RMS values form the weighted signal and represent the "quantity" of vibration the human body will receive when using of the tested equipment.

This value is defined as : <math>A_w = \sqrt{(k_{x}*a_{w_{x}})^2+(k_{y}*a_{w_{y}})^2+(k_{z}*a_{w_{z}})^2}</math>, with <math>k_i</math> defined in the standard and <math>a_{w_{x}}</math> the RMS value of the weighted acceleration signal in accordance to the direction, as defined in the [[Human_Vibration#Time-weighting_filters|table of the precedent section]]. 

====Calculation in NVGate====

To calculate the <math>A_w</math> in NVGate, calculmate the [[NVGate Time Domain Analysis#RMS|RMS level]] of the weighted signal in [[NVGate_Post_Analysis|Post analysis]]. Here, we will calculate the <math>A_w</math> for the SeatPad measurement as defined for a whole-body measurement in the ISO 2651. According to the [Human_Vibration#Time-weighting_filters|table]], we need to calculate the RMS level of the <math>W_k</math> weighted signal for the Z direction and the <math>W_d</math> weighted signal for the X and Y directions. You then must [[NVGate Display|display]] the three RMS level in the same window : 

[[Image:RMS.png|500px]]

===Ah and Ah(8)===
===VDV Texp===

==Practical information about measurements==

Durée de mesure
Type de mesure
Placement des capteurs
Exemple de capteur : [[https://www.dytran.com/Search/?searchText=seat+pad|Seat Pad accelerometer]]
Capteur avec adaptateurs hand arms

Human Vibration

2020-12-07T17:08:00Z

NIcolasAegerter:

The OROS Body Vibration tool allow you to evaluate the affect of vibration on the human body according to standards ISO 2651 and ISO 5349. These standard define measurement practice and vibration signal analysis to evaluate the affect on health and and comfort of environmental and equipment vibrations on the Human body. 

The ISO 2651 describe the affect on health and comfort of vibration on the whole-body in transportation system, and the ISO 5349 the affect on health of vibration on hands and arms when manipulating machine-tools or vibrating objects. In the following, we will see how to use OROS to evaluate these effect. 
 
This is a post analysis toolkit, operating alongside NVGate after the recording of the signal and will help you to calculate time-weighted signal of acceleration and specific indicators both defined in the standards. 
[[Image:OROS_BodyVib2.png|800px|none]]
 
==Download & install==
Download the program here (version from 03/12/2020) :
https://orossas.sharepoint.com/:u:/g/support/EXCVJE_bLGZMgHg1mr4p1hwB5ICqdqKBXTK3kH9stxozKg?e=UJg72W

Once downloaded, you can unzip the folder and lunch the installer program Setup_OROS_BodyVibration_Tool_vXX.exe. Follow the step of the program to properly install the software. 

The program will be installed in "C:\OROS\Programs\ExternalTools". Shortcuts are created on the main desktop, in the Windows Start program and in the "Link" repertory of NVGate. By that way you can directly run the program from NVGate.

==How to use==

<ol>
<li>Launch NVGate </li>
<li>Launch OROS_BodyVibration_Tool.exe </li>
<li>Open a project in NVGate </li>

[[File:Open_Proj.png]]
 
<li>In the tool, Click on list measurement to list all the measurement present in the project (only the measurement where the signal files are actually on the disk will be displayed. Ensure you have [[NVGate_Project_manager#Uploading.2FDownloading|downloaded signal from the OR3X disk]]) </li>
[[Image:List_Meas.png|400px|none]]
<li>Add the measurement you want to analyse in the "selected list" area using the ">>" button. Use the "<<" button to remove file if needed. </li>
[[Image:Add_Rmv.png|400px|none]]
<li>Click on "Select Directions" to set the direction and sensor for each channel (This step is not necessary if you only want the time-weighted signals). </li>
[[Image:Select_DOF.png|400px|none]]
<li>Select the weighting you want to apply on the time signal </li>
[[Image:Select_Filter.png|400px|none]]
<li>Select the weighting you want to apply for each direction X, Y and Z used for the indicators </li>
[[Image:Select_Process_Filt.png|400px|none]]
<li>Select the metrics you want to calculate </li>
[[Image:Select_Metric.png|400px|none]]
<li>Click on "Start Processing" </li>
[[Image:Strat_Proc.png|400px|none]]
<li>The processing is completed when a the following pop-up window appear. The results and weighted signal have added to the current NVGate project. See the next sections for details. </li>
[[Image:The_End.png|400px|none]]
</ol>

==Toolkit results==
===Time-weighted signal===
Studies of the affect of vibrations on the human body suggest that part of the body don't have the same response to vibrations, and will be sensitive to specific frequencies and transient component of vibration signal. In order to represent the sensitivity of the human boy, ISO standards defined time-weighting that must applied to the signal according to the environmental conditions. The following part present you how to apply time-weighting filters to your signal using the toolkit.
====Time-weighting filters====
As defined in the standards, specific time weighting must be applied to the acceleration signal in order to represent the effect of vibrations on health and comfort. Here is the list of the different time-weighting filters implemented in the toolkit : 
{| class="wikitable" style="margin: auto;"
|+style="caption-side:bottom;"|''Time-weighting filters''
|-
|style="height:30px; width:100px;"|<math>W_k</math>
|Time weighting for the Z axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_d</math>
|Time weighting for the X and Y axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_h</math>
|Time weighting for the hand-arms measurement in any direction (ISO 5349-1)
|-
|style="height:30px; width:100px;"|<math>W_f</math>
|Time weighting for motion sickness measurement in the vertical direction (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_c</math>
|Time weighting for the X axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_e</math>
|Time weighting for all rotational directions for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_j</math>
|Time weighting for the Z axis for head comfort measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_m</math>
|Time weighting for all directions for building's vibration comfort measurement (ISO 2651-2)
|}

Filters have been validated from 0.5 to 10kHz at 25.6kSample/second.

====Usage in the toolkit====
The toolkit allow you to calculate the filtered raw signal with any of the above weighting filters. This will allow you to display [[NVGate FFT Analyzer|spectrums]] and calculate RMS via [[NVGate_Post_Analysis|post-analysis]] in NVGate.

To calculate the raw weighted signal, simply select the filters you want in the "Time signal filters" section :

[[Image:Filter2.png]]

Once the processing is completed, a new measurement containing the filtered signal for each selected filter is created in [[NVGate Project manager|NVGate Project Manager]] :

[[Image:Filtered_Sig.png|400px]]
 
You can then load the new signals in the player as any NVGate signal. Each track of the signal is filtered with the corresponding filter. 

[[Image:Sig_In_ Player.png|800px]]

===Health and comfort indicator===
In addition to the time-weighting filters, the ISO standards present a series of specific metrics to evaluate the affect of vibrations on the Human body. The following section will present you how to use the toolkit to access these metrics.
====Indicators====

{| class="wikitable" style="margin: auto;"
|+style="caption-side:bottom;"|''Body vibration indicators''
|-
|style="height:30px; width:100px;"|<math>A_w</math>
|RMS of the weighted acceleration magnitude.
|-
|style="height:30px; width:100px;"|<math>a_v</math>
|Total RMS value calculated as a quadratic average of the three direction for each tri-axial sensor.
|-
|style="height:30px; width:100px;"|<math>A_h</math>
|RMS of the <math>W_h</math> weighted acceleration magnitude.
|-
|style="height:30px; width:100px;"|<math>Peak</math>
|Amplitude Peak of the vibration; maximal amplitude of the signal from the 0 (Calculated from Post processing in NVGate)
|-
|style="height:30px; width:100px;"|<math>Crest factor</math>
|Ratio between the Peak level and the RMS of the weighted signal(Calculated from Post processing in NVGate)
|-
|style="height:30px; width:100px;"|<math>MTVV</math>
|Maximum Transient Vibration Value, represent the maximal RMS value of the signal
|-
|style="height:30px; width:100px;"|<math>VDV</math>
|Vibration Dose Value, taking into account the temporal shocks in the signal
|-
|style="height:30px; width:100px;"|<math>MSDV</math>
|Motion Sickness Dose Value, representing the comfort in transportation measurement
|-
|style="height:30px; width:100px;"|<math>D_k</math>
|The Acceleration Dose, representing the affect of the vibration on the spine
|-
|style="height:30px; width:100px;"|<math>Se</math>
|The equivalent Static compression stress on the spine, caused by repeated shocks
|}

======Aw======

The <math>A_w</math> is the RMS of the weighted acceleration signal. The weighting is applied in accordance with the direction set for each channel and the weighting filter defined for the direction. 

For each channel, the <math>A_w</math> and <math>A_w(T)</math> will be calculated. The <math>A_w(T)</math> is the Daily exposure value, defined as : 
<math display="block" forcemathmode="5">A_w(T) = A_w*k_{i}*\sqrt{\frac{T}{T_m}}</math>
 
With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter. the <math>k_i</math> factor is defined in the ISO 2631 as <math>k_X = k_Y = 1.4</math> and <math>k_Z = 1</math>.

When comparing result from one measurement point in the three direction, the maximum of the Daily exposure value must be used as the total daily exposure value at that point : 
<math display="block" forcemathmode="5">A_w(T) = max(A_{wX}(T), A_{wY}(T), A_{wZ}(T)) </math>
 
======av======
The <math>a_v</math> is the total RMS vibration value of the weighted acceleration signal. This value will only be calculated if a sensor have been defined in the definition of direction window.

For each tri-axial sensor, the <math>a_v</math> will be calculated as a quadratic average of the weighted RMS value in the three directions : 

<math display="block" forcemathmode="5">a_v = \sqrt{{a_{vX}}^{2}*{k_{X}}^{2} + {a_{vY}}^{2}*{k_{Y}}^{2} + {a_{vZ}}^{2}*{k_{Z}}^{2}}</math> 
With <math>k_{X,Y,Z}</math> a factor defined in the ISO 2631 as <math>k_{X}=k_{Y}=1.4</math> and <math>k_{Z}=1</math>
 
======Ah======
The <math>A_h</math> is the RMS of the <math>W_h</math> weighted acceleration signal for hand-arms vibration measurement. For each channel, the <math>A_h</math> and <math>A_h(T)</math> will be calculated. The <math>A_h(T)</math> is the Daily exposure value, defined as : 

<math display="block" forcemathmode="5">A_h(T) = A_h*\sqrt{\frac{T}{T_m}}</math> 

With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter. 

If any sensor is defined, the total <math>A_h</math> and <math>A_h(T)</math> will be calculated for each sensor as a quadratic average of the three direction of the sensor : 
<math display="block" forcemathmode="5">A_{h Total} = \sqrt{{a_{hX}}^{2}*{k_{X}}^{2} + {a_{hY}}^{2}*{k_{Y}}^{2} + {a_{hZ}}^{2}*{k_{Z}}^{2}}</math>
 
and : 
 
<math display="block" forcemathmode="5">A_{h Total}(T) = \sqrt{{a_{hX}}^{2}*{k_{X}}^{2} + {a_{hY}}^{2}*{k_{Y}}^{2} + {a_{hZ}}^{2}*{k_{Z}}^{2}}*\sqrt{\frac{T}{T_m}}</math>
 
With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter, and <math>k_{X}=k_{Y}=k_{Z}=1</math>
 

======Peak======

This indicator is the [[NVGate_Time_Domain_Analysis#Available_results|peak amplitude]] of the vibration signal. It represent the maximal amplitude of the weighted signal. This indicator can be obtained in NVGate by [[NVGate Post Analysis|post-analysing]] the weighted signal with the [[NVGate Time Domain Analysis|TDA plugin of NVGate]].

======MTVV======
The MTVV is the Maximal Transient Vibration Value, is the maximum of the running RMS of the weighted acceleration. This value is calculated for each channel and is expressed in m/s².

The MTVV Tau is the integration time, expressed in seconds. This value can be edited before the calculation, but the ISO 2631 recommand to use 1 second. Therefore this is the default value of this parameter.

======VDV======
The VDV is the forth power Vibration Dose Value. It is calculated as a cumulative sum of the weighted acceleration at the forth power. The forth power is used to give more weight to the transient event of the signal over the periodic event. Therefore, this indicator must be used to asses the effect of shock on human health and comfort. The VDV is calculated for each channel and expressed in m/s^(1.75). 

If the "VDVTexp" box is checked, an evaluation of the VDV value over a longer time period will be calculated of each channel as : 
<math display="block" forcemathmode="5">VDV_{X,Y,Z}(T) = VDV_{X,Y,Z}*k_{X,Y,Z}*\sqrt[4]{\frac{T}{T_m}}</math> 

With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter, and <math>k_{X}=k_{Y}=1.4</math>, and <math>k_{Z}=1</math>
======MSDV======
This metric is the Motion Sickness Dose Value, used to evaluate the ride comfort in in-vehicle measurement. It is expressed in m.s^(1.5). 

Although this value will be calculated for each direction, only the Z-direction will have a prominent relevance to assess ride comfort.
======Dk======
<math>D_k</math> is the acceleration dose. It is use to evaluate the effect of vibrations on the human spine, and calculated as the 6th root of the sum of the peaks in the acceleration signal raised at the 6th power. it is expressed in m/s². Peaks are defined as the absolute maximum of the acceleration signal between two zeros crossing. In the Z direction, only the positive peak will be considered, were all positive and negative peaks are used for the X and Y directions. 

Specific filters are used to weight the acceleration signal before calculating the <math>D_k</math>. These filter are different for the vertical and horizontal direction, and are defined for a sampling rate of 160 Sample/second. Therefore, we advise to [[NVGate Recorder|record]] the signal with a low [[NVGate_Front_End#Input_settings|sampling rate]] in NVGate. 

Assessing the affect of the vibration on human spine most is important when dealing with transportation vehicular, especially from driver seat. for a better evaluation, the ISO 2631-5 advise to calculate the daily acceleration dose, defined as : 

<math display="block" forcemathmode="5">D_{X,Y,Z}(T) = D_{X,Y,Z}*\sqrt[6]{\frac{T}{T_m}}</math> 

This value will be calculated if the box "Dk Texp" is checked.

======Se======
The Se is the compressive stress on the human spine, expressed in MPa. It is calculated by the combination the Dk in the three direction. Therefore, it will only be calculated if sensors are defined in the "Select Direction" window. One value of Se will be calculated for each sensor by the formula : 
<math display="block" forcemathmode="5">Se = \sqrt[6]{\sum_{k=X,Y,Z}(D_{k}*m_{k})^6}</math> 

Where <math>m_{X} = 0,015</math> MPa/(m/s²), <math>m_{Y} = 0,035</math> MPa/(m/s²) and <math>m_{Z} = 0,032</math> MPa/(m/s²). 

To evaluate the lumbar stress over a daily exposition time, the Se(T) will also be calculated as : 
<math display="block" forcemathmode="5">Se(T) = \sqrt[6]{\sum_{k=X,Y,Z}(D_{k}(T)*m_{k})^6}</math> 

T being the total exposure duration represented by the "Reference time" parameter. 

====In the toolkit====
Before calculating the indicators in the toolkit, you must define a filter for each directions. Filters will be selected in accordance with the wanted result (Hand-arms; Whole-Body, ..) and the direction of the measurement as specified in the table [[Human_Vibration#Time-weighting_filters|describing the filters]]. Filters will be applied to the signal before calculating the indicators, but the time-filtered signal will not be saved. 
[[Image:proc_filt.png]]
 
You will then need to enter the reference time you want to use to estimate the parameters on a greater duration. This duration must be entered in second. The default value is 288500 second, corresponding to a 8 hours measurement: 
[[Image:Ref_Time.png]]

You will finally need to enter the MTVV Tau value. The MTVV Tau is the integration time in seconds used for the calculation of the MTVV. The ISO 2651 recommand to use 1sec. This is the default value of the setting. 

Once the filters selected and the parameters competed, you can select the metrics you want to calculate by checking the different boxes. 
[[Image:all_proc.png]] 
You can then start the processing to calculate the indicators. 

Here, we are calculating all the indicator for the "Seat_Pad_Measurement" signal. This signal contain 3 Tracks, one for each channel X, Y and Z of a three axis accelerometer. As we want to calculate the multi-axis metrics, we also define a sensor on the three tracks, called "Seat_Pas_3axis". 
[[Image:Set_up_seatPad.png|500px]]
 
Once completed, the result can be find the currently opened project in the [[NVGate Project manager]]. A new measurement called "NAME_OF_THE_Signal_out" containing the result is created. 

[[Image:ResInProjMAn2.png|300px]] 

Each indicator is calculated for each direction and for each track of the signal. The name of the result contain the name of the track, the considered direction and the filter used for that direction (except for the <math>D_k</math> which use specific filters). 
The following picture show the indicators for the first track (SeatPadX) of the signal : 
[[Image:Resut_SeatPad.png|300px]]
 

For the metrics estimated on the "Reference Time", the name the indicator is followed by "(Ref_Time_in_Second"). Here an example with the VDV metric, the name of the indicator is displayed in the window title : 
[[Image:VDV_andTexp.png|800px]]
 

The metrics combining the three directions (av, Se, Ah,...) are named as following : "METRICS_Name : Sensor". By example here for the Se :

[[Image:Se.png|400px]]
 
You can then display the result in NVGate by double clicking.
 
====Unit in NVGate====
To display the right unit for the MSDV;, VDV and Se indicators, you need to modify the [[NVGate_User_Preferences#Physical_quantity|Spare units of NVGate]] as :
* Spare1 : <math>m/{s}^{1.75}</math> for the VDV
* Spare2 : <math>m/{s}^{1.5}</math> for the MSDV
* Spare3 : <math>Pa</math> for the Se (you can adapt the display as MPa).
 
No formulae need to be entered as the calculations are already made in the toolkit. You will only need to enter the unit and your display preferences.

==Calculating the other indicators with NVGate==
===<math>A_w</math>===
<math>A_w</math> is the daily vibration dose. It is calculated from an average of the RMS values form the weighted signal and represent the "quantity" of vibration the human body will receive when using of the tested equipment.

This value is defined as : <math>A_w = \sqrt{(k_{x}*a_{w_{x}})^2+(k_{y}*a_{w_{y}})^2+(k_{z}*a_{w_{z}})^2}</math>, with <math>k_i</math> defined in the standard and <math>a_{w_{x}}</math> the RMS value of the weighted acceleration signal in accordance to the direction, as defined in the [[Human_Vibration#Time-weighting_filters|table of the precedent section]]. 

====Calculation in NVGate====

To calculate the <math>A_w</math> in NVGate, calculmate the [[NVGate Time Domain Analysis#RMS|RMS level]] of the weighted signal in [[NVGate_Post_Analysis|Post analysis]]. Here, we will calculate the <math>A_w</math> for the SeatPad measurement as defined for a whole-body measurement in the ISO 2651. According to the [Human_Vibration#Time-weighting_filters|table]], we need to calculate the RMS level of the <math>W_k</math> weighted signal for the Z direction and the <math>W_d</math> weighted signal for the X and Y directions. You then must [[NVGate Display|display]] the three RMS level in the same window : 

[[Image:RMS.png|500px]]

===Ah and Ah(8)===
===VDV Texp===

==Practical information about measurements==

Durée de mesure
Type de mesure
Placement des capteurs
Exemple de capteur : [[https://www.dytran.com/Search/?searchText=seat+pad|Seat Pad accelerometer]]
Capteur avec adaptateurs hand arms

Human Vibration

2020-12-07T16:55:32Z

NIcolasAegerter: /* In the toolkit */

The OROS Body Vibration tool allow you to evaluate the affect of vibration on the human body according to standards ISO 2651 and ISO 5349. These standard define measurement practice and vibration signal analysis to evaluate the affect on health and and comfort of environmental and equipment vibrations on the Human body. 

The ISO 2651 describe the affect on health and comfort of vibration on the whole-body in transportation system, and the ISO 5349 the affect on health of vibration on hands and arms when manipulating machine-tools or vibrating objects. In the following, we will see how to use OROS to evaluate these effect. 
 
This is a post analysis toolkit, operating alongside NVGate after the recording of the signal and will help you to calculate time-weighted signal of acceleration and specific indicators both defined in the standards. 
[[Image:OROS_BodyVib2.png|800px|none]]
 
==Download & install==
Download the program here (version from 03/12/2020) :
https://orossas.sharepoint.com/:u:/g/support/EXCVJE_bLGZMgHg1mr4p1hwB5ICqdqKBXTK3kH9stxozKg?e=UJg72W

Once downloaded, you can unzip the folder and lunch the installer program Setup_OROS_BodyVibration_Tool_vXX.exe. Follow the step of the program to properly install the software. 

The program will be installed in "C:\OROS\Programs\ExternalTools". Shortcuts are created on the main desktop, in the Windows Start program and in the "Link" repertory of NVGate. By that way you can directly run the program from NVGate.

==How to use==

<ol>
<li>Launch NVGate </li>
<li>Launch OROS_BodyVibration_Tool.exe </li>
<li>Open a project in NVGate </li>

[[File:Open_Proj.png]]
 
<li>In the tool, Click on list measurement to list all the measurement present in the project (only the measurement where the signal files are actually on the disk will be displayed. Ensure you have [[NVGate_Project_manager#Uploading.2FDownloading|downloaded signal from the OR3X disk]]) </li>
[[Image:List_Meas.png|400px|none]]
<li>Add the measurement you want to analyse in the "selected list" area using the ">>" button. Use the "<<" button to remove file if needed. </li>
[[Image:Add_Rmv.png|400px|none]]
<li>Click on "Select Directions" to set the direction and sensor for each channel (This step is not necessary if you only want the time-weighted signals). </li>
[[Image:Select_DOF.png|400px|none]]
<li>Select the weighting you want to apply on the time signal </li>
[[Image:Select_Filter.png|400px|none]]
<li>Select the weighting you want to apply for each direction X, Y and Z used for the indicators </li>
[[Image:Select_Process_Filt.png|400px|none]]
<li>Select the metrics you want to calculate </li>
[[Image:Select_Metric.png|400px|none]]
<li>Click on "Start Processing" </li>
[[Image:Strat_Proc.png|400px|none]]
<li>The processing is completed when a the following pop-up window appear. The results and weighted signal have added to the current NVGate project. See the next sections for details. </li>
[[Image:The_End.png|400px|none]]
</ol>

==Toolkit results==
===Time-weighted signal===
Studies of the affect of vibrations on the human body suggest that part of the body don't have the same response to vibrations, and will be sensitive to specific frequencies and transient component of vibration signal. In order to represent the sensitivity of the human boy, ISO standards defined time-weighting that must applied to the signal according to the environmental conditions. The following part present you how to apply time-weighting filters to your signal using the toolkit.
====Time-weighting filters====
As defined in the standards, specific time weighting must be applied to the acceleration signal in order to represent the effect of vibrations on health and comfort. Here is the list of the different time-weighting filters implemented in the toolkit : 
{| class="wikitable" style="margin: auto;"
|+style="caption-side:bottom;"|''Time-weighting filters''
|-
|style="height:30px; width:100px;"|<math>W_k</math>
|Time weighting for the Z axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_d</math>
|Time weighting for the X and Y axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_h</math>
|Time weighting for the hand-arms measurement in any direction (ISO 5349-1)
|-
|style="height:30px; width:100px;"|<math>W_f</math>
|Time weighting for motion sickness measurement in the vertical direction (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_c</math>
|Time weighting for the X axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_e</math>
|Time weighting for all rotational directions for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_j</math>
|Time weighting for the Z axis for head comfort measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_m</math>
|Time weighting for all directions for building's vibration comfort measurement (ISO 2651-2)
|}

Filters have been validated from 0.5 to 10kHz at 25.6kSample/second.

====Usage in the toolkit====
The toolkit allow you to calculate the filtered raw signal with any of the above weighting filters. This will allow you to display [[NVGate FFT Analyzer|spectrums]] and calculate RMS via [[NVGate_Post_Analysis|post-analysis]] in NVGate.

To calculate the raw weighted signal, simply select the filters you want in the "Time signal filters" section :

[[Image:Filter2.png]]

Once the processing is completed, a new measurement containing the filtered signal for each selected filter is created in [[NVGate Project manager|NVGate Project Manager]] :

[[Image:Filtered_Sig.png|400px]]
 
You can then load the new signals in the player as any NVGate signal. Each track of the signal is filtered with the corresponding filter. 

[[Image:Sig_In_ Player.png|800px]]

===Health and comfort indicator===
In addition to the time-weighting filters, the ISO standards present a series of specific metrics to evaluate the affect of vibrations on the Human body. The following section will present you how to use the toolkit to access these metrics.
====Indicators====

{| class="wikitable" style="margin: auto;"
|+style="caption-side:bottom;"|''Body vibration indicators''
|-
|style="height:30px; width:100px;"|<math>A_w</math>
|RMS of the weighted acceleration magnitude.
|-
|style="height:30px; width:100px;"|<math>a_v</math>
|Total RMS value calculated as a quadratic average of the three direction for each tri-axial sensor.
|-
|style="height:30px; width:100px;"|<math>A_h</math>
|RMS of the <math>W_h</math> weighted acceleration magnitude.
|-
|style="height:30px; width:100px;"|<math>Peak</math>
|Amplitude Peak of the vibration; maximal amplitude of the signal from the 0 (Calculated from Post processing in NVGate)
|-
|style="height:30px; width:100px;"|<math>Crest factor</math>
|Ratio between the Peak level and the RMS of the weighted signal(Calculated from Post processing in NVGate)
|-
|style="height:30px; width:100px;"|<math>MTVV</math>
|Maximum Transient Vibration Value, represent the maximal RMS value of the signal
|-
|style="height:30px; width:100px;"|<math>VDV</math>
|Vibration Dose Value, taking into account the temporal shocks in the signal
|-
|style="height:30px; width:100px;"|<math>MSDV</math>
|Motion Sickness Dose Value, representing the comfort in transportation measurement
|-
|style="height:30px; width:100px;"|<math>D_k</math>
|The Acceleration Dose, representing the affect of the vibration on the spine
|-
|style="height:30px; width:100px;"|<math>Se</math>
|The equivalent Static compression stress on the spine, caused by repeated shocks
|}

======Aw======

The <math>A_w</math> is the RMS of the weighted acceleration signal. The weighting is applied in accordance with the direction set for each channel and the weighting filter defined for the direction. 

For each channel, the <math>A_w</math> and <math>A_w(T)</math> will be calculated. The <math>A_w(T)</math> is the Daily exposure value, defined as : 
<math display="block" forcemathmode="5">A_w(T) = A_w*k_{i}*\sqrt{\frac{T}{T_m}}</math>
 
With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter. the <math>k_i</math> factor is defined in the ISO 2631 as <math>k_X = k_Y = 1.4</math> and <math>k_Z = 1</math>.

When comparing result from one measurement point in the three direction, the maximum of the Daily exposure value must be used as the total daily exposure value at that point : 
<math display="block" forcemathmode="5">A_w(T) = max(A_{wX}(T), A_{wY}(T), A_{wZ}(T)) </math>
 
======av======
The <math>a_v</math> is the total RMS vibration value of the weighted acceleration signal. This value will only be calculated if a sensor have been defined in the definition of direction window.

For each tri-axial sensor, the <math>a_v</math> will be calculated as a quadratic average of the weighted RMS value in the three directions : 

<math display="block" forcemathmode="5">a_v = \sqrt{{a_{vX}}^{2}*{k_{X}}^{2} + {a_{vY}}^{2}*{k_{Y}}^{2} + {a_{vZ}}^{2}*{k_{Z}}^{2}}</math> 
With <math>k_{X,Y,Z}</math> a factor defined in the ISO 2631 as <math>k_{X}=k_{Y}=1.4</math> and <math>k_{Z}=1</math>
 
======Ah======
The <math>A_h</math> is the RMS of the <math>W_h</math> weighted acceleration signal for hand-arms vibration measurement. For each channel, the <math>A_h</math> and <math>A_h(T)</math> will be calculated. The <math>A_h(T)</math> is the Daily exposure value, defined as : 

<math display="block" forcemathmode="5">A_h(T) = A_h*\sqrt{\frac{T}{T_m}}</math> 

With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter. 

If any sensor is defined, the total <math>A_h</math> and <math>A_h(T)</math> will be calculated for each sensor as a quadratic average of the three direction of the sensor : 
<math display="block" forcemathmode="5">A_{h Total} = \sqrt{{a_{hX}}^{2}*{k_{X}}^{2} + {a_{hY}}^{2}*{k_{Y}}^{2} + {a_{hZ}}^{2}*{k_{Z}}^{2}}</math>
 
and : 
 
<math display="block" forcemathmode="5">A_{h Total}(T) = \sqrt{{a_{hX}}^{2}*{k_{X}}^{2} + {a_{hY}}^{2}*{k_{Y}}^{2} + {a_{hZ}}^{2}*{k_{Z}}^{2}}*\sqrt{\frac{T}{T_m}}</math>
 
With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter, and <math>k_{X}=k_{Y}=k_{Z}=1</math>
 

======Peak======

This indicator is the [[NVGate_Time_Domain_Analysis#Available_results|peak amplitude]] of the vibration signal. It represent the maximal amplitude of the weighted signal. This indicator can be obtained in NVGate by [[NVGate Post Analysis|post-analysing]] the weighted signal with the [[NVGate Time Domain Analysis|TDA plugin of NVGate]].

======MTVV======
The MTVV is the Maximal Transient Vibration Value, is the maximum of the running RMS of the weighted acceleration. This value is calculated for each channel and is expressed in m/s².

The MTVV Tau is the integration time, expressed in seconds. This value can be edited before the calculation, but the ISO 2631 recommand to use 1 second. Therefore this is the default value of this parameter.

======VDV======
The VDV is the forth power Vibration Dose Value. It is calculated as a cumulative sum of the weighted acceleration at the forth power. The forth power is used to give more weight to the transient event of the signal over the periodic event. Therefore, this indicator must be used to asses the effect of shock on human health and comfort. The VDV is calculated for each channel and expressed in m/s^(1.75). 

If the "VDVTexp" box is checked, an evaluation of the VDV value over a longer time period will be calculated of each channel as : 
<math display="block" forcemathmode="5">VDV_{X,Y,Z}(T) = VDV_{X,Y,Z}*k_{X,Y,Z}*\sqrt[4]{\frac{T}{T_m}}</math> 

With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter, and <math>k_{X}=k_{Y}=1.4</math>, and <math>k_{Z}=1</math>
======MSDV======
This metric is the Motion Sickness Dose Value, used to evaluate the ride comfort in in-vehicle measurement. It is expressed in m.s^(1.5). 

Although this value will be calculated for each direction, only the Z-direction will have a prominent relevance to assess ride comfort.
======Dk======
<math>D_k</math> is the acceleration dose. It is use to evaluate the effect of vibrations on the human spine, and calculated as the 6th root of the sum of the peaks in the acceleration signal raised at the 6th power. it is expressed in m/s². Peaks are defined as the absolute maximum of the acceleration signal between two zeros crossing. In the Z direction, only the positive peak will be considered, were all positive and negative peaks are used for the X and Y directions. 

Specific filters are used to weight the acceleration signal before calculating the <math>D_k</math>. These filter are different for the vertical and horizontal direction, and are defined for a sampling rate of 160 Sample/second. Therefore, we advise to [[NVGate Recorder|record]] the signal with a low [[NVGate_Front_End#Input_settings|sampling rate]] in NVGate. 

Assessing the affect of the vibration on human spine most is important when dealing with transportation vehicular, especially from driver seat. for a better evaluation, the ISO 2631-5 advise to calculate the daily acceleration dose, defined as : 

<math display="block" forcemathmode="5">D_{X,Y,Z}(T) = D_{X,Y,Z}*\sqrt[6]{\frac{T}{T_m}}</math> 

This value will be calculated if the box "Dk Texp" is checked.

======Se======
The Se is the compressive stress on the human spine, expressed in MPa. It is calculated by the combination the Dk in the three direction. Therefore, it will only be calculated if sensors are defined in the "Select Direction" window. One value of Se will be calculated for each sensor by the formula : 
<math display="block" forcemathmode="5">Se = \sqrt[6]{\sum_{k=X,Y,Z}(D_{k}*m_{k})^6}</math> 

Where <math>m_{X} = 0,015</math> MPa/(m/s²), <math>m_{Y} = 0,035</math> MPa/(m/s²) and <math>m_{Z} = 0,032</math> MPa/(m/s²). 

To evaluate the lumbar stress over a daily exposition time, the Se(T) will also be calculated as : 
<math display="block" forcemathmode="5">Se(T) = \sqrt[6]{\sum_{k=X,Y,Z}(D_{k}(T)*m_{k})^6}</math> 

T being the total exposure duration represented by the "Reference time" parameter. 

====In the toolkit====
Before calculating the indicators in the toolkit, you must define a filter for each directions. Filters will be selected in accordance with the wanted result (Hand-arms; Whole-Body, ..) and the direction of the measurement as specified in the table [[Human_Vibration#Time-weighting_filters|describing the filters]]. Filters will be applied to the signal before calculating the indicators, but the time-filtered signal will not be saved. 
[[Image:proc_filt.png]]
 
You will then need to enter the reference time you want to use to estimate the parameters on a greater duration. This duration must be entered in second. The default value is 288500 second, corresponding to a 8 hours measurement: 
[[Image:Ref_Time.png]]

You will finally need to enter the MTVV Tau value. The MTVV Tau is the integration time in seconds used for the calculation of the MTVV. The ISO 2651 recommand to use 1sec. This is the default value of the setting. 

Once the filters selected and the parameters competed, you can select the metrics you want to calculate by checking the different boxes. 
[[Image:all_proc.png]] 
You can then start the processing to calculate the indicators. 

Here, we are calculating all the indicator for the "Seat_Pad_Measurement" signal. This signal contain 3 Tracks, one for each channel X, Y and Z of a three axis accelerometer. As we want to calculate the multi-axis metrics, we also define a sensor on the three tracks, called "Seat_Pas_3axis". 
[[Image:Set_up_seatPad.png|500px]]
 
Once completed, the result can be find the currently opened project in the [[NVGate Project manager]]. A new measurement called "NAME_OF_THE_Signal_out" containing the result is created. 

[[Image:ResInProjMAn2.png|300px]] 

Each indicator is calculated for each direction and for each track of the signal. The name of the result contain the name of the track, the considered direction and the filter used for that direction (except for the <math>D_k</math> which use specific filters). 
The following picture show the indicators for the first track (SeatPadX) of the signal : 
[[Image:Resut_SeatPad.png|300px]]
 
You can then display the result in NVGate by double clicking.
 
For the metrics estimated on the "Reference Time", the name the indicator is followed by "(Ref_Time_in_Second"). Here an example with the VDV metric, the name of the indicator is displayed in the window title : 
[[Image:VDV_andTexp.png|800px]]
 

The metrics combining the three directions (av, Se, Ah,...) are named as following : "METRICS_Sensor". By example here for the Se :

[[Image:Se.png|500px]]
 

==Calculating the other indicators with NVGate==
===<math>A_w</math>===
<math>A_w</math> is the daily vibration dose. It is calculated from an average of the RMS values form the weighted signal and represent the "quantity" of vibration the human body will receive when using of the tested equipment.

This value is defined as : <math>A_w = \sqrt{(k_{x}*a_{w_{x}})^2+(k_{y}*a_{w_{y}})^2+(k_{z}*a_{w_{z}})^2}</math>, with <math>k_i</math> defined in the standard and <math>a_{w_{x}}</math> the RMS value of the weighted acceleration signal in accordance to the direction, as defined in the [[Human_Vibration#Time-weighting_filters|table of the precedent section]]. 

====Calculation in NVGate====

To calculate the <math>A_w</math> in NVGate, calculmate the [[NVGate Time Domain Analysis#RMS|RMS level]] of the weighted signal in [[NVGate_Post_Analysis|Post analysis]]. Here, we will calculate the <math>A_w</math> for the SeatPad measurement as defined for a whole-body measurement in the ISO 2651. According to the [Human_Vibration#Time-weighting_filters|table]], we need to calculate the RMS level of the <math>W_k</math> weighted signal for the Z direction and the <math>W_d</math> weighted signal for the X and Y directions. You then must [[NVGate Display|display]] the three RMS level in the same window : 

[[Image:RMS.png|500px]]

===Ah and Ah(8)===
===VDV Texp===

==Practical information about measurements==

Durée de mesure
Type de mesure
Placement des capteurs
Exemple de capteur : [[https://www.dytran.com/Search/?searchText=seat+pad|Seat Pad accelerometer]]
Capteur avec adaptateurs hand arms

File:Se.png

2020-12-07T16:54:47Z

NIcolasAegerter: File uploaded with MsUpload

File uploaded with MsUpload

Human Vibration

2020-12-07T16:36:32Z

NIcolasAegerter: /* Health and comfort indicator */

The OROS Body Vibration tool allow you to evaluate the affect of vibration on the human body according to standards ISO 2651 and ISO 5349. These standard define measurement practice and vibration signal analysis to evaluate the affect on health and and comfort of environmental and equipment vibrations on the Human body. 

The ISO 2651 describe the affect on health and comfort of vibration on the whole-body in transportation system, and the ISO 5349 the affect on health of vibration on hands and arms when manipulating machine-tools or vibrating objects. In the following, we will see how to use OROS to evaluate these effect. 
 
This is a post analysis toolkit, operating alongside NVGate after the recording of the signal and will help you to calculate time-weighted signal of acceleration and specific indicators both defined in the standards. 
[[Image:OROS_BodyVib2.png|800px|none]]
 
==Download & install==
Download the program here (version from 03/12/2020) :
https://orossas.sharepoint.com/:u:/g/support/EXCVJE_bLGZMgHg1mr4p1hwB5ICqdqKBXTK3kH9stxozKg?e=UJg72W

Once downloaded, you can unzip the folder and lunch the installer program Setup_OROS_BodyVibration_Tool_vXX.exe. Follow the step of the program to properly install the software. 

The program will be installed in "C:\OROS\Programs\ExternalTools". Shortcuts are created on the main desktop, in the Windows Start program and in the "Link" repertory of NVGate. By that way you can directly run the program from NVGate.

==How to use==

<ol>
<li>Launch NVGate </li>
<li>Launch OROS_BodyVibration_Tool.exe </li>
<li>Open a project in NVGate </li>

[[File:Open_Proj.png]]
 
<li>In the tool, Click on list measurement to list all the measurement present in the project (only the measurement where the signal files are actually on the disk will be displayed. Ensure you have [[NVGate_Project_manager#Uploading.2FDownloading|downloaded signal from the OR3X disk]]) </li>
[[Image:List_Meas.png|400px|none]]
<li>Add the measurement you want to analyse in the "selected list" area using the ">>" button. Use the "<<" button to remove file if needed. </li>
[[Image:Add_Rmv.png|400px|none]]
<li>Click on "Select Directions" to set the direction and sensor for each channel (This step is not necessary if you only want the time-weighted signals). </li>
[[Image:Select_DOF.png|400px|none]]
<li>Select the weighting you want to apply on the time signal </li>
[[Image:Select_Filter.png|400px|none]]
<li>Select the weighting you want to apply for each direction X, Y and Z used for the indicators </li>
[[Image:Select_Process_Filt.png|400px|none]]
<li>Select the metrics you want to calculate </li>
[[Image:Select_Metric.png|400px|none]]
<li>Click on "Start Processing" </li>
[[Image:Strat_Proc.png|400px|none]]
<li>The processing is completed when a the following pop-up window appear. The results and weighted signal have added to the current NVGate project. See the next sections for details. </li>
[[Image:The_End.png|400px|none]]
</ol>

==Toolkit results==
===Time-weighted signal===
Studies of the affect of vibrations on the human body suggest that part of the body don't have the same response to vibrations, and will be sensitive to specific frequencies and transient component of vibration signal. In order to represent the sensitivity of the human boy, ISO standards defined time-weighting that must applied to the signal according to the environmental conditions. The following part present you how to apply time-weighting filters to your signal using the toolkit.
====Time-weighting filters====
As defined in the standards, specific time weighting must be applied to the acceleration signal in order to represent the effect of vibrations on health and comfort. Here is the list of the different time-weighting filters implemented in the toolkit : 
{| class="wikitable" style="margin: auto;"
|+style="caption-side:bottom;"|''Time-weighting filters''
|-
|style="height:30px; width:100px;"|<math>W_k</math>
|Time weighting for the Z axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_d</math>
|Time weighting for the X and Y axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_h</math>
|Time weighting for the hand-arms measurement in any direction (ISO 5349-1)
|-
|style="height:30px; width:100px;"|<math>W_f</math>
|Time weighting for motion sickness measurement in the vertical direction (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_c</math>
|Time weighting for the X axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_e</math>
|Time weighting for all rotational directions for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_j</math>
|Time weighting for the Z axis for head comfort measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_m</math>
|Time weighting for all directions for building's vibration comfort measurement (ISO 2651-2)
|}

Filters have been validated from 0.5 to 10kHz at 25.6kSample/second.

====Usage in the toolkit====
The toolkit allow you to calculate the filtered raw signal with any of the above weighting filters. This will allow you to display [[NVGate FFT Analyzer|spectrums]] and calculate RMS via [[NVGate_Post_Analysis|post-analysis]] in NVGate.

To calculate the raw weighted signal, simply select the filters you want in the "Time signal filters" section :

[[Image:Filter2.png]]

Once the processing is completed, a new measurement containing the filtered signal for each selected filter is created in [[NVGate Project manager|NVGate Project Manager]] :

[[Image:Filtered_Sig.png|400px]]
 
You can then load the new signals in the player as any NVGate signal. Each track of the signal is filtered with the corresponding filter. 

[[Image:Sig_In_ Player.png|800px]]

===Health and comfort indicator===
In addition to the time-weighting filters, the ISO standards present a series of specific metrics to evaluate the affect of vibrations on the Human body. The following section will present you how to use the toolkit to access these metrics.
====Indicators====

{| class="wikitable" style="margin: auto;"
|+style="caption-side:bottom;"|''Body vibration indicators''
|-
|style="height:30px; width:100px;"|<math>A_w</math>
|RMS of the weighted acceleration magnitude.
|-
|style="height:30px; width:100px;"|<math>a_v</math>
|Total RMS value calculated as a quadratic average of the three direction for each tri-axial sensor.
|-
|style="height:30px; width:100px;"|<math>A_h</math>
|RMS of the <math>W_h</math> weighted acceleration magnitude.
|-
|style="height:30px; width:100px;"|<math>Peak</math>
|Amplitude Peak of the vibration; maximal amplitude of the signal from the 0 (Calculated from Post processing in NVGate)
|-
|style="height:30px; width:100px;"|<math>Crest factor</math>
|Ratio between the Peak level and the RMS of the weighted signal(Calculated from Post processing in NVGate)
|-
|style="height:30px; width:100px;"|<math>MTVV</math>
|Maximum Transient Vibration Value, represent the maximal RMS value of the signal
|-
|style="height:30px; width:100px;"|<math>VDV</math>
|Vibration Dose Value, taking into account the temporal shocks in the signal
|-
|style="height:30px; width:100px;"|<math>MSDV</math>
|Motion Sickness Dose Value, representing the comfort in transportation measurement
|-
|style="height:30px; width:100px;"|<math>D_k</math>
|The Acceleration Dose, representing the affect of the vibration on the spine
|-
|style="height:30px; width:100px;"|<math>Se</math>
|The equivalent Static compression stress on the spine, caused by repeated shocks
|}

======Aw======

The <math>A_w</math> is the RMS of the weighted acceleration signal. The weighting is applied in accordance with the direction set for each channel and the weighting filter defined for the direction. 

For each channel, the <math>A_w</math> and <math>A_w(T)</math> will be calculated. The <math>A_w(T)</math> is the Daily exposure value, defined as : 
<math display="block" forcemathmode="5">A_w(T) = A_w*k_{i}*\sqrt{\frac{T}{T_m}}</math>
 
With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter. the <math>k_i</math> factor is defined in the ISO 2631 as <math>k_X = k_Y = 1.4</math> and <math>k_Z = 1</math>.

When comparing result from one measurement point in the three direction, the maximum of the Daily exposure value must be used as the total daily exposure value at that point : 
<math display="block" forcemathmode="5">A_w(T) = max(A_{wX}(T), A_{wY}(T), A_{wZ}(T)) </math>
 
======av======
The <math>a_v</math> is the total RMS vibration value of the weighted acceleration signal. This value will only be calculated if a sensor have been defined in the definition of direction window.

For each tri-axial sensor, the <math>a_v</math> will be calculated as a quadratic average of the weighted RMS value in the three directions : 

<math display="block" forcemathmode="5">a_v = \sqrt{{a_{vX}}^{2}*{k_{X}}^{2} + {a_{vY}}^{2}*{k_{Y}}^{2} + {a_{vZ}}^{2}*{k_{Z}}^{2}}</math> 
With <math>k_{X,Y,Z}</math> a factor defined in the ISO 2631 as <math>k_{X}=k_{Y}=1.4</math> and <math>k_{Z}=1</math>
 
======Ah======
The <math>A_h</math> is the RMS of the <math>W_h</math> weighted acceleration signal for hand-arms vibration measurement. For each channel, the <math>A_h</math> and <math>A_h(T)</math> will be calculated. The <math>A_h(T)</math> is the Daily exposure value, defined as : 

<math display="block" forcemathmode="5">A_h(T) = A_h*\sqrt{\frac{T}{T_m}}</math> 

With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter. 

If any sensor is defined, the total <math>A_h</math> and <math>A_h(T)</math> will be calculated for each sensor as a quadratic average of the three direction of the sensor : 
<math display="block" forcemathmode="5">A_{h Total} = \sqrt{{a_{hX}}^{2}*{k_{X}}^{2} + {a_{hY}}^{2}*{k_{Y}}^{2} + {a_{hZ}}^{2}*{k_{Z}}^{2}}</math>
 
and : 
 
<math display="block" forcemathmode="5">A_{h Total}(T) = \sqrt{{a_{hX}}^{2}*{k_{X}}^{2} + {a_{hY}}^{2}*{k_{Y}}^{2} + {a_{hZ}}^{2}*{k_{Z}}^{2}}*\sqrt{\frac{T}{T_m}}</math>
 
With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter, and <math>k_{X}=k_{Y}=k_{Z}=1</math>
 

======Peak======

This indicator is the [[NVGate_Time_Domain_Analysis#Available_results|peak amplitude]] of the vibration signal. It represent the maximal amplitude of the weighted signal. This indicator can be obtained in NVGate by [[NVGate Post Analysis|post-analysing]] the weighted signal with the [[NVGate Time Domain Analysis|TDA plugin of NVGate]].

======MTVV======
The MTVV is the Maximal Transient Vibration Value, is the maximum of the running RMS of the weighted acceleration. This value is calculated for each channel and is expressed in m/s².

The MTVV Tau is the integration time, expressed in seconds. This value can be edited before the calculation, but the ISO 2631 recommand to use 1 second. Therefore this is the default value of this parameter.

======VDV======
The VDV is the forth power Vibration Dose Value. It is calculated as a cumulative sum of the weighted acceleration at the forth power. The forth power is used to give more weight to the transient event of the signal over the periodic event. Therefore, this indicator must be used to asses the effect of shock on human health and comfort. The VDV is calculated for each channel and expressed in m/s^(1.75). 

If the "VDVTexp" box is checked, an evaluation of the VDV value over a longer time period will be calculated of each channel as : 
<math display="block" forcemathmode="5">VDV_{X,Y,Z}(T) = VDV_{X,Y,Z}*k_{X,Y,Z}*\sqrt[4]{\frac{T}{T_m}}</math> 

With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter, and <math>k_{X}=k_{Y}=1.4</math>, and <math>k_{Z}=1</math>
======MSDV======
This metric is the Motion Sickness Dose Value, used to evaluate the ride comfort in in-vehicle measurement. It is expressed in m.s^(1.5). 

Although this value will be calculated for each direction, only the Z-direction will have a prominent relevance to assess ride comfort.
======Dk======
<math>D_k</math> is the acceleration dose. It is use to evaluate the effect of vibrations on the human spine, and calculated as the 6th root of the sum of the peaks in the acceleration signal raised at the 6th power. it is expressed in m/s². Peaks are defined as the absolute maximum of the acceleration signal between two zeros crossing. In the Z direction, only the positive peak will be considered, were all positive and negative peaks are used for the X and Y directions. 

Specific filters are used to weight the acceleration signal before calculating the <math>D_k</math>. These filter are different for the vertical and horizontal direction, and are defined for a sampling rate of 160 Sample/second. Therefore, we advise to [[NVGate Recorder|record]] the signal with a low [[NVGate_Front_End#Input_settings|sampling rate]] in NVGate. 

Assessing the affect of the vibration on human spine most is important when dealing with transportation vehicular, especially from driver seat. for a better evaluation, the ISO 2631-5 advise to calculate the daily acceleration dose, defined as : 

<math display="block" forcemathmode="5">D_{X,Y,Z}(T) = D_{X,Y,Z}*\sqrt[6]{\frac{T}{T_m}}</math> 

This value will be calculated if the box "Dk Texp" is checked.

======Se======
The Se is the compressive stress on the human spine, expressed in MPa. It is calculated by the combination the Dk in the three direction. Therefore, it will only be calculated if sensors are defined in the "Select Direction" window. One value of Se will be calculated for each sensor by the formula : 
<math display="block" forcemathmode="5">Se = \sqrt[6]{\sum_{k=X,Y,Z}(D_{k}*m_{k})^6}</math> 

Where <math>m_{X} = 0,015</math> MPa/(m/s²), <math>m_{Y} = 0,035</math> MPa/(m/s²) and <math>m_{Z} = 0,032</math> MPa/(m/s²). 

To evaluate the lumbar stress over a daily exposition time, the Se(T) will also be calculated as : 
<math display="block" forcemathmode="5">Se(T) = \sqrt[6]{\sum_{k=X,Y,Z}(D_{k}(T)*m_{k})^6}</math> 

T being the total exposure duration represented by the "Reference time" parameter. 

====In the toolkit====
Before calculating the indicators in the toolkit, you must define a filter for each directions. Filters will be selected in accordance with the wanted result (Hand-arms; Whole-Body, ..) and the direction of the measurement as specified in the table [[Human_Vibration#Time-weighting_filters|describing the filters]]. Filters will be applied to the signal before calculating the indicators, but the time-filtered signal will not be saved. 
[[Image:proc_filt.png]]
 
You will then need to enter the reference time you want to use to estimate the parameters on a greater duration. This duration must be entered in second. The default value is 288500 second, corresponding to a 8 hours measurement: 
[[Image:Ref_Time.png]]

You will finally need to enter the MTVV Tau value. The MTVV Tau is the integration time in seconds used for the calculation of the MTVV. The ISO 2651 recommand to use 1sec. This is the default value of the setting. 

Once the filters selected and the parameters competed, you can select the metrics you want to calculate by checking the different boxes. 
[[Image:all_proc.png]] 
You can then start the processing to calculate the indicators. 

Here, we are calculating all the indicator for the "Seat_Pad_Measurement" signal. This signal contain 3 Tracks, one for each channel X, Y and Z of a three axis accelerometer. As we want to calculate the multi-axis metrics, we also define a sensor on the three tracks, called "Seat_Pas_3axis". 
[[Image:Set_up_seatPad.png|500px]]
 
Once completed, the result can be find the currently opened project in the [[NVGate Project manager]]. A new measurement called "NAME_OF_THE_Signal_out" containing the result is created. 

[[Image:ResInProjMAn2.png|300px]] 

Each indicator is calculated for each direction and for each track of the signal. The name of the result contain the name of the track, the considered direction and the filter used for that direction (except for the <math>D_k</math> which use specific filters). 
The following picture show the indicators for the first track (SeatPadX) of the signal : 
[[Image:Resut_SeatPad.png|300px]]
 
You can then display the result in NVGate by double clicking.
 
For the metrics estimated on the "Reference Time", the name the indicator is followed by "(Ref_Time_in_Second"). Here an example with the VDV metric, the name of the indicator is displayed in the window title : 
[[Image:VDV_andTexp.png|500px]]
 

==Calculating the other indicators with NVGate==
===<math>A_w</math>===
<math>A_w</math> is the daily vibration dose. It is calculated from an average of the RMS values form the weighted signal and represent the "quantity" of vibration the human body will receive when using of the tested equipment.

This value is defined as : <math>A_w = \sqrt{(k_{x}*a_{w_{x}})^2+(k_{y}*a_{w_{y}})^2+(k_{z}*a_{w_{z}})^2}</math>, with <math>k_i</math> defined in the standard and <math>a_{w_{x}}</math> the RMS value of the weighted acceleration signal in accordance to the direction, as defined in the [[Human_Vibration#Time-weighting_filters|table of the precedent section]]. 

====Calculation in NVGate====

To calculate the <math>A_w</math> in NVGate, calculmate the [[NVGate Time Domain Analysis#RMS|RMS level]] of the weighted signal in [[NVGate_Post_Analysis|Post analysis]]. Here, we will calculate the <math>A_w</math> for the SeatPad measurement as defined for a whole-body measurement in the ISO 2651. According to the [Human_Vibration#Time-weighting_filters|table]], we need to calculate the RMS level of the <math>W_k</math> weighted signal for the Z direction and the <math>W_d</math> weighted signal for the X and Y directions. You then must [[NVGate Display|display]] the three RMS level in the same window : 

[[Image:RMS.png|500px]]

===Ah and Ah(8)===
===VDV Texp===

==Practical information about measurements==

Durée de mesure
Type de mesure
Placement des capteurs
Exemple de capteur : [[https://www.dytran.com/Search/?searchText=seat+pad|Seat Pad accelerometer]]
Capteur avec adaptateurs hand arms

Human Vibration

2020-12-07T16:29:07Z

NIcolasAegerter:

The OROS Body Vibration tool allow you to evaluate the affect of vibration on the human body according to standards ISO 2651 and ISO 5349. These standard define measurement practice and vibration signal analysis to evaluate the affect on health and and comfort of environmental and equipment vibrations on the Human body. 

The ISO 2651 describe the affect on health and comfort of vibration on the whole-body in transportation system, and the ISO 5349 the affect on health of vibration on hands and arms when manipulating machine-tools or vibrating objects. In the following, we will see how to use OROS to evaluate these effect. 
 
This is a post analysis toolkit, operating alongside NVGate after the recording of the signal and will help you to calculate time-weighted signal of acceleration and specific indicators both defined in the standards. 
[[Image:OROS_BodyVib2.png|800px|none]]
 
==Download & install==
Download the program here (version from 03/12/2020) :
https://orossas.sharepoint.com/:u:/g/support/EXCVJE_bLGZMgHg1mr4p1hwB5ICqdqKBXTK3kH9stxozKg?e=UJg72W

Once downloaded, you can unzip the folder and lunch the installer program Setup_OROS_BodyVibration_Tool_vXX.exe. Follow the step of the program to properly install the software. 

The program will be installed in "C:\OROS\Programs\ExternalTools". Shortcuts are created on the main desktop, in the Windows Start program and in the "Link" repertory of NVGate. By that way you can directly run the program from NVGate.

==How to use==

<ol>
<li>Launch NVGate </li>
<li>Launch OROS_BodyVibration_Tool.exe </li>
<li>Open a project in NVGate </li>

[[File:Open_Proj.png]]
 
<li>In the tool, Click on list measurement to list all the measurement present in the project (only the measurement where the signal files are actually on the disk will be displayed. Ensure you have [[NVGate_Project_manager#Uploading.2FDownloading|downloaded signal from the OR3X disk]]) </li>
[[Image:List_Meas.png|400px|none]]
<li>Add the measurement you want to analyse in the "selected list" area using the ">>" button. Use the "<<" button to remove file if needed. </li>
[[Image:Add_Rmv.png|400px|none]]
<li>Click on "Select Directions" to set the direction and sensor for each channel (This step is not necessary if you only want the time-weighted signals). </li>
[[Image:Select_DOF.png|400px|none]]
<li>Select the weighting you want to apply on the time signal </li>
[[Image:Select_Filter.png|400px|none]]
<li>Select the weighting you want to apply for each direction X, Y and Z used for the indicators </li>
[[Image:Select_Process_Filt.png|400px|none]]
<li>Select the metrics you want to calculate </li>
[[Image:Select_Metric.png|400px|none]]
<li>Click on "Start Processing" </li>
[[Image:Strat_Proc.png|400px|none]]
<li>The processing is completed when a the following pop-up window appear. The results and weighted signal have added to the current NVGate project. See the next sections for details. </li>
[[Image:The_End.png|400px|none]]
</ol>

==Toolkit results==
===Time-weighted signal===
Studies of the affect of vibrations on the human body suggest that part of the body don't have the same response to vibrations, and will be sensitive to specific frequencies and transient component of vibration signal. In order to represent the sensitivity of the human boy, ISO standards defined time-weighting that must applied to the signal according to the environmental conditions. The following part present you how to apply time-weighting filters to your signal using the toolkit.
====Time-weighting filters====
As defined in the standards, specific time weighting must be applied to the acceleration signal in order to represent the effect of vibrations on health and comfort. Here is the list of the different time-weighting filters implemented in the toolkit : 
{| class="wikitable" style="margin: auto;"
|+style="caption-side:bottom;"|''Time-weighting filters''
|-
|style="height:30px; width:100px;"|<math>W_k</math>
|Time weighting for the Z axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_d</math>
|Time weighting for the X and Y axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_h</math>
|Time weighting for the hand-arms measurement in any direction (ISO 5349-1)
|-
|style="height:30px; width:100px;"|<math>W_f</math>
|Time weighting for motion sickness measurement in the vertical direction (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_c</math>
|Time weighting for the X axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_e</math>
|Time weighting for all rotational directions for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_j</math>
|Time weighting for the Z axis for head comfort measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_m</math>
|Time weighting for all directions for building's vibration comfort measurement (ISO 2651-2)
|}

Filters have been validated from 0.5 to 10kHz at 25.6kSample/second.

====Usage in the toolkit====
The toolkit allow you to calculate the filtered raw signal with any of the above weighting filters. This will allow you to display [[NVGate FFT Analyzer|spectrums]] and calculate RMS via [[NVGate_Post_Analysis|post-analysis]] in NVGate.

To calculate the raw weighted signal, simply select the filters you want in the "Time signal filters" section :

[[Image:Filter2.png]]

Once the processing is completed, a new measurement containing the filtered signal for each selected filter is created in [[NVGate Project manager|NVGate Project Manager]] :

[[Image:Filtered_Sig.png|400px]]
 
You can then load the new signals in the player as any NVGate signal. Each track of the signal is filtered with the corresponding filter. 

[[Image:Sig_In_ Player.png|800px]]

===Health and comfort indicator===
In addition to the time-weighting filters, the ISO standards present a series of specific metrics to evaluate the affect of vibrations on the Human body. The following section will present you how to use the toolkit to access these metrics.
====Indicators====

{| class="wikitable" style="margin: auto;"
|+style="caption-side:bottom;"|''Body vibration indicators''
|-
|style="height:30px; width:100px;"|<math>A_w</math>
|RMS of the weighted acceleration magnitude.
|-
|style="height:30px; width:100px;"|<math>a_v</math>
|Total RMS value calculated as a quadratic average of the three direction for each tri-axial sensor.
|-
|style="height:30px; width:100px;"|<math>A_h</math>
|RMS of the <math>W_h</math> weighted acceleration magnitude.
|-
|style="height:30px; width:100px;"|<math>Peak</math>
|Amplitude Peak of the vibration; maximal amplitude of the signal from the 0 (Calculated from Post processing in NVGate)
|-
|style="height:30px; width:100px;"|<math>Crest factor</math>
|Ratio between the Peak level and the RMS of the weighted signal(Calculated from Post processing in NVGate)
|-
|style="height:30px; width:100px;"|<math>MTVV</math>
|Maximum Transient Vibration Value, represent the maximal RMS value of the signal
|-
|style="height:30px; width:100px;"|<math>VDV</math>
|Vibration Dose Value, taking into account the temporal shocks in the signal
|-
|style="height:30px; width:100px;"|<math>MSDV</math>
|Motion Sickness Dose Value, representing the comfort in transportation measurement
|-
|style="height:30px; width:100px;"|<math>D_k</math>
|The Acceleration Dose, representing the affect of the vibration on the spine
|-
|style="height:30px; width:100px;"|<math>Se</math>
|The equivalent Static compression stress on the spine, caused by repeated shocks
|}

======Aw======

The <math>A_w</math> is the RMS of the weighted acceleration signal. The weighting is applied in accordance with the direction set for each channel and the weighting filter defined for the direction. 

For each channel, the <math>A_w</math> and <math>A_w(T)</math> will be calculated. The <math>A_w(T)</math> is the Daily exposure value, defined as : 
<math display="block" forcemathmode="5">A_w(T) = A_w*k_{i}*\sqrt{\frac{T}{T_m}}</math>
 
With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter. the <math>k_i</math> factor is defined in the ISO 2631 as <math>k_X = k_Y = 1.4</math> and <math>k_Z = 1</math>.

When comparing result from one measurement point in the three direction, the maximum of the Daily exposure value must be used as the total daily exposure value at that point : 
<math display="block" forcemathmode="5">A_w(T) = max(A_{wX}(T), A_{wY}(T), A_{wZ}(T)) </math>
 
======av======
The <math>a_v</math> is the total RMS vibration value of the weighted acceleration signal. This value will only be calculated if a sensor have been defined in the definition of direction window.

For each tri-axial sensor, the <math>a_v</math> will be calculated as a quadratic average of the weighted RMS value in the three directions : 

<math display="block" forcemathmode="5">a_v = \sqrt{{a_{vX}}^{2}*{k_{X}}^{2} + {a_{vY}}^{2}*{k_{Y}}^{2} + {a_{vZ}}^{2}*{k_{Z}}^{2}}</math> 
With <math>k_{X,Y,Z}</math> a factor defined in the ISO 2631 as <math>k_{X}=k_{Y}=1.4</math> and <math>k_{Z}=1</math>
 
======Ah======
The <math>A_h</math> is the RMS of the <math>W_h</math> weighted acceleration signal for hand-arms vibration measurement. For each channel, the <math>A_h</math> and <math>A_h(T)</math> will be calculated. The <math>A_h(T)</math> is the Daily exposure value, defined as : 

<math display="block" forcemathmode="5">A_h(T) = A_h*\sqrt{\frac{T}{T_m}}</math> 

With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter. 

If any sensor is defined, the total <math>A_h</math> and <math>A_h(T)</math> will be calculated for each sensor as a quadratic average of the three direction of the sensor : 
<math display="block" forcemathmode="5">A_{h Total} = \sqrt{{a_{hX}}^{2}*{k_{X}}^{2} + {a_{hY}}^{2}*{k_{Y}}^{2} + {a_{hZ}}^{2}*{k_{Z}}^{2}}</math>
 
and : 
 
<math display="block" forcemathmode="5">A_{h Total}(T) = \sqrt{{a_{hX}}^{2}*{k_{X}}^{2} + {a_{hY}}^{2}*{k_{Y}}^{2} + {a_{hZ}}^{2}*{k_{Z}}^{2}}*\sqrt{\frac{T}{T_m}}</math>
 
With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter, and <math>k_{X}=k_{Y}=k_{Z}=1</math>
 

======Peak======

This indicator is the [[NVGate_Time_Domain_Analysis#Available_results|peak amplitude]] of the vibration signal. It represent the maximal amplitude of the weighted signal. This indicator can be obtained in NVGate by [[NVGate Post Analysis|post-analysing]] the weighted signal with the [[NVGate Time Domain Analysis|TDA plugin of NVGate]].

======MTVV======
The MTVV is the Maximal Transient Vibration Value, is the maximum of the running RMS of the weighted acceleration. This value is calculated for each channel and is expressed in m/s².

The MTVV Tau is the integration time, expressed in seconds. This value can be edited before the calculation, but the ISO 2631 recommand to use 1 second. Therefore this is the default value of this parameter.

======VDV======
The VDV is the forth power Vibration Dose Value. It is calculated as a cumulative sum of the weighted acceleration at the forth power. The forth power is used to give more weight to the transient event of the signal over the periodic event. Therefore, this indicator must be used to asses the effect of shock on human health and comfort. The VDV is calculated for each channel and expressed in m/s^(1.75). 

If the "VDVTexp" box is checked, an evaluation of the VDV value over a longer time period will be calculated of each channel as : 
<math display="block" forcemathmode="5">VDV_{X,Y,Z}(T) = VDV_{X,Y,Z}*k_{X,Y,Z}*\sqrt[4]{\frac{T}{T_m}}</math> 

With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter, and <math>k_{X}=k_{Y}=1.4</math>, and <math>k_{Z}=1</math>
======MSDV======
This metric is the Motion Sickness Dose Value, used to evaluate the ride comfort in in-vehicle measurement. It is expressed in m.s^(1.5). 

Although this value will be calculated for each direction, only the Z-direction will have a prominent relevance to assess ride comfort.
======Dk======
<math>D_k</math> is the acceleration dose. It is use to evaluate the effect of vibrations on the human spine, and calculated as the 6th root of the sum of the peaks in the acceleration signal raised at the 6th power. it is expressed in m/s². Peaks are defined as the absolute maximum of the acceleration signal between two zeros crossing. In the Z direction, only the positive peak will be considered, were all positive and negative peaks are used for the X and Y directions. 

Specific filters are used to weight the acceleration signal before calculating the <math>D_k</math>. These filter are different for the vertical and horizontal direction, and are defined for a sampling rate of 160 Sample/second. Therefore, we advise to [[NVGate Recorder|record]] the signal with a low [[NVGate_Front_End#Input_settings|sampling rate]] in NVGate. 

Assessing the affect of the vibration on human spine most is important when dealing with transportation vehicular, especially from driver seat. for a better evaluation, the ISO 2631-5 advise to calculate the daily acceleration dose, defined as : 

<math display="block" forcemathmode="5">D_{X,Y,Z}(T) = D_{X,Y,Z}*\sqrt[6]{\frac{T}{T_m}}</math> 

This value will be calculated if the box "Dk Texp" is checked.

======Se======
The Se is the compressive stress on the human spine, expressed in MPa. It is calculated by the combination the Dk in the three direction. Therefore, it will only be calculated if sensors are defined in the "Select Direction" window. One value of Se will be calculated for each sensor by the formula : 
<math display="block" forcemathmode="5">Se = \sqrt[6]{\sum_{k=X,Y,Z}(D_{k}*m_{k})^6}</math> 

Where <math>m_{X} = 0,015</math> MPa/(m/s²), <math>m_{Y} = 0,035</math> MPa/(m/s²) and <math>m_{Z} = 0,032</math> MPa/(m/s²). 

To evaluate the lumbar stress over a daily exposition time, the Se(T) will also be calculated as : 
<math display="block" forcemathmode="5">Se(T) = \sqrt[6]{\sum_{k=X,Y,Z}(D_{k}(T)*m_{k})^6}</math> 

T being the total exposure duration represented by the "Reference time" parameter. 

====In the toolkit====
Before calculating the indicators in the toolkit, you must define a filter for each directions. Filters will be selected in accordance with the wanted result (Hand-arms; Whole-Body, ..) and the direction of the measurement as specified in the table [[Human_Vibration#Time-weighting_filters|describing the filters]]. Filters will be applied to the signal before calculating the indicators, but the time-filtered signal will not be saved. 
[[Image:proc_filt.png|500px]]
 
You will then need to enter the reference time you want to use to estimate the parameters on a greater duration. This duration must be entered in second. The default value is 288500 second, corresponding to a 8 hours measurement: 
[[Image:Ref_Time.png|500px]]

You will finally need to enter the MTVV Tau value. The MTVV Tau is the integration time in seconds used for the calculation of the MTVV. The ISO 2651 recommand to use 1sec. This is the default value of the setting. 

Once the filters selected and the parameters competed, you can select the metrics you want to calculate by checking the different boxes. 
[[Image:all_proc.png|500px]] 
You can then start the processing to calculate the indicators. 

Here, we are calculating all the indicator for the "Seat_Pad_Measurement" signal. This signal contain 3 Tracks, one for each channel X, Y and Z of a three axis accelerometer. As we want to calculate the multi-axis metrics, we also define a sensor on the three tracks, called "Seat_Pas_3axis". 
[[Image:Set_up_seatPad.png|500px]]
 
Once completed, the result can be find the currently opened project in the [[NVGate Project manager]]. A new measurement called "NAME_OF_THE_Signal_out" containing the result is created. 

[[Image:ResInProjMAn2.png|500px]] 

Each indicator is calculated for each direction and for each track of the signal. The name of the result contain the name of the track, the considered direction and the filter used for that direction (except for the <math>D_k</math> which use specific filters). 
The following picture show the indicators for the first track (SeatPadX) of the signal : 
[[Image:Resut_SeatPad.png|500px]]
 
You can then display the result in NVGate by double clicking.
 
For the metrics estimated on the "Reference Time", the name the indicator is followed by "(Ref_Time_in_Second"). Here an example with the VDV metric, the name of the indicator is displayed in the window title : 
[[Image:VDV_andTexp.png|500px]]
 
==Calculating the other indicators with NVGate==
===<math>A_w</math>===
<math>A_w</math> is the daily vibration dose. It is calculated from an average of the RMS values form the weighted signal and represent the "quantity" of vibration the human body will receive when using of the tested equipment.

This value is defined as : <math>A_w = \sqrt{(k_{x}*a_{w_{x}})^2+(k_{y}*a_{w_{y}})^2+(k_{z}*a_{w_{z}})^2}</math>, with <math>k_i</math> defined in the standard and <math>a_{w_{x}}</math> the RMS value of the weighted acceleration signal in accordance to the direction, as defined in the [[Human_Vibration#Time-weighting_filters|table of the precedent section]]. 

====Calculation in NVGate====

To calculate the <math>A_w</math> in NVGate, calculmate the [[NVGate Time Domain Analysis#RMS|RMS level]] of the weighted signal in [[NVGate_Post_Analysis|Post analysis]]. Here, we will calculate the <math>A_w</math> for the SeatPad measurement as defined for a whole-body measurement in the ISO 2651. According to the [Human_Vibration#Time-weighting_filters|table]], we need to calculate the RMS level of the <math>W_k</math> weighted signal for the Z direction and the <math>W_d</math> weighted signal for the X and Y directions. You then must [[NVGate Display|display]] the three RMS level in the same window : 

[[Image:RMS.png|500px]]

===Ah and Ah(8)===
===VDV Texp===

==Practical information about measurements==

Durée de mesure
Type de mesure
Placement des capteurs
Exemple de capteur : [[https://www.dytran.com/Search/?searchText=seat+pad|Seat Pad accelerometer]]
Capteur avec adaptateurs hand arms

Human Vibration

2020-12-07T16:16:41Z

NIcolasAegerter: /* In the toolkit */

The OROS Body Vibration tool allow you to evaluate the affect of vibration on the human body according to standards ISO 2651 and ISO 5349. These standard define measurement practice and vibration signal analysis to evaluate the affect on health and and comfort of environmental and equipment vibrations on the Human body. 

The ISO 2651 describe the affect on health and comfort of vibration on the whole-body in transportation system, and the ISO 5349 the affect on health of vibration on hands and arms when manipulating machine-tools or vibrating objects. In the following, we will see how to use OROS to evaluate these effect. 
 
This is a post analysis toolkit, operating alongside NVGate after the recording of the signal and will help you to calculate time-weighted signal of acceleration and specific indicators both defined in the standards. 
[[Image:OROS_BodyVib2.png|800px|none]]
 
==Download & install==
Download the program here (version from 03/12/2020) :
https://orossas.sharepoint.com/:u:/g/support/EXCVJE_bLGZMgHg1mr4p1hwB5ICqdqKBXTK3kH9stxozKg?e=UJg72W

Once downloaded, you can unzip the folder and lunch the installer program Setup_OROS_BodyVibration_Tool_vXX.exe. Follow the step of the program to properly install the software. 

The program will be installed in "C:\OROS\Programs\ExternalTools". Shortcuts are created on the main desktop, in the Windows Start program and in the "Link" repertory of NVGate. By that way you can directly run the program from NVGate.

==How to use==

<ol>
<li>Launch NVGate </li>
<li>Launch OROS_BodyVibration_Tool.exe </li>
<li>Open a project in NVGate </li>

[[File:Open_Proj.png]]
 
<li>In the tool, Click on list measurement to list all the measurement present in the project (only the measurement where the signal files are actually on the disk will be displayed. Ensure you have [[NVGate_Project_manager#Uploading.2FDownloading|downloaded signal from the OR3X disk]]) </li>
[[Image:List_Meas.png|400px|none]]
<li>Add the measurement you want to analyse in the "selected list" area using the ">>" button. Use the "<<" button to remove file if needed. </li>
[[Image:Add_Rmv.png|400px|none]]
<li>Click on "Select Directions" to set the direction and sensor for each channel (This step is not necessary if you only want the time-weighted signals). </li>
[[Image:Select_DOF.png|400px|none]]
<li>Select the weighting you want to apply on the time signal </li>
[[Image:Select_Filter.png|400px|none]]
<li>Select the weighting you want to apply for each direction X, Y and Z used for the indicators </li>
[[Image:Select_Process_Filt.png|400px|none]]
<li>Select the metrics you want to calculate </li>
[[Image:Select_Metric.png|400px|none]]
<li>Click on "Start Processing" </li>
[[Image:Strat_Proc.png|400px|none]]
<li>The processing is completed when a the following pop-up window appear. The results and weighted signal have added to the current NVGate project. See the next sections for details. </li>
[[Image:The_End.png|400px|none]]
</ol>

==Toolkit results==
===Time-weighted signal===
Studies of the affect of vibrations on the human body suggest that part of the body don't have the same response to vibrations, and will be sensitive to specific frequencies and transient component of vibration signal. In order to represent the sensitivity of the human boy, ISO standards defined time-weighting that must applied to the signal according to the environmental conditions. The following part present you how to apply time-weighting filters to your signal using the toolkit.
====Time-weighting filters====
As defined in the standards, specific time weighting must be applied to the acceleration signal in order to represent the effect of vibrations on health and comfort. Here is the list of the different time-weighting filters implemented in the toolkit : 
{| class="wikitable" style="margin: auto;"
|+style="caption-side:bottom;"|''Time-weighting filters''
|-
|style="height:30px; width:100px;"|<math>W_k</math>
|Time weighting for the Z axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_d</math>
|Time weighting for the X and Y axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_h</math>
|Time weighting for the hand-arms measurement in any direction (ISO 5349-1)
|-
|style="height:30px; width:100px;"|<math>W_f</math>
|Time weighting for motion sickness measurement in the vertical direction (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_c</math>
|Time weighting for the X axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_e</math>
|Time weighting for all rotational directions for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_j</math>
|Time weighting for the Z axis for head comfort measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_m</math>
|Time weighting for all directions for building's vibration comfort measurement (ISO 2651-2)
|}

Filters have been validated from 0.5 to 10kHz at 25.6kSample/second.

====Usage in the toolkit====
The toolkit allow you to calculate the filtered raw signal with any of the above weighting filters. This will allow you to display [[NVGate FFT Analyzer|spectrums]] and calculate RMS via [[NVGate_Post_Analysis|post-analysis]] in NVGate.

To calculate the raw weighted signal, simply select the filters you want in the "Time signal filters" section :

[[Image:Filter2.png]]

Once the processing is completed, a new measurement containing the filtered signal for each selected filter is created in [[NVGate Project manager|NVGate Project Manager]] :

[[Image:Filtered_Sig.png|400px]]
 
You can then load the new signals in the player as any NVGate signal. Each track of the signal is filtered with the corresponding filter. 

[[Image:Sig_In_ Player.png|800px]]

===Health and comfort indicator===
In addition to the time-weighting filters, the ISO standards present a series of specific metrics to evaluate the affect of vibrations on the Human body. The following section will present you how to use the toolkit to access these metrics.
====Indicators====

{| class="wikitable" style="margin: auto;"
|+style="caption-side:bottom;"|''Body vibration indicators''
|-
|style="height:30px; width:100px;"|<math>A_w</math>
|RMS of the weighted acceleration magnitude.
|-
|style="height:30px; width:100px;"|<math>a_v</math>
|Total RMS value calculated as a quadratic average of the three direction for each tri-axial sensor.
|-
|style="height:30px; width:100px;"|<math>A_h</math>
|RMS of the <math>W_h</math> weighted acceleration magnitude.
|-
|style="height:30px; width:100px;"|<math>Peak</math>
|Amplitude Peak of the vibration; maximal amplitude of the signal from the 0 (Calculated from Post processing in NVGate)
|-
|style="height:30px; width:100px;"|<math>Crest factor</math>
|Ratio between the Peak level and the RMS of the weighted signal(Calculated from Post processing in NVGate)
|-
|style="height:30px; width:100px;"|<math>MTVV</math>
|Maximum Transient Vibration Value, represent the maximal RMS value of the signal
|-
|style="height:30px; width:100px;"|<math>VDV</math>
|Vibration Dose Value, taking into account the temporal shocks in the signal
|-
|style="height:30px; width:100px;"|<math>MSDV</math>
|Motion Sickness Dose Value, representing the comfort in transportation measurement
|-
|style="height:30px; width:100px;"|<math>D_k</math>
|The Acceleration Dose, representing the affect of the vibration on the spine
|-
|style="height:30px; width:100px;"|<math>Se</math>
|The equivalent Static compression stress on the spine, caused by repeated shocks
|}

======Aw======

The <math>A_w</math> is the RMS of the weighted acceleration signal. The weighting is applied in accordance with the direction set for each channel and the weighting filter defined for the direction. 

For each channel, the <math>A_w</math> and <math>A_w(T)</math> will be calculated. The <math>A_w(T)</math> is the Daily exposure value, defined as : 
<math display="block" forcemathmode="5">A_w(T) = A_w*k_{i}*\sqrt{\frac{T}{T_m}}</math>
 
With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter. the <math>k_i</math> factor is defined in the ISO 2631 as <math>k_X = k_Y = 1.4</math> and <math>k_Z = 1</math>.

When comparing result from one measurement point in the three direction, the maximum of the Daily exposure value must be used as the total daily exposure value at that point : 
<math display="block" forcemathmode="5">A_w(T) = max(A_{wX}(T), A_{wY}(T), A_{wZ}(T)) </math>
 
======av======
The <math>a_v</math> is the total RMS vibration value of the weighted acceleration signal. This value will only be calculated if a sensor have been defined in the definition of direction window.

For each tri-axial sensor, the <math>a_v</math> will be calculated as a quadratic average of the weighted RMS value in the three directions : 

<math display="block" forcemathmode="5">a_v = \sqrt{{a_{vX}}^{2}*{k_{X}}^{2} + {a_{vY}}^{2}*{k_{Y}}^{2} + {a_{vZ}}^{2}*{k_{Z}}^{2}}</math> 
With <math>k_{X,Y,Z}</math> a factor defined in the ISO 2631 as <math>k_{X}=k_{Y}=1.4</math> and <math>k_{Z}=1</math>
 
======Ah======
The <math>A_h</math> is the RMS of the <math>W_h</math> weighted acceleration signal for hand-arms vibration measurement. For each channel, the <math>A_h</math> and <math>A_h(T)</math> will be calculated. The <math>A_h(T)</math> is the Daily exposure value, defined as : 

<math display="block" forcemathmode="5">A_h(T) = A_h*\sqrt{\frac{T}{T_m}}</math> 

With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter. 

If any sensor is defined, the total <math>A_h</math> and <math>A_h(T)</math> will be calculated for each sensor as a quadratic average of the three direction of the sensor : 
<math display="block" forcemathmode="5">A_{h Total} = \sqrt{{a_{hX}}^{2}*{k_{X}}^{2} + {a_{hY}}^{2}*{k_{Y}}^{2} + {a_{hZ}}^{2}*{k_{Z}}^{2}}</math>
 
and : 
 
<math display="block" forcemathmode="5">A_{h Total}(T) = \sqrt{{a_{hX}}^{2}*{k_{X}}^{2} + {a_{hY}}^{2}*{k_{Y}}^{2} + {a_{hZ}}^{2}*{k_{Z}}^{2}}*\sqrt{\frac{T}{T_m}}</math>
 
With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter, and <math>k_{X}=k_{Y}=k_{Z}=1</math>
 

======Peak======

This indicator is the [[NVGate_Time_Domain_Analysis#Available_results|peak amplitude]] of the vibration signal. It represent the maximal amplitude of the weighted signal. This indicator can be obtained in NVGate by [[NVGate Post Analysis|post-analysing]] the weighted signal with the [[NVGate Time Domain Analysis|TDA plugin of NVGate]].

======MTVV======
The MTVV is the Maximal Transient Vibration Value, is the maximum of the running RMS of the weighted acceleration. This value is calculated for each channel and is expressed in m/s².

The MTVV Tau is the integration time, expressed in seconds. This value can be edited before the calculation, but the ISO 2631 recommand to use 1 second. Therefore this is the default value of this parameter.

======VDV======
The VDV is the forth power Vibration Dose Value. It is calculated as a cumulative sum of the weighted acceleration at the forth power. The forth power is used to give more weight to the transient event of the signal over the periodic event. Therefore, this indicator must be used to asses the effect of shock on human health and comfort. The VDV is calculated for each channel and expressed in m/s^(1.75). 

If the "VDVTexp" box is checked, an evaluation of the VDV value over a longer time period will be calculated of each channel as : 
<math display="block" forcemathmode="5">VDV_{X,Y,Z}(T) = VDV_{X,Y,Z}*k_{X,Y,Z}*\sqrt[4]{\frac{T}{T_m}}</math> 

With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter, and <math>k_{X}=k_{Y}=1.4</math>, and <math>k_{Z}=1</math>
======MSDV======
This metric is the Motion Sickness Dose Value, used to evaluate the ride comfort in in-vehicle measurement. It is expressed in m.s^(1.5). 

Although this value will be calculated for each direction, only the Z-direction will have a prominent relevance to assess ride comfort.
======Dk======
<math>D_k</math> is the acceleration dose. It is use to evaluate the effect of vibrations on the human spine, and calculated as the 6th root of the sum of the peaks in the acceleration signal raised at the 6th power. it is expressed in m/s². Peaks are defined as the absolute maximum of the acceleration signal between two zeros crossing. In the Z direction, only the positive peak will be considered, were all positive and negative peaks are used for the X and Y directions. 

Specific filters are used to weight the acceleration signal before calculating the <math>D_k</math>. These filter are different for the vertical and horizontal direction, and are defined for a sampling rate of 160 Sample/second. Therefore, we advise to [[NVGate Recorder|record]] the signal with a low [[NVGate_Front_End#Input_settings|sampling rate]] in NVGate. 

Assessing the affect of the vibration on human spine most is important when dealing with transportation vehicular, especially from driver seat. for a better evaluation, the ISO 2631-5 advise to calculate the daily acceleration dose, defined as : 

<math display="block" forcemathmode="5">D_{X,Y,Z}(T) = D_{X,Y,Z}*\sqrt[6]{\frac{T}{T_m}}</math> 

This value will be calculated if the box "Dk Texp" is checked.

======Se======
The Se is the compressive stress on the human spine, expressed in MPa. It is calculated by the combination the Dk in the three direction. Therefore, it will only be calculated if sensors are defined in the "Select Direction" window. One value of Se will be calculated for each sensor by the formula : 
<math display="block" forcemathmode="5">Se = \sqrt[6]{\sum_{k=X,Y,Z}(D_{k}*m_{k})^6}</math> 

Where <math>m_{X} = 0,015</math> MPa/(m/s²), <math>m_{Y} = 0,035</math> MPa/(m/s²) and <math>m_{Z} = 0,032</math> MPa/(m/s²). 

To evaluate the lumbar stress over a daily exposition time, the Se(T) will also be calculated as : 
<math display="block" forcemathmode="5">Se(T) = \sqrt[6]{\sum_{k=X,Y,Z}(D_{k}(T)*m_{k})^6}</math> 

T being the total exposure duration represented by the "Reference time" parameter. 

====In the toolkit====
Before calculating the indicators in the toolkit, you must define a filter for each directions. Filters will be selected in accordance with the wanted result (Hand-arms; Whole-Body, ..) and the direction of the measurement as specified in the table [[Human_Vibration#Time-weighting_filters|describing the filters]]. Filters will be applied to the signal before calculating the indicators, but the time-filtered signal will not be saved. 
[[Image:proc_filt.png]]

You will then need to enter the reference time you want to use to estimate the parameters on a greater duration. This duration must be entered in second. The default value is 288500 second, corresponding to a 8 hours measurement: 
[[Image:Ref_Time.png]]

You will finally need to enter the MTVV Tau value. The MTVV Tau is the integration time in seconds used for the calculation of the MTVV. The ISO 2651 recommand to use 1sec. This is the default value of the setting. 

Once the filters selected and the parameters competed, you can select the metrics you want to calculate by checking the different boxes. 
[[Image:all_proc.png|500px]] 
You can then start the processing to calculate the indicators. 

Here, we are calculating all the indicator for the "Seat_Pad_Measurement" signal. This signal contain 3 Tracks, one for each channel X, Y and Z of a three axis accelerometer. As we want to calculate the multi-axis metrics, we also define a sensor on the three tracks, called "Seat_Pas_3axis". 
[[Image:Set_up_seatPad.png]]
 
Once completed, the result can be find the currently opened project in the [[NVGate Project manager]]. A new measurement called "NAME_OF_THE_Signal_out" containing the result is created. 

[[Image:ResInProjMAn2.png]] 

Each indicator is calculated for each direction and for each track of the signal. The name of the result contain the name of the track, the considered direction and the filter used for that direction (except for the <math>D_k</math> which use specific filters). 
The following picture show the indicators for the first track (SeatPadX) of the signal : 
[[Image:Resut_SeatPad.png]]
 
You can then display the result in NVGate by double clicking.
 
For the metrics estimated on the "Reference Time", the name the indicator is followed by "(Ref_Time_in_Second"). Here an example with the VDV metric, the name of the indicator is displayed in the window title : 
[[Image:VDV_andTexp.png]]
 

==Calculating the other indicators with NVGate==
===<math>A_w</math>===
<math>A_w</math> is the daily vibration dose. It is calculated from an average of the RMS values form the weighted signal and represent the "quantity" of vibration the human body will receive when using of the tested equipment.

This value is defined as : <math>A_w = \sqrt{(k_{x}*a_{w_{x}})^2+(k_{y}*a_{w_{y}})^2+(k_{z}*a_{w_{z}})^2}</math>, with <math>k_i</math> defined in the standard and <math>a_{w_{x}}</math> the RMS value of the weighted acceleration signal in accordance to the direction, as defined in the [[Human_Vibration#Time-weighting_filters|table of the precedent section]]. 

====Calculation in NVGate====

To calculate the <math>A_w</math> in NVGate, calculmate the [[NVGate Time Domain Analysis#RMS|RMS level]] of the weighted signal in [[NVGate_Post_Analysis|Post analysis]]. Here, we will calculate the <math>A_w</math> for the SeatPad measurement as defined for a whole-body measurement in the ISO 2651. According to the [Human_Vibration#Time-weighting_filters|table]], we need to calculate the RMS level of the <math>W_k</math> weighted signal for the Z direction and the <math>W_d</math> weighted signal for the X and Y directions. You then must [[NVGate Display|display]] the three RMS level in the same window : 

[[Image:RMS.png|500px]]

===Ah and Ah(8)===
===VDV Texp===

==Practical information about measurements==

Durée de mesure
Type de mesure
Placement des capteurs
Exemple de capteur : [[https://www.dytran.com/Search/?searchText=seat+pad|Seat Pad accelerometer]]
Capteur avec adaptateurs hand arms

Human Vibration

2020-12-07T15:52:08Z

NIcolasAegerter: /* In the toolkit */

The OROS Body Vibration tool allow you to evaluate the affect of vibration on the human body according to standards ISO 2651 and ISO 5349. These standard define measurement practice and vibration signal analysis to evaluate the affect on health and and comfort of environmental and equipment vibrations on the Human body. 

The ISO 2651 describe the affect on health and comfort of vibration on the whole-body in transportation system, and the ISO 5349 the affect on health of vibration on hands and arms when manipulating machine-tools or vibrating objects. In the following, we will see how to use OROS to evaluate these effect. 
 
This is a post analysis toolkit, operating alongside NVGate after the recording of the signal and will help you to calculate time-weighted signal of acceleration and specific indicators both defined in the standards. 
[[Image:OROS_BodyVib2.png|800px|none]]
 
==Download & install==
Download the program here (version from 03/12/2020) :
https://orossas.sharepoint.com/:u:/g/support/EXCVJE_bLGZMgHg1mr4p1hwB5ICqdqKBXTK3kH9stxozKg?e=UJg72W

Once downloaded, you can unzip the folder and lunch the installer program Setup_OROS_BodyVibration_Tool_vXX.exe. Follow the step of the program to properly install the software. 

The program will be installed in "C:\OROS\Programs\ExternalTools". Shortcuts are created on the main desktop, in the Windows Start program and in the "Link" repertory of NVGate. By that way you can directly run the program from NVGate.

==How to use==

<ol>
<li>Launch NVGate </li>
<li>Launch OROS_BodyVibration_Tool.exe </li>
<li>Open a project in NVGate </li>

[[File:Open_Proj.png]]
 
<li>In the tool, Click on list measurement to list all the measurement present in the project (only the measurement where the signal files are actually on the disk will be displayed. Ensure you have [[NVGate_Project_manager#Uploading.2FDownloading|downloaded signal from the OR3X disk]]) </li>
[[Image:List_Meas.png|400px|none]]
<li>Add the measurement you want to analyse in the "selected list" area using the ">>" button. Use the "<<" button to remove file if needed. </li>
[[Image:Add_Rmv.png|400px|none]]
<li>Click on "Select Directions" to set the direction and sensor for each channel (This step is not necessary if you only want the time-weighted signals). </li>
[[Image:Select_DOF.png|400px|none]]
<li>Select the weighting you want to apply on the time signal </li>
[[Image:Select_Filter.png|400px|none]]
<li>Select the weighting you want to apply for each direction X, Y and Z used for the indicators </li>
[[Image:Select_Process_Filt.png|400px|none]]
<li>Select the metrics you want to calculate </li>
[[Image:Select_Metric.png|400px|none]]
<li>Click on "Start Processing" </li>
[[Image:Strat_Proc.png|400px|none]]
<li>The processing is completed when a the following pop-up window appear. The results and weighted signal have added to the current NVGate project. See the next sections for details. </li>
[[Image:The_End.png|400px|none]]
</ol>

==Toolkit results==
===Time-weighted signal===
Studies of the affect of vibrations on the human body suggest that part of the body don't have the same response to vibrations, and will be sensitive to specific frequencies and transient component of vibration signal. In order to represent the sensitivity of the human boy, ISO standards defined time-weighting that must applied to the signal according to the environmental conditions. The following part present you how to apply time-weighting filters to your signal using the toolkit.
====Time-weighting filters====
As defined in the standards, specific time weighting must be applied to the acceleration signal in order to represent the effect of vibrations on health and comfort. Here is the list of the different time-weighting filters implemented in the toolkit : 
{| class="wikitable" style="margin: auto;"
|+style="caption-side:bottom;"|''Time-weighting filters''
|-
|style="height:30px; width:100px;"|<math>W_k</math>
|Time weighting for the Z axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_d</math>
|Time weighting for the X and Y axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_h</math>
|Time weighting for the hand-arms measurement in any direction (ISO 5349-1)
|-
|style="height:30px; width:100px;"|<math>W_f</math>
|Time weighting for motion sickness measurement in the vertical direction (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_c</math>
|Time weighting for the X axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_e</math>
|Time weighting for all rotational directions for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_j</math>
|Time weighting for the Z axis for head comfort measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_m</math>
|Time weighting for all directions for building's vibration comfort measurement (ISO 2651-2)
|}

Filters have been validated from 0.5 to 10kHz at 25.6kSample/second.

====Usage in the toolkit====
The toolkit allow you to calculate the filtered raw signal with any of the above weighting filters. This will allow you to display [[NVGate FFT Analyzer|spectrums]] and calculate RMS via [[NVGate_Post_Analysis|post-analysis]] in NVGate.

To calculate the raw weighted signal, simply select the filters you want in the "Time signal filters" section :

[[Image:Filter2.png]]

Once the processing is completed, a new measurement containing the filtered signal for each selected filter is created in [[NVGate Project manager|NVGate Project Manager]] :

[[Image:Filtered_Sig.png|400px]]
 
You can then load the new signals in the player as any NVGate signal. Each track of the signal is filtered with the corresponding filter. 

[[Image:Sig_In_ Player.png|800px]]

===Health and comfort indicator===
In addition to the time-weighting filters, the ISO standards present a series of specific metrics to evaluate the affect of vibrations on the Human body. The following section will present you how to use the toolkit to access these metrics.
====Indicators====

{| class="wikitable" style="margin: auto;"
|+style="caption-side:bottom;"|''Body vibration indicators''
|-
|style="height:30px; width:100px;"|<math>A_w</math>
|RMS of the weighted acceleration magnitude.
|-
|style="height:30px; width:100px;"|<math>a_v</math>
|Total RMS value calculated as a quadratic average of the three direction for each tri-axial sensor.
|-
|style="height:30px; width:100px;"|<math>A_h</math>
|RMS of the <math>W_h</math> weighted acceleration magnitude.
|-
|style="height:30px; width:100px;"|<math>Peak</math>
|Amplitude Peak of the vibration; maximal amplitude of the signal from the 0 (Calculated from Post processing in NVGate)
|-
|style="height:30px; width:100px;"|<math>Crest factor</math>
|Ratio between the Peak level and the RMS of the weighted signal(Calculated from Post processing in NVGate)
|-
|style="height:30px; width:100px;"|<math>MTVV</math>
|Maximum Transient Vibration Value, represent the maximal RMS value of the signal
|-
|style="height:30px; width:100px;"|<math>VDV</math>
|Vibration Dose Value, taking into account the temporal shocks in the signal
|-
|style="height:30px; width:100px;"|<math>MSDV</math>
|Motion Sickness Dose Value, representing the comfort in transportation measurement
|-
|style="height:30px; width:100px;"|<math>D_k</math>
|The Acceleration Dose, representing the affect of the vibration on the spine
|-
|style="height:30px; width:100px;"|<math>Se</math>
|The equivalent Static compression stress on the spine, caused by repeated shocks
|}

======Aw======

The <math>A_w</math> is the RMS of the weighted acceleration signal. The weighting is applied in accordance with the direction set for each channel and the weighting filter defined for the direction. 

For each channel, the <math>A_w</math> and <math>A_w(T)</math> will be calculated. The <math>A_w(T)</math> is the Daily exposure value, defined as : 
<math display="block" forcemathmode="5">A_w(T) = A_w*k_{i}*\sqrt{\frac{T}{T_m}}</math>
 
With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter. the <math>k_i</math> factor is defined in the ISO 2631 as <math>k_X = k_Y = 1.4</math> and <math>k_Z = 1</math>.

When comparing result from one measurement point in the three direction, the maximum of the Daily exposure value must be used as the total daily exposure value at that point : 
<math display="block" forcemathmode="5">A_w(T) = max(A_{wX}(T), A_{wY}(T), A_{wZ}(T)) </math>
 
======av======
The <math>a_v</math> is the total RMS vibration value of the weighted acceleration signal. This value will only be calculated if a sensor have been defined in the definition of direction window.

For each tri-axial sensor, the <math>a_v</math> will be calculated as a quadratic average of the weighted RMS value in the three directions : 

<math display="block" forcemathmode="5">a_v = \sqrt{{a_{vX}}^{2}*{k_{X}}^{2} + {a_{vY}}^{2}*{k_{Y}}^{2} + {a_{vZ}}^{2}*{k_{Z}}^{2}}</math> 
With <math>k_{X,Y,Z}</math> a factor defined in the ISO 2631 as <math>k_{X}=k_{Y}=1.4</math> and <math>k_{Z}=1</math>
 
======Ah======
The <math>A_h</math> is the RMS of the <math>W_h</math> weighted acceleration signal for hand-arms vibration measurement. For each channel, the <math>A_h</math> and <math>A_h(T)</math> will be calculated. The <math>A_h(T)</math> is the Daily exposure value, defined as : 

<math display="block" forcemathmode="5">A_h(T) = A_h*\sqrt{\frac{T}{T_m}}</math> 

With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter. 

If any sensor is defined, the total <math>A_h</math> and <math>A_h(T)</math> will be calculated for each sensor as a quadratic average of the three direction of the sensor : 
<math display="block" forcemathmode="5">A_{h Total} = \sqrt{{a_{hX}}^{2}*{k_{X}}^{2} + {a_{hY}}^{2}*{k_{Y}}^{2} + {a_{hZ}}^{2}*{k_{Z}}^{2}}</math>
 
and : 
 
<math display="block" forcemathmode="5">A_{h Total}(T) = \sqrt{{a_{hX}}^{2}*{k_{X}}^{2} + {a_{hY}}^{2}*{k_{Y}}^{2} + {a_{hZ}}^{2}*{k_{Z}}^{2}}*\sqrt{\frac{T}{T_m}}</math>
 
With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter, and <math>k_{X}=k_{Y}=k_{Z}=1</math>
 

======Peak======

This indicator is the [[NVGate_Time_Domain_Analysis#Available_results|peak amplitude]] of the vibration signal. It represent the maximal amplitude of the weighted signal. This indicator can be obtained in NVGate by [[NVGate Post Analysis|post-analysing]] the weighted signal with the [[NVGate Time Domain Analysis|TDA plugin of NVGate]].

======MTVV======
The MTVV is the Maximal Transient Vibration Value, is the maximum of the running RMS of the weighted acceleration. This value is calculated for each channel and is expressed in m/s².

The MTVV Tau is the integration time, expressed in seconds. This value can be edited before the calculation, but the ISO 2631 recommand to use 1 second. Therefore this is the default value of this parameter.

======VDV======
The VDV is the forth power Vibration Dose Value. It is calculated as a cumulative sum of the weighted acceleration at the forth power. The forth power is used to give more weight to the transient event of the signal over the periodic event. Therefore, this indicator must be used to asses the effect of shock on human health and comfort. The VDV is calculated for each channel and expressed in m/s^(1.75). 

If the "VDVTexp" box is checked, an evaluation of the VDV value over a longer time period will be calculated of each channel as : 
<math display="block" forcemathmode="5">VDV_{X,Y,Z}(T) = VDV_{X,Y,Z}*k_{X,Y,Z}*\sqrt[4]{\frac{T}{T_m}}</math> 

With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter, and <math>k_{X}=k_{Y}=1.4</math>, and <math>k_{Z}=1</math>
======MSDV======
This metric is the Motion Sickness Dose Value, used to evaluate the ride comfort in in-vehicle measurement. It is expressed in m.s^(1.5). 

Although this value will be calculated for each direction, only the Z-direction will have a prominent relevance to assess ride comfort.
======Dk======
<math>D_k</math> is the acceleration dose. It is use to evaluate the effect of vibrations on the human spine, and calculated as the 6th root of the sum of the peaks in the acceleration signal raised at the 6th power. it is expressed in m/s². Peaks are defined as the absolute maximum of the acceleration signal between two zeros crossing. In the Z direction, only the positive peak will be considered, were all positive and negative peaks are used for the X and Y directions. 

Specific filters are used to weight the acceleration signal before calculating the <math>D_k</math>. These filter are different for the vertical and horizontal direction, and are defined for a sampling rate of 160 Sample/second. Therefore, we advise to [[NVGate Recorder|record]] the signal with a low [[NVGate_Front_End#Input_settings|sampling rate]] in NVGate. 

Assessing the affect of the vibration on human spine most is important when dealing with transportation vehicular, especially from driver seat. for a better evaluation, the ISO 2631-5 advise to calculate the daily acceleration dose, defined as : 

<math display="block" forcemathmode="5">D_{X,Y,Z}(T) = D_{X,Y,Z}*\sqrt[6]{\frac{T}{T_m}}</math> 

This value will be calculated if the box "Dk Texp" is checked.

======Se======
The Se is the compressive stress on the human spine, expressed in MPa. It is calculated by the combination the Dk in the three direction. Therefore, it will only be calculated if sensors are defined in the "Select Direction" window. One value of Se will be calculated for each sensor by the formula : 
<math display="block" forcemathmode="5">Se = \sqrt[6]{\sum_{k=X,Y,Z}(D_{k}*m_{k})^6}</math> 

Where <math>m_{X} = 0,015</math> MPa/(m/s²), <math>m_{Y} = 0,035</math> MPa/(m/s²) and <math>m_{Z} = 0,032</math> MPa/(m/s²). 

To evaluate the lumbar stress over a daily exposition time, the Se(T) will also be calculated as : 
<math display="block" forcemathmode="5">Se(T) = \sqrt[6]{\sum_{k=X,Y,Z}(D_{k}(T)*m_{k})^6}</math> 

T being the total exposure duration represented by the "Reference time" parameter. 

====In the toolkit====
Before calculating the indicators in the toolkit, you must define a filter for each directions. Filters will be selected in accordance with the wanted result (Hand-arms; Whole-Body, ..) and the direction of the measurement as specified in the table [[Human_Vibration#Time-weighting_filters|describing the filters]]. Filters will be applied to the signal before calculating the indicators, but the time-filtered signal will not be saved. 
[[Image:proc_filt.png]]

You will then need to enter the reference time you want to use to estimate the parameters on a greater duration. This duration must be entered in second. The default value is 288500 second, corresponding to a 8 hours measurement: 
[[Image:Ref_Time.png]]

You will finally need to enter the MTVV Tau value. The MTVV Tau is the integration time in seconds used for the calculation of the MTVV. The ISO 2651 recommand to use 1sec. This is the default value of the setting. 

Once the filters selected and the parameters competed, you can select the metrics you want to calculate by checking the different boxes. 
[[Image:all_proc.png]] 
You can then start the processing to calculate the indicators. 

Here, we are calculating all the indicator for the "Seat_Pad_Measurement" signal. This signal contain 3 Tracks, one for each channel X, Y and Z of a three axis accelerometer. As we want to calculate the multi-axis metrics, we also define a sensor on the three tracks, called "Seat_Pas_3axis". 
[[Image:Set_up_seatPad.png]]
 
Once completed, the result can be find the currently opened project in the [[NVGate Project manager]]. A new measurement called "NAME_OF_THE_Signal_out" containing the result is created. 

[[Image:ResInProjMAn2.png]] 

Each indicator is calculated for each direction and for each track of the signal. The name of the result contain the name of the track, the considered direction and the filter used for that direction (except for the <math>D_k</math> which use specific filters). 
The following picture show the indicators for the first track (SeatPadX) of the signal : 
[[Image:Resut_SeatPad.png]]
 
You can then display the result in NVGate by double clicking.
 
For the metrics estimated on the "Reference Time", the name the indicator is followed by "(Ref_Time_in_Second"). Here an example with the VDV metric, the name of the indicator is displayed in the window title : 
[[Image:VDV_andTexp.png]]
 
==Calculating the other indicators with NVGate==
===<math>A_w</math>===
<math>A_w</math> is the daily vibration dose. It is calculated from an average of the RMS values form the weighted signal and represent the "quantity" of vibration the human body will receive when using of the tested equipment.

This value is defined as : <math>A_w = \sqrt{(k_{x}*a_{w_{x}})^2+(k_{y}*a_{w_{y}})^2+(k_{z}*a_{w_{z}})^2}</math>, with <math>k_i</math> defined in the standard and <math>a_{w_{x}}</math> the RMS value of the weighted acceleration signal in accordance to the direction, as defined in the [[Human_Vibration#Time-weighting_filters|table of the precedent section]]. 

====Calculation in NVGate====

To calculate the <math>A_w</math> in NVGate, calculmate the [[NVGate Time Domain Analysis#RMS|RMS level]] of the weighted signal in [[NVGate_Post_Analysis|Post analysis]]. Here, we will calculate the <math>A_w</math> for the SeatPad measurement as defined for a whole-body measurement in the ISO 2651. According to the [Human_Vibration#Time-weighting_filters|table]], we need to calculate the RMS level of the <math>W_k</math> weighted signal for the Z direction and the <math>W_d</math> weighted signal for the X and Y directions. You then must [[NVGate Display|display]] the three RMS level in the same window : 

[[Image:RMS.png|500px]]

===Ah and Ah(8)===
===VDV Texp===

==Practical information about measurements==

Durée de mesure
Type de mesure
Placement des capteurs
Exemple de capteur : [[https://www.dytran.com/Search/?searchText=seat+pad|Seat Pad accelerometer]]
Capteur avec adaptateurs hand arms

File:VDV andTexp.png

2020-12-07T15:45:52Z

NIcolasAegerter: File uploaded with MsUpload

File uploaded with MsUpload

Human Vibration

2020-12-07T15:00:37Z

NIcolasAegerter: /* In the toolkit */

The OROS Body Vibration tool allow you to evaluate the affect of vibration on the human body according to standards ISO 2651 and ISO 5349. These standard define measurement practice and vibration signal analysis to evaluate the affect on health and and comfort of environmental and equipment vibrations on the Human body. 

The ISO 2651 describe the affect on health and comfort of vibration on the whole-body in transportation system, and the ISO 5349 the affect on health of vibration on hands and arms when manipulating machine-tools or vibrating objects. In the following, we will see how to use OROS to evaluate these effect. 
 
This is a post analysis toolkit, operating alongside NVGate after the recording of the signal and will help you to calculate time-weighted signal of acceleration and specific indicators both defined in the standards. 
[[Image:OROS_BodyVib2.png|800px|none]]
 
==Download & install==
Download the program here (version from 03/12/2020) :
https://orossas.sharepoint.com/:u:/g/support/EXCVJE_bLGZMgHg1mr4p1hwB5ICqdqKBXTK3kH9stxozKg?e=UJg72W

Once downloaded, you can unzip the folder and lunch the installer program Setup_OROS_BodyVibration_Tool_vXX.exe. Follow the step of the program to properly install the software. 

The program will be installed in "C:\OROS\Programs\ExternalTools". Shortcuts are created on the main desktop, in the Windows Start program and in the "Link" repertory of NVGate. By that way you can directly run the program from NVGate.

==How to use==

<ol>
<li>Launch NVGate </li>
<li>Launch OROS_BodyVibration_Tool.exe </li>
<li>Open a project in NVGate </li>

[[File:Open_Proj.png]]
 
<li>In the tool, Click on list measurement to list all the measurement present in the project (only the measurement where the signal files are actually on the disk will be displayed. Ensure you have [[NVGate_Project_manager#Uploading.2FDownloading|downloaded signal from the OR3X disk]]) </li>
[[Image:List_Meas.png|400px|none]]
<li>Add the measurement you want to analyse in the "selected list" area using the ">>" button. Use the "<<" button to remove file if needed. </li>
[[Image:Add_Rmv.png|400px|none]]
<li>Click on "Select Directions" to set the direction and sensor for each channel (This step is not necessary if you only want the time-weighted signals). </li>
[[Image:Select_DOF.png|400px|none]]
<li>Select the weighting you want to apply on the time signal </li>
[[Image:Select_Filter.png|400px|none]]
<li>Select the weighting you want to apply for each direction X, Y and Z used for the indicators </li>
[[Image:Select_Process_Filt.png|400px|none]]
<li>Select the metrics you want to calculate </li>
[[Image:Select_Metric.png|400px|none]]
<li>Click on "Start Processing" </li>
[[Image:Strat_Proc.png|400px|none]]
<li>The processing is completed when a the following pop-up window appear. The results and weighted signal have added to the current NVGate project. See the next sections for details. </li>
[[Image:The_End.png|400px|none]]
</ol>

==Toolkit results==
===Time-weighted signal===
Studies of the affect of vibrations on the human body suggest that part of the body don't have the same response to vibrations, and will be sensitive to specific frequencies and transient component of vibration signal. In order to represent the sensitivity of the human boy, ISO standards defined time-weighting that must applied to the signal according to the environmental conditions. The following part present you how to apply time-weighting filters to your signal using the toolkit.
====Time-weighting filters====
As defined in the standards, specific time weighting must be applied to the acceleration signal in order to represent the effect of vibrations on health and comfort. Here is the list of the different time-weighting filters implemented in the toolkit : 
{| class="wikitable" style="margin: auto;"
|+style="caption-side:bottom;"|''Time-weighting filters''
|-
|style="height:30px; width:100px;"|<math>W_k</math>
|Time weighting for the Z axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_d</math>
|Time weighting for the X and Y axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_h</math>
|Time weighting for the hand-arms measurement in any direction (ISO 5349-1)
|-
|style="height:30px; width:100px;"|<math>W_f</math>
|Time weighting for motion sickness measurement in the vertical direction (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_c</math>
|Time weighting for the X axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_e</math>
|Time weighting for all rotational directions for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_j</math>
|Time weighting for the Z axis for head comfort measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_m</math>
|Time weighting for all directions for building's vibration comfort measurement (ISO 2651-2)
|}

Filters have been validated from 0.5 to 10kHz at 25.6kSample/second.

====Usage in the toolkit====
The toolkit allow you to calculate the filtered raw signal with any of the above weighting filters. This will allow you to display [[NVGate FFT Analyzer|spectrums]] and calculate RMS via [[NVGate_Post_Analysis|post-analysis]] in NVGate.

To calculate the raw weighted signal, simply select the filters you want in the "Time signal filters" section :

[[Image:Filter2.png]]

Once the processing is completed, a new measurement containing the filtered signal for each selected filter is created in [[NVGate Project manager|NVGate Project Manager]] :

[[Image:Filtered_Sig.png|400px]]
 
You can then load the new signals in the player as any NVGate signal. Each track of the signal is filtered with the corresponding filter. 

[[Image:Sig_In_ Player.png|800px]]

===Health and comfort indicator===
In addition to the time-weighting filters, the ISO standards present a series of specific metrics to evaluate the affect of vibrations on the Human body. The following section will present you how to use the toolkit to access these metrics.
====Indicators====

{| class="wikitable" style="margin: auto;"
|+style="caption-side:bottom;"|''Body vibration indicators''
|-
|style="height:30px; width:100px;"|<math>A_w</math>
|RMS of the weighted acceleration magnitude.
|-
|style="height:30px; width:100px;"|<math>a_v</math>
|Total RMS value calculated as a quadratic average of the three direction for each tri-axial sensor.
|-
|style="height:30px; width:100px;"|<math>A_h</math>
|RMS of the <math>W_h</math> weighted acceleration magnitude.
|-
|style="height:30px; width:100px;"|<math>Peak</math>
|Amplitude Peak of the vibration; maximal amplitude of the signal from the 0 (Calculated from Post processing in NVGate)
|-
|style="height:30px; width:100px;"|<math>Crest factor</math>
|Ratio between the Peak level and the RMS of the weighted signal(Calculated from Post processing in NVGate)
|-
|style="height:30px; width:100px;"|<math>MTVV</math>
|Maximum Transient Vibration Value, represent the maximal RMS value of the signal
|-
|style="height:30px; width:100px;"|<math>VDV</math>
|Vibration Dose Value, taking into account the temporal shocks in the signal
|-
|style="height:30px; width:100px;"|<math>MSDV</math>
|Motion Sickness Dose Value, representing the comfort in transportation measurement
|-
|style="height:30px; width:100px;"|<math>D_k</math>
|The Acceleration Dose, representing the affect of the vibration on the spine
|-
|style="height:30px; width:100px;"|<math>Se</math>
|The equivalent Static compression stress on the spine, caused by repeated shocks
|}

======Aw======

The <math>A_w</math> is the RMS of the weighted acceleration signal. The weighting is applied in accordance with the direction set for each channel and the weighting filter defined for the direction. 

For each channel, the <math>A_w</math> and <math>A_w(T)</math> will be calculated. The <math>A_w(T)</math> is the Daily exposure value, defined as : 
<math display="block" forcemathmode="5">A_w(T) = A_w*k_{i}*\sqrt{\frac{T}{T_m}}</math>
 
With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter. the <math>k_i</math> factor is defined in the ISO 2631 as <math>k_X = k_Y = 1.4</math> and <math>k_Z = 1</math>.

When comparing result from one measurement point in the three direction, the maximum of the Daily exposure value must be used as the total daily exposure value at that point : 
<math display="block" forcemathmode="5">A_w(T) = max(A_{wX}(T), A_{wY}(T), A_{wZ}(T)) </math>
 
======av======
The <math>a_v</math> is the total RMS vibration value of the weighted acceleration signal. This value will only be calculated if a sensor have been defined in the definition of direction window.

For each tri-axial sensor, the <math>a_v</math> will be calculated as a quadratic average of the weighted RMS value in the three directions : 

<math display="block" forcemathmode="5">a_v = \sqrt{{a_{vX}}^{2}*{k_{X}}^{2} + {a_{vY}}^{2}*{k_{Y}}^{2} + {a_{vZ}}^{2}*{k_{Z}}^{2}}</math> 
With <math>k_{X,Y,Z}</math> a factor defined in the ISO 2631 as <math>k_{X}=k_{Y}=1.4</math> and <math>k_{Z}=1</math>
 
======Ah======
The <math>A_h</math> is the RMS of the <math>W_h</math> weighted acceleration signal for hand-arms vibration measurement. For each channel, the <math>A_h</math> and <math>A_h(T)</math> will be calculated. The <math>A_h(T)</math> is the Daily exposure value, defined as : 

<math display="block" forcemathmode="5">A_h(T) = A_h*\sqrt{\frac{T}{T_m}}</math> 

With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter. 

If any sensor is defined, the total <math>A_h</math> and <math>A_h(T)</math> will be calculated for each sensor as a quadratic average of the three direction of the sensor : 
<math display="block" forcemathmode="5">A_{h Total} = \sqrt{{a_{hX}}^{2}*{k_{X}}^{2} + {a_{hY}}^{2}*{k_{Y}}^{2} + {a_{hZ}}^{2}*{k_{Z}}^{2}}</math>
 
and : 
 
<math display="block" forcemathmode="5">A_{h Total}(T) = \sqrt{{a_{hX}}^{2}*{k_{X}}^{2} + {a_{hY}}^{2}*{k_{Y}}^{2} + {a_{hZ}}^{2}*{k_{Z}}^{2}}*\sqrt{\frac{T}{T_m}}</math>
 
With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter, and <math>k_{X}=k_{Y}=k_{Z}=1</math>
 

======Peak======

This indicator is the [[NVGate_Time_Domain_Analysis#Available_results|peak amplitude]] of the vibration signal. It represent the maximal amplitude of the weighted signal. This indicator can be obtained in NVGate by [[NVGate Post Analysis|post-analysing]] the weighted signal with the [[NVGate Time Domain Analysis|TDA plugin of NVGate]].

======MTVV======
The MTVV is the Maximal Transient Vibration Value, is the maximum of the running RMS of the weighted acceleration. This value is calculated for each channel and is expressed in m/s².

The MTVV Tau is the integration time, expressed in seconds. This value can be edited before the calculation, but the ISO 2631 recommand to use 1 second. Therefore this is the default value of this parameter.

======VDV======
The VDV is the forth power Vibration Dose Value. It is calculated as a cumulative sum of the weighted acceleration at the forth power. The forth power is used to give more weight to the transient event of the signal over the periodic event. Therefore, this indicator must be used to asses the effect of shock on human health and comfort. The VDV is calculated for each channel and expressed in m/s^(1.75). 

If the "VDVTexp" box is checked, an evaluation of the VDV value over a longer time period will be calculated of each channel as : 
<math display="block" forcemathmode="5">VDV_{X,Y,Z}(T) = VDV_{X,Y,Z}*k_{X,Y,Z}*\sqrt[4]{\frac{T}{T_m}}</math> 

With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter, and <math>k_{X}=k_{Y}=1.4</math>, and <math>k_{Z}=1</math>
======MSDV======
This metric is the Motion Sickness Dose Value, used to evaluate the ride comfort in in-vehicle measurement. It is expressed in m.s^(1.5). 

Although this value will be calculated for each direction, only the Z-direction will have a prominent relevance to assess ride comfort.
======Dk======
<math>D_k</math> is the acceleration dose. It is use to evaluate the effect of vibrations on the human spine, and calculated as the 6th root of the sum of the peaks in the acceleration signal raised at the 6th power. it is expressed in m/s². Peaks are defined as the absolute maximum of the acceleration signal between two zeros crossing. In the Z direction, only the positive peak will be considered, were all positive and negative peaks are used for the X and Y directions. 

Specific filters are used to weight the acceleration signal before calculating the <math>D_k</math>. These filter are different for the vertical and horizontal direction, and are defined for a sampling rate of 160 Sample/second. Therefore, we advise to [[NVGate Recorder|record]] the signal with a low [[NVGate_Front_End#Input_settings|sampling rate]] in NVGate. 

Assessing the affect of the vibration on human spine most is important when dealing with transportation vehicular, especially from driver seat. for a better evaluation, the ISO 2631-5 advise to calculate the daily acceleration dose, defined as : 

<math display="block" forcemathmode="5">D_{X,Y,Z}(T) = D_{X,Y,Z}*\sqrt[6]{\frac{T}{T_m}}</math> 

This value will be calculated if the box "Dk Texp" is checked.

======Se======
The Se is the compressive stress on the human spine, expressed in MPa. It is calculated by the combination the Dk in the three direction. Therefore, it will only be calculated if sensors are defined in the "Select Direction" window. One value of Se will be calculated for each sensor by the formula : 
<math display="block" forcemathmode="5">Se = \sqrt[6]{\sum_{k=X,Y,Z}(D_{k}*m_{k})^6}</math> 

Where <math>m_{X} = 0,015</math> MPa/(m/s²), <math>m_{Y} = 0,035</math> MPa/(m/s²) and <math>m_{Z} = 0,032</math> MPa/(m/s²). 

To evaluate the lumbar stress over a daily exposition time, the Se(T) will also be calculated as : 
<math display="block" forcemathmode="5">Se(T) = \sqrt[6]{\sum_{k=X,Y,Z}(D_{k}(T)*m_{k})^6}</math> 

T being the total exposure duration represented by the "Reference time" parameter. 

====In the toolkit====
Before calculating the indicators in the toolkit, you must define a filter for each directions. Filters will be selected in accordance with the wanted result (Hand-arms; Whole-Body, ..) and the direction of the measurement as specified in the table [[Human_Vibration#Time-weighting_filters|describing the filters]]. Filters will be applied to the signal before calculating the indicators, but the time-filtered signal will not be saved. 
[[Image:proc_filt.png]]

You will then need to enter the reference time you want to use to estimate the parameters on a greater duration. This duration must be entered in second. The default value is 288500 second, corresponding to a 8 hours measurement: 
[[Image:Ref_Time.png]]

You will finally need to enter the MTVV Tau value. The MTVV Tau is the integration time in seconds used for the calculation of the MTVV. The ISO 2651 recommand to use 1sec. This is the default value of the setting. 

Once the filters selected and the parameters competed, you can select the metrics you want to calculate by checking the different boxes. 
[[Image:all_proc.png]] 
You can then start the processing to calculate the indicators. 

Here, we are calculating all the indicator for the "Seat_Pad_Measurement" signal. This signal contain 3 Tracks, one for each channel X, Y and Z of a three axis accelerometer. As we want to calculate the multi-axis metrics, we also define a sensor on the three tracks, called "Seat_Pas_3axis". 
[[Image:Set_up_seatPad.png]]
 
Once completed, the result can be find the currently opened project in the [[NVGate Project manager]]. A new measurement called "NAME_OF_THE_Signal_out" containing the result is created. 

[[Image:ResInProjMAn2.png]] 

Each indicator is calculated for each direction and for each track of the signal. The name of the result contain the name of the track, the considered direction and the filter used for that direction (except for the <math>D_k</math> which use specific filters). For the .
The following picture show the indicators for the first track (SeatPadX) of the signal : 
[[Image:Resut_SeatPad.png]]

You can then display the result in NVGate by double clicking.

==Calculating the other indicators with NVGate==
===<math>A_w</math>===
<math>A_w</math> is the daily vibration dose. It is calculated from an average of the RMS values form the weighted signal and represent the "quantity" of vibration the human body will receive when using of the tested equipment.

This value is defined as : <math>A_w = \sqrt{(k_{x}*a_{w_{x}})^2+(k_{y}*a_{w_{y}})^2+(k_{z}*a_{w_{z}})^2}</math>, with <math>k_i</math> defined in the standard and <math>a_{w_{x}}</math> the RMS value of the weighted acceleration signal in accordance to the direction, as defined in the [[Human_Vibration#Time-weighting_filters|table of the precedent section]]. 

====Calculation in NVGate====

To calculate the <math>A_w</math> in NVGate, calculmate the [[NVGate Time Domain Analysis#RMS|RMS level]] of the weighted signal in [[NVGate_Post_Analysis|Post analysis]]. Here, we will calculate the <math>A_w</math> for the SeatPad measurement as defined for a whole-body measurement in the ISO 2651. According to the [Human_Vibration#Time-weighting_filters|table]], we need to calculate the RMS level of the <math>W_k</math> weighted signal for the Z direction and the <math>W_d</math> weighted signal for the X and Y directions. You then must [[NVGate Display|display]] the three RMS level in the same window : 

[[Image:RMS.png|500px]]

===Ah and Ah(8)===
===VDV Texp===

==Practical information about measurements==

Durée de mesure
Type de mesure
Placement des capteurs
Exemple de capteur : [[https://www.dytran.com/Search/?searchText=seat+pad|Seat Pad accelerometer]]
Capteur avec adaptateurs hand arms

Human Vibration

2020-12-07T14:57:31Z

NIcolasAegerter: /* In the toolkit */

The OROS Body Vibration tool allow you to evaluate the affect of vibration on the human body according to standards ISO 2651 and ISO 5349. These standard define measurement practice and vibration signal analysis to evaluate the affect on health and and comfort of environmental and equipment vibrations on the Human body. 

The ISO 2651 describe the affect on health and comfort of vibration on the whole-body in transportation system, and the ISO 5349 the affect on health of vibration on hands and arms when manipulating machine-tools or vibrating objects. In the following, we will see how to use OROS to evaluate these effect. 
 
This is a post analysis toolkit, operating alongside NVGate after the recording of the signal and will help you to calculate time-weighted signal of acceleration and specific indicators both defined in the standards. 
[[Image:OROS_BodyVib2.png|800px|none]]
 
==Download & install==
Download the program here (version from 03/12/2020) :
https://orossas.sharepoint.com/:u:/g/support/EXCVJE_bLGZMgHg1mr4p1hwB5ICqdqKBXTK3kH9stxozKg?e=UJg72W

Once downloaded, you can unzip the folder and lunch the installer program Setup_OROS_BodyVibration_Tool_vXX.exe. Follow the step of the program to properly install the software. 

The program will be installed in "C:\OROS\Programs\ExternalTools". Shortcuts are created on the main desktop, in the Windows Start program and in the "Link" repertory of NVGate. By that way you can directly run the program from NVGate.

==How to use==

<ol>
<li>Launch NVGate </li>
<li>Launch OROS_BodyVibration_Tool.exe </li>
<li>Open a project in NVGate </li>

[[File:Open_Proj.png]]
 
<li>In the tool, Click on list measurement to list all the measurement present in the project (only the measurement where the signal files are actually on the disk will be displayed. Ensure you have [[NVGate_Project_manager#Uploading.2FDownloading|downloaded signal from the OR3X disk]]) </li>
[[Image:List_Meas.png|400px|none]]
<li>Add the measurement you want to analyse in the "selected list" area using the ">>" button. Use the "<<" button to remove file if needed. </li>
[[Image:Add_Rmv.png|400px|none]]
<li>Click on "Select Directions" to set the direction and sensor for each channel (This step is not necessary if you only want the time-weighted signals). </li>
[[Image:Select_DOF.png|400px|none]]
<li>Select the weighting you want to apply on the time signal </li>
[[Image:Select_Filter.png|400px|none]]
<li>Select the weighting you want to apply for each direction X, Y and Z used for the indicators </li>
[[Image:Select_Process_Filt.png|400px|none]]
<li>Select the metrics you want to calculate </li>
[[Image:Select_Metric.png|400px|none]]
<li>Click on "Start Processing" </li>
[[Image:Strat_Proc.png|400px|none]]
<li>The processing is completed when a the following pop-up window appear. The results and weighted signal have added to the current NVGate project. See the next sections for details. </li>
[[Image:The_End.png|400px|none]]
</ol>

==Toolkit results==
===Time-weighted signal===
Studies of the affect of vibrations on the human body suggest that part of the body don't have the same response to vibrations, and will be sensitive to specific frequencies and transient component of vibration signal. In order to represent the sensitivity of the human boy, ISO standards defined time-weighting that must applied to the signal according to the environmental conditions. The following part present you how to apply time-weighting filters to your signal using the toolkit.
====Time-weighting filters====
As defined in the standards, specific time weighting must be applied to the acceleration signal in order to represent the effect of vibrations on health and comfort. Here is the list of the different time-weighting filters implemented in the toolkit : 
{| class="wikitable" style="margin: auto;"
|+style="caption-side:bottom;"|''Time-weighting filters''
|-
|style="height:30px; width:100px;"|<math>W_k</math>
|Time weighting for the Z axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_d</math>
|Time weighting for the X and Y axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_h</math>
|Time weighting for the hand-arms measurement in any direction (ISO 5349-1)
|-
|style="height:30px; width:100px;"|<math>W_f</math>
|Time weighting for motion sickness measurement in the vertical direction (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_c</math>
|Time weighting for the X axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_e</math>
|Time weighting for all rotational directions for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_j</math>
|Time weighting for the Z axis for head comfort measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_m</math>
|Time weighting for all directions for building's vibration comfort measurement (ISO 2651-2)
|}

Filters have been validated from 0.5 to 10kHz at 25.6kSample/second.

====Usage in the toolkit====
The toolkit allow you to calculate the filtered raw signal with any of the above weighting filters. This will allow you to display [[NVGate FFT Analyzer|spectrums]] and calculate RMS via [[NVGate_Post_Analysis|post-analysis]] in NVGate.

To calculate the raw weighted signal, simply select the filters you want in the "Time signal filters" section :

[[Image:Filter2.png]]

Once the processing is completed, a new measurement containing the filtered signal for each selected filter is created in [[NVGate Project manager|NVGate Project Manager]] :

[[Image:Filtered_Sig.png|400px]]
 
You can then load the new signals in the player as any NVGate signal. Each track of the signal is filtered with the corresponding filter. 

[[Image:Sig_In_ Player.png|800px]]

===Health and comfort indicator===
In addition to the time-weighting filters, the ISO standards present a series of specific metrics to evaluate the affect of vibrations on the Human body. The following section will present you how to use the toolkit to access these metrics.
====Indicators====

{| class="wikitable" style="margin: auto;"
|+style="caption-side:bottom;"|''Body vibration indicators''
|-
|style="height:30px; width:100px;"|<math>A_w</math>
|RMS of the weighted acceleration magnitude.
|-
|style="height:30px; width:100px;"|<math>a_v</math>
|Total RMS value calculated as a quadratic average of the three direction for each tri-axial sensor.
|-
|style="height:30px; width:100px;"|<math>A_h</math>
|RMS of the <math>W_h</math> weighted acceleration magnitude.
|-
|style="height:30px; width:100px;"|<math>Peak</math>
|Amplitude Peak of the vibration; maximal amplitude of the signal from the 0 (Calculated from Post processing in NVGate)
|-
|style="height:30px; width:100px;"|<math>Crest factor</math>
|Ratio between the Peak level and the RMS of the weighted signal(Calculated from Post processing in NVGate)
|-
|style="height:30px; width:100px;"|<math>MTVV</math>
|Maximum Transient Vibration Value, represent the maximal RMS value of the signal
|-
|style="height:30px; width:100px;"|<math>VDV</math>
|Vibration Dose Value, taking into account the temporal shocks in the signal
|-
|style="height:30px; width:100px;"|<math>MSDV</math>
|Motion Sickness Dose Value, representing the comfort in transportation measurement
|-
|style="height:30px; width:100px;"|<math>D_k</math>
|The Acceleration Dose, representing the affect of the vibration on the spine
|-
|style="height:30px; width:100px;"|<math>Se</math>
|The equivalent Static compression stress on the spine, caused by repeated shocks
|}

======Aw======

The <math>A_w</math> is the RMS of the weighted acceleration signal. The weighting is applied in accordance with the direction set for each channel and the weighting filter defined for the direction. 

For each channel, the <math>A_w</math> and <math>A_w(T)</math> will be calculated. The <math>A_w(T)</math> is the Daily exposure value, defined as : 
<math display="block" forcemathmode="5">A_w(T) = A_w*k_{i}*\sqrt{\frac{T}{T_m}}</math>
 
With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter. the <math>k_i</math> factor is defined in the ISO 2631 as <math>k_X = k_Y = 1.4</math> and <math>k_Z = 1</math>.

When comparing result from one measurement point in the three direction, the maximum of the Daily exposure value must be used as the total daily exposure value at that point : 
<math display="block" forcemathmode="5">A_w(T) = max(A_{wX}(T), A_{wY}(T), A_{wZ}(T)) </math>
 
======av======
The <math>a_v</math> is the total RMS vibration value of the weighted acceleration signal. This value will only be calculated if a sensor have been defined in the definition of direction window.

For each tri-axial sensor, the <math>a_v</math> will be calculated as a quadratic average of the weighted RMS value in the three directions : 

<math display="block" forcemathmode="5">a_v = \sqrt{{a_{vX}}^{2}*{k_{X}}^{2} + {a_{vY}}^{2}*{k_{Y}}^{2} + {a_{vZ}}^{2}*{k_{Z}}^{2}}</math> 
With <math>k_{X,Y,Z}</math> a factor defined in the ISO 2631 as <math>k_{X}=k_{Y}=1.4</math> and <math>k_{Z}=1</math>
 
======Ah======
The <math>A_h</math> is the RMS of the <math>W_h</math> weighted acceleration signal for hand-arms vibration measurement. For each channel, the <math>A_h</math> and <math>A_h(T)</math> will be calculated. The <math>A_h(T)</math> is the Daily exposure value, defined as : 

<math display="block" forcemathmode="5">A_h(T) = A_h*\sqrt{\frac{T}{T_m}}</math> 

With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter. 

If any sensor is defined, the total <math>A_h</math> and <math>A_h(T)</math> will be calculated for each sensor as a quadratic average of the three direction of the sensor : 
<math display="block" forcemathmode="5">A_{h Total} = \sqrt{{a_{hX}}^{2}*{k_{X}}^{2} + {a_{hY}}^{2}*{k_{Y}}^{2} + {a_{hZ}}^{2}*{k_{Z}}^{2}}</math>
 
and : 
 
<math display="block" forcemathmode="5">A_{h Total}(T) = \sqrt{{a_{hX}}^{2}*{k_{X}}^{2} + {a_{hY}}^{2}*{k_{Y}}^{2} + {a_{hZ}}^{2}*{k_{Z}}^{2}}*\sqrt{\frac{T}{T_m}}</math>
 
With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter, and <math>k_{X}=k_{Y}=k_{Z}=1</math>
 

======Peak======

This indicator is the [[NVGate_Time_Domain_Analysis#Available_results|peak amplitude]] of the vibration signal. It represent the maximal amplitude of the weighted signal. This indicator can be obtained in NVGate by [[NVGate Post Analysis|post-analysing]] the weighted signal with the [[NVGate Time Domain Analysis|TDA plugin of NVGate]].

======MTVV======
The MTVV is the Maximal Transient Vibration Value, is the maximum of the running RMS of the weighted acceleration. This value is calculated for each channel and is expressed in m/s².

The MTVV Tau is the integration time, expressed in seconds. This value can be edited before the calculation, but the ISO 2631 recommand to use 1 second. Therefore this is the default value of this parameter.

======VDV======
The VDV is the forth power Vibration Dose Value. It is calculated as a cumulative sum of the weighted acceleration at the forth power. The forth power is used to give more weight to the transient event of the signal over the periodic event. Therefore, this indicator must be used to asses the effect of shock on human health and comfort. The VDV is calculated for each channel and expressed in m/s^(1.75). 

If the "VDVTexp" box is checked, an evaluation of the VDV value over a longer time period will be calculated of each channel as : 
<math display="block" forcemathmode="5">VDV_{X,Y,Z}(T) = VDV_{X,Y,Z}*k_{X,Y,Z}*\sqrt[4]{\frac{T}{T_m}}</math> 

With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter, and <math>k_{X}=k_{Y}=1.4</math>, and <math>k_{Z}=1</math>
======MSDV======
This metric is the Motion Sickness Dose Value, used to evaluate the ride comfort in in-vehicle measurement. It is expressed in m.s^(1.5). 

Although this value will be calculated for each direction, only the Z-direction will have a prominent relevance to assess ride comfort.
======Dk======
<math>D_k</math> is the acceleration dose. It is use to evaluate the effect of vibrations on the human spine, and calculated as the 6th root of the sum of the peaks in the acceleration signal raised at the 6th power. it is expressed in m/s². Peaks are defined as the absolute maximum of the acceleration signal between two zeros crossing. In the Z direction, only the positive peak will be considered, were all positive and negative peaks are used for the X and Y directions. 

Specific filters are used to weight the acceleration signal before calculating the <math>D_k</math>. These filter are different for the vertical and horizontal direction, and are defined for a sampling rate of 160 Sample/second. Therefore, we advise to [[NVGate Recorder|record]] the signal with a low [[NVGate_Front_End#Input_settings|sampling rate]] in NVGate. 

Assessing the affect of the vibration on human spine most is important when dealing with transportation vehicular, especially from driver seat. for a better evaluation, the ISO 2631-5 advise to calculate the daily acceleration dose, defined as : 

<math display="block" forcemathmode="5">D_{X,Y,Z}(T) = D_{X,Y,Z}*\sqrt[6]{\frac{T}{T_m}}</math> 

This value will be calculated if the box "Dk Texp" is checked.

======Se======
The Se is the compressive stress on the human spine, expressed in MPa. It is calculated by the combination the Dk in the three direction. Therefore, it will only be calculated if sensors are defined in the "Select Direction" window. One value of Se will be calculated for each sensor by the formula : 
<math display="block" forcemathmode="5">Se = \sqrt[6]{\sum_{k=X,Y,Z}(D_{k}*m_{k})^6}</math> 

Where <math>m_{X} = 0,015</math> MPa/(m/s²), <math>m_{Y} = 0,035</math> MPa/(m/s²) and <math>m_{Z} = 0,032</math> MPa/(m/s²). 

To evaluate the lumbar stress over a daily exposition time, the Se(T) will also be calculated as : 
<math display="block" forcemathmode="5">Se(T) = \sqrt[6]{\sum_{k=X,Y,Z}(D_{k}(T)*m_{k})^6}</math> 

T being the total exposure duration represented by the "Reference time" parameter. 

====In the toolkit====
Before calculating the indicators in the toolkit, you must define a filter for each directions. Filters will be selected in accordance with the wanted result (Hand-arms; Whole-Body, ..) and the direction of the measurement as specified in the table [[Human_Vibration#Time-weighting_filters|describing the filters]]. Filters will be applied to the signal before calculating the indicators, but the time-filtered signal will not be saved. 
[[Image:proc_filt.png]]

You will then need to enter the reference time you want to use to estimate the parameters on a greater duration. This duration must be entered in second. The default value is 288500 second, corresponding to a 8 hours measurement: 
[[Image:Ref_Time.png]]

You will finally need to enter the MTVV Tau value. The MTVV Tau is the integration time in seconds used for the calculation of the MTVV. The ISO 2651 recommand to use 1sec. This is the default value of the setting. 

Once the filters selected and the parameters competed, you can select the metrics you want to calculate by checking the different boxes. 
[[Image:all_proc.png]] 
You can then start the processing to calculate the indicators. 

Here, we are calculating all the indicator for the "Seat_Pad_Measurement" signal. This signal contain 3 Tracks, one for each channel X, Y and Z of a three axis accelerometer. As we want to calculate the multi-axis metrics, we also define a sensor on the three tracks, called "Seat_Pas_3axis". 
[[Image:Set_up_seatPad.png]]
 
Once completed, the result can be find the currently opened project in the [[NVGate Project manager]]. A new measurement called "NAME_OF_THE_Signal_out" containing the result is created. 

[[Image:ResInProjMAn2.png]]

Each indicator is calculated for each direction and for each track of the signal. The name of the result contain the name of the track, the considered direction and the filter used for that direction (except for the <math>D_k</math> which use specific filters). The following picture show the indicators for the first track (SeatPadX) of the signal : 
[[Image:Resut_SeatPad.png]]

Here this track represent the X direction. We can remove the results in irrelevant directions (Y and Z) for this track by a right click, and repeat this operation for each channel : 

/Insert image of the result with only relevant direction when bug solve/

You can then display the result in NVGate by double clicking.

==Calculating the other indicators with NVGate==
===<math>A_w</math>===
<math>A_w</math> is the daily vibration dose. It is calculated from an average of the RMS values form the weighted signal and represent the "quantity" of vibration the human body will receive when using of the tested equipment.

This value is defined as : <math>A_w = \sqrt{(k_{x}*a_{w_{x}})^2+(k_{y}*a_{w_{y}})^2+(k_{z}*a_{w_{z}})^2}</math>, with <math>k_i</math> defined in the standard and <math>a_{w_{x}}</math> the RMS value of the weighted acceleration signal in accordance to the direction, as defined in the [[Human_Vibration#Time-weighting_filters|table of the precedent section]]. 

====Calculation in NVGate====

To calculate the <math>A_w</math> in NVGate, calculmate the [[NVGate Time Domain Analysis#RMS|RMS level]] of the weighted signal in [[NVGate_Post_Analysis|Post analysis]]. Here, we will calculate the <math>A_w</math> for the SeatPad measurement as defined for a whole-body measurement in the ISO 2651. According to the [Human_Vibration#Time-weighting_filters|table]], we need to calculate the RMS level of the <math>W_k</math> weighted signal for the Z direction and the <math>W_d</math> weighted signal for the X and Y directions. You then must [[NVGate Display|display]] the three RMS level in the same window : 

[[Image:RMS.png|500px]]

===Ah and Ah(8)===
===VDV Texp===

==Practical information about measurements==

Durée de mesure
Type de mesure
Placement des capteurs
Exemple de capteur : [[https://www.dytran.com/Search/?searchText=seat+pad|Seat Pad accelerometer]]
Capteur avec adaptateurs hand arms

Human Vibration

2020-12-07T14:26:49Z

NIcolasAegerter: /* In the toolkit */

The OROS Body Vibration tool allow you to evaluate the affect of vibration on the human body according to standards ISO 2651 and ISO 5349. These standard define measurement practice and vibration signal analysis to evaluate the affect on health and and comfort of environmental and equipment vibrations on the Human body. 

The ISO 2651 describe the affect on health and comfort of vibration on the whole-body in transportation system, and the ISO 5349 the affect on health of vibration on hands and arms when manipulating machine-tools or vibrating objects. In the following, we will see how to use OROS to evaluate these effect. 
 
This is a post analysis toolkit, operating alongside NVGate after the recording of the signal and will help you to calculate time-weighted signal of acceleration and specific indicators both defined in the standards. 
[[Image:OROS_BodyVib2.png|800px|none]]
 
==Download & install==
Download the program here (version from 03/12/2020) :
https://orossas.sharepoint.com/:u:/g/support/EXCVJE_bLGZMgHg1mr4p1hwB5ICqdqKBXTK3kH9stxozKg?e=UJg72W

Once downloaded, you can unzip the folder and lunch the installer program Setup_OROS_BodyVibration_Tool_vXX.exe. Follow the step of the program to properly install the software. 

The program will be installed in "C:\OROS\Programs\ExternalTools". Shortcuts are created on the main desktop, in the Windows Start program and in the "Link" repertory of NVGate. By that way you can directly run the program from NVGate.

==How to use==

<ol>
<li>Launch NVGate </li>
<li>Launch OROS_BodyVibration_Tool.exe </li>
<li>Open a project in NVGate </li>

[[File:Open_Proj.png]]
 
<li>In the tool, Click on list measurement to list all the measurement present in the project (only the measurement where the signal files are actually on the disk will be displayed. Ensure you have [[NVGate_Project_manager#Uploading.2FDownloading|downloaded signal from the OR3X disk]]) </li>
[[Image:List_Meas.png|400px|none]]
<li>Add the measurement you want to analyse in the "selected list" area using the ">>" button. Use the "<<" button to remove file if needed. </li>
[[Image:Add_Rmv.png|400px|none]]
<li>Click on "Select Directions" to set the direction and sensor for each channel (This step is not necessary if you only want the time-weighted signals). </li>
[[Image:Select_DOF.png|400px|none]]
<li>Select the weighting you want to apply on the time signal </li>
[[Image:Select_Filter.png|400px|none]]
<li>Select the weighting you want to apply for each direction X, Y and Z used for the indicators </li>
[[Image:Select_Process_Filt.png|400px|none]]
<li>Select the metrics you want to calculate </li>
[[Image:Select_Metric.png|400px|none]]
<li>Click on "Start Processing" </li>
[[Image:Strat_Proc.png|400px|none]]
<li>The processing is completed when a the following pop-up window appear. The results and weighted signal have added to the current NVGate project. See the next sections for details. </li>
[[Image:The_End.png|400px|none]]
</ol>

==Toolkit results==
===Time-weighted signal===
Studies of the affect of vibrations on the human body suggest that part of the body don't have the same response to vibrations, and will be sensitive to specific frequencies and transient component of vibration signal. In order to represent the sensitivity of the human boy, ISO standards defined time-weighting that must applied to the signal according to the environmental conditions. The following part present you how to apply time-weighting filters to your signal using the toolkit.
====Time-weighting filters====
As defined in the standards, specific time weighting must be applied to the acceleration signal in order to represent the effect of vibrations on health and comfort. Here is the list of the different time-weighting filters implemented in the toolkit : 
{| class="wikitable" style="margin: auto;"
|+style="caption-side:bottom;"|''Time-weighting filters''
|-
|style="height:30px; width:100px;"|<math>W_k</math>
|Time weighting for the Z axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_d</math>
|Time weighting for the X and Y axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_h</math>
|Time weighting for the hand-arms measurement in any direction (ISO 5349-1)
|-
|style="height:30px; width:100px;"|<math>W_f</math>
|Time weighting for motion sickness measurement in the vertical direction (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_c</math>
|Time weighting for the X axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_e</math>
|Time weighting for all rotational directions for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_j</math>
|Time weighting for the Z axis for head comfort measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_m</math>
|Time weighting for all directions for building's vibration comfort measurement (ISO 2651-2)
|}

Filters have been validated from 0.5 to 10kHz at 25.6kSample/second.

====Usage in the toolkit====
The toolkit allow you to calculate the filtered raw signal with any of the above weighting filters. This will allow you to display [[NVGate FFT Analyzer|spectrums]] and calculate RMS via [[NVGate_Post_Analysis|post-analysis]] in NVGate.

To calculate the raw weighted signal, simply select the filters you want in the "Time signal filters" section :

[[Image:Filter2.png]]

Once the processing is completed, a new measurement containing the filtered signal for each selected filter is created in [[NVGate Project manager|NVGate Project Manager]] :

[[Image:Filtered_Sig.png|400px]]
 
You can then load the new signals in the player as any NVGate signal. Each track of the signal is filtered with the corresponding filter. 

[[Image:Sig_In_ Player.png|800px]]

===Health and comfort indicator===
In addition to the time-weighting filters, the ISO standards present a series of specific metrics to evaluate the affect of vibrations on the Human body. The following section will present you how to use the toolkit to access these metrics.
====Indicators====

{| class="wikitable" style="margin: auto;"
|+style="caption-side:bottom;"|''Body vibration indicators''
|-
|style="height:30px; width:100px;"|<math>A_w</math>
|RMS of the weighted acceleration magnitude.
|-
|style="height:30px; width:100px;"|<math>a_v</math>
|Total RMS value calculated as a quadratic average of the three direction for each tri-axial sensor.
|-
|style="height:30px; width:100px;"|<math>A_h</math>
|RMS of the <math>W_h</math> weighted acceleration magnitude.
|-
|style="height:30px; width:100px;"|<math>Peak</math>
|Amplitude Peak of the vibration; maximal amplitude of the signal from the 0 (Calculated from Post processing in NVGate)
|-
|style="height:30px; width:100px;"|<math>Crest factor</math>
|Ratio between the Peak level and the RMS of the weighted signal(Calculated from Post processing in NVGate)
|-
|style="height:30px; width:100px;"|<math>MTVV</math>
|Maximum Transient Vibration Value, represent the maximal RMS value of the signal
|-
|style="height:30px; width:100px;"|<math>VDV</math>
|Vibration Dose Value, taking into account the temporal shocks in the signal
|-
|style="height:30px; width:100px;"|<math>MSDV</math>
|Motion Sickness Dose Value, representing the comfort in transportation measurement
|-
|style="height:30px; width:100px;"|<math>D_k</math>
|The Acceleration Dose, representing the affect of the vibration on the spine
|-
|style="height:30px; width:100px;"|<math>Se</math>
|The equivalent Static compression stress on the spine, caused by repeated shocks
|}

======Aw======

The <math>A_w</math> is the RMS of the weighted acceleration signal. The weighting is applied in accordance with the direction set for each channel and the weighting filter defined for the direction. 

For each channel, the <math>A_w</math> and <math>A_w(T)</math> will be calculated. The <math>A_w(T)</math> is the Daily exposure value, defined as : 
<math display="block" forcemathmode="5">A_w(T) = A_w*k_{i}*\sqrt{\frac{T}{T_m}}</math>
 
With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter. the <math>k_i</math> factor is defined in the ISO 2631 as <math>k_X = k_Y = 1.4</math> and <math>k_Z = 1</math>.

When comparing result from one measurement point in the three direction, the maximum of the Daily exposure value must be used as the total daily exposure value at that point : 
<math display="block" forcemathmode="5">A_w(T) = max(A_{wX}(T), A_{wY}(T), A_{wZ}(T)) </math>
 
======av======
The <math>a_v</math> is the total RMS vibration value of the weighted acceleration signal. This value will only be calculated if a sensor have been defined in the definition of direction window.

For each tri-axial sensor, the <math>a_v</math> will be calculated as a quadratic average of the weighted RMS value in the three directions : 

<math display="block" forcemathmode="5">a_v = \sqrt{{a_{vX}}^{2}*{k_{X}}^{2} + {a_{vY}}^{2}*{k_{Y}}^{2} + {a_{vZ}}^{2}*{k_{Z}}^{2}}</math> 
With <math>k_{X,Y,Z}</math> a factor defined in the ISO 2631 as <math>k_{X}=k_{Y}=1.4</math> and <math>k_{Z}=1</math>
 
======Ah======
The <math>A_h</math> is the RMS of the <math>W_h</math> weighted acceleration signal for hand-arms vibration measurement. For each channel, the <math>A_h</math> and <math>A_h(T)</math> will be calculated. The <math>A_h(T)</math> is the Daily exposure value, defined as : 

<math display="block" forcemathmode="5">A_h(T) = A_h*\sqrt{\frac{T}{T_m}}</math> 

With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter. 

If any sensor is defined, the total <math>A_h</math> and <math>A_h(T)</math> will be calculated for each sensor as a quadratic average of the three direction of the sensor : 
<math display="block" forcemathmode="5">A_{h Total} = \sqrt{{a_{hX}}^{2}*{k_{X}}^{2} + {a_{hY}}^{2}*{k_{Y}}^{2} + {a_{hZ}}^{2}*{k_{Z}}^{2}}</math>
 
and : 
 
<math display="block" forcemathmode="5">A_{h Total}(T) = \sqrt{{a_{hX}}^{2}*{k_{X}}^{2} + {a_{hY}}^{2}*{k_{Y}}^{2} + {a_{hZ}}^{2}*{k_{Z}}^{2}}*\sqrt{\frac{T}{T_m}}</math>
 
With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter, and <math>k_{X}=k_{Y}=k_{Z}=1</math>
 

======Peak======

This indicator is the [[NVGate_Time_Domain_Analysis#Available_results|peak amplitude]] of the vibration signal. It represent the maximal amplitude of the weighted signal. This indicator can be obtained in NVGate by [[NVGate Post Analysis|post-analysing]] the weighted signal with the [[NVGate Time Domain Analysis|TDA plugin of NVGate]].

======MTVV======
The MTVV is the Maximal Transient Vibration Value, is the maximum of the running RMS of the weighted acceleration. This value is calculated for each channel and is expressed in m/s².

The MTVV Tau is the integration time, expressed in seconds. This value can be edited before the calculation, but the ISO 2631 recommand to use 1 second. Therefore this is the default value of this parameter.

======VDV======
The VDV is the forth power Vibration Dose Value. It is calculated as a cumulative sum of the weighted acceleration at the forth power. The forth power is used to give more weight to the transient event of the signal over the periodic event. Therefore, this indicator must be used to asses the effect of shock on human health and comfort. The VDV is calculated for each channel and expressed in m/s^(1.75). 

If the "VDVTexp" box is checked, an evaluation of the VDV value over a longer time period will be calculated of each channel as : 
<math display="block" forcemathmode="5">VDV_{X,Y,Z}(T) = VDV_{X,Y,Z}*k_{X,Y,Z}*\sqrt[4]{\frac{T}{T_m}}</math> 

With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter, and <math>k_{X}=k_{Y}=1.4</math>, and <math>k_{Z}=1</math>
======MSDV======
This metric is the Motion Sickness Dose Value, used to evaluate the ride comfort in in-vehicle measurement. It is expressed in m.s^(1.5). 

Although this value will be calculated for each direction, only the Z-direction will have a prominent relevance to assess ride comfort.
======Dk======
<math>D_k</math> is the acceleration dose. It is use to evaluate the effect of vibrations on the human spine, and calculated as the 6th root of the sum of the peaks in the acceleration signal raised at the 6th power. it is expressed in m/s². Peaks are defined as the absolute maximum of the acceleration signal between two zeros crossing. In the Z direction, only the positive peak will be considered, were all positive and negative peaks are used for the X and Y directions. 

Specific filters are used to weight the acceleration signal before calculating the <math>D_k</math>. These filter are different for the vertical and horizontal direction, and are defined for a sampling rate of 160 Sample/second. Therefore, we advise to [[NVGate Recorder|record]] the signal with a low [[NVGate_Front_End#Input_settings|sampling rate]] in NVGate. 

Assessing the affect of the vibration on human spine most is important when dealing with transportation vehicular, especially from driver seat. for a better evaluation, the ISO 2631-5 advise to calculate the daily acceleration dose, defined as : 

<math display="block" forcemathmode="5">D_{X,Y,Z}(T) = D_{X,Y,Z}*\sqrt[6]{\frac{T}{T_m}}</math> 

This value will be calculated if the box "Dk Texp" is checked.

======Se======
The Se is the compressive stress on the human spine, expressed in MPa. It is calculated by the combination the Dk in the three direction. Therefore, it will only be calculated if sensors are defined in the "Select Direction" window. One value of Se will be calculated for each sensor by the formula : 
<math display="block" forcemathmode="5">Se = \sqrt[6]{\sum_{k=X,Y,Z}(D_{k}*m_{k})^6}</math> 

Where <math>m_{X} = 0,015</math> MPa/(m/s²), <math>m_{Y} = 0,035</math> MPa/(m/s²) and <math>m_{Z} = 0,032</math> MPa/(m/s²). 

To evaluate the lumbar stress over a daily exposition time, the Se(T) will also be calculated as : 
<math display="block" forcemathmode="5">Se(T) = \sqrt[6]{\sum_{k=X,Y,Z}(D_{k}(T)*m_{k})^6}</math> 

T being the total exposure duration represented by the "Reference time" parameter. 

====In the toolkit====
Before calculating the indicators in the toolkit, you must define a filter for each directions. Filters will be selected in accordance with the wanted result (Hand-arms; Whole-Body, ..) and the direction of the measurement as specified in the table [[Human_Vibration#Time-weighting_filters|describing the filters]]. Filters will be applied to the signal before calculating the indicators, but the time-filtered signal will not be saved. 
[[Image:proc_filt.png]]

You will then need to enter the reference time you want to use to estimate the parameters on a greater duration. This duration must be entered in second. The default value is 288500 second, corresponding to a 8 hours measurement: 
[[Image:Ref_Time.png]]

You will finally need to enter the MTVV Tau value. The MTVV Tau is the integration time in seconds used for the calculation of the MTVV. The ISO 2651 recommand to use 1sec. This is the default value of the setting. 

Once the filters selected and the parameters competed, you can select the metrics you want to calculate by checking the different boxes. 
[[Image:all_proc.png]] 
You can then start the processing to calculate the indicators. 

Here, we are calculating all the indicator for the "Seat_Pad_Measurement" signal. This signal contain 3 Tracks, one for each channel X, Y and Z of a three axis accelerometer. As we want to calculate the multi-axis metrics, we also define a sensor on the three tracks, called "Seat_Pas_3axis". 
[[Image:Set_up_seatPad.png]]
 
Once completed, the result can be find the currently opened project in the [[NVGate Project manager]]. A new measurement called "NAME_OF_THE_Signal_out" containing the result is created. 

[[Image:ResInProjMAn2.png]]

Each indicator is calculated for each direction and for each track of the signal. The name of the result contain the name of the track, the considered direction and the filter used for that direction (except for the <math>D_k</math> which use specific filters). The following picture show the indicators for the first track (SeatPadX) of the signal : 
[[Image:Result_SeatPad.png]]

Here this track represent the X direction. We can remove the results in irrelevant directions (Y and Z) for this track by a right click, and repeat this operation for each channel : 

/Insert image of the result with only relevant direction when bug solve/

You can then display the result in NVGate by double clicking.

==Calculating the other indicators with NVGate==
===<math>A_w</math>===
<math>A_w</math> is the daily vibration dose. It is calculated from an average of the RMS values form the weighted signal and represent the "quantity" of vibration the human body will receive when using of the tested equipment.

This value is defined as : <math>A_w = \sqrt{(k_{x}*a_{w_{x}})^2+(k_{y}*a_{w_{y}})^2+(k_{z}*a_{w_{z}})^2}</math>, with <math>k_i</math> defined in the standard and <math>a_{w_{x}}</math> the RMS value of the weighted acceleration signal in accordance to the direction, as defined in the [[Human_Vibration#Time-weighting_filters|table of the precedent section]]. 

====Calculation in NVGate====

To calculate the <math>A_w</math> in NVGate, calculmate the [[NVGate Time Domain Analysis#RMS|RMS level]] of the weighted signal in [[NVGate_Post_Analysis|Post analysis]]. Here, we will calculate the <math>A_w</math> for the SeatPad measurement as defined for a whole-body measurement in the ISO 2651. According to the [Human_Vibration#Time-weighting_filters|table]], we need to calculate the RMS level of the <math>W_k</math> weighted signal for the Z direction and the <math>W_d</math> weighted signal for the X and Y directions. You then must [[NVGate Display|display]] the three RMS level in the same window : 

[[Image:RMS.png|500px]]

===Ah and Ah(8)===
===VDV Texp===

==Practical information about measurements==

Durée de mesure
Type de mesure
Placement des capteurs
Exemple de capteur : [[https://www.dytran.com/Search/?searchText=seat+pad|Seat Pad accelerometer]]
Capteur avec adaptateurs hand arms

File:Resut SeatPad.png

2020-12-07T14:22:53Z

NIcolasAegerter: File uploaded with MsUpload

File uploaded with MsUpload

Human Vibration

2020-12-07T12:10:54Z

NIcolasAegerter: /* In the toolkit */

The OROS Body Vibration tool allow you to evaluate the affect of vibration on the human body according to standards ISO 2651 and ISO 5349. These standard define measurement practice and vibration signal analysis to evaluate the affect on health and and comfort of environmental and equipment vibrations on the Human body. 

The ISO 2651 describe the affect on health and comfort of vibration on the whole-body in transportation system, and the ISO 5349 the affect on health of vibration on hands and arms when manipulating machine-tools or vibrating objects. In the following, we will see how to use OROS to evaluate these effect. 
 
This is a post analysis toolkit, operating alongside NVGate after the recording of the signal and will help you to calculate time-weighted signal of acceleration and specific indicators both defined in the standards. 
[[Image:OROS_BodyVib2.png|800px|none]]
 
==Download & install==
Download the program here (version from 03/12/2020) :
https://orossas.sharepoint.com/:u:/g/support/EXCVJE_bLGZMgHg1mr4p1hwB5ICqdqKBXTK3kH9stxozKg?e=UJg72W

Once downloaded, you can unzip the folder and lunch the installer program Setup_OROS_BodyVibration_Tool_vXX.exe. Follow the step of the program to properly install the software. 

The program will be installed in "C:\OROS\Programs\ExternalTools". Shortcuts are created on the main desktop, in the Windows Start program and in the "Link" repertory of NVGate. By that way you can directly run the program from NVGate.

==How to use==

<ol>
<li>Launch NVGate </li>
<li>Launch OROS_BodyVibration_Tool.exe </li>
<li>Open a project in NVGate </li>

[[File:Open_Proj.png]]
 
<li>In the tool, Click on list measurement to list all the measurement present in the project (only the measurement where the signal files are actually on the disk will be displayed. Ensure you have [[NVGate_Project_manager#Uploading.2FDownloading|downloaded signal from the OR3X disk]]) </li>
[[Image:List_Meas.png|400px|none]]
<li>Add the measurement you want to analyse in the "selected list" area using the ">>" button. Use the "<<" button to remove file if needed. </li>
[[Image:Add_Rmv.png|400px|none]]
<li>Click on "Select Directions" to set the direction and sensor for each channel (This step is not necessary if you only want the time-weighted signals). </li>
[[Image:Select_DOF.png|400px|none]]
<li>Select the weighting you want to apply on the time signal </li>
[[Image:Select_Filter.png|400px|none]]
<li>Select the weighting you want to apply for each direction X, Y and Z used for the indicators </li>
[[Image:Select_Process_Filt.png|400px|none]]
<li>Select the metrics you want to calculate </li>
[[Image:Select_Metric.png|400px|none]]
<li>Click on "Start Processing" </li>
[[Image:Strat_Proc.png|400px|none]]
<li>The processing is completed when a the following pop-up window appear. The results and weighted signal have added to the current NVGate project. See the next sections for details. </li>
[[Image:The_End.png|400px|none]]
</ol>

==Toolkit results==
===Time-weighted signal===
Studies of the affect of vibrations on the human body suggest that part of the body don't have the same response to vibrations, and will be sensitive to specific frequencies and transient component of vibration signal. In order to represent the sensitivity of the human boy, ISO standards defined time-weighting that must applied to the signal according to the environmental conditions. The following part present you how to apply time-weighting filters to your signal using the toolkit.
====Time-weighting filters====
As defined in the standards, specific time weighting must be applied to the acceleration signal in order to represent the effect of vibrations on health and comfort. Here is the list of the different time-weighting filters implemented in the toolkit : 
{| class="wikitable" style="margin: auto;"
|+style="caption-side:bottom;"|''Time-weighting filters''
|-
|style="height:30px; width:100px;"|<math>W_k</math>
|Time weighting for the Z axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_d</math>
|Time weighting for the X and Y axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_h</math>
|Time weighting for the hand-arms measurement in any direction (ISO 5349-1)
|-
|style="height:30px; width:100px;"|<math>W_f</math>
|Time weighting for motion sickness measurement in the vertical direction (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_c</math>
|Time weighting for the X axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_e</math>
|Time weighting for all rotational directions for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_j</math>
|Time weighting for the Z axis for head comfort measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_m</math>
|Time weighting for all directions for building's vibration comfort measurement (ISO 2651-2)
|}

Filters have been validated from 0.5 to 10kHz at 25.6kSample/second.

====Usage in the toolkit====
The toolkit allow you to calculate the filtered raw signal with any of the above weighting filters. This will allow you to display [[NVGate FFT Analyzer|spectrums]] and calculate RMS via [[NVGate_Post_Analysis|post-analysis]] in NVGate.

To calculate the raw weighted signal, simply select the filters you want in the "Time signal filters" section :

[[Image:Filter2.png]]

Once the processing is completed, a new measurement containing the filtered signal for each selected filter is created in [[NVGate Project manager|NVGate Project Manager]] :

[[Image:Filtered_Sig.png|400px]]
 
You can then load the new signals in the player as any NVGate signal. Each track of the signal is filtered with the corresponding filter. 

[[Image:Sig_In_ Player.png|800px]]

===Health and comfort indicator===
In addition to the time-weighting filters, the ISO standards present a series of specific metrics to evaluate the affect of vibrations on the Human body. The following section will present you how to use the toolkit to access these metrics.
====Indicators====

{| class="wikitable" style="margin: auto;"
|+style="caption-side:bottom;"|''Body vibration indicators''
|-
|style="height:30px; width:100px;"|<math>A_w</math>
|RMS of the weighted acceleration magnitude.
|-
|style="height:30px; width:100px;"|<math>a_v</math>
|Total RMS value calculated as a quadratic average of the three direction for each tri-axial sensor.
|-
|style="height:30px; width:100px;"|<math>A_h</math>
|RMS of the <math>W_h</math> weighted acceleration magnitude.
|-
|style="height:30px; width:100px;"|<math>Peak</math>
|Amplitude Peak of the vibration; maximal amplitude of the signal from the 0 (Calculated from Post processing in NVGate)
|-
|style="height:30px; width:100px;"|<math>Crest factor</math>
|Ratio between the Peak level and the RMS of the weighted signal(Calculated from Post processing in NVGate)
|-
|style="height:30px; width:100px;"|<math>MTVV</math>
|Maximum Transient Vibration Value, represent the maximal RMS value of the signal
|-
|style="height:30px; width:100px;"|<math>VDV</math>
|Vibration Dose Value, taking into account the temporal shocks in the signal
|-
|style="height:30px; width:100px;"|<math>MSDV</math>
|Motion Sickness Dose Value, representing the comfort in transportation measurement
|-
|style="height:30px; width:100px;"|<math>D_k</math>
|The Acceleration Dose, representing the affect of the vibration on the spine
|-
|style="height:30px; width:100px;"|<math>Se</math>
|The equivalent Static compression stress on the spine, caused by repeated shocks
|}

======Aw======

The <math>A_w</math> is the RMS of the weighted acceleration signal. The weighting is applied in accordance with the direction set for each channel and the weighting filter defined for the direction. 

For each channel, the <math>A_w</math> and <math>A_w(T)</math> will be calculated. The <math>A_w(T)</math> is the Daily exposure value, defined as : 
<math display="block" forcemathmode="5">A_w(T) = A_w*k_{i}*\sqrt{\frac{T}{T_m}}</math>
 
With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter. the <math>k_i</math> factor is defined in the ISO 2631 as <math>k_X = k_Y = 1.4</math> and <math>k_Z = 1</math>.

When comparing result from one measurement point in the three direction, the maximum of the Daily exposure value must be used as the total daily exposure value at that point : 
<math display="block" forcemathmode="5">A_w(T) = max(A_{wX}(T), A_{wY}(T), A_{wZ}(T)) </math>
 
======av======
The <math>a_v</math> is the total RMS vibration value of the weighted acceleration signal. This value will only be calculated if a sensor have been defined in the definition of direction window.

For each tri-axial sensor, the <math>a_v</math> will be calculated as a quadratic average of the weighted RMS value in the three directions : 

<math display="block" forcemathmode="5">a_v = \sqrt{{a_{vX}}^{2}*{k_{X}}^{2} + {a_{vY}}^{2}*{k_{Y}}^{2} + {a_{vZ}}^{2}*{k_{Z}}^{2}}</math> 
With <math>k_{X,Y,Z}</math> a factor defined in the ISO 2631 as <math>k_{X}=k_{Y}=1.4</math> and <math>k_{Z}=1</math>
 
======Ah======
The <math>A_h</math> is the RMS of the <math>W_h</math> weighted acceleration signal for hand-arms vibration measurement. For each channel, the <math>A_h</math> and <math>A_h(T)</math> will be calculated. The <math>A_h(T)</math> is the Daily exposure value, defined as : 

<math display="block" forcemathmode="5">A_h(T) = A_h*\sqrt{\frac{T}{T_m}}</math> 

With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter. 

If any sensor is defined, the total <math>A_h</math> and <math>A_h(T)</math> will be calculated for each sensor as a quadratic average of the three direction of the sensor : 
<math display="block" forcemathmode="5">A_{h Total} = \sqrt{{a_{hX}}^{2}*{k_{X}}^{2} + {a_{hY}}^{2}*{k_{Y}}^{2} + {a_{hZ}}^{2}*{k_{Z}}^{2}}</math>
 
and : 
 
<math display="block" forcemathmode="5">A_{h Total}(T) = \sqrt{{a_{hX}}^{2}*{k_{X}}^{2} + {a_{hY}}^{2}*{k_{Y}}^{2} + {a_{hZ}}^{2}*{k_{Z}}^{2}}*\sqrt{\frac{T}{T_m}}</math>
 
With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter, and <math>k_{X}=k_{Y}=k_{Z}=1</math>
 

======Peak======

This indicator is the [[NVGate_Time_Domain_Analysis#Available_results|peak amplitude]] of the vibration signal. It represent the maximal amplitude of the weighted signal. This indicator can be obtained in NVGate by [[NVGate Post Analysis|post-analysing]] the weighted signal with the [[NVGate Time Domain Analysis|TDA plugin of NVGate]].

======MTVV======
The MTVV is the Maximal Transient Vibration Value, is the maximum of the running RMS of the weighted acceleration. This value is calculated for each channel and is expressed in m/s².

The MTVV Tau is the integration time, expressed in seconds. This value can be edited before the calculation, but the ISO 2631 recommand to use 1 second. Therefore this is the default value of this parameter.

======VDV======
The VDV is the forth power Vibration Dose Value. It is calculated as a cumulative sum of the weighted acceleration at the forth power. The forth power is used to give more weight to the transient event of the signal over the periodic event. Therefore, this indicator must be used to asses the effect of shock on human health and comfort. The VDV is calculated for each channel and expressed in m/s^(1.75). 

If the "VDVTexp" box is checked, an evaluation of the VDV value over a longer time period will be calculated of each channel as : 
<math display="block" forcemathmode="5">VDV_{X,Y,Z}(T) = VDV_{X,Y,Z}*k_{X,Y,Z}*\sqrt[4]{\frac{T}{T_m}}</math> 

With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter, and <math>k_{X}=k_{Y}=1.4</math>, and <math>k_{Z}=1</math>
======MSDV======
This metric is the Motion Sickness Dose Value, used to evaluate the ride comfort in in-vehicle measurement. It is expressed in m.s^(1.5). 

Although this value will be calculated for each direction, only the Z-direction will have a prominent relevance to assess ride comfort.
======Dk======
<math>D_k</math> is the acceleration dose. It is use to evaluate the effect of vibrations on the human spine, and calculated as the 6th root of the sum of the peaks in the acceleration signal raised at the 6th power. it is expressed in m/s². Peaks are defined as the absolute maximum of the acceleration signal between two zeros crossing. In the Z direction, only the positive peak will be considered, were all positive and negative peaks are used for the X and Y directions. 

Specific filters are used to weight the acceleration signal before calculating the <math>D_k</math>. These filter are different for the vertical and horizontal direction, and are defined for a sampling rate of 160 Sample/second. Therefore, we advise to [[NVGate Recorder|record]] the signal with a low [[NVGate_Front_End#Input_settings|sampling rate]] in NVGate. 

Assessing the affect of the vibration on human spine most is important when dealing with transportation vehicular, especially from driver seat. for a better evaluation, the ISO 2631-5 advise to calculate the daily acceleration dose, defined as : 

<math display="block" forcemathmode="5">D_{X,Y,Z}(T) = D_{X,Y,Z}*\sqrt[6]{\frac{T}{T_m}}</math> 

This value will be calculated if the box "Dk Texp" is checked.

======Se======
The Se is the compressive stress on the human spine, expressed in MPa. It is calculated by the combination the Dk in the three direction. Therefore, it will only be calculated if sensors are defined in the "Select Direction" window. One value of Se will be calculated for each sensor by the formula : 
<math display="block" forcemathmode="5">Se = \sqrt[6]{\sum_{k=X,Y,Z}(D_{k}*m_{k})^6}</math> 

Where <math>m_{X} = 0,015</math> MPa/(m/s²), <math>m_{Y} = 0,035</math> MPa/(m/s²) and <math>m_{Z} = 0,032</math> MPa/(m/s²). 

To evaluate the lumbar stress over a daily exposition time, the Se(T) will also be calculated as : 
<math display="block" forcemathmode="5">Se(T) = \sqrt[6]{\sum_{k=X,Y,Z}(D_{k}(T)*m_{k})^6}</math> 

T being the total exposure duration represented by the "Reference time" parameter. 

====In the toolkit====
Before calculating the indicators in the toolkit, you must define a filter for each directions. Filters will be selected in accordance with the wanted result (Hand-arms; Whole-Body, ..) and the direction of the measurement as specified in the table [[Human_Vibration#Time-weighting_filters|describing the filters]]. Filters will be applied to the signal before calculating the indicators, but the time-filtered signal will not be saved. 
[[Image:proc_filt.png]]

You will then need to enter the reference time you want to use to estimate the parameters on a greater duration. This duration must be entered in second. The default value is 288500 second, corresponding to a 8 hours measurement: 
[[Image:Ref_Time.png]]

You will finally need to enter the MTVV Tau value. The MTVV Tau is the integration time in seconds used for the calculation of the MTVV. The ISO 2651 recommand to use 1sec. This is the default value of the setting. 

Once the filters selected and the parameters competed, you can select the metrics you want to calculate by checking the different boxes. 
[[Image:all_proc.png]] 
You can then start the processing to calculate the indicators. 

Here, we are calculating all the indicator for the "Seat_Pad_Measurement" signal. This signal contain 3 Tracks, one for each channel X, Y and Z of a three axis accelerometer. As we want to calculate the multi-axis metrics, we also define a sensor on the three tracks, called "Seat_Pas_3axis". 
[[Image:Set_up_seatPad.png]]
 
Once completed, the result can be find the currently opened project in the [[NVGate Project manager]]. A new measurement called "NAME_OF_THE_Signal_out" containing the result is created. 

[[Image:ResInProjMAn2.png]]

Each indicator is calculated for each direction and for each track of the signal. The name of the result contain the name of the track, the considered direction and the filter used for that direction (except for the <math>D_k</math> which use specific filters). The following picture show the indicators for the first track (SeatPadX) of the signal : 
[[Image:Result_for_track.png]]

Here this track represent the X direction. We can remove the results in irrelevant directions (Y and Z) for this track by a right click, and repeat this operation for each channel : 

/Insert image of the result with only relevant direction when bug solve/

You can then display the result in NVGate by double clicking.

==Calculating the other indicators with NVGate==
===<math>A_w</math>===
<math>A_w</math> is the daily vibration dose. It is calculated from an average of the RMS values form the weighted signal and represent the "quantity" of vibration the human body will receive when using of the tested equipment.

This value is defined as : <math>A_w = \sqrt{(k_{x}*a_{w_{x}})^2+(k_{y}*a_{w_{y}})^2+(k_{z}*a_{w_{z}})^2}</math>, with <math>k_i</math> defined in the standard and <math>a_{w_{x}}</math> the RMS value of the weighted acceleration signal in accordance to the direction, as defined in the [[Human_Vibration#Time-weighting_filters|table of the precedent section]]. 

====Calculation in NVGate====

To calculate the <math>A_w</math> in NVGate, calculmate the [[NVGate Time Domain Analysis#RMS|RMS level]] of the weighted signal in [[NVGate_Post_Analysis|Post analysis]]. Here, we will calculate the <math>A_w</math> for the SeatPad measurement as defined for a whole-body measurement in the ISO 2651. According to the [Human_Vibration#Time-weighting_filters|table]], we need to calculate the RMS level of the <math>W_k</math> weighted signal for the Z direction and the <math>W_d</math> weighted signal for the X and Y directions. You then must [[NVGate Display|display]] the three RMS level in the same window : 

[[Image:RMS.png|500px]]

===Ah and Ah(8)===
===VDV Texp===

==Practical information about measurements==

Durée de mesure
Type de mesure
Placement des capteurs
Exemple de capteur : [[https://www.dytran.com/Search/?searchText=seat+pad|Seat Pad accelerometer]]
Capteur avec adaptateurs hand arms

File:Set up seatPad.png

2020-12-07T12:10:41Z

NIcolasAegerter: File uploaded with MsUpload

File uploaded with MsUpload

Human Vibration

2020-12-07T11:35:23Z

NIcolasAegerter: /* In the toolkit */

The OROS Body Vibration tool allow you to evaluate the affect of vibration on the human body according to standards ISO 2651 and ISO 5349. These standard define measurement practice and vibration signal analysis to evaluate the affect on health and and comfort of environmental and equipment vibrations on the Human body. 

The ISO 2651 describe the affect on health and comfort of vibration on the whole-body in transportation system, and the ISO 5349 the affect on health of vibration on hands and arms when manipulating machine-tools or vibrating objects. In the following, we will see how to use OROS to evaluate these effect. 
 
This is a post analysis toolkit, operating alongside NVGate after the recording of the signal and will help you to calculate time-weighted signal of acceleration and specific indicators both defined in the standards. 
[[Image:OROS_BodyVib2.png|800px|none]]
 
==Download & install==
Download the program here (version from 03/12/2020) :
https://orossas.sharepoint.com/:u:/g/support/EXCVJE_bLGZMgHg1mr4p1hwB5ICqdqKBXTK3kH9stxozKg?e=UJg72W

Once downloaded, you can unzip the folder and lunch the installer program Setup_OROS_BodyVibration_Tool_vXX.exe. Follow the step of the program to properly install the software. 

The program will be installed in "C:\OROS\Programs\ExternalTools". Shortcuts are created on the main desktop, in the Windows Start program and in the "Link" repertory of NVGate. By that way you can directly run the program from NVGate.

==How to use==

<ol>
<li>Launch NVGate </li>
<li>Launch OROS_BodyVibration_Tool.exe </li>
<li>Open a project in NVGate </li>

[[File:Open_Proj.png]]
 
<li>In the tool, Click on list measurement to list all the measurement present in the project (only the measurement where the signal files are actually on the disk will be displayed. Ensure you have [[NVGate_Project_manager#Uploading.2FDownloading|downloaded signal from the OR3X disk]]) </li>
[[Image:List_Meas.png|400px|none]]
<li>Add the measurement you want to analyse in the "selected list" area using the ">>" button. Use the "<<" button to remove file if needed. </li>
[[Image:Add_Rmv.png|400px|none]]
<li>Click on "Select Directions" to set the direction and sensor for each channel (This step is not necessary if you only want the time-weighted signals). </li>
[[Image:Select_DOF.png|400px|none]]
<li>Select the weighting you want to apply on the time signal </li>
[[Image:Select_Filter.png|400px|none]]
<li>Select the weighting you want to apply for each direction X, Y and Z used for the indicators </li>
[[Image:Select_Process_Filt.png|400px|none]]
<li>Select the metrics you want to calculate </li>
[[Image:Select_Metric.png|400px|none]]
<li>Click on "Start Processing" </li>
[[Image:Strat_Proc.png|400px|none]]
<li>The processing is completed when a the following pop-up window appear. The results and weighted signal have added to the current NVGate project. See the next sections for details. </li>
[[Image:The_End.png|400px|none]]
</ol>

==Toolkit results==
===Time-weighted signal===
Studies of the affect of vibrations on the human body suggest that part of the body don't have the same response to vibrations, and will be sensitive to specific frequencies and transient component of vibration signal. In order to represent the sensitivity of the human boy, ISO standards defined time-weighting that must applied to the signal according to the environmental conditions. The following part present you how to apply time-weighting filters to your signal using the toolkit.
====Time-weighting filters====
As defined in the standards, specific time weighting must be applied to the acceleration signal in order to represent the effect of vibrations on health and comfort. Here is the list of the different time-weighting filters implemented in the toolkit : 
{| class="wikitable" style="margin: auto;"
|+style="caption-side:bottom;"|''Time-weighting filters''
|-
|style="height:30px; width:100px;"|<math>W_k</math>
|Time weighting for the Z axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_d</math>
|Time weighting for the X and Y axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_h</math>
|Time weighting for the hand-arms measurement in any direction (ISO 5349-1)
|-
|style="height:30px; width:100px;"|<math>W_f</math>
|Time weighting for motion sickness measurement in the vertical direction (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_c</math>
|Time weighting for the X axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_e</math>
|Time weighting for all rotational directions for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_j</math>
|Time weighting for the Z axis for head comfort measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_m</math>
|Time weighting for all directions for building's vibration comfort measurement (ISO 2651-2)
|}

Filters have been validated from 0.5 to 10kHz at 25.6kSample/second.

====Usage in the toolkit====
The toolkit allow you to calculate the filtered raw signal with any of the above weighting filters. This will allow you to display [[NVGate FFT Analyzer|spectrums]] and calculate RMS via [[NVGate_Post_Analysis|post-analysis]] in NVGate.

To calculate the raw weighted signal, simply select the filters you want in the "Time signal filters" section :

[[Image:Filter2.png]]

Once the processing is completed, a new measurement containing the filtered signal for each selected filter is created in [[NVGate Project manager|NVGate Project Manager]] :

[[Image:Filtered_Sig.png|400px]]
 
You can then load the new signals in the player as any NVGate signal. Each track of the signal is filtered with the corresponding filter. 

[[Image:Sig_In_ Player.png|800px]]

===Health and comfort indicator===
In addition to the time-weighting filters, the ISO standards present a series of specific metrics to evaluate the affect of vibrations on the Human body. The following section will present you how to use the toolkit to access these metrics.
====Indicators====

{| class="wikitable" style="margin: auto;"
|+style="caption-side:bottom;"|''Body vibration indicators''
|-
|style="height:30px; width:100px;"|<math>A_w</math>
|RMS of the weighted acceleration magnitude.
|-
|style="height:30px; width:100px;"|<math>a_v</math>
|Total RMS value calculated as a quadratic average of the three direction for each tri-axial sensor.
|-
|style="height:30px; width:100px;"|<math>A_h</math>
|RMS of the <math>W_h</math> weighted acceleration magnitude.
|-
|style="height:30px; width:100px;"|<math>Peak</math>
|Amplitude Peak of the vibration; maximal amplitude of the signal from the 0 (Calculated from Post processing in NVGate)
|-
|style="height:30px; width:100px;"|<math>Crest factor</math>
|Ratio between the Peak level and the RMS of the weighted signal(Calculated from Post processing in NVGate)
|-
|style="height:30px; width:100px;"|<math>MTVV</math>
|Maximum Transient Vibration Value, represent the maximal RMS value of the signal
|-
|style="height:30px; width:100px;"|<math>VDV</math>
|Vibration Dose Value, taking into account the temporal shocks in the signal
|-
|style="height:30px; width:100px;"|<math>MSDV</math>
|Motion Sickness Dose Value, representing the comfort in transportation measurement
|-
|style="height:30px; width:100px;"|<math>D_k</math>
|The Acceleration Dose, representing the affect of the vibration on the spine
|-
|style="height:30px; width:100px;"|<math>Se</math>
|The equivalent Static compression stress on the spine, caused by repeated shocks
|}

======Aw======

The <math>A_w</math> is the RMS of the weighted acceleration signal. The weighting is applied in accordance with the direction set for each channel and the weighting filter defined for the direction. 

For each channel, the <math>A_w</math> and <math>A_w(T)</math> will be calculated. The <math>A_w(T)</math> is the Daily exposure value, defined as : 
<math display="block" forcemathmode="5">A_w(T) = A_w*k_{i}*\sqrt{\frac{T}{T_m}}</math>
 
With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter. the <math>k_i</math> factor is defined in the ISO 2631 as <math>k_X = k_Y = 1.4</math> and <math>k_Z = 1</math>.

When comparing result from one measurement point in the three direction, the maximum of the Daily exposure value must be used as the total daily exposure value at that point : 
<math display="block" forcemathmode="5">A_w(T) = max(A_{wX}(T), A_{wY}(T), A_{wZ}(T)) </math>
 
======av======
The <math>a_v</math> is the total RMS vibration value of the weighted acceleration signal. This value will only be calculated if a sensor have been defined in the definition of direction window.

For each tri-axial sensor, the <math>a_v</math> will be calculated as a quadratic average of the weighted RMS value in the three directions : 

<math display="block" forcemathmode="5">a_v = \sqrt{{a_{vX}}^{2}*{k_{X}}^{2} + {a_{vY}}^{2}*{k_{Y}}^{2} + {a_{vZ}}^{2}*{k_{Z}}^{2}}</math> 
With <math>k_{X,Y,Z}</math> a factor defined in the ISO 2631 as <math>k_{X}=k_{Y}=1.4</math> and <math>k_{Z}=1</math>
 
======Ah======
The <math>A_h</math> is the RMS of the <math>W_h</math> weighted acceleration signal for hand-arms vibration measurement. For each channel, the <math>A_h</math> and <math>A_h(T)</math> will be calculated. The <math>A_h(T)</math> is the Daily exposure value, defined as : 

<math display="block" forcemathmode="5">A_h(T) = A_h*\sqrt{\frac{T}{T_m}}</math> 

With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter. 

If any sensor is defined, the total <math>A_h</math> and <math>A_h(T)</math> will be calculated for each sensor as a quadratic average of the three direction of the sensor : 
<math display="block" forcemathmode="5">A_{h Total} = \sqrt{{a_{hX}}^{2}*{k_{X}}^{2} + {a_{hY}}^{2}*{k_{Y}}^{2} + {a_{hZ}}^{2}*{k_{Z}}^{2}}</math>
 
and : 
 
<math display="block" forcemathmode="5">A_{h Total}(T) = \sqrt{{a_{hX}}^{2}*{k_{X}}^{2} + {a_{hY}}^{2}*{k_{Y}}^{2} + {a_{hZ}}^{2}*{k_{Z}}^{2}}*\sqrt{\frac{T}{T_m}}</math>
 
With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter, and <math>k_{X}=k_{Y}=k_{Z}=1</math>
 

======Peak======

This indicator is the [[NVGate_Time_Domain_Analysis#Available_results|peak amplitude]] of the vibration signal. It represent the maximal amplitude of the weighted signal. This indicator can be obtained in NVGate by [[NVGate Post Analysis|post-analysing]] the weighted signal with the [[NVGate Time Domain Analysis|TDA plugin of NVGate]].

======MTVV======
The MTVV is the Maximal Transient Vibration Value, is the maximum of the running RMS of the weighted acceleration. This value is calculated for each channel and is expressed in m/s².

The MTVV Tau is the integration time, expressed in seconds. This value can be edited before the calculation, but the ISO 2631 recommand to use 1 second. Therefore this is the default value of this parameter.

======VDV======
The VDV is the forth power Vibration Dose Value. It is calculated as a cumulative sum of the weighted acceleration at the forth power. The forth power is used to give more weight to the transient event of the signal over the periodic event. Therefore, this indicator must be used to asses the effect of shock on human health and comfort. The VDV is calculated for each channel and expressed in m/s^(1.75). 

If the "VDVTexp" box is checked, an evaluation of the VDV value over a longer time period will be calculated of each channel as : 
<math display="block" forcemathmode="5">VDV_{X,Y,Z}(T) = VDV_{X,Y,Z}*k_{X,Y,Z}*\sqrt[4]{\frac{T}{T_m}}</math> 

With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter, and <math>k_{X}=k_{Y}=1.4</math>, and <math>k_{Z}=1</math>
======MSDV======
This metric is the Motion Sickness Dose Value, used to evaluate the ride comfort in in-vehicle measurement. It is expressed in m.s^(1.5). 

Although this value will be calculated for each direction, only the Z-direction will have a prominent relevance to assess ride comfort.
======Dk======
<math>D_k</math> is the acceleration dose. It is use to evaluate the effect of vibrations on the human spine, and calculated as the 6th root of the sum of the peaks in the acceleration signal raised at the 6th power. it is expressed in m/s². Peaks are defined as the absolute maximum of the acceleration signal between two zeros crossing. In the Z direction, only the positive peak will be considered, were all positive and negative peaks are used for the X and Y directions. 

Specific filters are used to weight the acceleration signal before calculating the <math>D_k</math>. These filter are different for the vertical and horizontal direction, and are defined for a sampling rate of 160 Sample/second. Therefore, we advise to [[NVGate Recorder|record]] the signal with a low [[NVGate_Front_End#Input_settings|sampling rate]] in NVGate. 

Assessing the affect of the vibration on human spine most is important when dealing with transportation vehicular, especially from driver seat. for a better evaluation, the ISO 2631-5 advise to calculate the daily acceleration dose, defined as : 

<math display="block" forcemathmode="5">D_{X,Y,Z}(T) = D_{X,Y,Z}*\sqrt[6]{\frac{T}{T_m}}</math> 

This value will be calculated if the box "Dk Texp" is checked.

======Se======
The Se is the compressive stress on the human spine, expressed in MPa. It is calculated by the combination the Dk in the three direction. Therefore, it will only be calculated if sensors are defined in the "Select Direction" window. One value of Se will be calculated for each sensor by the formula : 
<math display="block" forcemathmode="5">Se = \sqrt[6]{\sum_{k=X,Y,Z}(D_{k}*m_{k})^6}</math> 

Where <math>m_{X} = 0,015</math> MPa/(m/s²), <math>m_{Y} = 0,035</math> MPa/(m/s²) and <math>m_{Z} = 0,032</math> MPa/(m/s²). 

To evaluate the lumbar stress over a daily exposition time, the Se(T) will also be calculated as : 
<math display="block" forcemathmode="5">Se(T) = \sqrt[6]{\sum_{k=X,Y,Z}(D_{k}(T)*m_{k})^6}</math> 

T being the total exposure duration represented by the "Reference time" parameter. 

====In the toolkit====
Before calculating the indicators in the toolkit, you must define a filter for each directions. Filters will be selected in accordance with the wanted result (Hand-arms; Whole-Body, ..) and the direction of the measurement as specified in the table [[Human_Vibration#Time-weighting_filters|describing the filters]]. Filters will be applied to the signal before calculating the indicators, but the time-filtered signal will not be saved. 
[[Image:proc_filt.png]]

You will then need to enter the reference time you want to use to estimate the parameters on a greater duration. This duration must be entered in second. The default value is 288500 second, corresponding to a 8 hours measurement: 
[[Image:Ref_Time.png]]

You will finally need to enter the MTVV Tau value. The MTVV Tau is the integration time in seconds used for the calculation of the MTVV. The ISO 2651 recommand to use 1sec. This is the default value of the setting. 

Once the filters selected and the parameters competed, you can select the metrics you want to calculate by checking the different boxes. 
[[Image:all_proc.png]] 
You can then start the processing to calculate the indicators. 

Once completed, the result can be find the currently opened project in the [[NVGate Project manager]]. A new measurement called "NAME_OF_THE_Signal_out" containing the result is created. As many measurement folder as selected signal will be created during the processing. Here, we are calculating all the indicator for the "Tram01Roub" signal, and we define two sensors "trottoir" and "voies", as shown in the tutorial. 
[[Image:ResInProjMAn2.png]]

Each indicator is calculated for each direction and for each track of the signal. The name of the result contain the name of the track, the considered direction and the filter used for that direction (except for the <math>D_k</math> which use specific filters). The following picture show the indicators for the first track (SeatPadX) of the signal : 
[[Image:Result_for_track.png]]

Here this track represent the X direction. We can remove the results in irrelevant directions (Y and Z) for this track by a right click, and repeat this operation for each channel : 

/Insert image of the result with only relevant direction when bug solve/

You can then display the result in NVGate by double clicking.

==Calculating the other indicators with NVGate==
===<math>A_w</math>===
<math>A_w</math> is the daily vibration dose. It is calculated from an average of the RMS values form the weighted signal and represent the "quantity" of vibration the human body will receive when using of the tested equipment.

This value is defined as : <math>A_w = \sqrt{(k_{x}*a_{w_{x}})^2+(k_{y}*a_{w_{y}})^2+(k_{z}*a_{w_{z}})^2}</math>, with <math>k_i</math> defined in the standard and <math>a_{w_{x}}</math> the RMS value of the weighted acceleration signal in accordance to the direction, as defined in the [[Human_Vibration#Time-weighting_filters|table of the precedent section]]. 

====Calculation in NVGate====

To calculate the <math>A_w</math> in NVGate, calculmate the [[NVGate Time Domain Analysis#RMS|RMS level]] of the weighted signal in [[NVGate_Post_Analysis|Post analysis]]. Here, we will calculate the <math>A_w</math> for the SeatPad measurement as defined for a whole-body measurement in the ISO 2651. According to the [Human_Vibration#Time-weighting_filters|table]], we need to calculate the RMS level of the <math>W_k</math> weighted signal for the Z direction and the <math>W_d</math> weighted signal for the X and Y directions. You then must [[NVGate Display|display]] the three RMS level in the same window : 

[[Image:RMS.png|500px]]

===Ah and Ah(8)===
===VDV Texp===

==Practical information about measurements==

Durée de mesure
Type de mesure
Placement des capteurs
Exemple de capteur : [[https://www.dytran.com/Search/?searchText=seat+pad|Seat Pad accelerometer]]
Capteur avec adaptateurs hand arms

File:ResInProjMAn2.png

2020-12-07T11:35:05Z

NIcolasAegerter: File uploaded with MsUpload

File uploaded with MsUpload

Human Vibration

2020-12-03T18:02:15Z

NIcolasAegerter: /* In the toolkit */

The OROS Body Vibration tool allow you to evaluate the affect of vibration on the human body according to standards ISO 2651 and ISO 5349. These standard define measurement practice and vibration signal analysis to evaluate the affect on health and and comfort of environmental and equipment vibrations on the Human body. 

The ISO 2651 describe the affect on health and comfort of vibration on the whole-body in transportation system, and the ISO 5349 the affect on health of vibration on hands and arms when manipulating machine-tools or vibrating objects. In the following, we will see how to use OROS to evaluate these effect. 
 
This is a post analysis toolkit, operating alongside NVGate after the recording of the signal and will help you to calculate time-weighted signal of acceleration and specific indicators both defined in the standards. 
[[Image:OROS_BodyVib2.png|800px|none]]
 
==Download & install==
Download the program here (version from 03/12/2020) :
https://orossas.sharepoint.com/:u:/g/support/EXCVJE_bLGZMgHg1mr4p1hwB5ICqdqKBXTK3kH9stxozKg?e=UJg72W

Once downloaded, you can unzip the folder and lunch the installer program Setup_OROS_BodyVibration_Tool_vXX.exe. Follow the step of the program to properly install the software. 

The program will be installed in "C:\OROS\Programs\ExternalTools". Shortcuts are created on the main desktop, in the Windows Start program and in the "Link" repertory of NVGate. By that way you can directly run the program from NVGate.

==How to use==

<ol>
<li>Launch NVGate </li>
<li>Launch OROS_BodyVibration_Tool.exe </li>
<li>Open a project in NVGate </li>

[[File:Open_Proj.png]]
 
<li>In the tool, Click on list measurement to list all the measurement present in the project (only the measurement where the signal files are actually on the disk will be displayed. Ensure you have [[NVGate_Project_manager#Uploading.2FDownloading|downloaded signal from the OR3X disk]]) </li>
[[Image:List_Meas.png|400px|none]]
<li>Add the measurement you want to analyse in the "selected list" area using the ">>" button. Use the "<<" button to remove file if needed. </li>
[[Image:Add_Rmv.png|400px|none]]
<li>Click on "Select Directions" to set the direction and sensor for each channel (This step is not necessary if you only want the time-weighted signals). </li>
[[Image:Select_DOF.png|400px|none]]
<li>Select the weighting you want to apply on the time signal </li>
[[Image:Select_Filter.png|400px|none]]
<li>Select the weighting you want to apply for each direction X, Y and Z used for the indicators </li>
[[Image:Select_Process_Filt.png|400px|none]]
<li>Select the metrics you want to calculate </li>
[[Image:Select_Metric.png|400px|none]]
<li>Click on "Start Processing" </li>
[[Image:Strat_Proc.png|400px|none]]
<li>The processing is completed when a the following pop-up window appear. The results and weighted signal have added to the current NVGate project. See the next sections for details. </li>
[[Image:The_End.png|400px|none]]
</ol>

==Toolkit results==
===Time-weighted signal===
Studies of the affect of vibrations on the human body suggest that part of the body don't have the same response to vibrations, and will be sensitive to specific frequencies and transient component of vibration signal. In order to represent the sensitivity of the human boy, ISO standards defined time-weighting that must applied to the signal according to the environmental conditions. The following part present you how to apply time-weighting filters to your signal using the toolkit.
====Time-weighting filters====
As defined in the standards, specific time weighting must be applied to the acceleration signal in order to represent the effect of vibrations on health and comfort. Here is the list of the different time-weighting filters implemented in the toolkit : 
{| class="wikitable" style="margin: auto;"
|+style="caption-side:bottom;"|''Time-weighting filters''
|-
|style="height:30px; width:100px;"|<math>W_k</math>
|Time weighting for the Z axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_d</math>
|Time weighting for the X and Y axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_h</math>
|Time weighting for the hand-arms measurement in any direction (ISO 5349-1)
|-
|style="height:30px; width:100px;"|<math>W_f</math>
|Time weighting for motion sickness measurement in the vertical direction (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_c</math>
|Time weighting for the X axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_e</math>
|Time weighting for all rotational directions for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_j</math>
|Time weighting for the Z axis for head comfort measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_m</math>
|Time weighting for all directions for building's vibration comfort measurement (ISO 2651-2)
|}

Filters have been validated from 0.5 to 10kHz at 25.6kSample/second.

====Usage in the toolkit====
The toolkit allow you to calculate the filtered raw signal with any of the above weighting filters. This will allow you to display [[NVGate FFT Analyzer|spectrums]] and calculate RMS via [[NVGate_Post_Analysis|post-analysis]] in NVGate.

To calculate the raw weighted signal, simply select the filters you want in the "Time signal filters" section :

[[Image:Filter2.png]]

Once the processing is completed, a new measurement containing the filtered signal for each selected filter is created in [[NVGate Project manager|NVGate Project Manager]] :

[[Image:Filtered_Sig.png|400px]]
 
You can then load the new signals in the player as any NVGate signal. Each track of the signal is filtered with the corresponding filter. 

[[Image:Sig_In_ Player.png|800px]]

===Health and comfort indicator===
In addition to the time-weighting filters, the ISO standards present a series of specific metrics to evaluate the affect of vibrations on the Human body. The following section will present you how to use the toolkit to access these metrics.
====Indicators====

{| class="wikitable" style="margin: auto;"
|+style="caption-side:bottom;"|''Body vibration indicators''
|-
|style="height:30px; width:100px;"|<math>A_w</math>
|RMS of the weighted acceleration magnitude.
|-
|style="height:30px; width:100px;"|<math>a_v</math>
|Total RMS value calculated as a quadratic average of the three direction for each tri-axial sensor.
|-
|style="height:30px; width:100px;"|<math>A_h</math>
|RMS of the <math>W_h</math> weighted acceleration magnitude.
|-
|style="height:30px; width:100px;"|<math>Peak</math>
|Amplitude Peak of the vibration; maximal amplitude of the signal from the 0 (Calculated from Post processing in NVGate)
|-
|style="height:30px; width:100px;"|<math>Crest factor</math>
|Ratio between the Peak level and the RMS of the weighted signal(Calculated from Post processing in NVGate)
|-
|style="height:30px; width:100px;"|<math>MTVV</math>
|Maximum Transient Vibration Value, represent the maximal RMS value of the signal
|-
|style="height:30px; width:100px;"|<math>VDV</math>
|Vibration Dose Value, taking into account the temporal shocks in the signal
|-
|style="height:30px; width:100px;"|<math>MSDV</math>
|Motion Sickness Dose Value, representing the comfort in transportation measurement
|-
|style="height:30px; width:100px;"|<math>D_k</math>
|The Acceleration Dose, representing the affect of the vibration on the spine
|-
|style="height:30px; width:100px;"|<math>Se</math>
|The equivalent Static compression stress on the spine, caused by repeated shocks
|}

======Aw======

The <math>A_w</math> is the RMS of the weighted acceleration signal. The weighting is applied in accordance with the direction set for each channel and the weighting filter defined for the direction. 

For each channel, the <math>A_w</math> and <math>A_w(T)</math> will be calculated. The <math>A_w(T)</math> is the Daily exposure value, defined as : 
<math display="block" forcemathmode="5">A_w(T) = A_w*k_{i}*\sqrt{\frac{T}{T_m}}</math>
 
With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter. the <math>k_i</math> factor is defined in the ISO 2631 as <math>k_X = k_Y = 1.4</math> and <math>k_Z = 1</math>.

When comparing result from one measurement point in the three direction, the maximum of the Daily exposure value must be used as the total daily exposure value at that point : 
<math display="block" forcemathmode="5">A_w(T) = max(A_{wX}(T), A_{wY}(T), A_{wZ}(T)) </math>
 
======av======
The <math>a_v</math> is the total RMS vibration value of the weighted acceleration signal. This value will only be calculated if a sensor have been defined in the definition of direction window.

For each tri-axial sensor, the <math>a_v</math> will be calculated as a quadratic average of the weighted RMS value in the three directions : 

<math display="block" forcemathmode="5">a_v = \sqrt{{a_{vX}}^{2}*{k_{X}}^{2} + {a_{vY}}^{2}*{k_{Y}}^{2} + {a_{vZ}}^{2}*{k_{Z}}^{2}}</math> 
With <math>k_{X,Y,Z}</math> a factor defined in the ISO 2631 as <math>k_{X}=k_{Y}=1.4</math> and <math>k_{Z}=1</math>
 
======Ah======
The <math>A_h</math> is the RMS of the <math>W_h</math> weighted acceleration signal for hand-arms vibration measurement. For each channel, the <math>A_h</math> and <math>A_h(T)</math> will be calculated. The <math>A_h(T)</math> is the Daily exposure value, defined as : 

<math display="block" forcemathmode="5">A_h(T) = A_h*\sqrt{\frac{T}{T_m}}</math> 

With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter. 

If any sensor is defined, the total <math>A_h</math> and <math>A_h(T)</math> will be calculated for each sensor as a quadratic average of the three direction of the sensor : 
<math display="block" forcemathmode="5">A_{h Total} = \sqrt{{a_{hX}}^{2}*{k_{X}}^{2} + {a_{hY}}^{2}*{k_{Y}}^{2} + {a_{hZ}}^{2}*{k_{Z}}^{2}}</math>
 
and : 
 
<math display="block" forcemathmode="5">A_{h Total}(T) = \sqrt{{a_{hX}}^{2}*{k_{X}}^{2} + {a_{hY}}^{2}*{k_{Y}}^{2} + {a_{hZ}}^{2}*{k_{Z}}^{2}}*\sqrt{\frac{T}{T_m}}</math>
 
With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter, and <math>k_{X}=k_{Y}=k_{Z}=1</math>
 

======Peak======

This indicator is the [[NVGate_Time_Domain_Analysis#Available_results|peak amplitude]] of the vibration signal. It represent the maximal amplitude of the weighted signal. This indicator can be obtained in NVGate by [[NVGate Post Analysis|post-analysing]] the weighted signal with the [[NVGate Time Domain Analysis|TDA plugin of NVGate]].

======MTVV======
The MTVV is the Maximal Transient Vibration Value, is the maximum of the running RMS of the weighted acceleration. This value is calculated for each channel and is expressed in m/s².

The MTVV Tau is the integration time, expressed in seconds. This value can be edited before the calculation, but the ISO 2631 recommand to use 1 second. Therefore this is the default value of this parameter.

======VDV======
The VDV is the forth power Vibration Dose Value. It is calculated as a cumulative sum of the weighted acceleration at the forth power. The forth power is used to give more weight to the transient event of the signal over the periodic event. Therefore, this indicator must be used to asses the effect of shock on human health and comfort. The VDV is calculated for each channel and expressed in m/s^(1.75). 

If the "VDVTexp" box is checked, an evaluation of the VDV value over a longer time period will be calculated of each channel as : 
<math display="block" forcemathmode="5">VDV_{X,Y,Z}(T) = VDV_{X,Y,Z}*k_{X,Y,Z}*\sqrt[4]{\frac{T}{T_m}}</math> 

With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter, and <math>k_{X}=k_{Y}=1.4</math>, and <math>k_{Z}=1</math>
======MSDV======
This metric is the Motion Sickness Dose Value, used to evaluate the ride comfort in in-vehicle measurement. It is expressed in m.s^(1.5). 

Although this value will be calculated for each direction, only the Z-direction will have a prominent relevance to assess ride comfort.
======Dk======
<math>D_k</math> is the acceleration dose. It is use to evaluate the effect of vibrations on the human spine, and calculated as the 6th root of the sum of the peaks in the acceleration signal raised at the 6th power. it is expressed in m/s². Peaks are defined as the absolute maximum of the acceleration signal between two zeros crossing. In the Z direction, only the positive peak will be considered, were all positive and negative peaks are used for the X and Y directions. 

Specific filters are used to weight the acceleration signal before calculating the <math>D_k</math>. These filter are different for the vertical and horizontal direction, and are defined for a sampling rate of 160 Sample/second. Therefore, we advise to [[NVGate Recorder|record]] the signal with a low [[NVGate_Front_End#Input_settings|sampling rate]] in NVGate. 

Assessing the affect of the vibration on human spine most is important when dealing with transportation vehicular, especially from driver seat. for a better evaluation, the ISO 2631-5 advise to calculate the daily acceleration dose, defined as : 

<math display="block" forcemathmode="5">D_{X,Y,Z}(T) = D_{X,Y,Z}*\sqrt[6]{\frac{T}{T_m}}</math> 

This value will be calculated if the box "Dk Texp" is checked.

======Se======
The Se is the compressive stress on the human spine, expressed in MPa. It is calculated by the combination the Dk in the three direction. Therefore, it will only be calculated if sensors are defined in the "Select Direction" window. One value of Se will be calculated for each sensor by the formula : 
<math display="block" forcemathmode="5">Se = \sqrt[6]{\sum_{k=X,Y,Z}(D_{k}*m_{k})^6}</math> 

Where <math>m_{X} = 0,015</math> MPa/(m/s²), <math>m_{Y} = 0,035</math> MPa/(m/s²) and <math>m_{Z} = 0,032</math> MPa/(m/s²). 

To evaluate the lumbar stress over a daily exposition time, the Se(T) will also be calculated as : 
<math display="block" forcemathmode="5">Se(T) = \sqrt[6]{\sum_{k=X,Y,Z}(D_{k}(T)*m_{k})^6}</math> 

T being the total exposure duration represented by the "Reference time" parameter. 

====In the toolkit====
Before calculating the indicators in the toolkit, you must define a filter for each directions. Filters will be selected in accordance with the wanted result (Hand-arms; Whole-Body, ..) and the direction of the measurement as specified in the table [[Human_Vibration#Time-weighting_filters|describing the filters]]. Filters will be applied to the signal before calculating the indicators, but the time-filtered signal will not be saved. 
[[Image:proc_filt.png]]

You will then need to enter the reference time you want to use to estimate the parameters on a greater duration. This duration must be entered in second. The default value is 288500 second, corresponding to a 8 hours measurement: 
[[Image:Ref_Time.png]]

You will finally need to enter the MTVV Tau value. The MTVV Tau is the integration time in seconds used for the calculation of the MTVV. The ISO 2651 recommand to use 1sec. This is the default value of the setting. 

Once the filters selected and the parameters competed, you can select the metrics you want to calculate by checking the different boxes. 
[[Image:all_proc.png]] 
You can then start the processing to calculate the indicators. 

Once completed, the result can be find the currently opened project in the [[NVGate Project manager]]. A new measurement called "NAME_OF_THE_Signal_out" containing the result is created. As many measurement folder as selected signal will be created during the processing. Here, we are calculating all the indicator for the "Tram01Roub" signal, and we define two sensors "trottoir" and "voies", as shown in the tutorial. 
[[Image:ResInProjMAn.png]]

Each indicator is calculated for each direction and for each track of the signal. The name of the result contain the name of the track, the considered direction and the filter used for that direction (except for the <math>D_k</math> which use specific filters). The following picture show the indicators for the first track (SeatPadX) of the signal : 
[[Image:Result_for_track.png]]

Here this track represent the X direction. We can remove the results in irrelevant directions (Y and Z) for this track by a right click, and repeat this operation for each channel : 

/Insert image of the result with only relevant direction when bug solve/

You can then display the result in NVGate by double clicking.

==Calculating the other indicators with NVGate==
===<math>A_w</math>===
<math>A_w</math> is the daily vibration dose. It is calculated from an average of the RMS values form the weighted signal and represent the "quantity" of vibration the human body will receive when using of the tested equipment.

This value is defined as : <math>A_w = \sqrt{(k_{x}*a_{w_{x}})^2+(k_{y}*a_{w_{y}})^2+(k_{z}*a_{w_{z}})^2}</math>, with <math>k_i</math> defined in the standard and <math>a_{w_{x}}</math> the RMS value of the weighted acceleration signal in accordance to the direction, as defined in the [[Human_Vibration#Time-weighting_filters|table of the precedent section]]. 

====Calculation in NVGate====

To calculate the <math>A_w</math> in NVGate, calculmate the [[NVGate Time Domain Analysis#RMS|RMS level]] of the weighted signal in [[NVGate_Post_Analysis|Post analysis]]. Here, we will calculate the <math>A_w</math> for the SeatPad measurement as defined for a whole-body measurement in the ISO 2651. According to the [Human_Vibration#Time-weighting_filters|table]], we need to calculate the RMS level of the <math>W_k</math> weighted signal for the Z direction and the <math>W_d</math> weighted signal for the X and Y directions. You then must [[NVGate Display|display]] the three RMS level in the same window : 

[[Image:RMS.png|500px]]

===Ah and Ah(8)===
===VDV Texp===

==Practical information about measurements==

Durée de mesure
Type de mesure
Placement des capteurs
Exemple de capteur : [[https://www.dytran.com/Search/?searchText=seat+pad|Seat Pad accelerometer]]
Capteur avec adaptateurs hand arms

Human Vibration

2020-12-03T17:49:33Z

NIcolasAegerter: /* Download & install */

The OROS Body Vibration tool allow you to evaluate the affect of vibration on the human body according to standards ISO 2651 and ISO 5349. These standard define measurement practice and vibration signal analysis to evaluate the affect on health and and comfort of environmental and equipment vibrations on the Human body. 

The ISO 2651 describe the affect on health and comfort of vibration on the whole-body in transportation system, and the ISO 5349 the affect on health of vibration on hands and arms when manipulating machine-tools or vibrating objects. In the following, we will see how to use OROS to evaluate these effect. 
 
This is a post analysis toolkit, operating alongside NVGate after the recording of the signal and will help you to calculate time-weighted signal of acceleration and specific indicators both defined in the standards. 
[[Image:OROS_BodyVib2.png|800px|none]]
 
==Download & install==
Download the program here (version from 03/12/2020) :
https://orossas.sharepoint.com/:u:/g/support/EXCVJE_bLGZMgHg1mr4p1hwB5ICqdqKBXTK3kH9stxozKg?e=UJg72W

Once downloaded, you can unzip the folder and lunch the installer program Setup_OROS_BodyVibration_Tool_vXX.exe. Follow the step of the program to properly install the software. 

The program will be installed in "C:\OROS\Programs\ExternalTools". Shortcuts are created on the main desktop, in the Windows Start program and in the "Link" repertory of NVGate. By that way you can directly run the program from NVGate.

==How to use==

<ol>
<li>Launch NVGate </li>
<li>Launch OROS_BodyVibration_Tool.exe </li>
<li>Open a project in NVGate </li>

[[File:Open_Proj.png]]
 
<li>In the tool, Click on list measurement to list all the measurement present in the project (only the measurement where the signal files are actually on the disk will be displayed. Ensure you have [[NVGate_Project_manager#Uploading.2FDownloading|downloaded signal from the OR3X disk]]) </li>
[[Image:List_Meas.png|400px|none]]
<li>Add the measurement you want to analyse in the "selected list" area using the ">>" button. Use the "<<" button to remove file if needed. </li>
[[Image:Add_Rmv.png|400px|none]]
<li>Click on "Select Directions" to set the direction and sensor for each channel (This step is not necessary if you only want the time-weighted signals). </li>
[[Image:Select_DOF.png|400px|none]]
<li>Select the weighting you want to apply on the time signal </li>
[[Image:Select_Filter.png|400px|none]]
<li>Select the weighting you want to apply for each direction X, Y and Z used for the indicators </li>
[[Image:Select_Process_Filt.png|400px|none]]
<li>Select the metrics you want to calculate </li>
[[Image:Select_Metric.png|400px|none]]
<li>Click on "Start Processing" </li>
[[Image:Strat_Proc.png|400px|none]]
<li>The processing is completed when a the following pop-up window appear. The results and weighted signal have added to the current NVGate project. See the next sections for details. </li>
[[Image:The_End.png|400px|none]]
</ol>

==Toolkit results==
===Time-weighted signal===
Studies of the affect of vibrations on the human body suggest that part of the body don't have the same response to vibrations, and will be sensitive to specific frequencies and transient component of vibration signal. In order to represent the sensitivity of the human boy, ISO standards defined time-weighting that must applied to the signal according to the environmental conditions. The following part present you how to apply time-weighting filters to your signal using the toolkit.
====Time-weighting filters====
As defined in the standards, specific time weighting must be applied to the acceleration signal in order to represent the effect of vibrations on health and comfort. Here is the list of the different time-weighting filters implemented in the toolkit : 
{| class="wikitable" style="margin: auto;"
|+style="caption-side:bottom;"|''Time-weighting filters''
|-
|style="height:30px; width:100px;"|<math>W_k</math>
|Time weighting for the Z axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_d</math>
|Time weighting for the X and Y axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_h</math>
|Time weighting for the hand-arms measurement in any direction (ISO 5349-1)
|-
|style="height:30px; width:100px;"|<math>W_f</math>
|Time weighting for motion sickness measurement in the vertical direction (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_c</math>
|Time weighting for the X axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_e</math>
|Time weighting for all rotational directions for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_j</math>
|Time weighting for the Z axis for head comfort measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_m</math>
|Time weighting for all directions for building's vibration comfort measurement (ISO 2651-2)
|}

Filters have been validated from 0.5 to 10kHz at 25.6kSample/second.

====Usage in the toolkit====
The toolkit allow you to calculate the filtered raw signal with any of the above weighting filters. This will allow you to display [[NVGate FFT Analyzer|spectrums]] and calculate RMS via [[NVGate_Post_Analysis|post-analysis]] in NVGate.

To calculate the raw weighted signal, simply select the filters you want in the "Time signal filters" section :

[[Image:Filter2.png]]

Once the processing is completed, a new measurement containing the filtered signal for each selected filter is created in [[NVGate Project manager|NVGate Project Manager]] :

[[Image:Filtered_Sig.png|400px]]
 
You can then load the new signals in the player as any NVGate signal. Each track of the signal is filtered with the corresponding filter. 

[[Image:Sig_In_ Player.png|800px]]

===Health and comfort indicator===
In addition to the time-weighting filters, the ISO standards present a series of specific metrics to evaluate the affect of vibrations on the Human body. The following section will present you how to use the toolkit to access these metrics.
====Indicators====

{| class="wikitable" style="margin: auto;"
|+style="caption-side:bottom;"|''Body vibration indicators''
|-
|style="height:30px; width:100px;"|<math>A_w</math>
|RMS of the weighted acceleration magnitude.
|-
|style="height:30px; width:100px;"|<math>a_v</math>
|Total RMS value calculated as a quadratic average of the three direction for each tri-axial sensor.
|-
|style="height:30px; width:100px;"|<math>A_h</math>
|RMS of the <math>W_h</math> weighted acceleration magnitude.
|-
|style="height:30px; width:100px;"|<math>Peak</math>
|Amplitude Peak of the vibration; maximal amplitude of the signal from the 0 (Calculated from Post processing in NVGate)
|-
|style="height:30px; width:100px;"|<math>Crest factor</math>
|Ratio between the Peak level and the RMS of the weighted signal(Calculated from Post processing in NVGate)
|-
|style="height:30px; width:100px;"|<math>MTVV</math>
|Maximum Transient Vibration Value, represent the maximal RMS value of the signal
|-
|style="height:30px; width:100px;"|<math>VDV</math>
|Vibration Dose Value, taking into account the temporal shocks in the signal
|-
|style="height:30px; width:100px;"|<math>MSDV</math>
|Motion Sickness Dose Value, representing the comfort in transportation measurement
|-
|style="height:30px; width:100px;"|<math>D_k</math>
|The Acceleration Dose, representing the affect of the vibration on the spine
|-
|style="height:30px; width:100px;"|<math>Se</math>
|The equivalent Static compression stress on the spine, caused by repeated shocks
|}

======Aw======

The <math>A_w</math> is the RMS of the weighted acceleration signal. The weighting is applied in accordance with the direction set for each channel and the weighting filter defined for the direction. 

For each channel, the <math>A_w</math> and <math>A_w(T)</math> will be calculated. The <math>A_w(T)</math> is the Daily exposure value, defined as : 
<math display="block" forcemathmode="5">A_w(T) = A_w*k_{i}*\sqrt{\frac{T}{T_m}}</math>
 
With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter. the <math>k_i</math> factor is defined in the ISO 2631 as <math>k_X = k_Y = 1.4</math> and <math>k_Z = 1</math>.

When comparing result from one measurement point in the three direction, the maximum of the Daily exposure value must be used as the total daily exposure value at that point : 
<math display="block" forcemathmode="5">A_w(T) = max(A_{wX}(T), A_{wY}(T), A_{wZ}(T)) </math>
 
======av======
The <math>a_v</math> is the total RMS vibration value of the weighted acceleration signal. This value will only be calculated if a sensor have been defined in the definition of direction window.

For each tri-axial sensor, the <math>a_v</math> will be calculated as a quadratic average of the weighted RMS value in the three directions : 

<math display="block" forcemathmode="5">a_v = \sqrt{{a_{vX}}^{2}*{k_{X}}^{2} + {a_{vY}}^{2}*{k_{Y}}^{2} + {a_{vZ}}^{2}*{k_{Z}}^{2}}</math> 
With <math>k_{X,Y,Z}</math> a factor defined in the ISO 2631 as <math>k_{X}=k_{Y}=1.4</math> and <math>k_{Z}=1</math>
 
======Ah======
The <math>A_h</math> is the RMS of the <math>W_h</math> weighted acceleration signal for hand-arms vibration measurement. For each channel, the <math>A_h</math> and <math>A_h(T)</math> will be calculated. The <math>A_h(T)</math> is the Daily exposure value, defined as : 

<math display="block" forcemathmode="5">A_h(T) = A_h*\sqrt{\frac{T}{T_m}}</math> 

With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter. 

If any sensor is defined, the total <math>A_h</math> and <math>A_h(T)</math> will be calculated for each sensor as a quadratic average of the three direction of the sensor : 
<math display="block" forcemathmode="5">A_{h Total} = \sqrt{{a_{hX}}^{2}*{k_{X}}^{2} + {a_{hY}}^{2}*{k_{Y}}^{2} + {a_{hZ}}^{2}*{k_{Z}}^{2}}</math>
 
and : 
 
<math display="block" forcemathmode="5">A_{h Total}(T) = \sqrt{{a_{hX}}^{2}*{k_{X}}^{2} + {a_{hY}}^{2}*{k_{Y}}^{2} + {a_{hZ}}^{2}*{k_{Z}}^{2}}*\sqrt{\frac{T}{T_m}}</math>
 
With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter, and <math>k_{X}=k_{Y}=k_{Z}=1</math>
 

======Peak======

This indicator is the [[NVGate_Time_Domain_Analysis#Available_results|peak amplitude]] of the vibration signal. It represent the maximal amplitude of the weighted signal. This indicator can be obtained in NVGate by [[NVGate Post Analysis|post-analysing]] the weighted signal with the [[NVGate Time Domain Analysis|TDA plugin of NVGate]].

======MTVV======
The MTVV is the Maximal Transient Vibration Value, is the maximum of the running RMS of the weighted acceleration. This value is calculated for each channel and is expressed in m/s².

The MTVV Tau is the integration time, expressed in seconds. This value can be edited before the calculation, but the ISO 2631 recommand to use 1 second. Therefore this is the default value of this parameter.

======VDV======
The VDV is the forth power Vibration Dose Value. It is calculated as a cumulative sum of the weighted acceleration at the forth power. The forth power is used to give more weight to the transient event of the signal over the periodic event. Therefore, this indicator must be used to asses the effect of shock on human health and comfort. The VDV is calculated for each channel and expressed in m/s^(1.75). 

If the "VDVTexp" box is checked, an evaluation of the VDV value over a longer time period will be calculated of each channel as : 
<math display="block" forcemathmode="5">VDV_{X,Y,Z}(T) = VDV_{X,Y,Z}*k_{X,Y,Z}*\sqrt[4]{\frac{T}{T_m}}</math> 

With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter, and <math>k_{X}=k_{Y}=1.4</math>, and <math>k_{Z}=1</math>
======MSDV======
This metric is the Motion Sickness Dose Value, used to evaluate the ride comfort in in-vehicle measurement. It is expressed in m.s^(1.5). 

Although this value will be calculated for each direction, only the Z-direction will have a prominent relevance to assess ride comfort.
======Dk======
<math>D_k</math> is the acceleration dose. It is use to evaluate the effect of vibrations on the human spine, and calculated as the 6th root of the sum of the peaks in the acceleration signal raised at the 6th power. it is expressed in m/s². Peaks are defined as the absolute maximum of the acceleration signal between two zeros crossing. In the Z direction, only the positive peak will be considered, were all positive and negative peaks are used for the X and Y directions. 

Specific filters are used to weight the acceleration signal before calculating the <math>D_k</math>. These filter are different for the vertical and horizontal direction, and are defined for a sampling rate of 160 Sample/second. Therefore, we advise to [[NVGate Recorder|record]] the signal with a low [[NVGate_Front_End#Input_settings|sampling rate]] in NVGate. 

Assessing the affect of the vibration on human spine most is important when dealing with transportation vehicular, especially from driver seat. for a better evaluation, the ISO 2631-5 advise to calculate the daily acceleration dose, defined as : 

<math display="block" forcemathmode="5">D_{X,Y,Z}(T) = D_{X,Y,Z}*\sqrt[6]{\frac{T}{T_m}}</math> 

This value will be calculated if the box "Dk Texp" is checked.

======Se======
The Se is the compressive stress on the human spine, expressed in MPa. It is calculated by the combination the Dk in the three direction. Therefore, it will only be calculated if sensors are defined in the "Select Direction" window. One value of Se will be calculated for each sensor by the formula : 
<math display="block" forcemathmode="5">Se = \sqrt[6]{\sum_{k=X,Y,Z}(D_{k}*m_{k})^6}</math> 

Where <math>m_{X} = 0,015</math> MPa/(m/s²), <math>m_{Y} = 0,035</math> MPa/(m/s²) and <math>m_{Z} = 0,032</math> MPa/(m/s²). 

To evaluate the lumbar stress over a daily exposition time, the Se(T) will also be calculated as : 
<math display="block" forcemathmode="5">Se(T) = \sqrt[6]{\sum_{k=X,Y,Z}(D_{k}(T)*m_{k})^6}</math> 

T being the total exposure duration represented by the "Reference time" parameter. 

====In the toolkit====
Before calculating the indicators in the toolkit, you must define a filter for each directions. Filters will be selected in accordance with the wanted result (Hand-arms; Whole-Body, ..) and the direction of the measurement as specified in the table [[Human_Vibration#Time-weighting_filters|describing the filters]]. Filters will be applied to the signal before calculating the indicators, but the time-filtered signal will not be saved. 
[[Image:proc_filt.png]]

You will then need to enter the reference time you want to use to estimate the parameters on a greater duration. This duration must be entered in second. The default value is 288500 second, corresponding to a 8 hours measurement: 
[[Image:Ref_Time.png]]

You will finally need to enter the MTVV Tau value. The MTVV Tau is the integration time in seconds used for the calculation of the MTVV. The ISO 2651 recommand to use 1sec. This is the default value of the setting. 

Once the filters selected and the parameters competed, you can select the metrics you want to calculate by checking the different boxes. 
[[Image:all_proc.png]] 
You can then start the processing to calculate the indicators. 

Once completed, the result can be find the currently opened project in the [[NVGate Project manager]]. A new measurement called "NAME_OF_THE_Signal_out" containing the result is created. As many measurement folder as selected signal will be created during the processing. 
[[Image:Project_Manager_results.png]]

Each indicator is calculated for each direction and for each track of the signal. The name of the result contain the name of the track, the considered direction and the filter used for that direction (except for the <math>D_k</math> which use specific filters). The following picture show the indicators for the first track (SeatPadX) of the signal : 
[[Image:Result_for_track.png]]

Here this track represent the X direction. We can remove the results in irrelevant directions (Y and Z) for this track by a right click, and repeat this operation for each channel : 

/Insert image of the result with only relevant direction when bug solve/

You can then display the result in NVGate by double clicking.

==Calculating the other indicators with NVGate==
===<math>A_w</math>===
<math>A_w</math> is the daily vibration dose. It is calculated from an average of the RMS values form the weighted signal and represent the "quantity" of vibration the human body will receive when using of the tested equipment.

This value is defined as : <math>A_w = \sqrt{(k_{x}*a_{w_{x}})^2+(k_{y}*a_{w_{y}})^2+(k_{z}*a_{w_{z}})^2}</math>, with <math>k_i</math> defined in the standard and <math>a_{w_{x}}</math> the RMS value of the weighted acceleration signal in accordance to the direction, as defined in the [[Human_Vibration#Time-weighting_filters|table of the precedent section]]. 

====Calculation in NVGate====

To calculate the <math>A_w</math> in NVGate, calculmate the [[NVGate Time Domain Analysis#RMS|RMS level]] of the weighted signal in [[NVGate_Post_Analysis|Post analysis]]. Here, we will calculate the <math>A_w</math> for the SeatPad measurement as defined for a whole-body measurement in the ISO 2651. According to the [Human_Vibration#Time-weighting_filters|table]], we need to calculate the RMS level of the <math>W_k</math> weighted signal for the Z direction and the <math>W_d</math> weighted signal for the X and Y directions. You then must [[NVGate Display|display]] the three RMS level in the same window : 

[[Image:RMS.png|500px]]

===Ah and Ah(8)===
===VDV Texp===

==Practical information about measurements==

Durée de mesure
Type de mesure
Placement des capteurs
Exemple de capteur : [[https://www.dytran.com/Search/?searchText=seat+pad|Seat Pad accelerometer]]
Capteur avec adaptateurs hand arms

Human Vibration

2020-12-03T17:48:37Z

NIcolasAegerter: /* Download & install */

The OROS Body Vibration tool allow you to evaluate the affect of vibration on the human body according to standards ISO 2651 and ISO 5349. These standard define measurement practice and vibration signal analysis to evaluate the affect on health and and comfort of environmental and equipment vibrations on the Human body. 

The ISO 2651 describe the affect on health and comfort of vibration on the whole-body in transportation system, and the ISO 5349 the affect on health of vibration on hands and arms when manipulating machine-tools or vibrating objects. In the following, we will see how to use OROS to evaluate these effect. 
 
This is a post analysis toolkit, operating alongside NVGate after the recording of the signal and will help you to calculate time-weighted signal of acceleration and specific indicators both defined in the standards. 
[[Image:OROS_BodyVib2.png|800px|none]]
 
==Download & install==
Download the program here (version from 16/11/2020) :
https://orossas.sharepoint.com/:u:/g/support/EXCVJE_bLGZMgHg1mr4p1hwB5ICqdqKBXTK3kH9stxozKg?e=UJg72W

Once downloaded, you can unzip the folder and lunch the installer program Setup_OROS_BodyVibration_Tool_vXX.exe. Follow the step of the program to properly install the software. 

The program will be installed in "C:\OROS\Programs\ExternalTools". Shortcuts are created on the main desktop, in the Windows Start program and in the "Link" repertory of NVGate. By that way you can directly run the program from NVGate.

==How to use==

<ol>
<li>Launch NVGate </li>
<li>Launch OROS_BodyVibration_Tool.exe </li>
<li>Open a project in NVGate </li>

[[File:Open_Proj.png]]
 
<li>In the tool, Click on list measurement to list all the measurement present in the project (only the measurement where the signal files are actually on the disk will be displayed. Ensure you have [[NVGate_Project_manager#Uploading.2FDownloading|downloaded signal from the OR3X disk]]) </li>
[[Image:List_Meas.png|400px|none]]
<li>Add the measurement you want to analyse in the "selected list" area using the ">>" button. Use the "<<" button to remove file if needed. </li>
[[Image:Add_Rmv.png|400px|none]]
<li>Click on "Select Directions" to set the direction and sensor for each channel (This step is not necessary if you only want the time-weighted signals). </li>
[[Image:Select_DOF.png|400px|none]]
<li>Select the weighting you want to apply on the time signal </li>
[[Image:Select_Filter.png|400px|none]]
<li>Select the weighting you want to apply for each direction X, Y and Z used for the indicators </li>
[[Image:Select_Process_Filt.png|400px|none]]
<li>Select the metrics you want to calculate </li>
[[Image:Select_Metric.png|400px|none]]
<li>Click on "Start Processing" </li>
[[Image:Strat_Proc.png|400px|none]]
<li>The processing is completed when a the following pop-up window appear. The results and weighted signal have added to the current NVGate project. See the next sections for details. </li>
[[Image:The_End.png|400px|none]]
</ol>

==Toolkit results==
===Time-weighted signal===
Studies of the affect of vibrations on the human body suggest that part of the body don't have the same response to vibrations, and will be sensitive to specific frequencies and transient component of vibration signal. In order to represent the sensitivity of the human boy, ISO standards defined time-weighting that must applied to the signal according to the environmental conditions. The following part present you how to apply time-weighting filters to your signal using the toolkit.
====Time-weighting filters====
As defined in the standards, specific time weighting must be applied to the acceleration signal in order to represent the effect of vibrations on health and comfort. Here is the list of the different time-weighting filters implemented in the toolkit : 
{| class="wikitable" style="margin: auto;"
|+style="caption-side:bottom;"|''Time-weighting filters''
|-
|style="height:30px; width:100px;"|<math>W_k</math>
|Time weighting for the Z axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_d</math>
|Time weighting for the X and Y axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_h</math>
|Time weighting for the hand-arms measurement in any direction (ISO 5349-1)
|-
|style="height:30px; width:100px;"|<math>W_f</math>
|Time weighting for motion sickness measurement in the vertical direction (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_c</math>
|Time weighting for the X axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_e</math>
|Time weighting for all rotational directions for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_j</math>
|Time weighting for the Z axis for head comfort measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_m</math>
|Time weighting for all directions for building's vibration comfort measurement (ISO 2651-2)
|}

Filters have been validated from 0.5 to 10kHz at 25.6kSample/second.

====Usage in the toolkit====
The toolkit allow you to calculate the filtered raw signal with any of the above weighting filters. This will allow you to display [[NVGate FFT Analyzer|spectrums]] and calculate RMS via [[NVGate_Post_Analysis|post-analysis]] in NVGate.

To calculate the raw weighted signal, simply select the filters you want in the "Time signal filters" section :

[[Image:Filter2.png]]

Once the processing is completed, a new measurement containing the filtered signal for each selected filter is created in [[NVGate Project manager|NVGate Project Manager]] :

[[Image:Filtered_Sig.png|400px]]
 
You can then load the new signals in the player as any NVGate signal. Each track of the signal is filtered with the corresponding filter. 

[[Image:Sig_In_ Player.png|800px]]

===Health and comfort indicator===
In addition to the time-weighting filters, the ISO standards present a series of specific metrics to evaluate the affect of vibrations on the Human body. The following section will present you how to use the toolkit to access these metrics.
====Indicators====

{| class="wikitable" style="margin: auto;"
|+style="caption-side:bottom;"|''Body vibration indicators''
|-
|style="height:30px; width:100px;"|<math>A_w</math>
|RMS of the weighted acceleration magnitude.
|-
|style="height:30px; width:100px;"|<math>a_v</math>
|Total RMS value calculated as a quadratic average of the three direction for each tri-axial sensor.
|-
|style="height:30px; width:100px;"|<math>A_h</math>
|RMS of the <math>W_h</math> weighted acceleration magnitude.
|-
|style="height:30px; width:100px;"|<math>Peak</math>
|Amplitude Peak of the vibration; maximal amplitude of the signal from the 0 (Calculated from Post processing in NVGate)
|-
|style="height:30px; width:100px;"|<math>Crest factor</math>
|Ratio between the Peak level and the RMS of the weighted signal(Calculated from Post processing in NVGate)
|-
|style="height:30px; width:100px;"|<math>MTVV</math>
|Maximum Transient Vibration Value, represent the maximal RMS value of the signal
|-
|style="height:30px; width:100px;"|<math>VDV</math>
|Vibration Dose Value, taking into account the temporal shocks in the signal
|-
|style="height:30px; width:100px;"|<math>MSDV</math>
|Motion Sickness Dose Value, representing the comfort in transportation measurement
|-
|style="height:30px; width:100px;"|<math>D_k</math>
|The Acceleration Dose, representing the affect of the vibration on the spine
|-
|style="height:30px; width:100px;"|<math>Se</math>
|The equivalent Static compression stress on the spine, caused by repeated shocks
|}

======Aw======

The <math>A_w</math> is the RMS of the weighted acceleration signal. The weighting is applied in accordance with the direction set for each channel and the weighting filter defined for the direction. 

For each channel, the <math>A_w</math> and <math>A_w(T)</math> will be calculated. The <math>A_w(T)</math> is the Daily exposure value, defined as : 
<math display="block" forcemathmode="5">A_w(T) = A_w*k_{i}*\sqrt{\frac{T}{T_m}}</math>
 
With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter. the <math>k_i</math> factor is defined in the ISO 2631 as <math>k_X = k_Y = 1.4</math> and <math>k_Z = 1</math>.

When comparing result from one measurement point in the three direction, the maximum of the Daily exposure value must be used as the total daily exposure value at that point : 
<math display="block" forcemathmode="5">A_w(T) = max(A_{wX}(T), A_{wY}(T), A_{wZ}(T)) </math>
 
======av======
The <math>a_v</math> is the total RMS vibration value of the weighted acceleration signal. This value will only be calculated if a sensor have been defined in the definition of direction window.

For each tri-axial sensor, the <math>a_v</math> will be calculated as a quadratic average of the weighted RMS value in the three directions : 

<math display="block" forcemathmode="5">a_v = \sqrt{{a_{vX}}^{2}*{k_{X}}^{2} + {a_{vY}}^{2}*{k_{Y}}^{2} + {a_{vZ}}^{2}*{k_{Z}}^{2}}</math> 
With <math>k_{X,Y,Z}</math> a factor defined in the ISO 2631 as <math>k_{X}=k_{Y}=1.4</math> and <math>k_{Z}=1</math>
 
======Ah======
The <math>A_h</math> is the RMS of the <math>W_h</math> weighted acceleration signal for hand-arms vibration measurement. For each channel, the <math>A_h</math> and <math>A_h(T)</math> will be calculated. The <math>A_h(T)</math> is the Daily exposure value, defined as : 

<math display="block" forcemathmode="5">A_h(T) = A_h*\sqrt{\frac{T}{T_m}}</math> 

With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter. 

If any sensor is defined, the total <math>A_h</math> and <math>A_h(T)</math> will be calculated for each sensor as a quadratic average of the three direction of the sensor : 
<math display="block" forcemathmode="5">A_{h Total} = \sqrt{{a_{hX}}^{2}*{k_{X}}^{2} + {a_{hY}}^{2}*{k_{Y}}^{2} + {a_{hZ}}^{2}*{k_{Z}}^{2}}</math>
 
and : 
 
<math display="block" forcemathmode="5">A_{h Total}(T) = \sqrt{{a_{hX}}^{2}*{k_{X}}^{2} + {a_{hY}}^{2}*{k_{Y}}^{2} + {a_{hZ}}^{2}*{k_{Z}}^{2}}*\sqrt{\frac{T}{T_m}}</math>
 
With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter, and <math>k_{X}=k_{Y}=k_{Z}=1</math>
 

======Peak======

This indicator is the [[NVGate_Time_Domain_Analysis#Available_results|peak amplitude]] of the vibration signal. It represent the maximal amplitude of the weighted signal. This indicator can be obtained in NVGate by [[NVGate Post Analysis|post-analysing]] the weighted signal with the [[NVGate Time Domain Analysis|TDA plugin of NVGate]].

======MTVV======
The MTVV is the Maximal Transient Vibration Value, is the maximum of the running RMS of the weighted acceleration. This value is calculated for each channel and is expressed in m/s².

The MTVV Tau is the integration time, expressed in seconds. This value can be edited before the calculation, but the ISO 2631 recommand to use 1 second. Therefore this is the default value of this parameter.

======VDV======
The VDV is the forth power Vibration Dose Value. It is calculated as a cumulative sum of the weighted acceleration at the forth power. The forth power is used to give more weight to the transient event of the signal over the periodic event. Therefore, this indicator must be used to asses the effect of shock on human health and comfort. The VDV is calculated for each channel and expressed in m/s^(1.75). 

If the "VDVTexp" box is checked, an evaluation of the VDV value over a longer time period will be calculated of each channel as : 
<math display="block" forcemathmode="5">VDV_{X,Y,Z}(T) = VDV_{X,Y,Z}*k_{X,Y,Z}*\sqrt[4]{\frac{T}{T_m}}</math> 

With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter, and <math>k_{X}=k_{Y}=1.4</math>, and <math>k_{Z}=1</math>
======MSDV======
This metric is the Motion Sickness Dose Value, used to evaluate the ride comfort in in-vehicle measurement. It is expressed in m.s^(1.5). 

Although this value will be calculated for each direction, only the Z-direction will have a prominent relevance to assess ride comfort.
======Dk======
<math>D_k</math> is the acceleration dose. It is use to evaluate the effect of vibrations on the human spine, and calculated as the 6th root of the sum of the peaks in the acceleration signal raised at the 6th power. it is expressed in m/s². Peaks are defined as the absolute maximum of the acceleration signal between two zeros crossing. In the Z direction, only the positive peak will be considered, were all positive and negative peaks are used for the X and Y directions. 

Specific filters are used to weight the acceleration signal before calculating the <math>D_k</math>. These filter are different for the vertical and horizontal direction, and are defined for a sampling rate of 160 Sample/second. Therefore, we advise to [[NVGate Recorder|record]] the signal with a low [[NVGate_Front_End#Input_settings|sampling rate]] in NVGate. 

Assessing the affect of the vibration on human spine most is important when dealing with transportation vehicular, especially from driver seat. for a better evaluation, the ISO 2631-5 advise to calculate the daily acceleration dose, defined as : 

<math display="block" forcemathmode="5">D_{X,Y,Z}(T) = D_{X,Y,Z}*\sqrt[6]{\frac{T}{T_m}}</math> 

This value will be calculated if the box "Dk Texp" is checked.

======Se======
The Se is the compressive stress on the human spine, expressed in MPa. It is calculated by the combination the Dk in the three direction. Therefore, it will only be calculated if sensors are defined in the "Select Direction" window. One value of Se will be calculated for each sensor by the formula : 
<math display="block" forcemathmode="5">Se = \sqrt[6]{\sum_{k=X,Y,Z}(D_{k}*m_{k})^6}</math> 

Where <math>m_{X} = 0,015</math> MPa/(m/s²), <math>m_{Y} = 0,035</math> MPa/(m/s²) and <math>m_{Z} = 0,032</math> MPa/(m/s²). 

To evaluate the lumbar stress over a daily exposition time, the Se(T) will also be calculated as : 
<math display="block" forcemathmode="5">Se(T) = \sqrt[6]{\sum_{k=X,Y,Z}(D_{k}(T)*m_{k})^6}</math> 

T being the total exposure duration represented by the "Reference time" parameter. 

====In the toolkit====
Before calculating the indicators in the toolkit, you must define a filter for each directions. Filters will be selected in accordance with the wanted result (Hand-arms; Whole-Body, ..) and the direction of the measurement as specified in the table [[Human_Vibration#Time-weighting_filters|describing the filters]]. Filters will be applied to the signal before calculating the indicators, but the time-filtered signal will not be saved. 
[[Image:proc_filt.png]]

You will then need to enter the reference time you want to use to estimate the parameters on a greater duration. This duration must be entered in second. The default value is 288500 second, corresponding to a 8 hours measurement: 
[[Image:Ref_Time.png]]

You will finally need to enter the MTVV Tau value. The MTVV Tau is the integration time in seconds used for the calculation of the MTVV. The ISO 2651 recommand to use 1sec. This is the default value of the setting. 

Once the filters selected and the parameters competed, you can select the metrics you want to calculate by checking the different boxes. 
[[Image:all_proc.png]] 
You can then start the processing to calculate the indicators. 

Once completed, the result can be find the currently opened project in the [[NVGate Project manager]]. A new measurement called "NAME_OF_THE_Signal_out" containing the result is created. As many measurement folder as selected signal will be created during the processing. 
[[Image:Project_Manager_results.png]]

Each indicator is calculated for each direction and for each track of the signal. The name of the result contain the name of the track, the considered direction and the filter used for that direction (except for the <math>D_k</math> which use specific filters). The following picture show the indicators for the first track (SeatPadX) of the signal : 
[[Image:Result_for_track.png]]

Here this track represent the X direction. We can remove the results in irrelevant directions (Y and Z) for this track by a right click, and repeat this operation for each channel : 

/Insert image of the result with only relevant direction when bug solve/

You can then display the result in NVGate by double clicking.

==Calculating the other indicators with NVGate==
===<math>A_w</math>===
<math>A_w</math> is the daily vibration dose. It is calculated from an average of the RMS values form the weighted signal and represent the "quantity" of vibration the human body will receive when using of the tested equipment.

This value is defined as : <math>A_w = \sqrt{(k_{x}*a_{w_{x}})^2+(k_{y}*a_{w_{y}})^2+(k_{z}*a_{w_{z}})^2}</math>, with <math>k_i</math> defined in the standard and <math>a_{w_{x}}</math> the RMS value of the weighted acceleration signal in accordance to the direction, as defined in the [[Human_Vibration#Time-weighting_filters|table of the precedent section]]. 

====Calculation in NVGate====

To calculate the <math>A_w</math> in NVGate, calculmate the [[NVGate Time Domain Analysis#RMS|RMS level]] of the weighted signal in [[NVGate_Post_Analysis|Post analysis]]. Here, we will calculate the <math>A_w</math> for the SeatPad measurement as defined for a whole-body measurement in the ISO 2651. According to the [Human_Vibration#Time-weighting_filters|table]], we need to calculate the RMS level of the <math>W_k</math> weighted signal for the Z direction and the <math>W_d</math> weighted signal for the X and Y directions. You then must [[NVGate Display|display]] the three RMS level in the same window : 

[[Image:RMS.png|500px]]

===Ah and Ah(8)===
===VDV Texp===

==Practical information about measurements==

Durée de mesure
Type de mesure
Placement des capteurs
Exemple de capteur : [[https://www.dytran.com/Search/?searchText=seat+pad|Seat Pad accelerometer]]
Capteur avec adaptateurs hand arms

Human Vibration

2020-12-03T12:01:38Z

NIcolasAegerter: /* In the toolkit */

The OROS Body Vibration tool allow you to evaluate the affect of vibration on the human body according to standards ISO 2651 and ISO 5349. These standard define measurement practice and vibration signal analysis to evaluate the affect on health and and comfort of environmental and equipment vibrations on the Human body. 

The ISO 2651 describe the affect on health and comfort of vibration on the whole-body in transportation system, and the ISO 5349 the affect on health of vibration on hands and arms when manipulating machine-tools or vibrating objects. In the following, we will see how to use OROS to evaluate these effect. 
 
This is a post analysis toolkit, operating alongside NVGate after the recording of the signal and will help you to calculate time-weighted signal of acceleration and specific indicators both defined in the standards. 
[[Image:OROS_BodyVib2.png|800px|none]]
 
==Download & install==
Download the program here (version from 16/11/2020) :
https://orossas.sharepoint.com/:u:/g/support/ERx7p7QyS3tFvwhLyzDk-I8BhYdZULbj1WYLRA4xHJGc7A?e=sdgiBS

Once downloaded, you can unzip the folder and lunch the installer program Setup_OROS_BodyVibration_Tool_vXX.exe. Follow the step of the program to properly install the software. 

The program will be installed in "C:\OROS\Programs\ExternalTools". Shortcuts are created on the main desktop, in the Windows Start program and in the "Link" repertory of NVGate. By that way you can directly run the program from NVGate.

==How to use==

<ol>
<li>Launch NVGate </li>
<li>Launch OROS_BodyVibration_Tool.exe </li>
<li>Open a project in NVGate </li>

[[File:Open_Proj.png]]
 
<li>In the tool, Click on list measurement to list all the measurement present in the project (only the measurement where the signal files are actually on the disk will be displayed. Ensure you have [[NVGate_Project_manager#Uploading.2FDownloading|downloaded signal from the OR3X disk]]) </li>
[[Image:List_Meas.png|400px|none]]
<li>Add the measurement you want to analyse in the "selected list" area using the ">>" button. Use the "<<" button to remove file if needed. </li>
[[Image:Add_Rmv.png|400px|none]]
<li>Click on "Select Directions" to set the direction and sensor for each channel (This step is not necessary if you only want the time-weighted signals). </li>
[[Image:Select_DOF.png|400px|none]]
<li>Select the weighting you want to apply on the time signal </li>
[[Image:Select_Filter.png|400px|none]]
<li>Select the weighting you want to apply for each direction X, Y and Z used for the indicators </li>
[[Image:Select_Process_Filt.png|400px|none]]
<li>Select the metrics you want to calculate </li>
[[Image:Select_Metric.png|400px|none]]
<li>Click on "Start Processing" </li>
[[Image:Strat_Proc.png|400px|none]]
<li>The processing is completed when a the following pop-up window appear. The results and weighted signal have added to the current NVGate project. See the next sections for details. </li>
[[Image:The_End.png|400px|none]]
</ol>

==Toolkit results==
===Time-weighted signal===
Studies of the affect of vibrations on the human body suggest that part of the body don't have the same response to vibrations, and will be sensitive to specific frequencies and transient component of vibration signal. In order to represent the sensitivity of the human boy, ISO standards defined time-weighting that must applied to the signal according to the environmental conditions. The following part present you how to apply time-weighting filters to your signal using the toolkit.
====Time-weighting filters====
As defined in the standards, specific time weighting must be applied to the acceleration signal in order to represent the effect of vibrations on health and comfort. Here is the list of the different time-weighting filters implemented in the toolkit : 
{| class="wikitable" style="margin: auto;"
|+style="caption-side:bottom;"|''Time-weighting filters''
|-
|style="height:30px; width:100px;"|<math>W_k</math>
|Time weighting for the Z axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_d</math>
|Time weighting for the X and Y axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_h</math>
|Time weighting for the hand-arms measurement in any direction (ISO 5349-1)
|-
|style="height:30px; width:100px;"|<math>W_f</math>
|Time weighting for motion sickness measurement in the vertical direction (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_c</math>
|Time weighting for the X axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_e</math>
|Time weighting for all rotational directions for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_j</math>
|Time weighting for the Z axis for head comfort measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_m</math>
|Time weighting for all directions for building's vibration comfort measurement (ISO 2651-2)
|}

Filters have been validated from 0.5 to 10kHz at 25.6kSample/second.

====Usage in the toolkit====
The toolkit allow you to calculate the filtered raw signal with any of the above weighting filters. This will allow you to display [[NVGate FFT Analyzer|spectrums]] and calculate RMS via [[NVGate_Post_Analysis|post-analysis]] in NVGate.

To calculate the raw weighted signal, simply select the filters you want in the "Time signal filters" section :

[[Image:Filter2.png]]

Once the processing is completed, a new measurement containing the filtered signal for each selected filter is created in [[NVGate Project manager|NVGate Project Manager]] :

[[Image:Filtered_Sig.png|400px]]
 
You can then load the new signals in the player as any NVGate signal. Each track of the signal is filtered with the corresponding filter. 

[[Image:Sig_In_ Player.png|800px]]

===Health and comfort indicator===
In addition to the time-weighting filters, the ISO standards present a series of specific metrics to evaluate the affect of vibrations on the Human body. The following section will present you how to use the toolkit to access these metrics.
====Indicators====

{| class="wikitable" style="margin: auto;"
|+style="caption-side:bottom;"|''Body vibration indicators''
|-
|style="height:30px; width:100px;"|<math>A_w</math>
|RMS of the weighted acceleration magnitude.
|-
|style="height:30px; width:100px;"|<math>a_v</math>
|Total RMS value calculated as a quadratic average of the three direction for each tri-axial sensor.
|-
|style="height:30px; width:100px;"|<math>A_h</math>
|RMS of the <math>W_h</math> weighted acceleration magnitude.
|-
|style="height:30px; width:100px;"|<math>Peak</math>
|Amplitude Peak of the vibration; maximal amplitude of the signal from the 0 (Calculated from Post processing in NVGate)
|-
|style="height:30px; width:100px;"|<math>Crest factor</math>
|Ratio between the Peak level and the RMS of the weighted signal(Calculated from Post processing in NVGate)
|-
|style="height:30px; width:100px;"|<math>MTVV</math>
|Maximum Transient Vibration Value, represent the maximal RMS value of the signal
|-
|style="height:30px; width:100px;"|<math>VDV</math>
|Vibration Dose Value, taking into account the temporal shocks in the signal
|-
|style="height:30px; width:100px;"|<math>MSDV</math>
|Motion Sickness Dose Value, representing the comfort in transportation measurement
|-
|style="height:30px; width:100px;"|<math>D_k</math>
|The Acceleration Dose, representing the affect of the vibration on the spine
|-
|style="height:30px; width:100px;"|<math>Se</math>
|The equivalent Static compression stress on the spine, caused by repeated shocks
|}

======Aw======

The <math>A_w</math> is the RMS of the weighted acceleration signal. The weighting is applied in accordance with the direction set for each channel and the weighting filter defined for the direction. 

For each channel, the <math>A_w</math> and <math>A_w(T)</math> will be calculated. The <math>A_w(T)</math> is the Daily exposure value, defined as : 
<math display="block" forcemathmode="5">A_w(T) = A_w*k_{i}*\sqrt{\frac{T}{T_m}}</math>
 
With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter. the <math>k_i</math> factor is defined in the ISO 2631 as <math>k_X = k_Y = 1.4</math> and <math>k_Z = 1</math>.

When comparing result from one measurement point in the three direction, the maximum of the Daily exposure value must be used as the total daily exposure value at that point : 
<math display="block" forcemathmode="5">A_w(T) = max(A_{wX}(T), A_{wY}(T), A_{wZ}(T)) </math>
 
======av======
The <math>a_v</math> is the total RMS vibration value of the weighted acceleration signal. This value will only be calculated if a sensor have been defined in the definition of direction window.

For each tri-axial sensor, the <math>a_v</math> will be calculated as a quadratic average of the weighted RMS value in the three directions : 

<math display="block" forcemathmode="5">a_v = \sqrt{{a_{vX}}^{2}*{k_{X}}^{2} + {a_{vY}}^{2}*{k_{Y}}^{2} + {a_{vZ}}^{2}*{k_{Z}}^{2}}</math> 
With <math>k_{X,Y,Z}</math> a factor defined in the ISO 2631 as <math>k_{X}=k_{Y}=1.4</math> and <math>k_{Z}=1</math>
 
======Ah======
The <math>A_h</math> is the RMS of the <math>W_h</math> weighted acceleration signal for hand-arms vibration measurement. For each channel, the <math>A_h</math> and <math>A_h(T)</math> will be calculated. The <math>A_h(T)</math> is the Daily exposure value, defined as : 

<math display="block" forcemathmode="5">A_h(T) = A_h*\sqrt{\frac{T}{T_m}}</math> 

With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter. 

If any sensor is defined, the total <math>A_h</math> and <math>A_h(T)</math> will be calculated for each sensor as a quadratic average of the three direction of the sensor : 
<math display="block" forcemathmode="5">A_{h Total} = \sqrt{{a_{hX}}^{2}*{k_{X}}^{2} + {a_{hY}}^{2}*{k_{Y}}^{2} + {a_{hZ}}^{2}*{k_{Z}}^{2}}</math>
 
and : 
 
<math display="block" forcemathmode="5">A_{h Total}(T) = \sqrt{{a_{hX}}^{2}*{k_{X}}^{2} + {a_{hY}}^{2}*{k_{Y}}^{2} + {a_{hZ}}^{2}*{k_{Z}}^{2}}*\sqrt{\frac{T}{T_m}}</math>
 
With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter, and <math>k_{X}=k_{Y}=k_{Z}=1</math>
 

======Peak======

This indicator is the [[NVGate_Time_Domain_Analysis#Available_results|peak amplitude]] of the vibration signal. It represent the maximal amplitude of the weighted signal. This indicator can be obtained in NVGate by [[NVGate Post Analysis|post-analysing]] the weighted signal with the [[NVGate Time Domain Analysis|TDA plugin of NVGate]].

======MTVV======
The MTVV is the Maximal Transient Vibration Value, is the maximum of the running RMS of the weighted acceleration. This value is calculated for each channel and is expressed in m/s².

The MTVV Tau is the integration time, expressed in seconds. This value can be edited before the calculation, but the ISO 2631 recommand to use 1 second. Therefore this is the default value of this parameter.

======VDV======
The VDV is the forth power Vibration Dose Value. It is calculated as a cumulative sum of the weighted acceleration at the forth power. The forth power is used to give more weight to the transient event of the signal over the periodic event. Therefore, this indicator must be used to asses the effect of shock on human health and comfort. The VDV is calculated for each channel and expressed in m/s^(1.75). 

If the "VDVTexp" box is checked, an evaluation of the VDV value over a longer time period will be calculated of each channel as : 
<math display="block" forcemathmode="5">VDV_{X,Y,Z}(T) = VDV_{X,Y,Z}*k_{X,Y,Z}*\sqrt[4]{\frac{T}{T_m}}</math> 

With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter, and <math>k_{X}=k_{Y}=1.4</math>, and <math>k_{Z}=1</math>
======MSDV======
This metric is the Motion Sickness Dose Value, used to evaluate the ride comfort in in-vehicle measurement. It is expressed in m.s^(1.5). 

Although this value will be calculated for each direction, only the Z-direction will have a prominent relevance to assess ride comfort.
======Dk======
<math>D_k</math> is the acceleration dose. It is use to evaluate the effect of vibrations on the human spine, and calculated as the 6th root of the sum of the peaks in the acceleration signal raised at the 6th power. it is expressed in m/s². Peaks are defined as the absolute maximum of the acceleration signal between two zeros crossing. In the Z direction, only the positive peak will be considered, were all positive and negative peaks are used for the X and Y directions. 

Specific filters are used to weight the acceleration signal before calculating the <math>D_k</math>. These filter are different for the vertical and horizontal direction, and are defined for a sampling rate of 160 Sample/second. Therefore, we advise to [[NVGate Recorder|record]] the signal with a low [[NVGate_Front_End#Input_settings|sampling rate]] in NVGate. 

Assessing the affect of the vibration on human spine most is important when dealing with transportation vehicular, especially from driver seat. for a better evaluation, the ISO 2631-5 advise to calculate the daily acceleration dose, defined as : 

<math display="block" forcemathmode="5">D_{X,Y,Z}(T) = D_{X,Y,Z}*\sqrt[6]{\frac{T}{T_m}}</math> 

This value will be calculated if the box "Dk Texp" is checked.

======Se======
The Se is the compressive stress on the human spine, expressed in MPa. It is calculated by the combination the Dk in the three direction. Therefore, it will only be calculated if sensors are defined in the "Select Direction" window. One value of Se will be calculated for each sensor by the formula : 
<math display="block" forcemathmode="5">Se = \sqrt[6]{\sum_{k=X,Y,Z}(D_{k}*m_{k})^6}</math> 

Where <math>m_{X} = 0,015</math> MPa/(m/s²), <math>m_{Y} = 0,035</math> MPa/(m/s²) and <math>m_{Z} = 0,032</math> MPa/(m/s²). 

To evaluate the lumbar stress over a daily exposition time, the Se(T) will also be calculated as : 
<math display="block" forcemathmode="5">Se(T) = \sqrt[6]{\sum_{k=X,Y,Z}(D_{k}(T)*m_{k})^6}</math> 

T being the total exposure duration represented by the "Reference time" parameter. 

====In the toolkit====
Before calculating the indicators in the toolkit, you must define a filter for each directions. Filters will be selected in accordance with the wanted result (Hand-arms; Whole-Body, ..) and the direction of the measurement as specified in the table [[Human_Vibration#Time-weighting_filters|describing the filters]]. Filters will be applied to the signal before calculating the indicators, but the time-filtered signal will not be saved. 
[[Image:proc_filt.png]]

You will then need to enter the reference time you want to use to estimate the parameters on a greater duration. This duration must be entered in second. The default value is 288500 second, corresponding to a 8 hours measurement: 
[[Image:Ref_Time.png]]

You will finally need to enter the MTVV Tau value. The MTVV Tau is the integration time in seconds used for the calculation of the MTVV. The ISO 2651 recommand to use 1sec. This is the default value of the setting. 

Once the filters selected and the parameters competed, you can select the metrics you want to calculate by checking the different boxes. 
[[Image:all_proc.png]] 
You can then start the processing to calculate the indicators. 

Once completed, the result can be find the currently opened project in the [[NVGate Project manager]]. A new measurement called "NAME_OF_THE_Signal_out" containing the result is created. As many measurement folder as selected signal will be created during the processing. 
[[Image:Project_Manager_results.png]]

Each indicator is calculated for each direction and for each track of the signal. The name of the result contain the name of the track, the considered direction and the filter used for that direction (except for the <math>D_k</math> which use specific filters). The following picture show the indicators for the first track (SeatPadX) of the signal : 
[[Image:Result_for_track.png]]

Here this track represent the X direction. We can remove the results in irrelevant directions (Y and Z) for this track by a right click, and repeat this operation for each channel : 

/Insert image of the result with only relevant direction when bug solve/

You can then display the result in NVGate by double clicking.

==Calculating the other indicators with NVGate==
===<math>A_w</math>===
<math>A_w</math> is the daily vibration dose. It is calculated from an average of the RMS values form the weighted signal and represent the "quantity" of vibration the human body will receive when using of the tested equipment.

This value is defined as : <math>A_w = \sqrt{(k_{x}*a_{w_{x}})^2+(k_{y}*a_{w_{y}})^2+(k_{z}*a_{w_{z}})^2}</math>, with <math>k_i</math> defined in the standard and <math>a_{w_{x}}</math> the RMS value of the weighted acceleration signal in accordance to the direction, as defined in the [[Human_Vibration#Time-weighting_filters|table of the precedent section]]. 

====Calculation in NVGate====

To calculate the <math>A_w</math> in NVGate, calculmate the [[NVGate Time Domain Analysis#RMS|RMS level]] of the weighted signal in [[NVGate_Post_Analysis|Post analysis]]. Here, we will calculate the <math>A_w</math> for the SeatPad measurement as defined for a whole-body measurement in the ISO 2651. According to the [Human_Vibration#Time-weighting_filters|table]], we need to calculate the RMS level of the <math>W_k</math> weighted signal for the Z direction and the <math>W_d</math> weighted signal for the X and Y directions. You then must [[NVGate Display|display]] the three RMS level in the same window : 

[[Image:RMS.png|500px]]

===Ah and Ah(8)===
===VDV Texp===

==Practical information about measurements==

Durée de mesure
Type de mesure
Placement des capteurs
Exemple de capteur : [[https://www.dytran.com/Search/?searchText=seat+pad|Seat Pad accelerometer]]
Capteur avec adaptateurs hand arms

Human Vibration

2020-12-03T11:39:09Z

NIcolasAegerter: /* In the toolkit */

The OROS Body Vibration tool allow you to evaluate the affect of vibration on the human body according to standards ISO 2651 and ISO 5349. These standard define measurement practice and vibration signal analysis to evaluate the affect on health and and comfort of environmental and equipment vibrations on the Human body. 

The ISO 2651 describe the affect on health and comfort of vibration on the whole-body in transportation system, and the ISO 5349 the affect on health of vibration on hands and arms when manipulating machine-tools or vibrating objects. In the following, we will see how to use OROS to evaluate these effect. 
 
This is a post analysis toolkit, operating alongside NVGate after the recording of the signal and will help you to calculate time-weighted signal of acceleration and specific indicators both defined in the standards. 
[[Image:OROS_BodyVib2.png|800px|none]]
 
==Download & install==
Download the program here (version from 16/11/2020) :
https://orossas.sharepoint.com/:u:/g/support/ERx7p7QyS3tFvwhLyzDk-I8BhYdZULbj1WYLRA4xHJGc7A?e=sdgiBS

Once downloaded, you can unzip the folder and lunch the installer program Setup_OROS_BodyVibration_Tool_vXX.exe. Follow the step of the program to properly install the software. 

The program will be installed in "C:\OROS\Programs\ExternalTools". Shortcuts are created on the main desktop, in the Windows Start program and in the "Link" repertory of NVGate. By that way you can directly run the program from NVGate.

==How to use==

<ol>
<li>Launch NVGate </li>
<li>Launch OROS_BodyVibration_Tool.exe </li>
<li>Open a project in NVGate </li>

[[File:Open_Proj.png]]
 
<li>In the tool, Click on list measurement to list all the measurement present in the project (only the measurement where the signal files are actually on the disk will be displayed. Ensure you have [[NVGate_Project_manager#Uploading.2FDownloading|downloaded signal from the OR3X disk]]) </li>
[[Image:List_Meas.png|400px|none]]
<li>Add the measurement you want to analyse in the "selected list" area using the ">>" button. Use the "<<" button to remove file if needed. </li>
[[Image:Add_Rmv.png|400px|none]]
<li>Click on "Select Directions" to set the direction and sensor for each channel (This step is not necessary if you only want the time-weighted signals). </li>
[[Image:Select_DOF.png|400px|none]]
<li>Select the weighting you want to apply on the time signal </li>
[[Image:Select_Filter.png|400px|none]]
<li>Select the weighting you want to apply for each direction X, Y and Z used for the indicators </li>
[[Image:Select_Process_Filt.png|400px|none]]
<li>Select the metrics you want to calculate </li>
[[Image:Select_Metric.png|400px|none]]
<li>Click on "Start Processing" </li>
[[Image:Strat_Proc.png|400px|none]]
<li>The processing is completed when a the following pop-up window appear. The results and weighted signal have added to the current NVGate project. See the next sections for details. </li>
[[Image:The_End.png|400px|none]]
</ol>

==Toolkit results==
===Time-weighted signal===
Studies of the affect of vibrations on the human body suggest that part of the body don't have the same response to vibrations, and will be sensitive to specific frequencies and transient component of vibration signal. In order to represent the sensitivity of the human boy, ISO standards defined time-weighting that must applied to the signal according to the environmental conditions. The following part present you how to apply time-weighting filters to your signal using the toolkit.
====Time-weighting filters====
As defined in the standards, specific time weighting must be applied to the acceleration signal in order to represent the effect of vibrations on health and comfort. Here is the list of the different time-weighting filters implemented in the toolkit : 
{| class="wikitable" style="margin: auto;"
|+style="caption-side:bottom;"|''Time-weighting filters''
|-
|style="height:30px; width:100px;"|<math>W_k</math>
|Time weighting for the Z axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_d</math>
|Time weighting for the X and Y axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_h</math>
|Time weighting for the hand-arms measurement in any direction (ISO 5349-1)
|-
|style="height:30px; width:100px;"|<math>W_f</math>
|Time weighting for motion sickness measurement in the vertical direction (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_c</math>
|Time weighting for the X axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_e</math>
|Time weighting for all rotational directions for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_j</math>
|Time weighting for the Z axis for head comfort measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_m</math>
|Time weighting for all directions for building's vibration comfort measurement (ISO 2651-2)
|}

Filters have been validated from 0.5 to 10kHz at 25.6kSample/second.

====Usage in the toolkit====
The toolkit allow you to calculate the filtered raw signal with any of the above weighting filters. This will allow you to display [[NVGate FFT Analyzer|spectrums]] and calculate RMS via [[NVGate_Post_Analysis|post-analysis]] in NVGate.

To calculate the raw weighted signal, simply select the filters you want in the "Time signal filters" section :

[[Image:Filter2.png]]

Once the processing is completed, a new measurement containing the filtered signal for each selected filter is created in [[NVGate Project manager|NVGate Project Manager]] :

[[Image:Filtered_Sig.png|400px]]
 
You can then load the new signals in the player as any NVGate signal. Each track of the signal is filtered with the corresponding filter. 

[[Image:Sig_In_ Player.png|800px]]

===Health and comfort indicator===
In addition to the time-weighting filters, the ISO standards present a series of specific metrics to evaluate the affect of vibrations on the Human body. The following section will present you how to use the toolkit to access these metrics.
====Indicators====

{| class="wikitable" style="margin: auto;"
|+style="caption-side:bottom;"|''Body vibration indicators''
|-
|style="height:30px; width:100px;"|<math>A_w</math>
|RMS of the weighted acceleration magnitude.
|-
|style="height:30px; width:100px;"|<math>a_v</math>
|Total RMS value calculated as a quadratic average of the three direction for each tri-axial sensor.
|-
|style="height:30px; width:100px;"|<math>A_h</math>
|RMS of the <math>W_h</math> weighted acceleration magnitude.
|-
|style="height:30px; width:100px;"|<math>Peak</math>
|Amplitude Peak of the vibration; maximal amplitude of the signal from the 0 (Calculated from Post processing in NVGate)
|-
|style="height:30px; width:100px;"|<math>Crest factor</math>
|Ratio between the Peak level and the RMS of the weighted signal(Calculated from Post processing in NVGate)
|-
|style="height:30px; width:100px;"|<math>MTVV</math>
|Maximum Transient Vibration Value, represent the maximal RMS value of the signal
|-
|style="height:30px; width:100px;"|<math>VDV</math>
|Vibration Dose Value, taking into account the temporal shocks in the signal
|-
|style="height:30px; width:100px;"|<math>MSDV</math>
|Motion Sickness Dose Value, representing the comfort in transportation measurement
|-
|style="height:30px; width:100px;"|<math>D_k</math>
|The Acceleration Dose, representing the affect of the vibration on the spine
|-
|style="height:30px; width:100px;"|<math>Se</math>
|The equivalent Static compression stress on the spine, caused by repeated shocks
|}

======Aw======

The <math>A_w</math> is the RMS of the weighted acceleration signal. The weighting is applied in accordance with the direction set for each channel and the weighting filter defined for the direction. 

For each channel, the <math>A_w</math> and <math>A_w(T)</math> will be calculated. The <math>A_w(T)</math> is the Daily exposure value, defined as : 
<math display="block" forcemathmode="5">A_w(T) = A_w*k_{i}*\sqrt{\frac{T}{T_m}}</math>
 
With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter. the <math>k_i</math> factor is defined in the ISO 2631 as <math>k_X = k_Y = 1.4</math> and <math>k_Z = 1</math>.

When comparing result from one measurement point in the three direction, the maximum of the Daily exposure value must be used as the total daily exposure value at that point : 
<math display="block" forcemathmode="5">A_w(T) = max(A_{wX}(T), A_{wY}(T), A_{wZ}(T)) </math>
 
======av======
The <math>a_v</math> is the total RMS vibration value of the weighted acceleration signal. This value will only be calculated if a sensor have been defined in the definition of direction window.

For each tri-axial sensor, the <math>a_v</math> will be calculated as a quadratic average of the weighted RMS value in the three directions : 

<math display="block" forcemathmode="5">a_v = \sqrt{{a_{vX}}^{2}*{k_{X}}^{2} + {a_{vY}}^{2}*{k_{Y}}^{2} + {a_{vZ}}^{2}*{k_{Z}}^{2}}</math> 
With <math>k_{X,Y,Z}</math> a factor defined in the ISO 2631 as <math>k_{X}=k_{Y}=1.4</math> and <math>k_{Z}=1</math>
 
======Ah======
The <math>A_h</math> is the RMS of the <math>W_h</math> weighted acceleration signal for hand-arms vibration measurement. For each channel, the <math>A_h</math> and <math>A_h(T)</math> will be calculated. The <math>A_h(T)</math> is the Daily exposure value, defined as : 

<math display="block" forcemathmode="5">A_h(T) = A_h*\sqrt{\frac{T}{T_m}}</math> 

With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter. 

If any sensor is defined, the total <math>A_h</math> and <math>A_h(T)</math> will be calculated for each sensor as a quadratic average of the three direction of the sensor : 
<math display="block" forcemathmode="5">A_{h Total} = \sqrt{{a_{hX}}^{2}*{k_{X}}^{2} + {a_{hY}}^{2}*{k_{Y}}^{2} + {a_{hZ}}^{2}*{k_{Z}}^{2}}</math>
 
and : 
 
<math display="block" forcemathmode="5">A_{h Total}(T) = \sqrt{{a_{hX}}^{2}*{k_{X}}^{2} + {a_{hY}}^{2}*{k_{Y}}^{2} + {a_{hZ}}^{2}*{k_{Z}}^{2}}*\sqrt{\frac{T}{T_m}}</math>
 
With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter, and <math>k_{X}=k_{Y}=k_{Z}=1</math>
 

======Peak======

This indicator is the [[NVGate_Time_Domain_Analysis#Available_results|peak amplitude]] of the vibration signal. It represent the maximal amplitude of the weighted signal. This indicator can be obtained in NVGate by [[NVGate Post Analysis|post-analysing]] the weighted signal with the [[NVGate Time Domain Analysis|TDA plugin of NVGate]].

======MTVV======
The MTVV is the Maximal Transient Vibration Value, is the maximum of the running RMS of the weighted acceleration. This value is calculated for each channel and is expressed in m/s².

The MTVV Tau is the integration time, expressed in seconds. This value can be edited before the calculation, but the ISO 2631 recommand to use 1 second. Therefore this is the default value of this parameter.

======VDV======
The VDV is the forth power Vibration Dose Value. It is calculated as a cumulative sum of the weighted acceleration at the forth power. The forth power is used to give more weight to the transient event of the signal over the periodic event. Therefore, this indicator must be used to asses the effect of shock on human health and comfort. The VDV is calculated for each channel and expressed in m/s^(1.75). 

If the "VDVTexp" box is checked, an evaluation of the VDV value over a longer time period will be calculated of each channel as : 
<math display="block" forcemathmode="5">VDV_{X,Y,Z}(T) = VDV_{X,Y,Z}*k_{X,Y,Z}*\sqrt[4]{\frac{T}{T_m}}</math> 

With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter, and <math>k_{X}=k_{Y}=1.4</math>, and <math>k_{Z}=1</math>
======MSDV======
This metric is the Motion Sickness Dose Value, used to evaluate the ride comfort in in-vehicle measurement. It is expressed in m.s^(1.5). 

Although this value will be calculated for each direction, only the Z-direction will have a prominent relevance to assess ride comfort.
======Dk======
<math>D_k</math> is the acceleration dose. It is use to evaluate the effect of vibrations on the human spine, and calculated as the 6th root of the sum of the peaks in the acceleration signal raised at the 6th power. it is expressed in m/s². Peaks are defined as the absolute maximum of the acceleration signal between two zeros crossing. In the Z direction, only the positive peak will be considered, were all positive and negative peaks are used for the X and Y directions. 

Specific filters are used to weight the acceleration signal before calculating the <math>D_k</math>. These filter are different for the vertical and horizontal direction, and are defined for a sampling rate of 160 Sample/second. Therefore, we advise to [[NVGate Recorder|record]] the signal with a low [[NVGate_Front_End#Input_settings|sampling rate]] in NVGate. 

Assessing the affect of the vibration on human spine most is important when dealing with transportation vehicular, especially from driver seat. for a better evaluation, the ISO 2631-5 advise to calculate the daily acceleration dose, defined as : 

<math display="block" forcemathmode="5">D_{X,Y,Z}(T) = D_{X,Y,Z}*\sqrt[6]{\frac{T}{T_m}}</math> 

This value will be calculated if the box "Dk Texp" is checked.

======Se======
The Se is the compressive stress on the human spine, expressed in MPa. It is calculated by the combination the Dk in the three direction. Therefore, it will only be calculated if sensors are defined in the "Select Direction" window. One value of Se will be calculated for each sensor by the formula : 
<math display="block" forcemathmode="5">Se = \sqrt[6]{\sum_{k=X,Y,Z}(D_{k}*m_{k})^6}</math> 

Where <math>m_{X} = 0,015</math> MPa/(m/s²), <math>m_{Y} = 0,035</math> MPa/(m/s²) and <math>m_{Z} = 0,032</math> MPa/(m/s²). 

To evaluate the lumbar stress over a daily exposition time, the Se(T) will also be calculated as : 
<math display="block" forcemathmode="5">Se(T) = \sqrt[6]{\sum_{k=X,Y,Z}(D_{k}(T)*m_{k})^6}</math> 

T being the total exposure duration represented by the "Reference time" parameter. 

====In the toolkit====
Before calculating the indicators in the toolkit, you must define a filter for each directions. Filters will be selected in accordance with the wanted result (Hand-arms; Whole-Body, ..) and the direction of the measurement as specified in the table [[Human_Vibration#Time-weighting_filters|describing the filters]]. Filters will be applied to the signal before calculating the indicators, but the time-filtered signal will not be saved. 
[[Image:proc_filt.png]]

You will then need to enter the reference time you want to use to estimate the parameters on a greater duration. This duration must be entered in second. The default value is 288500 second, corresponding to a 8 hours measurement: 
[[Image:Ref_Time.png]]

You will finally need to enter the MTVV Tau value. The MTVV Tau is the integration time in seconds used for the calculation of the MTVV. The ISO 2651 recommand to use 1sec. This is the default value of the setting. 

Once the filters selected and the parameters competed, you can select the metrics you want to calculate by checking the different boxes. 
[[Image:all_proc.png]]
You can then start the processing to calculate the indicators. 

Once completed, the result can be find the currently opened project in the [[NVGate Project manager]]. A new measurement called "NAME_OF_THE_Signal_out" containing the result is created. As many measurement folder as selected signal will be created during the processing. 
[[Image:Project_Manager_results.png]]

Each indicator is calculated for each direction and for each track of the signal. The name of the result contain the name of the track, the considered direction and the filter used for that direction (except for the <math>D_k</math> which use specific filters). The following picture show the indicators for the first track (SeatPadX) of the signal : 
[[Image:Result_for_track.png]]

Here this track represent the X direction. We can remove the results in irrelevant directions (Y and Z) for this track by a right click, and repeat this operation for each channel : 

/Insert image of the result with only relevant direction when bug solve/

You can then display the result in NVGate by double clicking.

==Calculating the other indicators with NVGate==
===<math>A_w</math>===
<math>A_w</math> is the daily vibration dose. It is calculated from an average of the RMS values form the weighted signal and represent the "quantity" of vibration the human body will receive when using of the tested equipment.

This value is defined as : <math>A_w = \sqrt{(k_{x}*a_{w_{x}})^2+(k_{y}*a_{w_{y}})^2+(k_{z}*a_{w_{z}})^2}</math>, with <math>k_i</math> defined in the standard and <math>a_{w_{x}}</math> the RMS value of the weighted acceleration signal in accordance to the direction, as defined in the [[Human_Vibration#Time-weighting_filters|table of the precedent section]]. 

====Calculation in NVGate====

To calculate the <math>A_w</math> in NVGate, calculmate the [[NVGate Time Domain Analysis#RMS|RMS level]] of the weighted signal in [[NVGate_Post_Analysis|Post analysis]]. Here, we will calculate the <math>A_w</math> for the SeatPad measurement as defined for a whole-body measurement in the ISO 2651. According to the [Human_Vibration#Time-weighting_filters|table]], we need to calculate the RMS level of the <math>W_k</math> weighted signal for the Z direction and the <math>W_d</math> weighted signal for the X and Y directions. You then must [[NVGate Display|display]] the three RMS level in the same window : 

[[Image:RMS.png|500px]]

===Ah and Ah(8)===
===VDV Texp===

==Practical information about measurements==

Durée de mesure
Type de mesure
Placement des capteurs
Exemple de capteur : [[https://www.dytran.com/Search/?searchText=seat+pad|Seat Pad accelerometer]]
Capteur avec adaptateurs hand arms

Human Vibration

2020-12-03T11:37:36Z

NIcolasAegerter: /* In the toolkit */

The OROS Body Vibration tool allow you to evaluate the affect of vibration on the human body according to standards ISO 2651 and ISO 5349. These standard define measurement practice and vibration signal analysis to evaluate the affect on health and and comfort of environmental and equipment vibrations on the Human body. 

The ISO 2651 describe the affect on health and comfort of vibration on the whole-body in transportation system, and the ISO 5349 the affect on health of vibration on hands and arms when manipulating machine-tools or vibrating objects. In the following, we will see how to use OROS to evaluate these effect. 
 
This is a post analysis toolkit, operating alongside NVGate after the recording of the signal and will help you to calculate time-weighted signal of acceleration and specific indicators both defined in the standards. 
[[Image:OROS_BodyVib2.png|800px|none]]
 
==Download & install==
Download the program here (version from 16/11/2020) :
https://orossas.sharepoint.com/:u:/g/support/ERx7p7QyS3tFvwhLyzDk-I8BhYdZULbj1WYLRA4xHJGc7A?e=sdgiBS

Once downloaded, you can unzip the folder and lunch the installer program Setup_OROS_BodyVibration_Tool_vXX.exe. Follow the step of the program to properly install the software. 

The program will be installed in "C:\OROS\Programs\ExternalTools". Shortcuts are created on the main desktop, in the Windows Start program and in the "Link" repertory of NVGate. By that way you can directly run the program from NVGate.

==How to use==

<ol>
<li>Launch NVGate </li>
<li>Launch OROS_BodyVibration_Tool.exe </li>
<li>Open a project in NVGate </li>

[[File:Open_Proj.png]]
 
<li>In the tool, Click on list measurement to list all the measurement present in the project (only the measurement where the signal files are actually on the disk will be displayed. Ensure you have [[NVGate_Project_manager#Uploading.2FDownloading|downloaded signal from the OR3X disk]]) </li>
[[Image:List_Meas.png|400px|none]]
<li>Add the measurement you want to analyse in the "selected list" area using the ">>" button. Use the "<<" button to remove file if needed. </li>
[[Image:Add_Rmv.png|400px|none]]
<li>Click on "Select Directions" to set the direction and sensor for each channel (This step is not necessary if you only want the time-weighted signals). </li>
[[Image:Select_DOF.png|400px|none]]
<li>Select the weighting you want to apply on the time signal </li>
[[Image:Select_Filter.png|400px|none]]
<li>Select the weighting you want to apply for each direction X, Y and Z used for the indicators </li>
[[Image:Select_Process_Filt.png|400px|none]]
<li>Select the metrics you want to calculate </li>
[[Image:Select_Metric.png|400px|none]]
<li>Click on "Start Processing" </li>
[[Image:Strat_Proc.png|400px|none]]
<li>The processing is completed when a the following pop-up window appear. The results and weighted signal have added to the current NVGate project. See the next sections for details. </li>
[[Image:The_End.png|400px|none]]
</ol>

==Toolkit results==
===Time-weighted signal===
Studies of the affect of vibrations on the human body suggest that part of the body don't have the same response to vibrations, and will be sensitive to specific frequencies and transient component of vibration signal. In order to represent the sensitivity of the human boy, ISO standards defined time-weighting that must applied to the signal according to the environmental conditions. The following part present you how to apply time-weighting filters to your signal using the toolkit.
====Time-weighting filters====
As defined in the standards, specific time weighting must be applied to the acceleration signal in order to represent the effect of vibrations on health and comfort. Here is the list of the different time-weighting filters implemented in the toolkit : 
{| class="wikitable" style="margin: auto;"
|+style="caption-side:bottom;"|''Time-weighting filters''
|-
|style="height:30px; width:100px;"|<math>W_k</math>
|Time weighting for the Z axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_d</math>
|Time weighting for the X and Y axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_h</math>
|Time weighting for the hand-arms measurement in any direction (ISO 5349-1)
|-
|style="height:30px; width:100px;"|<math>W_f</math>
|Time weighting for motion sickness measurement in the vertical direction (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_c</math>
|Time weighting for the X axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_e</math>
|Time weighting for all rotational directions for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_j</math>
|Time weighting for the Z axis for head comfort measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_m</math>
|Time weighting for all directions for building's vibration comfort measurement (ISO 2651-2)
|}

Filters have been validated from 0.5 to 10kHz at 25.6kSample/second.

====Usage in the toolkit====
The toolkit allow you to calculate the filtered raw signal with any of the above weighting filters. This will allow you to display [[NVGate FFT Analyzer|spectrums]] and calculate RMS via [[NVGate_Post_Analysis|post-analysis]] in NVGate.

To calculate the raw weighted signal, simply select the filters you want in the "Time signal filters" section :

[[Image:Filter2.png]]

Once the processing is completed, a new measurement containing the filtered signal for each selected filter is created in [[NVGate Project manager|NVGate Project Manager]] :

[[Image:Filtered_Sig.png|400px]]
 
You can then load the new signals in the player as any NVGate signal. Each track of the signal is filtered with the corresponding filter. 

[[Image:Sig_In_ Player.png|800px]]

===Health and comfort indicator===
In addition to the time-weighting filters, the ISO standards present a series of specific metrics to evaluate the affect of vibrations on the Human body. The following section will present you how to use the toolkit to access these metrics.
====Indicators====

{| class="wikitable" style="margin: auto;"
|+style="caption-side:bottom;"|''Body vibration indicators''
|-
|style="height:30px; width:100px;"|<math>A_w</math>
|RMS of the weighted acceleration magnitude.
|-
|style="height:30px; width:100px;"|<math>a_v</math>
|Total RMS value calculated as a quadratic average of the three direction for each tri-axial sensor.
|-
|style="height:30px; width:100px;"|<math>A_h</math>
|RMS of the <math>W_h</math> weighted acceleration magnitude.
|-
|style="height:30px; width:100px;"|<math>Peak</math>
|Amplitude Peak of the vibration; maximal amplitude of the signal from the 0 (Calculated from Post processing in NVGate)
|-
|style="height:30px; width:100px;"|<math>Crest factor</math>
|Ratio between the Peak level and the RMS of the weighted signal(Calculated from Post processing in NVGate)
|-
|style="height:30px; width:100px;"|<math>MTVV</math>
|Maximum Transient Vibration Value, represent the maximal RMS value of the signal
|-
|style="height:30px; width:100px;"|<math>VDV</math>
|Vibration Dose Value, taking into account the temporal shocks in the signal
|-
|style="height:30px; width:100px;"|<math>MSDV</math>
|Motion Sickness Dose Value, representing the comfort in transportation measurement
|-
|style="height:30px; width:100px;"|<math>D_k</math>
|The Acceleration Dose, representing the affect of the vibration on the spine
|-
|style="height:30px; width:100px;"|<math>Se</math>
|The equivalent Static compression stress on the spine, caused by repeated shocks
|}

======Aw======

The <math>A_w</math> is the RMS of the weighted acceleration signal. The weighting is applied in accordance with the direction set for each channel and the weighting filter defined for the direction. 

For each channel, the <math>A_w</math> and <math>A_w(T)</math> will be calculated. The <math>A_w(T)</math> is the Daily exposure value, defined as : 
<math display="block" forcemathmode="5">A_w(T) = A_w*k_{i}*\sqrt{\frac{T}{T_m}}</math>
 
With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter. the <math>k_i</math> factor is defined in the ISO 2631 as <math>k_X = k_Y = 1.4</math> and <math>k_Z = 1</math>.

When comparing result from one measurement point in the three direction, the maximum of the Daily exposure value must be used as the total daily exposure value at that point : 
<math display="block" forcemathmode="5">A_w(T) = max(A_{wX}(T), A_{wY}(T), A_{wZ}(T)) </math>
 
======av======
The <math>a_v</math> is the total RMS vibration value of the weighted acceleration signal. This value will only be calculated if a sensor have been defined in the definition of direction window.

For each tri-axial sensor, the <math>a_v</math> will be calculated as a quadratic average of the weighted RMS value in the three directions : 

<math display="block" forcemathmode="5">a_v = \sqrt{{a_{vX}}^{2}*{k_{X}}^{2} + {a_{vY}}^{2}*{k_{Y}}^{2} + {a_{vZ}}^{2}*{k_{Z}}^{2}}</math> 
With <math>k_{X,Y,Z}</math> a factor defined in the ISO 2631 as <math>k_{X}=k_{Y}=1.4</math> and <math>k_{Z}=1</math>
 
======Ah======
The <math>A_h</math> is the RMS of the <math>W_h</math> weighted acceleration signal for hand-arms vibration measurement. For each channel, the <math>A_h</math> and <math>A_h(T)</math> will be calculated. The <math>A_h(T)</math> is the Daily exposure value, defined as : 

<math display="block" forcemathmode="5">A_h(T) = A_h*\sqrt{\frac{T}{T_m}}</math> 

With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter. 

If any sensor is defined, the total <math>A_h</math> and <math>A_h(T)</math> will be calculated for each sensor as a quadratic average of the three direction of the sensor : 
<math display="block" forcemathmode="5">A_{h Total} = \sqrt{{a_{hX}}^{2}*{k_{X}}^{2} + {a_{hY}}^{2}*{k_{Y}}^{2} + {a_{hZ}}^{2}*{k_{Z}}^{2}}</math>
 
and : 
 
<math display="block" forcemathmode="5">A_{h Total}(T) = \sqrt{{a_{hX}}^{2}*{k_{X}}^{2} + {a_{hY}}^{2}*{k_{Y}}^{2} + {a_{hZ}}^{2}*{k_{Z}}^{2}}*\sqrt{\frac{T}{T_m}}</math>
 
With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter, and <math>k_{X}=k_{Y}=k_{Z}=1</math>
 

======Peak======

This indicator is the [[NVGate_Time_Domain_Analysis#Available_results|peak amplitude]] of the vibration signal. It represent the maximal amplitude of the weighted signal. This indicator can be obtained in NVGate by [[NVGate Post Analysis|post-analysing]] the weighted signal with the [[NVGate Time Domain Analysis|TDA plugin of NVGate]].

======MTVV======
The MTVV is the Maximal Transient Vibration Value, is the maximum of the running RMS of the weighted acceleration. This value is calculated for each channel and is expressed in m/s².

The MTVV Tau is the integration time, expressed in seconds. This value can be edited before the calculation, but the ISO 2631 recommand to use 1 second. Therefore this is the default value of this parameter.

======VDV======
The VDV is the forth power Vibration Dose Value. It is calculated as a cumulative sum of the weighted acceleration at the forth power. The forth power is used to give more weight to the transient event of the signal over the periodic event. Therefore, this indicator must be used to asses the effect of shock on human health and comfort. The VDV is calculated for each channel and expressed in m/s^(1.75). 

If the "VDVTexp" box is checked, an evaluation of the VDV value over a longer time period will be calculated of each channel as : 
<math display="block" forcemathmode="5">VDV_{X,Y,Z}(T) = VDV_{X,Y,Z}*k_{X,Y,Z}*\sqrt[4]{\frac{T}{T_m}}</math> 

With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter, and <math>k_{X}=k_{Y}=1.4</math>, and <math>k_{Z}=1</math>
======MSDV======
This metric is the Motion Sickness Dose Value, used to evaluate the ride comfort in in-vehicle measurement. It is expressed in m.s^(1.5). 

Although this value will be calculated for each direction, only the Z-direction will have a prominent relevance to assess ride comfort.
======Dk======
<math>D_k</math> is the acceleration dose. It is use to evaluate the effect of vibrations on the human spine, and calculated as the 6th root of the sum of the peaks in the acceleration signal raised at the 6th power. it is expressed in m/s². Peaks are defined as the absolute maximum of the acceleration signal between two zeros crossing. In the Z direction, only the positive peak will be considered, were all positive and negative peaks are used for the X and Y directions. 

Specific filters are used to weight the acceleration signal before calculating the <math>D_k</math>. These filter are different for the vertical and horizontal direction, and are defined for a sampling rate of 160 Sample/second. Therefore, we advise to [[NVGate Recorder|record]] the signal with a low [[NVGate_Front_End#Input_settings|sampling rate]] in NVGate. 

Assessing the affect of the vibration on human spine most is important when dealing with transportation vehicular, especially from driver seat. for a better evaluation, the ISO 2631-5 advise to calculate the daily acceleration dose, defined as : 

<math display="block" forcemathmode="5">D_{X,Y,Z}(T) = D_{X,Y,Z}*\sqrt[6]{\frac{T}{T_m}}</math> 

This value will be calculated if the box "Dk Texp" is checked.

======Se======
The Se is the compressive stress on the human spine, expressed in MPa. It is calculated by the combination the Dk in the three direction. Therefore, it will only be calculated if sensors are defined in the "Select Direction" window. One value of Se will be calculated for each sensor by the formula : 
<math display="block" forcemathmode="5">Se = \sqrt[6]{\sum_{k=X,Y,Z}(D_{k}*m_{k})^6}</math> 

Where <math>m_{X} = 0,015</math> MPa/(m/s²), <math>m_{Y} = 0,035</math> MPa/(m/s²) and <math>m_{Z} = 0,032</math> MPa/(m/s²). 

To evaluate the lumbar stress over a daily exposition time, the Se(T) will also be calculated as : 
<math display="block" forcemathmode="5">Se(T) = \sqrt[6]{\sum_{k=X,Y,Z}(D_{k}(T)*m_{k})^6}</math> 

T being the total exposure duration represented by the "Reference time" parameter. 

====In the toolkit====
Before calculating the indicators in the toolkit, you must define a filter for each directions. Filters will be selected in accordance with the wanted result (Hand-arms; Whole-Body, ..) and the direction of the measurement as specified in the table [[Human_Vibration#Time-weighting_filters|describing the filters]]. Filters will be applied to the signal before calculating the indicators, but the time-filtered signal will not be saved. 
[[Image:proc_filt.png]]

You will then need to enter the reference time you want to use to estimate the parameters on a greater duration. This duration must be entered in second. The default value is 288500 second, corresponding to a 8 hours measurement: 
[[Image:Ref_Time.png]]

You will finally need to enter the MTVV Tau value. The MTVV Tau is the integration time in seconds used for the calculation of the MTVV. The ISO 2651 recommand to use 1sec. This is the default value of the setting. 

Once the filters selected and the parameters competed, you can select the metrics you want to calculate by checking the different boxes.
You can then start the processing to calculate the indicators. 
[[Image:all_proc.png]]

Once completed, the result can be find the currently opened project in the [[NVGate Project manager]]. A new measurement called "NAME_OF_THE_Signal_out" containing the result is created. As many measurement folder as selected signal will be created during the processing. 
[[Image:Project_Manager_results.png]]

Each indicator is calculated for each direction and for each track of the signal. The name of the result contain the name of the track, the considered direction and the filter used for that direction (except for the <math>D_k</math> which use specific filters). The following picture show the indicators for the first track (SeatPadX) of the signal : 
[[Image:Result_for_track.png]]

Here this track represent the X direction. We can remove the results in irrelevant directions (Y and Z) for this track by a right click, and repeat this operation for each channel : 

/Insert image of the result with only relevant direction when bug solve/

You can then display the result in NVGate by double clicking.

==Calculating the other indicators with NVGate==
===<math>A_w</math>===
<math>A_w</math> is the daily vibration dose. It is calculated from an average of the RMS values form the weighted signal and represent the "quantity" of vibration the human body will receive when using of the tested equipment.

This value is defined as : <math>A_w = \sqrt{(k_{x}*a_{w_{x}})^2+(k_{y}*a_{w_{y}})^2+(k_{z}*a_{w_{z}})^2}</math>, with <math>k_i</math> defined in the standard and <math>a_{w_{x}}</math> the RMS value of the weighted acceleration signal in accordance to the direction, as defined in the [[Human_Vibration#Time-weighting_filters|table of the precedent section]]. 

====Calculation in NVGate====

To calculate the <math>A_w</math> in NVGate, calculmate the [[NVGate Time Domain Analysis#RMS|RMS level]] of the weighted signal in [[NVGate_Post_Analysis|Post analysis]]. Here, we will calculate the <math>A_w</math> for the SeatPad measurement as defined for a whole-body measurement in the ISO 2651. According to the [Human_Vibration#Time-weighting_filters|table]], we need to calculate the RMS level of the <math>W_k</math> weighted signal for the Z direction and the <math>W_d</math> weighted signal for the X and Y directions. You then must [[NVGate Display|display]] the three RMS level in the same window : 

[[Image:RMS.png|500px]]

===Ah and Ah(8)===
===VDV Texp===

==Practical information about measurements==

Durée de mesure
Type de mesure
Placement des capteurs
Exemple de capteur : [[https://www.dytran.com/Search/?searchText=seat+pad|Seat Pad accelerometer]]
Capteur avec adaptateurs hand arms

File:All proc.png

2020-12-03T11:36:40Z

NIcolasAegerter: File uploaded with MsUpload

File uploaded with MsUpload

File:Proc filt.png

2020-12-03T11:31:56Z

NIcolasAegerter: File uploaded with MsUpload

File uploaded with MsUpload

File:Ref Time.png

2020-12-03T11:31:55Z

NIcolasAegerter: File uploaded with MsUpload

File uploaded with MsUpload

Human Vibration

2020-12-02T17:23:01Z

NIcolasAegerter: /* Se */

The OROS Body Vibration tool allow you to evaluate the affect of vibration on the human body according to standards ISO 2651 and ISO 5349. These standard define measurement practice and vibration signal analysis to evaluate the affect on health and and comfort of environmental and equipment vibrations on the Human body. 

The ISO 2651 describe the affect on health and comfort of vibration on the whole-body in transportation system, and the ISO 5349 the affect on health of vibration on hands and arms when manipulating machine-tools or vibrating objects. In the following, we will see how to use OROS to evaluate these effect. 
 
This is a post analysis toolkit, operating alongside NVGate after the recording of the signal and will help you to calculate time-weighted signal of acceleration and specific indicators both defined in the standards. 
[[Image:OROS_BodyVib2.png|800px|none]]
 
==Download & install==
Download the program here (version from 16/11/2020) :
https://orossas.sharepoint.com/:u:/g/support/ERx7p7QyS3tFvwhLyzDk-I8BhYdZULbj1WYLRA4xHJGc7A?e=sdgiBS

Once downloaded, you can unzip the folder and lunch the installer program Setup_OROS_BodyVibration_Tool_vXX.exe. Follow the step of the program to properly install the software. 

The program will be installed in "C:\OROS\Programs\ExternalTools". Shortcuts are created on the main desktop, in the Windows Start program and in the "Link" repertory of NVGate. By that way you can directly run the program from NVGate.

==How to use==

<ol>
<li>Launch NVGate </li>
<li>Launch OROS_BodyVibration_Tool.exe </li>
<li>Open a project in NVGate </li>

[[File:Open_Proj.png]]
 
<li>In the tool, Click on list measurement to list all the measurement present in the project (only the measurement where the signal files are actually on the disk will be displayed. Ensure you have [[NVGate_Project_manager#Uploading.2FDownloading|downloaded signal from the OR3X disk]]) </li>
[[Image:List_Meas.png|400px|none]]
<li>Add the measurement you want to analyse in the "selected list" area using the ">>" button. Use the "<<" button to remove file if needed. </li>
[[Image:Add_Rmv.png|400px|none]]
<li>Click on "Select Directions" to set the direction and sensor for each channel (This step is not necessary if you only want the time-weighted signals). </li>
[[Image:Select_DOF.png|400px|none]]
<li>Select the weighting you want to apply on the time signal </li>
[[Image:Select_Filter.png|400px|none]]
<li>Select the weighting you want to apply for each direction X, Y and Z used for the indicators </li>
[[Image:Select_Process_Filt.png|400px|none]]
<li>Select the metrics you want to calculate </li>
[[Image:Select_Metric.png|400px|none]]
<li>Click on "Start Processing" </li>
[[Image:Strat_Proc.png|400px|none]]
<li>The processing is completed when a the following pop-up window appear. The results and weighted signal have added to the current NVGate project. See the next sections for details. </li>
[[Image:The_End.png|400px|none]]
</ol>

==Toolkit results==
===Time-weighted signal===
Studies of the affect of vibrations on the human body suggest that part of the body don't have the same response to vibrations, and will be sensitive to specific frequencies and transient component of vibration signal. In order to represent the sensitivity of the human boy, ISO standards defined time-weighting that must applied to the signal according to the environmental conditions. The following part present you how to apply time-weighting filters to your signal using the toolkit.
====Time-weighting filters====
As defined in the standards, specific time weighting must be applied to the acceleration signal in order to represent the effect of vibrations on health and comfort. Here is the list of the different time-weighting filters implemented in the toolkit : 
{| class="wikitable" style="margin: auto;"
|+style="caption-side:bottom;"|''Time-weighting filters''
|-
|style="height:30px; width:100px;"|<math>W_k</math>
|Time weighting for the Z axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_d</math>
|Time weighting for the X and Y axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_h</math>
|Time weighting for the hand-arms measurement in any direction (ISO 5349-1)
|-
|style="height:30px; width:100px;"|<math>W_f</math>
|Time weighting for motion sickness measurement in the vertical direction (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_c</math>
|Time weighting for the X axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_e</math>
|Time weighting for all rotational directions for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_j</math>
|Time weighting for the Z axis for head comfort measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_m</math>
|Time weighting for all directions for building's vibration comfort measurement (ISO 2651-2)
|}

Filters have been validated from 0.5 to 10kHz at 25.6kSample/second.

====Usage in the toolkit====
The toolkit allow you to calculate the filtered raw signal with any of the above weighting filters. This will allow you to display [[NVGate FFT Analyzer|spectrums]] and calculate RMS via [[NVGate_Post_Analysis|post-analysis]] in NVGate.

To calculate the raw weighted signal, simply select the filters you want in the "Time signal filters" section :

[[Image:Filter2.png]]

Once the processing is completed, a new measurement containing the filtered signal for each selected filter is created in [[NVGate Project manager|NVGate Project Manager]] :

[[Image:Filtered_Sig.png|400px]]
 
You can then load the new signals in the player as any NVGate signal. Each track of the signal is filtered with the corresponding filter. 

[[Image:Sig_In_ Player.png|800px]]

===Health and comfort indicator===
In addition to the time-weighting filters, the ISO standards present a series of specific metrics to evaluate the affect of vibrations on the Human body. The following section will present you how to use the toolkit to access these metrics.
====Indicators====

{| class="wikitable" style="margin: auto;"
|+style="caption-side:bottom;"|''Body vibration indicators''
|-
|style="height:30px; width:100px;"|<math>A_w</math>
|RMS of the weighted acceleration magnitude.
|-
|style="height:30px; width:100px;"|<math>a_v</math>
|Total RMS value calculated as a quadratic average of the three direction for each tri-axial sensor.
|-
|style="height:30px; width:100px;"|<math>A_h</math>
|RMS of the <math>W_h</math> weighted acceleration magnitude.
|-
|style="height:30px; width:100px;"|<math>Peak</math>
|Amplitude Peak of the vibration; maximal amplitude of the signal from the 0 (Calculated from Post processing in NVGate)
|-
|style="height:30px; width:100px;"|<math>Crest factor</math>
|Ratio between the Peak level and the RMS of the weighted signal(Calculated from Post processing in NVGate)
|-
|style="height:30px; width:100px;"|<math>MTVV</math>
|Maximum Transient Vibration Value, represent the maximal RMS value of the signal
|-
|style="height:30px; width:100px;"|<math>VDV</math>
|Vibration Dose Value, taking into account the temporal shocks in the signal
|-
|style="height:30px; width:100px;"|<math>MSDV</math>
|Motion Sickness Dose Value, representing the comfort in transportation measurement
|-
|style="height:30px; width:100px;"|<math>D_k</math>
|The Acceleration Dose, representing the affect of the vibration on the spine
|-
|style="height:30px; width:100px;"|<math>Se</math>
|The equivalent Static compression stress on the spine, caused by repeated shocks
|}

======Aw======

The <math>A_w</math> is the RMS of the weighted acceleration signal. The weighting is applied in accordance with the direction set for each channel and the weighting filter defined for the direction. 

For each channel, the <math>A_w</math> and <math>A_w(T)</math> will be calculated. The <math>A_w(T)</math> is the Daily exposure value, defined as : 
<math display="block" forcemathmode="5">A_w(T) = A_w*k_{i}*\sqrt{\frac{T}{T_m}}</math>
 
With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter. the <math>k_i</math> factor is defined in the ISO 2631 as <math>k_X = k_Y = 1.4</math> and <math>k_Z = 1</math>.

When comparing result from one measurement point in the three direction, the maximum of the Daily exposure value must be used as the total daily exposure value at that point : 
<math display="block" forcemathmode="5">A_w(T) = max(A_{wX}(T), A_{wY}(T), A_{wZ}(T)) </math>
 
======av======
The <math>a_v</math> is the total RMS vibration value of the weighted acceleration signal. This value will only be calculated if a sensor have been defined in the definition of direction window.

For each tri-axial sensor, the <math>a_v</math> will be calculated as a quadratic average of the weighted RMS value in the three directions : 

<math display="block" forcemathmode="5">a_v = \sqrt{{a_{vX}}^{2}*{k_{X}}^{2} + {a_{vY}}^{2}*{k_{Y}}^{2} + {a_{vZ}}^{2}*{k_{Z}}^{2}}</math> 
With <math>k_{X,Y,Z}</math> a factor defined in the ISO 2631 as <math>k_{X}=k_{Y}=1.4</math> and <math>k_{Z}=1</math>
 
======Ah======
The <math>A_h</math> is the RMS of the <math>W_h</math> weighted acceleration signal for hand-arms vibration measurement. For each channel, the <math>A_h</math> and <math>A_h(T)</math> will be calculated. The <math>A_h(T)</math> is the Daily exposure value, defined as : 

<math display="block" forcemathmode="5">A_h(T) = A_h*\sqrt{\frac{T}{T_m}}</math> 

With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter. 

If any sensor is defined, the total <math>A_h</math> and <math>A_h(T)</math> will be calculated for each sensor as a quadratic average of the three direction of the sensor : 
<math display="block" forcemathmode="5">A_{h Total} = \sqrt{{a_{hX}}^{2}*{k_{X}}^{2} + {a_{hY}}^{2}*{k_{Y}}^{2} + {a_{hZ}}^{2}*{k_{Z}}^{2}}</math>
 
and : 
 
<math display="block" forcemathmode="5">A_{h Total}(T) = \sqrt{{a_{hX}}^{2}*{k_{X}}^{2} + {a_{hY}}^{2}*{k_{Y}}^{2} + {a_{hZ}}^{2}*{k_{Z}}^{2}}*\sqrt{\frac{T}{T_m}}</math>
 
With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter, and <math>k_{X}=k_{Y}=k_{Z}=1</math>
 

======Peak======

This indicator is the [[NVGate_Time_Domain_Analysis#Available_results|peak amplitude]] of the vibration signal. It represent the maximal amplitude of the weighted signal. This indicator can be obtained in NVGate by [[NVGate Post Analysis|post-analysing]] the weighted signal with the [[NVGate Time Domain Analysis|TDA plugin of NVGate]].

======MTVV======
The MTVV is the Maximal Transient Vibration Value, is the maximum of the running RMS of the weighted acceleration. This value is calculated for each channel and is expressed in m/s².

The MTVV Tau is the integration time, expressed in seconds. This value can be edited before the calculation, but the ISO 2631 recommand to use 1 second. Therefore this is the default value of this parameter.

======VDV======
The VDV is the forth power Vibration Dose Value. It is calculated as a cumulative sum of the weighted acceleration at the forth power. The forth power is used to give more weight to the transient event of the signal over the periodic event. Therefore, this indicator must be used to asses the effect of shock on human health and comfort. The VDV is calculated for each channel and expressed in m/s^(1.75). 

If the "VDVTexp" box is checked, an evaluation of the VDV value over a longer time period will be calculated of each channel as : 
<math display="block" forcemathmode="5">VDV_{X,Y,Z}(T) = VDV_{X,Y,Z}*k_{X,Y,Z}*\sqrt[4]{\frac{T}{T_m}}</math> 

With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter, and <math>k_{X}=k_{Y}=1.4</math>, and <math>k_{Z}=1</math>
======MSDV======
This metric is the Motion Sickness Dose Value, used to evaluate the ride comfort in in-vehicle measurement. It is expressed in m.s^(1.5). 

Although this value will be calculated for each direction, only the Z-direction will have a prominent relevance to assess ride comfort.
======Dk======
<math>D_k</math> is the acceleration dose. It is use to evaluate the effect of vibrations on the human spine, and calculated as the 6th root of the sum of the peaks in the acceleration signal raised at the 6th power. it is expressed in m/s². Peaks are defined as the absolute maximum of the acceleration signal between two zeros crossing. In the Z direction, only the positive peak will be considered, were all positive and negative peaks are used for the X and Y directions. 

Specific filters are used to weight the acceleration signal before calculating the <math>D_k</math>. These filter are different for the vertical and horizontal direction, and are defined for a sampling rate of 160 Sample/second. Therefore, we advise to [[NVGate Recorder|record]] the signal with a low [[NVGate_Front_End#Input_settings|sampling rate]] in NVGate. 

Assessing the affect of the vibration on human spine most is important when dealing with transportation vehicular, especially from driver seat. for a better evaluation, the ISO 2631-5 advise to calculate the daily acceleration dose, defined as : 

<math display="block" forcemathmode="5">D_{X,Y,Z}(T) = D_{X,Y,Z}*\sqrt[6]{\frac{T}{T_m}}</math> 

This value will be calculated if the box "Dk Texp" is checked.

======Se======
The Se is the compressive stress on the human spine, expressed in MPa. It is calculated by the combination the Dk in the three direction. Therefore, it will only be calculated if sensors are defined in the "Select Direction" window. One value of Se will be calculated for each sensor by the formula : 
<math display="block" forcemathmode="5">Se = \sqrt[6]{\sum_{k=X,Y,Z}(D_{k}*m_{k})^6}</math> 

Where <math>m_{X} = 0,015</math> MPa/(m/s²), <math>m_{Y} = 0,035</math> MPa/(m/s²) and <math>m_{Z} = 0,032</math> MPa/(m/s²). 

To evaluate the lumbar stress over a daily exposition time, the Se(T) will also be calculated as : 
<math display="block" forcemathmode="5">Se(T) = \sqrt[6]{\sum_{k=X,Y,Z}(D_{k}(T)*m_{k})^6}</math> 

T being the total exposure duration represented by the "Reference time" parameter. 

====In the toolkit====
Before calculating the indicators in the toolkit, you must define a filter for each directions. Filters will be selected in accordance with the wanted result (Hand-arms; Whole-Body, ..) and the direction of the measurement as specified in the table [[Human_Vibration#Time-weighting_filters|describing the filters]]. Filters will be applied to the signal before calculating the indicators, but the time-filtered signal will not be saved. 
[[Image:Processing_Filter.png]]

You will then need to select the indicators to be calculated bi ticking the boxes. 
[[Image:Selected_Processing.png]]

The MTVV Tau is the integration time in seconds used for the calculation of the MTVV. The ISO 2651 recommand to use 1sec. This is the default value of the setting. 

You can then start the processing to calculate the indicators.

Once completed, the result can be find the currently opened project in the [[NVGate Project manager]]. A new measurement called "NAME_OF_THE_Signal_out" containing the result is created. As many measurement folder as selected signal will be created during the processing. 
[[Image:Project_Manager_results.png]]

Each indicator is calculated for each direction and for each track of the signal. The name of the result contain the name of the track, the considered direction and the filter used for that direction (except for the <math>D_k</math> which use specific filters). The following picture show the indicators for the first track (SeatPadX) of the signal : 
[[Image:Result_for_track.png]]

Here this track represent the X direction. We can remove the results in irrelevant directions (Y and Z) for this track by a right click, and repeat this operation for each channel : 

/Insert image of the result with only relevant direction when bug solve/

You can then display the result in NVGate by double clicking.

==Calculating the other indicators with NVGate==
===<math>A_w</math>===
<math>A_w</math> is the daily vibration dose. It is calculated from an average of the RMS values form the weighted signal and represent the "quantity" of vibration the human body will receive when using of the tested equipment.

This value is defined as : <math>A_w = \sqrt{(k_{x}*a_{w_{x}})^2+(k_{y}*a_{w_{y}})^2+(k_{z}*a_{w_{z}})^2}</math>, with <math>k_i</math> defined in the standard and <math>a_{w_{x}}</math> the RMS value of the weighted acceleration signal in accordance to the direction, as defined in the [[Human_Vibration#Time-weighting_filters|table of the precedent section]]. 

====Calculation in NVGate====

To calculate the <math>A_w</math> in NVGate, calculmate the [[NVGate Time Domain Analysis#RMS|RMS level]] of the weighted signal in [[NVGate_Post_Analysis|Post analysis]]. Here, we will calculate the <math>A_w</math> for the SeatPad measurement as defined for a whole-body measurement in the ISO 2651. According to the [Human_Vibration#Time-weighting_filters|table]], we need to calculate the RMS level of the <math>W_k</math> weighted signal for the Z direction and the <math>W_d</math> weighted signal for the X and Y directions. You then must [[NVGate Display|display]] the three RMS level in the same window : 

[[Image:RMS.png|500px]]

===Ah and Ah(8)===
===VDV Texp===

==Practical information about measurements==

Durée de mesure
Type de mesure
Placement des capteurs
Exemple de capteur : [[https://www.dytran.com/Search/?searchText=seat+pad|Seat Pad accelerometer]]
Capteur avec adaptateurs hand arms

Human Vibration

2020-12-02T17:19:25Z

NIcolasAegerter: /* Se */

The OROS Body Vibration tool allow you to evaluate the affect of vibration on the human body according to standards ISO 2651 and ISO 5349. These standard define measurement practice and vibration signal analysis to evaluate the affect on health and and comfort of environmental and equipment vibrations on the Human body. 

The ISO 2651 describe the affect on health and comfort of vibration on the whole-body in transportation system, and the ISO 5349 the affect on health of vibration on hands and arms when manipulating machine-tools or vibrating objects. In the following, we will see how to use OROS to evaluate these effect. 
 
This is a post analysis toolkit, operating alongside NVGate after the recording of the signal and will help you to calculate time-weighted signal of acceleration and specific indicators both defined in the standards. 
[[Image:OROS_BodyVib2.png|800px|none]]
 
==Download & install==
Download the program here (version from 16/11/2020) :
https://orossas.sharepoint.com/:u:/g/support/ERx7p7QyS3tFvwhLyzDk-I8BhYdZULbj1WYLRA4xHJGc7A?e=sdgiBS

Once downloaded, you can unzip the folder and lunch the installer program Setup_OROS_BodyVibration_Tool_vXX.exe. Follow the step of the program to properly install the software. 

The program will be installed in "C:\OROS\Programs\ExternalTools". Shortcuts are created on the main desktop, in the Windows Start program and in the "Link" repertory of NVGate. By that way you can directly run the program from NVGate.

==How to use==

<ol>
<li>Launch NVGate </li>
<li>Launch OROS_BodyVibration_Tool.exe </li>
<li>Open a project in NVGate </li>

[[File:Open_Proj.png]]
 
<li>In the tool, Click on list measurement to list all the measurement present in the project (only the measurement where the signal files are actually on the disk will be displayed. Ensure you have [[NVGate_Project_manager#Uploading.2FDownloading|downloaded signal from the OR3X disk]]) </li>
[[Image:List_Meas.png|400px|none]]
<li>Add the measurement you want to analyse in the "selected list" area using the ">>" button. Use the "<<" button to remove file if needed. </li>
[[Image:Add_Rmv.png|400px|none]]
<li>Click on "Select Directions" to set the direction and sensor for each channel (This step is not necessary if you only want the time-weighted signals). </li>
[[Image:Select_DOF.png|400px|none]]
<li>Select the weighting you want to apply on the time signal </li>
[[Image:Select_Filter.png|400px|none]]
<li>Select the weighting you want to apply for each direction X, Y and Z used for the indicators </li>
[[Image:Select_Process_Filt.png|400px|none]]
<li>Select the metrics you want to calculate </li>
[[Image:Select_Metric.png|400px|none]]
<li>Click on "Start Processing" </li>
[[Image:Strat_Proc.png|400px|none]]
<li>The processing is completed when a the following pop-up window appear. The results and weighted signal have added to the current NVGate project. See the next sections for details. </li>
[[Image:The_End.png|400px|none]]
</ol>

==Toolkit results==
===Time-weighted signal===
Studies of the affect of vibrations on the human body suggest that part of the body don't have the same response to vibrations, and will be sensitive to specific frequencies and transient component of vibration signal. In order to represent the sensitivity of the human boy, ISO standards defined time-weighting that must applied to the signal according to the environmental conditions. The following part present you how to apply time-weighting filters to your signal using the toolkit.
====Time-weighting filters====
As defined in the standards, specific time weighting must be applied to the acceleration signal in order to represent the effect of vibrations on health and comfort. Here is the list of the different time-weighting filters implemented in the toolkit : 
{| class="wikitable" style="margin: auto;"
|+style="caption-side:bottom;"|''Time-weighting filters''
|-
|style="height:30px; width:100px;"|<math>W_k</math>
|Time weighting for the Z axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_d</math>
|Time weighting for the X and Y axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_h</math>
|Time weighting for the hand-arms measurement in any direction (ISO 5349-1)
|-
|style="height:30px; width:100px;"|<math>W_f</math>
|Time weighting for motion sickness measurement in the vertical direction (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_c</math>
|Time weighting for the X axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_e</math>
|Time weighting for all rotational directions for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_j</math>
|Time weighting for the Z axis for head comfort measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_m</math>
|Time weighting for all directions for building's vibration comfort measurement (ISO 2651-2)
|}

Filters have been validated from 0.5 to 10kHz at 25.6kSample/second.

====Usage in the toolkit====
The toolkit allow you to calculate the filtered raw signal with any of the above weighting filters. This will allow you to display [[NVGate FFT Analyzer|spectrums]] and calculate RMS via [[NVGate_Post_Analysis|post-analysis]] in NVGate.

To calculate the raw weighted signal, simply select the filters you want in the "Time signal filters" section :

[[Image:Filter2.png]]

Once the processing is completed, a new measurement containing the filtered signal for each selected filter is created in [[NVGate Project manager|NVGate Project Manager]] :

[[Image:Filtered_Sig.png|400px]]
 
You can then load the new signals in the player as any NVGate signal. Each track of the signal is filtered with the corresponding filter. 

[[Image:Sig_In_ Player.png|800px]]

===Health and comfort indicator===
In addition to the time-weighting filters, the ISO standards present a series of specific metrics to evaluate the affect of vibrations on the Human body. The following section will present you how to use the toolkit to access these metrics.
====Indicators====

{| class="wikitable" style="margin: auto;"
|+style="caption-side:bottom;"|''Body vibration indicators''
|-
|style="height:30px; width:100px;"|<math>A_w</math>
|RMS of the weighted acceleration magnitude.
|-
|style="height:30px; width:100px;"|<math>a_v</math>
|Total RMS value calculated as a quadratic average of the three direction for each tri-axial sensor.
|-
|style="height:30px; width:100px;"|<math>A_h</math>
|RMS of the <math>W_h</math> weighted acceleration magnitude.
|-
|style="height:30px; width:100px;"|<math>Peak</math>
|Amplitude Peak of the vibration; maximal amplitude of the signal from the 0 (Calculated from Post processing in NVGate)
|-
|style="height:30px; width:100px;"|<math>Crest factor</math>
|Ratio between the Peak level and the RMS of the weighted signal(Calculated from Post processing in NVGate)
|-
|style="height:30px; width:100px;"|<math>MTVV</math>
|Maximum Transient Vibration Value, represent the maximal RMS value of the signal
|-
|style="height:30px; width:100px;"|<math>VDV</math>
|Vibration Dose Value, taking into account the temporal shocks in the signal
|-
|style="height:30px; width:100px;"|<math>MSDV</math>
|Motion Sickness Dose Value, representing the comfort in transportation measurement
|-
|style="height:30px; width:100px;"|<math>D_k</math>
|The Acceleration Dose, representing the affect of the vibration on the spine
|-
|style="height:30px; width:100px;"|<math>Se</math>
|The equivalent Static compression stress on the spine, caused by repeated shocks
|}

======Aw======

The <math>A_w</math> is the RMS of the weighted acceleration signal. The weighting is applied in accordance with the direction set for each channel and the weighting filter defined for the direction. 

For each channel, the <math>A_w</math> and <math>A_w(T)</math> will be calculated. The <math>A_w(T)</math> is the Daily exposure value, defined as : 
<math display="block" forcemathmode="5">A_w(T) = A_w*k_{i}*\sqrt{\frac{T}{T_m}}</math>
 
With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter. the <math>k_i</math> factor is defined in the ISO 2631 as <math>k_X = k_Y = 1.4</math> and <math>k_Z = 1</math>.

When comparing result from one measurement point in the three direction, the maximum of the Daily exposure value must be used as the total daily exposure value at that point : 
<math display="block" forcemathmode="5">A_w(T) = max(A_{wX}(T), A_{wY}(T), A_{wZ}(T)) </math>
 
======av======
The <math>a_v</math> is the total RMS vibration value of the weighted acceleration signal. This value will only be calculated if a sensor have been defined in the definition of direction window.

For each tri-axial sensor, the <math>a_v</math> will be calculated as a quadratic average of the weighted RMS value in the three directions : 

<math display="block" forcemathmode="5">a_v = \sqrt{{a_{vX}}^{2}*{k_{X}}^{2} + {a_{vY}}^{2}*{k_{Y}}^{2} + {a_{vZ}}^{2}*{k_{Z}}^{2}}</math> 
With <math>k_{X,Y,Z}</math> a factor defined in the ISO 2631 as <math>k_{X}=k_{Y}=1.4</math> and <math>k_{Z}=1</math>
 
======Ah======
The <math>A_h</math> is the RMS of the <math>W_h</math> weighted acceleration signal for hand-arms vibration measurement. For each channel, the <math>A_h</math> and <math>A_h(T)</math> will be calculated. The <math>A_h(T)</math> is the Daily exposure value, defined as : 

<math display="block" forcemathmode="5">A_h(T) = A_h*\sqrt{\frac{T}{T_m}}</math> 

With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter. 

If any sensor is defined, the total <math>A_h</math> and <math>A_h(T)</math> will be calculated for each sensor as a quadratic average of the three direction of the sensor : 
<math display="block" forcemathmode="5">A_{h Total} = \sqrt{{a_{hX}}^{2}*{k_{X}}^{2} + {a_{hY}}^{2}*{k_{Y}}^{2} + {a_{hZ}}^{2}*{k_{Z}}^{2}}</math>
 
and : 
 
<math display="block" forcemathmode="5">A_{h Total}(T) = \sqrt{{a_{hX}}^{2}*{k_{X}}^{2} + {a_{hY}}^{2}*{k_{Y}}^{2} + {a_{hZ}}^{2}*{k_{Z}}^{2}}*\sqrt{\frac{T}{T_m}}</math>
 
With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter, and <math>k_{X}=k_{Y}=k_{Z}=1</math>
 

======Peak======

This indicator is the [[NVGate_Time_Domain_Analysis#Available_results|peak amplitude]] of the vibration signal. It represent the maximal amplitude of the weighted signal. This indicator can be obtained in NVGate by [[NVGate Post Analysis|post-analysing]] the weighted signal with the [[NVGate Time Domain Analysis|TDA plugin of NVGate]].

======MTVV======
The MTVV is the Maximal Transient Vibration Value, is the maximum of the running RMS of the weighted acceleration. This value is calculated for each channel and is expressed in m/s².

The MTVV Tau is the integration time, expressed in seconds. This value can be edited before the calculation, but the ISO 2631 recommand to use 1 second. Therefore this is the default value of this parameter.

======VDV======
The VDV is the forth power Vibration Dose Value. It is calculated as a cumulative sum of the weighted acceleration at the forth power. The forth power is used to give more weight to the transient event of the signal over the periodic event. Therefore, this indicator must be used to asses the effect of shock on human health and comfort. The VDV is calculated for each channel and expressed in m/s^(1.75). 

If the "VDVTexp" box is checked, an evaluation of the VDV value over a longer time period will be calculated of each channel as : 
<math display="block" forcemathmode="5">VDV_{X,Y,Z}(T) = VDV_{X,Y,Z}*k_{X,Y,Z}*\sqrt[4]{\frac{T}{T_m}}</math> 

With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter, and <math>k_{X}=k_{Y}=1.4</math>, and <math>k_{Z}=1</math>
======MSDV======
This metric is the Motion Sickness Dose Value, used to evaluate the ride comfort in in-vehicle measurement. It is expressed in m.s^(1.5). 

Although this value will be calculated for each direction, only the Z-direction will have a prominent relevance to assess ride comfort.
======Dk======
<math>D_k</math> is the acceleration dose. It is use to evaluate the effect of vibrations on the human spine, and calculated as the 6th root of the sum of the peaks in the acceleration signal raised at the 6th power. it is expressed in m/s². Peaks are defined as the absolute maximum of the acceleration signal between two zeros crossing. In the Z direction, only the positive peak will be considered, were all positive and negative peaks are used for the X and Y directions. 

Specific filters are used to weight the acceleration signal before calculating the <math>D_k</math>. These filter are different for the vertical and horizontal direction, and are defined for a sampling rate of 160 Sample/second. Therefore, we advise to [[NVGate Recorder|record]] the signal with a low [[NVGate_Front_End#Input_settings|sampling rate]] in NVGate. 

Assessing the affect of the vibration on human spine most is important when dealing with transportation vehicular, especially from driver seat. for a better evaluation, the ISO 2631-5 advise to calculate the daily acceleration dose, defined as : 

<math display="block" forcemathmode="5">D_{X,Y,Z}(T) = D_{X,Y,Z}*\sqrt[6]{\frac{T}{T_m}}</math> 

This value will be calculated if the box "Dk Texp" is checked.

======Se======
The Se is the compressive stress on the human spine. It is calculated by the combination the Dk in the three direction. Therefore, it will only be calculated if sensors are defined in the "Select Direction" window. One value of Se will be calculated for each sensor by the formula : 
<math display="block" forcemathmode="5">Se = \sqrt[6]{\sum_{k=X,Y,Z}(D_{k}*m_{k})^6}</math> 

Where <math>m_{X} = 0,015 MPa/(m/s2)</math>, <math>m_{Y} = 0,035 MPa/(m/s2)</math> and <math>m_{Z} = 0,032 MPa/(m/s2)</math>. 

To evaluate the lumbar stress over a daily exposition time, the Se(T) will also be calculated as : 
<math display="block" forcemathmode="5">Se(T) = \sqrt[6]{\sum_{k=X,Y,Z}(D_{k}(T)*m_{k})^6}</math> 

T being the total exposure duration represented by the "Reference time" parameter. 

====In the toolkit====
Before calculating the indicators in the toolkit, you must define a filter for each directions. Filters will be selected in accordance with the wanted result (Hand-arms; Whole-Body, ..) and the direction of the measurement as specified in the table [[Human_Vibration#Time-weighting_filters|describing the filters]]. Filters will be applied to the signal before calculating the indicators, but the time-filtered signal will not be saved. 
[[Image:Processing_Filter.png]]

You will then need to select the indicators to be calculated bi ticking the boxes. 
[[Image:Selected_Processing.png]]

The MTVV Tau is the integration time in seconds used for the calculation of the MTVV. The ISO 2651 recommand to use 1sec. This is the default value of the setting. 

You can then start the processing to calculate the indicators.

Once completed, the result can be find the currently opened project in the [[NVGate Project manager]]. A new measurement called "NAME_OF_THE_Signal_out" containing the result is created. As many measurement folder as selected signal will be created during the processing. 
[[Image:Project_Manager_results.png]]

Each indicator is calculated for each direction and for each track of the signal. The name of the result contain the name of the track, the considered direction and the filter used for that direction (except for the <math>D_k</math> which use specific filters). The following picture show the indicators for the first track (SeatPadX) of the signal : 
[[Image:Result_for_track.png]]

Here this track represent the X direction. We can remove the results in irrelevant directions (Y and Z) for this track by a right click, and repeat this operation for each channel : 

/Insert image of the result with only relevant direction when bug solve/

You can then display the result in NVGate by double clicking.

==Calculating the other indicators with NVGate==
===<math>A_w</math>===
<math>A_w</math> is the daily vibration dose. It is calculated from an average of the RMS values form the weighted signal and represent the "quantity" of vibration the human body will receive when using of the tested equipment.

This value is defined as : <math>A_w = \sqrt{(k_{x}*a_{w_{x}})^2+(k_{y}*a_{w_{y}})^2+(k_{z}*a_{w_{z}})^2}</math>, with <math>k_i</math> defined in the standard and <math>a_{w_{x}}</math> the RMS value of the weighted acceleration signal in accordance to the direction, as defined in the [[Human_Vibration#Time-weighting_filters|table of the precedent section]]. 

====Calculation in NVGate====

To calculate the <math>A_w</math> in NVGate, calculmate the [[NVGate Time Domain Analysis#RMS|RMS level]] of the weighted signal in [[NVGate_Post_Analysis|Post analysis]]. Here, we will calculate the <math>A_w</math> for the SeatPad measurement as defined for a whole-body measurement in the ISO 2651. According to the [Human_Vibration#Time-weighting_filters|table]], we need to calculate the RMS level of the <math>W_k</math> weighted signal for the Z direction and the <math>W_d</math> weighted signal for the X and Y directions. You then must [[NVGate Display|display]] the three RMS level in the same window : 

[[Image:RMS.png|500px]]

===Ah and Ah(8)===
===VDV Texp===

==Practical information about measurements==

Durée de mesure
Type de mesure
Placement des capteurs
Exemple de capteur : [[https://www.dytran.com/Search/?searchText=seat+pad|Seat Pad accelerometer]]
Capteur avec adaptateurs hand arms

Human Vibration

2020-12-02T17:16:56Z

NIcolasAegerter: /* Indicators */

The OROS Body Vibration tool allow you to evaluate the affect of vibration on the human body according to standards ISO 2651 and ISO 5349. These standard define measurement practice and vibration signal analysis to evaluate the affect on health and and comfort of environmental and equipment vibrations on the Human body. 

The ISO 2651 describe the affect on health and comfort of vibration on the whole-body in transportation system, and the ISO 5349 the affect on health of vibration on hands and arms when manipulating machine-tools or vibrating objects. In the following, we will see how to use OROS to evaluate these effect. 
 
This is a post analysis toolkit, operating alongside NVGate after the recording of the signal and will help you to calculate time-weighted signal of acceleration and specific indicators both defined in the standards. 
[[Image:OROS_BodyVib2.png|800px|none]]
 
==Download & install==
Download the program here (version from 16/11/2020) :
https://orossas.sharepoint.com/:u:/g/support/ERx7p7QyS3tFvwhLyzDk-I8BhYdZULbj1WYLRA4xHJGc7A?e=sdgiBS

Once downloaded, you can unzip the folder and lunch the installer program Setup_OROS_BodyVibration_Tool_vXX.exe. Follow the step of the program to properly install the software. 

The program will be installed in "C:\OROS\Programs\ExternalTools". Shortcuts are created on the main desktop, in the Windows Start program and in the "Link" repertory of NVGate. By that way you can directly run the program from NVGate.

==How to use==

<ol>
<li>Launch NVGate </li>
<li>Launch OROS_BodyVibration_Tool.exe </li>
<li>Open a project in NVGate </li>

[[File:Open_Proj.png]]
 
<li>In the tool, Click on list measurement to list all the measurement present in the project (only the measurement where the signal files are actually on the disk will be displayed. Ensure you have [[NVGate_Project_manager#Uploading.2FDownloading|downloaded signal from the OR3X disk]]) </li>
[[Image:List_Meas.png|400px|none]]
<li>Add the measurement you want to analyse in the "selected list" area using the ">>" button. Use the "<<" button to remove file if needed. </li>
[[Image:Add_Rmv.png|400px|none]]
<li>Click on "Select Directions" to set the direction and sensor for each channel (This step is not necessary if you only want the time-weighted signals). </li>
[[Image:Select_DOF.png|400px|none]]
<li>Select the weighting you want to apply on the time signal </li>
[[Image:Select_Filter.png|400px|none]]
<li>Select the weighting you want to apply for each direction X, Y and Z used for the indicators </li>
[[Image:Select_Process_Filt.png|400px|none]]
<li>Select the metrics you want to calculate </li>
[[Image:Select_Metric.png|400px|none]]
<li>Click on "Start Processing" </li>
[[Image:Strat_Proc.png|400px|none]]
<li>The processing is completed when a the following pop-up window appear. The results and weighted signal have added to the current NVGate project. See the next sections for details. </li>
[[Image:The_End.png|400px|none]]
</ol>

==Toolkit results==
===Time-weighted signal===
Studies of the affect of vibrations on the human body suggest that part of the body don't have the same response to vibrations, and will be sensitive to specific frequencies and transient component of vibration signal. In order to represent the sensitivity of the human boy, ISO standards defined time-weighting that must applied to the signal according to the environmental conditions. The following part present you how to apply time-weighting filters to your signal using the toolkit.
====Time-weighting filters====
As defined in the standards, specific time weighting must be applied to the acceleration signal in order to represent the effect of vibrations on health and comfort. Here is the list of the different time-weighting filters implemented in the toolkit : 
{| class="wikitable" style="margin: auto;"
|+style="caption-side:bottom;"|''Time-weighting filters''
|-
|style="height:30px; width:100px;"|<math>W_k</math>
|Time weighting for the Z axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_d</math>
|Time weighting for the X and Y axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_h</math>
|Time weighting for the hand-arms measurement in any direction (ISO 5349-1)
|-
|style="height:30px; width:100px;"|<math>W_f</math>
|Time weighting for motion sickness measurement in the vertical direction (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_c</math>
|Time weighting for the X axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_e</math>
|Time weighting for all rotational directions for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_j</math>
|Time weighting for the Z axis for head comfort measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_m</math>
|Time weighting for all directions for building's vibration comfort measurement (ISO 2651-2)
|}

Filters have been validated from 0.5 to 10kHz at 25.6kSample/second.

====Usage in the toolkit====
The toolkit allow you to calculate the filtered raw signal with any of the above weighting filters. This will allow you to display [[NVGate FFT Analyzer|spectrums]] and calculate RMS via [[NVGate_Post_Analysis|post-analysis]] in NVGate.

To calculate the raw weighted signal, simply select the filters you want in the "Time signal filters" section :

[[Image:Filter2.png]]

Once the processing is completed, a new measurement containing the filtered signal for each selected filter is created in [[NVGate Project manager|NVGate Project Manager]] :

[[Image:Filtered_Sig.png|400px]]
 
You can then load the new signals in the player as any NVGate signal. Each track of the signal is filtered with the corresponding filter. 

[[Image:Sig_In_ Player.png|800px]]

===Health and comfort indicator===
In addition to the time-weighting filters, the ISO standards present a series of specific metrics to evaluate the affect of vibrations on the Human body. The following section will present you how to use the toolkit to access these metrics.
====Indicators====

{| class="wikitable" style="margin: auto;"
|+style="caption-side:bottom;"|''Body vibration indicators''
|-
|style="height:30px; width:100px;"|<math>A_w</math>
|RMS of the weighted acceleration magnitude.
|-
|style="height:30px; width:100px;"|<math>a_v</math>
|Total RMS value calculated as a quadratic average of the three direction for each tri-axial sensor.
|-
|style="height:30px; width:100px;"|<math>A_h</math>
|RMS of the <math>W_h</math> weighted acceleration magnitude.
|-
|style="height:30px; width:100px;"|<math>Peak</math>
|Amplitude Peak of the vibration; maximal amplitude of the signal from the 0 (Calculated from Post processing in NVGate)
|-
|style="height:30px; width:100px;"|<math>Crest factor</math>
|Ratio between the Peak level and the RMS of the weighted signal(Calculated from Post processing in NVGate)
|-
|style="height:30px; width:100px;"|<math>MTVV</math>
|Maximum Transient Vibration Value, represent the maximal RMS value of the signal
|-
|style="height:30px; width:100px;"|<math>VDV</math>
|Vibration Dose Value, taking into account the temporal shocks in the signal
|-
|style="height:30px; width:100px;"|<math>MSDV</math>
|Motion Sickness Dose Value, representing the comfort in transportation measurement
|-
|style="height:30px; width:100px;"|<math>D_k</math>
|The Acceleration Dose, representing the affect of the vibration on the spine
|-
|style="height:30px; width:100px;"|<math>Se</math>
|The equivalent Static compression stress on the spine, caused by repeated shocks
|}

======Aw======

The <math>A_w</math> is the RMS of the weighted acceleration signal. The weighting is applied in accordance with the direction set for each channel and the weighting filter defined for the direction. 

For each channel, the <math>A_w</math> and <math>A_w(T)</math> will be calculated. The <math>A_w(T)</math> is the Daily exposure value, defined as : 
<math display="block" forcemathmode="5">A_w(T) = A_w*k_{i}*\sqrt{\frac{T}{T_m}}</math>
 
With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter. the <math>k_i</math> factor is defined in the ISO 2631 as <math>k_X = k_Y = 1.4</math> and <math>k_Z = 1</math>.

When comparing result from one measurement point in the three direction, the maximum of the Daily exposure value must be used as the total daily exposure value at that point : 
<math display="block" forcemathmode="5">A_w(T) = max(A_{wX}(T), A_{wY}(T), A_{wZ}(T)) </math>
 
======av======
The <math>a_v</math> is the total RMS vibration value of the weighted acceleration signal. This value will only be calculated if a sensor have been defined in the definition of direction window.

For each tri-axial sensor, the <math>a_v</math> will be calculated as a quadratic average of the weighted RMS value in the three directions : 

<math display="block" forcemathmode="5">a_v = \sqrt{{a_{vX}}^{2}*{k_{X}}^{2} + {a_{vY}}^{2}*{k_{Y}}^{2} + {a_{vZ}}^{2}*{k_{Z}}^{2}}</math> 
With <math>k_{X,Y,Z}</math> a factor defined in the ISO 2631 as <math>k_{X}=k_{Y}=1.4</math> and <math>k_{Z}=1</math>
 
======Ah======
The <math>A_h</math> is the RMS of the <math>W_h</math> weighted acceleration signal for hand-arms vibration measurement. For each channel, the <math>A_h</math> and <math>A_h(T)</math> will be calculated. The <math>A_h(T)</math> is the Daily exposure value, defined as : 

<math display="block" forcemathmode="5">A_h(T) = A_h*\sqrt{\frac{T}{T_m}}</math> 

With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter. 

If any sensor is defined, the total <math>A_h</math> and <math>A_h(T)</math> will be calculated for each sensor as a quadratic average of the three direction of the sensor : 
<math display="block" forcemathmode="5">A_{h Total} = \sqrt{{a_{hX}}^{2}*{k_{X}}^{2} + {a_{hY}}^{2}*{k_{Y}}^{2} + {a_{hZ}}^{2}*{k_{Z}}^{2}}</math>
 
and : 
 
<math display="block" forcemathmode="5">A_{h Total}(T) = \sqrt{{a_{hX}}^{2}*{k_{X}}^{2} + {a_{hY}}^{2}*{k_{Y}}^{2} + {a_{hZ}}^{2}*{k_{Z}}^{2}}*\sqrt{\frac{T}{T_m}}</math>
 
With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter, and <math>k_{X}=k_{Y}=k_{Z}=1</math>
 

======Peak======

This indicator is the [[NVGate_Time_Domain_Analysis#Available_results|peak amplitude]] of the vibration signal. It represent the maximal amplitude of the weighted signal. This indicator can be obtained in NVGate by [[NVGate Post Analysis|post-analysing]] the weighted signal with the [[NVGate Time Domain Analysis|TDA plugin of NVGate]].

======MTVV======
The MTVV is the Maximal Transient Vibration Value, is the maximum of the running RMS of the weighted acceleration. This value is calculated for each channel and is expressed in m/s².

The MTVV Tau is the integration time, expressed in seconds. This value can be edited before the calculation, but the ISO 2631 recommand to use 1 second. Therefore this is the default value of this parameter.

======VDV======
The VDV is the forth power Vibration Dose Value. It is calculated as a cumulative sum of the weighted acceleration at the forth power. The forth power is used to give more weight to the transient event of the signal over the periodic event. Therefore, this indicator must be used to asses the effect of shock on human health and comfort. The VDV is calculated for each channel and expressed in m/s^(1.75). 

If the "VDVTexp" box is checked, an evaluation of the VDV value over a longer time period will be calculated of each channel as : 
<math display="block" forcemathmode="5">VDV_{X,Y,Z}(T) = VDV_{X,Y,Z}*k_{X,Y,Z}*\sqrt[4]{\frac{T}{T_m}}</math> 

With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter, and <math>k_{X}=k_{Y}=1.4</math>, and <math>k_{Z}=1</math>
======MSDV======
This metric is the Motion Sickness Dose Value, used to evaluate the ride comfort in in-vehicle measurement. It is expressed in m.s^(1.5). 

Although this value will be calculated for each direction, only the Z-direction will have a prominent relevance to assess ride comfort.
======Dk======
<math>D_k</math> is the acceleration dose. It is use to evaluate the effect of vibrations on the human spine, and calculated as the 6th root of the sum of the peaks in the acceleration signal raised at the 6th power. it is expressed in m/s². Peaks are defined as the absolute maximum of the acceleration signal between two zeros crossing. In the Z direction, only the positive peak will be considered, were all positive and negative peaks are used for the X and Y directions. 

Specific filters are used to weight the acceleration signal before calculating the <math>D_k</math>. These filter are different for the vertical and horizontal direction, and are defined for a sampling rate of 160 Sample/second. Therefore, we advise to [[NVGate Recorder|record]] the signal with a low [[NVGate_Front_End#Input_settings|sampling rate]] in NVGate. 

Assessing the affect of the vibration on human spine most is important when dealing with transportation vehicular, especially from driver seat. for a better evaluation, the ISO 2631-5 advise to calculate the daily acceleration dose, defined as : 

<math display="block" forcemathmode="5">D_{X,Y,Z}(T) = D_{X,Y,Z}*\sqrt[6]{\frac{T}{T_m}}</math> 

This value will be calculated if the box "Dk Texp" is checked.

======Se======
The Se is the compressive stress on the human spine. It is calculated by the combination the Dk in the three direction. Therefore, it will only be calculated if sensors are defined in the "Select Direction" window. One value of Se will be calculated for each sensor by the formula : 
<math display="block" forcemathmode="5">Se = \sqrt[6]{\sum_{k=X,Y,Z}{(D_{k}*m_{k})^6}</math> 

Where <math>m_{X} = 0,015 MPa/(m/s2)</math>, <math>m_{Y} = 0,035 MPa/(m/s2)</math> and <math>m_{Z} = 0,032 MPa/(m/s2)</math>. 

To evaluate the limbar stress over a whole exposition time, the Se(T) will also be calculated as : 
<math display="block" forcemathmode="5">Se(T) = \sqrt[6]{\sum_{k=X,Y,Z}{(D_{k}(T)*m_{k})^6}</math> 

T beeing the total exposure duration represented by the "Reference time" parameter. 

====In the toolkit====
Before calculating the indicators in the toolkit, you must define a filter for each directions. Filters will be selected in accordance with the wanted result (Hand-arms; Whole-Body, ..) and the direction of the measurement as specified in the table [[Human_Vibration#Time-weighting_filters|describing the filters]]. Filters will be applied to the signal before calculating the indicators, but the time-filtered signal will not be saved. 
[[Image:Processing_Filter.png]]

You will then need to select the indicators to be calculated bi ticking the boxes. 
[[Image:Selected_Processing.png]]

The MTVV Tau is the integration time in seconds used for the calculation of the MTVV. The ISO 2651 recommand to use 1sec. This is the default value of the setting. 

You can then start the processing to calculate the indicators.

Once completed, the result can be find the currently opened project in the [[NVGate Project manager]]. A new measurement called "NAME_OF_THE_Signal_out" containing the result is created. As many measurement folder as selected signal will be created during the processing. 
[[Image:Project_Manager_results.png]]

Each indicator is calculated for each direction and for each track of the signal. The name of the result contain the name of the track, the considered direction and the filter used for that direction (except for the <math>D_k</math> which use specific filters). The following picture show the indicators for the first track (SeatPadX) of the signal : 
[[Image:Result_for_track.png]]

Here this track represent the X direction. We can remove the results in irrelevant directions (Y and Z) for this track by a right click, and repeat this operation for each channel : 

/Insert image of the result with only relevant direction when bug solve/

You can then display the result in NVGate by double clicking.

==Calculating the other indicators with NVGate==
===<math>A_w</math>===
<math>A_w</math> is the daily vibration dose. It is calculated from an average of the RMS values form the weighted signal and represent the "quantity" of vibration the human body will receive when using of the tested equipment.

This value is defined as : <math>A_w = \sqrt{(k_{x}*a_{w_{x}})^2+(k_{y}*a_{w_{y}})^2+(k_{z}*a_{w_{z}})^2}</math>, with <math>k_i</math> defined in the standard and <math>a_{w_{x}}</math> the RMS value of the weighted acceleration signal in accordance to the direction, as defined in the [[Human_Vibration#Time-weighting_filters|table of the precedent section]]. 

====Calculation in NVGate====

To calculate the <math>A_w</math> in NVGate, calculmate the [[NVGate Time Domain Analysis#RMS|RMS level]] of the weighted signal in [[NVGate_Post_Analysis|Post analysis]]. Here, we will calculate the <math>A_w</math> for the SeatPad measurement as defined for a whole-body measurement in the ISO 2651. According to the [Human_Vibration#Time-weighting_filters|table]], we need to calculate the RMS level of the <math>W_k</math> weighted signal for the Z direction and the <math>W_d</math> weighted signal for the X and Y directions. You then must [[NVGate Display|display]] the three RMS level in the same window : 

[[Image:RMS.png|500px]]

===Ah and Ah(8)===
===VDV Texp===

==Practical information about measurements==

Durée de mesure
Type de mesure
Placement des capteurs
Exemple de capteur : [[https://www.dytran.com/Search/?searchText=seat+pad|Seat Pad accelerometer]]
Capteur avec adaptateurs hand arms

Human Vibration

2020-12-02T16:43:04Z

NIcolasAegerter: /* Dk */

The OROS Body Vibration tool allow you to evaluate the affect of vibration on the human body according to standards ISO 2651 and ISO 5349. These standard define measurement practice and vibration signal analysis to evaluate the affect on health and and comfort of environmental and equipment vibrations on the Human body. 

The ISO 2651 describe the affect on health and comfort of vibration on the whole-body in transportation system, and the ISO 5349 the affect on health of vibration on hands and arms when manipulating machine-tools or vibrating objects. In the following, we will see how to use OROS to evaluate these effect. 
 
This is a post analysis toolkit, operating alongside NVGate after the recording of the signal and will help you to calculate time-weighted signal of acceleration and specific indicators both defined in the standards. 
[[Image:OROS_BodyVib2.png|800px|none]]
 
==Download & install==
Download the program here (version from 16/11/2020) :
https://orossas.sharepoint.com/:u:/g/support/ERx7p7QyS3tFvwhLyzDk-I8BhYdZULbj1WYLRA4xHJGc7A?e=sdgiBS

Once downloaded, you can unzip the folder and lunch the installer program Setup_OROS_BodyVibration_Tool_vXX.exe. Follow the step of the program to properly install the software. 

The program will be installed in "C:\OROS\Programs\ExternalTools". Shortcuts are created on the main desktop, in the Windows Start program and in the "Link" repertory of NVGate. By that way you can directly run the program from NVGate.

==How to use==

<ol>
<li>Launch NVGate </li>
<li>Launch OROS_BodyVibration_Tool.exe </li>
<li>Open a project in NVGate </li>

[[File:Open_Proj.png]]
 
<li>In the tool, Click on list measurement to list all the measurement present in the project (only the measurement where the signal files are actually on the disk will be displayed. Ensure you have [[NVGate_Project_manager#Uploading.2FDownloading|downloaded signal from the OR3X disk]]) </li>
[[Image:List_Meas.png|400px|none]]
<li>Add the measurement you want to analyse in the "selected list" area using the ">>" button. Use the "<<" button to remove file if needed. </li>
[[Image:Add_Rmv.png|400px|none]]
<li>Click on "Select Directions" to set the direction and sensor for each channel (This step is not necessary if you only want the time-weighted signals). </li>
[[Image:Select_DOF.png|400px|none]]
<li>Select the weighting you want to apply on the time signal </li>
[[Image:Select_Filter.png|400px|none]]
<li>Select the weighting you want to apply for each direction X, Y and Z used for the indicators </li>
[[Image:Select_Process_Filt.png|400px|none]]
<li>Select the metrics you want to calculate </li>
[[Image:Select_Metric.png|400px|none]]
<li>Click on "Start Processing" </li>
[[Image:Strat_Proc.png|400px|none]]
<li>The processing is completed when a the following pop-up window appear. The results and weighted signal have added to the current NVGate project. See the next sections for details. </li>
[[Image:The_End.png|400px|none]]
</ol>

==Toolkit results==
===Time-weighted signal===
Studies of the affect of vibrations on the human body suggest that part of the body don't have the same response to vibrations, and will be sensitive to specific frequencies and transient component of vibration signal. In order to represent the sensitivity of the human boy, ISO standards defined time-weighting that must applied to the signal according to the environmental conditions. The following part present you how to apply time-weighting filters to your signal using the toolkit.
====Time-weighting filters====
As defined in the standards, specific time weighting must be applied to the acceleration signal in order to represent the effect of vibrations on health and comfort. Here is the list of the different time-weighting filters implemented in the toolkit : 
{| class="wikitable" style="margin: auto;"
|+style="caption-side:bottom;"|''Time-weighting filters''
|-
|style="height:30px; width:100px;"|<math>W_k</math>
|Time weighting for the Z axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_d</math>
|Time weighting for the X and Y axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_h</math>
|Time weighting for the hand-arms measurement in any direction (ISO 5349-1)
|-
|style="height:30px; width:100px;"|<math>W_f</math>
|Time weighting for motion sickness measurement in the vertical direction (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_c</math>
|Time weighting for the X axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_e</math>
|Time weighting for all rotational directions for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_j</math>
|Time weighting for the Z axis for head comfort measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_m</math>
|Time weighting for all directions for building's vibration comfort measurement (ISO 2651-2)
|}

Filters have been validated from 0.5 to 10kHz at 25.6kSample/second.

====Usage in the toolkit====
The toolkit allow you to calculate the filtered raw signal with any of the above weighting filters. This will allow you to display [[NVGate FFT Analyzer|spectrums]] and calculate RMS via [[NVGate_Post_Analysis|post-analysis]] in NVGate.

To calculate the raw weighted signal, simply select the filters you want in the "Time signal filters" section :

[[Image:Filter2.png]]

Once the processing is completed, a new measurement containing the filtered signal for each selected filter is created in [[NVGate Project manager|NVGate Project Manager]] :

[[Image:Filtered_Sig.png|400px]]
 
You can then load the new signals in the player as any NVGate signal. Each track of the signal is filtered with the corresponding filter. 

[[Image:Sig_In_ Player.png|800px]]

===Health and comfort indicator===
In addition to the time-weighting filters, the ISO standards present a series of specific metrics to evaluate the affect of vibrations on the Human body. The following section will present you how to use the toolkit to access these metrics.
====Indicators====

{| class="wikitable" style="margin: auto;"
|+style="caption-side:bottom;"|''Body vibration indicators''
|-
|style="height:30px; width:100px;"|<math>A_w</math>
|RMS of the weighted acceleration magnitude.
|-
|style="height:30px; width:100px;"|<math>a_v</math>
|Total RMS value calculated as a quadratic average of the three direction for each tri-axial sensor.
|-
|style="height:30px; width:100px;"|<math>A_h</math>
|RMS of the <math>W_h</math> weighted acceleration magnitude.
|-
|style="height:30px; width:100px;"|<math>Peak</math>
|Amplitude Peak of the vibration; maximal amplitude of the signal from the 0 (Calculated from Post processing in NVGate)
|-
|style="height:30px; width:100px;"|<math>Crest factor</math>
|Ratio between the Peak level and the RMS of the weighted signal(Calculated from Post processing in NVGate)
|-
|style="height:30px; width:100px;"|<math>MTVV</math>
|Maximum Transient Vibration Value, represent the maximal RMS value of the signal
|-
|style="height:30px; width:100px;"|<math>VDV</math>
|Vibration Dose Value, taking into account the temporal shocks in the signal
|-
|style="height:30px; width:100px;"|<math>MSDV</math>
|Motion Sickness Dose Value, representing the comfort in transportation measurement
|-
|style="height:30px; width:100px;"|<math>D_k</math>
|The Acceleration Dose, representing the affect of the vibration on the spine
|-
|style="height:30px; width:100px;"|<math>Se</math>
|The equivalent Static compression stress on the spine, caused by repeated shocks
|}

======Aw======

The <math>A_w</math> is the RMS of the weighted acceleration signal. The weighting is applied in accordance with the direction set for each channel and the weighting filter defined for the direction. 

For each channel, the <math>A_w</math> and <math>A_w(T)</math> will be calculated. The <math>A_w(T)</math> is the Daily exposure value, defined as : 
<math display="block" forcemathmode="5">A_w(T) = A_w*k_{i}*\sqrt{\frac{T}{T_m}}</math>
 
With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter. the <math>k_i</math> factor is defined in the ISO 2631 as <math>k_X = k_Y = 1.4</math> and <math>k_Z = 1</math>.

When comparing result from one measurement point in the three direction, the maximum of the Daily exposure value must be used as the total daily exposure value at that point : 
<math display="block" forcemathmode="5">A_w(T) = max(A_{wX}(T), A_{wY}(T), A_{wZ}(T)) </math>
 
======av======
The <math>a_v</math> is the total RMS vibration value of the weighted acceleration signal. This value will only be calculated if a sensor have been defined in the definition of direction window.

For each tri-axial sensor, the <math>a_v</math> will be calculated as a quadratic average of the weighted RMS value in the three directions : 

<math display="block" forcemathmode="5">a_v = \sqrt{{a_{vX}}^{2}*{k_{X}}^{2} + {a_{vY}}^{2}*{k_{Y}}^{2} + {a_{vZ}}^{2}*{k_{Z}}^{2}}</math> 
With <math>k_{X,Y,Z}</math> a factor defined in the ISO 2631 as <math>k_{X}=k_{Y}=1.4</math> and <math>k_{Z}=1</math>
 
======Ah======
The <math>A_h</math> is the RMS of the <math>W_h</math> weighted acceleration signal for hand-arms vibration measurement. For each channel, the <math>A_h</math> and <math>A_h(T)</math> will be calculated. The <math>A_h(T)</math> is the Daily exposure value, defined as : 

<math display="block" forcemathmode="5">A_h(T) = A_h*\sqrt{\frac{T}{T_m}}</math> 

With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter. 

If any sensor is defined, the total <math>A_h</math> and <math>A_h(T)</math> will be calculated for each sensor as a quadratic average of the three direction of the sensor : 
<math display="block" forcemathmode="5">A_{h Total} = \sqrt{{a_{hX}}^{2}*{k_{X}}^{2} + {a_{hY}}^{2}*{k_{Y}}^{2} + {a_{hZ}}^{2}*{k_{Z}}^{2}}</math>
 
and : 
 
<math display="block" forcemathmode="5">A_{h Total}(T) = \sqrt{{a_{hX}}^{2}*{k_{X}}^{2} + {a_{hY}}^{2}*{k_{Y}}^{2} + {a_{hZ}}^{2}*{k_{Z}}^{2}}*\sqrt{\frac{T}{T_m}}</math>
 
With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter, and <math>k_{X}=k_{Y}=k_{Z}=1</math>
 

======Peak======

This indicator is the [[NVGate_Time_Domain_Analysis#Available_results|peak amplitude]] of the vibration signal. It represent the maximal amplitude of the weighted signal. This indicator can be obtained in NVGate by [[NVGate Post Analysis|post-analysing]] the weighted signal with the [[NVGate Time Domain Analysis|TDA plugin of NVGate]].

======MTVV======
The MTVV is the Maximal Transient Vibration Value, is the maximum of the running RMS of the weighted acceleration. This value is calculated for each channel and is expressed in m/s².

The MTVV Tau is the integration time, expressed in seconds. This value can be edited before the calculation, but the ISO 2631 recommand to use 1 second. Therefore this is the default value of this parameter.

======VDV======
The VDV is the forth power Vibration Dose Value. It is calculated as a cumulative sum of the weighted acceleration at the forth power. The forth power is used to give more weight to the transient event of the signal over the periodic event. Therefore, this indicator must be used to asses the effect of shock on human health and comfort. The VDV is calculated for each channel and expressed in m/s^(1.75). 

If the "VDVTexp" box is checked, an evaluation of the VDV value over a longer time period will be calculated of each channel as : 
<math display="block" forcemathmode="5">VDV_{X,Y,Z}(T) = VDV_{X,Y,Z}*k_{X,Y,Z}*\sqrt[4]{\frac{T}{T_m}}</math> 

With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter, and <math>k_{X}=k_{Y}=1.4</math>, and <math>k_{Z}=1</math>
======MSDV======
This metric is the Motion Sickness Dose Value, used to evaluate the ride comfort in in-vehicle measurement. It is expressed in m.s^(1.5). 

Although this value will be calculated for each direction, only the Z-direction will have a prominent relevance to assess ride comfort.
======Dk======
<math>D_k</math> is the acceleration dose. It is use to evaluate the effect of vibrations on the human spine, and calculated as the 6th root of the sum of the peaks in the acceleration signal raised at the 6th power. it is expressed in m/s². Peaks are defined as the absolute maximum of the acceleration signal between two zeros crossing. In the Z direction, only the positive peak will be considered, were all positive and negative peaks are used for the X and Y directions. 

Specific filters are used to weight the acceleration signal before calculating the <math>D_k</math>. These filter are different for the vertical and horizontal direction, and are defined for a sampling rate of 160 Sample/second. Therefore, we advise to [[NVGate Recorder|record]] the signal with a low [[NVGate_Front_End#Input_settings|sampling rate]] in NVGate. 

Assessing the affect of the vibration on human spine most is important when dealing with transportation vehicular, especially from driver seat. for a better evaluation, the ISO 2631-5 advise to calculate the daily acceleration dose, defined as : 

======Se======

====In the toolkit====
Before calculating the indicators in the toolkit, you must define a filter for each directions. Filters will be selected in accordance with the wanted result (Hand-arms; Whole-Body, ..) and the direction of the measurement as specified in the table [[Human_Vibration#Time-weighting_filters|describing the filters]]. Filters will be applied to the signal before calculating the indicators, but the time-filtered signal will not be saved. 
[[Image:Processing_Filter.png]]

You will then need to select the indicators to be calculated bi ticking the boxes. 
[[Image:Selected_Processing.png]]

The MTVV Tau is the integration time in seconds used for the calculation of the MTVV. The ISO 2651 recommand to use 1sec. This is the default value of the setting. 

You can then start the processing to calculate the indicators.

Once completed, the result can be find the currently opened project in the [[NVGate Project manager]]. A new measurement called "NAME_OF_THE_Signal_out" containing the result is created. As many measurement folder as selected signal will be created during the processing. 
[[Image:Project_Manager_results.png]]

Each indicator is calculated for each direction and for each track of the signal. The name of the result contain the name of the track, the considered direction and the filter used for that direction (except for the <math>D_k</math> which use specific filters). The following picture show the indicators for the first track (SeatPadX) of the signal : 
[[Image:Result_for_track.png]]

Here this track represent the X direction. We can remove the results in irrelevant directions (Y and Z) for this track by a right click, and repeat this operation for each channel : 

/Insert image of the result with only relevant direction when bug solve/

You can then display the result in NVGate by double clicking.

==Calculating the other indicators with NVGate==
===<math>A_w</math>===
<math>A_w</math> is the daily vibration dose. It is calculated from an average of the RMS values form the weighted signal and represent the "quantity" of vibration the human body will receive when using of the tested equipment.

This value is defined as : <math>A_w = \sqrt{(k_{x}*a_{w_{x}})^2+(k_{y}*a_{w_{y}})^2+(k_{z}*a_{w_{z}})^2}</math>, with <math>k_i</math> defined in the standard and <math>a_{w_{x}}</math> the RMS value of the weighted acceleration signal in accordance to the direction, as defined in the [[Human_Vibration#Time-weighting_filters|table of the precedent section]]. 

====Calculation in NVGate====

To calculate the <math>A_w</math> in NVGate, calculmate the [[NVGate Time Domain Analysis#RMS|RMS level]] of the weighted signal in [[NVGate_Post_Analysis|Post analysis]]. Here, we will calculate the <math>A_w</math> for the SeatPad measurement as defined for a whole-body measurement in the ISO 2651. According to the [Human_Vibration#Time-weighting_filters|table]], we need to calculate the RMS level of the <math>W_k</math> weighted signal for the Z direction and the <math>W_d</math> weighted signal for the X and Y directions. You then must [[NVGate Display|display]] the three RMS level in the same window : 

[[Image:RMS.png|500px]]

===Ah and Ah(8)===
===VDV Texp===

==Practical information about measurements==

Durée de mesure
Type de mesure
Placement des capteurs
Exemple de capteur : [[https://www.dytran.com/Search/?searchText=seat+pad|Seat Pad accelerometer]]
Capteur avec adaptateurs hand arms

Human Vibration

2020-12-02T12:30:36Z

NIcolasAegerter: /* Dk */

The OROS Body Vibration tool allow you to evaluate the affect of vibration on the human body according to standards ISO 2651 and ISO 5349. These standard define measurement practice and vibration signal analysis to evaluate the affect on health and and comfort of environmental and equipment vibrations on the Human body. 

The ISO 2651 describe the affect on health and comfort of vibration on the whole-body in transportation system, and the ISO 5349 the affect on health of vibration on hands and arms when manipulating machine-tools or vibrating objects. In the following, we will see how to use OROS to evaluate these effect. 
 
This is a post analysis toolkit, operating alongside NVGate after the recording of the signal and will help you to calculate time-weighted signal of acceleration and specific indicators both defined in the standards. 
[[Image:OROS_BodyVib2.png|800px|none]]
 
==Download & install==
Download the program here (version from 16/11/2020) :
https://orossas.sharepoint.com/:u:/g/support/ERx7p7QyS3tFvwhLyzDk-I8BhYdZULbj1WYLRA4xHJGc7A?e=sdgiBS

Once downloaded, you can unzip the folder and lunch the installer program Setup_OROS_BodyVibration_Tool_vXX.exe. Follow the step of the program to properly install the software. 

The program will be installed in "C:\OROS\Programs\ExternalTools". Shortcuts are created on the main desktop, in the Windows Start program and in the "Link" repertory of NVGate. By that way you can directly run the program from NVGate.

==How to use==

<ol>
<li>Launch NVGate </li>
<li>Launch OROS_BodyVibration_Tool.exe </li>
<li>Open a project in NVGate </li>

[[File:Open_Proj.png]]
 
<li>In the tool, Click on list measurement to list all the measurement present in the project (only the measurement where the signal files are actually on the disk will be displayed. Ensure you have [[NVGate_Project_manager#Uploading.2FDownloading|downloaded signal from the OR3X disk]]) </li>
[[Image:List_Meas.png|400px|none]]
<li>Add the measurement you want to analyse in the "selected list" area using the ">>" button. Use the "<<" button to remove file if needed. </li>
[[Image:Add_Rmv.png|400px|none]]
<li>Click on "Select Directions" to set the direction and sensor for each channel (This step is not necessary if you only want the time-weighted signals). </li>
[[Image:Select_DOF.png|400px|none]]
<li>Select the weighting you want to apply on the time signal </li>
[[Image:Select_Filter.png|400px|none]]
<li>Select the weighting you want to apply for each direction X, Y and Z used for the indicators </li>
[[Image:Select_Process_Filt.png|400px|none]]
<li>Select the metrics you want to calculate </li>
[[Image:Select_Metric.png|400px|none]]
<li>Click on "Start Processing" </li>
[[Image:Strat_Proc.png|400px|none]]
<li>The processing is completed when a the following pop-up window appear. The results and weighted signal have added to the current NVGate project. See the next sections for details. </li>
[[Image:The_End.png|400px|none]]
</ol>

==Toolkit results==
===Time-weighted signal===
Studies of the affect of vibrations on the human body suggest that part of the body don't have the same response to vibrations, and will be sensitive to specific frequencies and transient component of vibration signal. In order to represent the sensitivity of the human boy, ISO standards defined time-weighting that must applied to the signal according to the environmental conditions. The following part present you how to apply time-weighting filters to your signal using the toolkit.
====Time-weighting filters====
As defined in the standards, specific time weighting must be applied to the acceleration signal in order to represent the effect of vibrations on health and comfort. Here is the list of the different time-weighting filters implemented in the toolkit : 
{| class="wikitable" style="margin: auto;"
|+style="caption-side:bottom;"|''Time-weighting filters''
|-
|style="height:30px; width:100px;"|<math>W_k</math>
|Time weighting for the Z axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_d</math>
|Time weighting for the X and Y axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_h</math>
|Time weighting for the hand-arms measurement in any direction (ISO 5349-1)
|-
|style="height:30px; width:100px;"|<math>W_f</math>
|Time weighting for motion sickness measurement in the vertical direction (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_c</math>
|Time weighting for the X axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_e</math>
|Time weighting for all rotational directions for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_j</math>
|Time weighting for the Z axis for head comfort measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_m</math>
|Time weighting for all directions for building's vibration comfort measurement (ISO 2651-2)
|}

Filters have been validated from 0.5 to 10kHz at 25.6kSample/second.

====Usage in the toolkit====
The toolkit allow you to calculate the filtered raw signal with any of the above weighting filters. This will allow you to display [[NVGate FFT Analyzer|spectrums]] and calculate RMS via [[NVGate_Post_Analysis|post-analysis]] in NVGate.

To calculate the raw weighted signal, simply select the filters you want in the "Time signal filters" section :

[[Image:Filter2.png]]

Once the processing is completed, a new measurement containing the filtered signal for each selected filter is created in [[NVGate Project manager|NVGate Project Manager]] :

[[Image:Filtered_Sig.png|400px]]
 
You can then load the new signals in the player as any NVGate signal. Each track of the signal is filtered with the corresponding filter. 

[[Image:Sig_In_ Player.png|800px]]

===Health and comfort indicator===
In addition to the time-weighting filters, the ISO standards present a series of specific metrics to evaluate the affect of vibrations on the Human body. The following section will present you how to use the toolkit to access these metrics.
====Indicators====

{| class="wikitable" style="margin: auto;"
|+style="caption-side:bottom;"|''Body vibration indicators''
|-
|style="height:30px; width:100px;"|<math>A_w</math>
|RMS of the weighted acceleration magnitude.
|-
|style="height:30px; width:100px;"|<math>a_v</math>
|Total RMS value calculated as a quadratic average of the three direction for each tri-axial sensor.
|-
|style="height:30px; width:100px;"|<math>A_h</math>
|RMS of the <math>W_h</math> weighted acceleration magnitude.
|-
|style="height:30px; width:100px;"|<math>Peak</math>
|Amplitude Peak of the vibration; maximal amplitude of the signal from the 0 (Calculated from Post processing in NVGate)
|-
|style="height:30px; width:100px;"|<math>Crest factor</math>
|Ratio between the Peak level and the RMS of the weighted signal(Calculated from Post processing in NVGate)
|-
|style="height:30px; width:100px;"|<math>MTVV</math>
|Maximum Transient Vibration Value, represent the maximal RMS value of the signal
|-
|style="height:30px; width:100px;"|<math>VDV</math>
|Vibration Dose Value, taking into account the temporal shocks in the signal
|-
|style="height:30px; width:100px;"|<math>MSDV</math>
|Motion Sickness Dose Value, representing the comfort in transportation measurement
|-
|style="height:30px; width:100px;"|<math>D_k</math>
|The Acceleration Dose, representing the affect of the vibration on the spine
|-
|style="height:30px; width:100px;"|<math>Se</math>
|The equivalent Static compression stress on the spine, caused by repeated shocks
|}

======Aw======

The <math>A_w</math> is the RMS of the weighted acceleration signal. The weighting is applied in accordance with the direction set for each channel and the weighting filter defined for the direction. 

For each channel, the <math>A_w</math> and <math>A_w(T)</math> will be calculated. The <math>A_w(T)</math> is the Daily exposure value, defined as : 
<math display="block" forcemathmode="5">A_w(T) = A_w*k_{i}*\sqrt{\frac{T}{T_m}}</math>
 
With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter. the <math>k_i</math> factor is defined in the ISO 2631 as <math>k_X = k_Y = 1.4</math> and <math>k_Z = 1</math>.

When comparing result from one measurement point in the three direction, the maximum of the Daily exposure value must be used as the total daily exposure value at that point : 
<math display="block" forcemathmode="5">A_w(T) = max(A_{wX}(T), A_{wY}(T), A_{wZ}(T)) </math>
 
======av======
The <math>a_v</math> is the total RMS vibration value of the weighted acceleration signal. This value will only be calculated if a sensor have been defined in the definition of direction window.

For each tri-axial sensor, the <math>a_v</math> will be calculated as a quadratic average of the weighted RMS value in the three directions : 

<math display="block" forcemathmode="5">a_v = \sqrt{{a_{vX}}^{2}*{k_{X}}^{2} + {a_{vY}}^{2}*{k_{Y}}^{2} + {a_{vZ}}^{2}*{k_{Z}}^{2}}</math> 
With <math>k_{X,Y,Z}</math> a factor defined in the ISO 2631 as <math>k_{X}=k_{Y}=1.4</math> and <math>k_{Z}=1</math>
 
======Ah======
The <math>A_h</math> is the RMS of the <math>W_h</math> weighted acceleration signal for hand-arms vibration measurement. For each channel, the <math>A_h</math> and <math>A_h(T)</math> will be calculated. The <math>A_h(T)</math> is the Daily exposure value, defined as : 

<math display="block" forcemathmode="5">A_h(T) = A_h*\sqrt{\frac{T}{T_m}}</math> 

With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter. 

If any sensor is defined, the total <math>A_h</math> and <math>A_h(T)</math> will be calculated for each sensor as a quadratic average of the three direction of the sensor : 
<math display="block" forcemathmode="5">A_{h Total} = \sqrt{{a_{hX}}^{2}*{k_{X}}^{2} + {a_{hY}}^{2}*{k_{Y}}^{2} + {a_{hZ}}^{2}*{k_{Z}}^{2}}</math>
 
and : 
 
<math display="block" forcemathmode="5">A_{h Total}(T) = \sqrt{{a_{hX}}^{2}*{k_{X}}^{2} + {a_{hY}}^{2}*{k_{Y}}^{2} + {a_{hZ}}^{2}*{k_{Z}}^{2}}*\sqrt{\frac{T}{T_m}}</math>
 
With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter, and <math>k_{X}=k_{Y}=k_{Z}=1</math>
 

======Peak======

This indicator is the [[NVGate_Time_Domain_Analysis#Available_results|peak amplitude]] of the vibration signal. It represent the maximal amplitude of the weighted signal. This indicator can be obtained in NVGate by [[NVGate Post Analysis|post-analysing]] the weighted signal with the [[NVGate Time Domain Analysis|TDA plugin of NVGate]].

======MTVV======
The MTVV is the Maximal Transient Vibration Value, is the maximum of the running RMS of the weighted acceleration. This value is calculated for each channel and is expressed in m/s².

The MTVV Tau is the integration time, expressed in seconds. This value can be edited before the calculation, but the ISO 2631 recommand to use 1 second. Therefore this is the default value of this parameter.

======VDV======
The VDV is the forth power Vibration Dose Value. It is calculated as a cumulative sum of the weighted acceleration at the forth power. The forth power is used to give more weight to the transient event of the signal over the periodic event. Therefore, this indicator must be used to asses the effect of shock on human health and comfort. The VDV is calculated for each channel and expressed in m/s^(1.75). 

If the "VDVTexp" box is checked, an evaluation of the VDV value over a longer time period will be calculated of each channel as : 
<math display="block" forcemathmode="5">VDV_{X,Y,Z}(T) = VDV_{X,Y,Z}*k_{X,Y,Z}*\sqrt[4]{\frac{T}{T_m}}</math> 

With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter, and <math>k_{X}=k_{Y}=1.4</math>, and <math>k_{Z}=1</math>
======MSDV======
This metric is the Motion Sickness Dose Value, used to evaluate the ride comfort in in-vehicle measurement. It is expressed in m.s^(1.5). 

Although this value will be calculated for each direction, only the Z-direction will have a prominent relevance to assess ride comfort.
======Dk======
<math>D_k</math> is the acceleration dose. It is use to evaluate the effect of vibrations on the human spine, and calculated as the 6th root of the sum of the peaks in the acceleration signal raised at the 6th power. it is expressed in m/s². Peaks are defined as the absolute maximum of the acceleration signal between two zeros crossing. In the Z direction, only the positive peak will be considered, were all positive and negative peaks are used for the X and Y directions. 

Assessing the affect of the vibration on human spine is important when dealing with transportation vehicul.

Specific filters are used to weight the acceleration signal before calculating the <math>D_k</math>. These filter are different for the vertical and horizontal direction, and are defined for a sampling rate of 160 Sample/second. Therefore, we advise to [[NVGate Recorder|record]] the signal with a low [[NVGate_Front_End#Input_settings|sampling rate]] in NVGate. 

======Se======

====In the toolkit====
Before calculating the indicators in the toolkit, you must define a filter for each directions. Filters will be selected in accordance with the wanted result (Hand-arms; Whole-Body, ..) and the direction of the measurement as specified in the table [[Human_Vibration#Time-weighting_filters|describing the filters]]. Filters will be applied to the signal before calculating the indicators, but the time-filtered signal will not be saved. 
[[Image:Processing_Filter.png]]

You will then need to select the indicators to be calculated bi ticking the boxes. 
[[Image:Selected_Processing.png]]

The MTVV Tau is the integration time in seconds used for the calculation of the MTVV. The ISO 2651 recommand to use 1sec. This is the default value of the setting. 

You can then start the processing to calculate the indicators.

Once completed, the result can be find the currently opened project in the [[NVGate Project manager]]. A new measurement called "NAME_OF_THE_Signal_out" containing the result is created. As many measurement folder as selected signal will be created during the processing. 
[[Image:Project_Manager_results.png]]

Each indicator is calculated for each direction and for each track of the signal. The name of the result contain the name of the track, the considered direction and the filter used for that direction (except for the <math>D_k</math> which use specific filters). The following picture show the indicators for the first track (SeatPadX) of the signal : 
[[Image:Result_for_track.png]]

Here this track represent the X direction. We can remove the results in irrelevant directions (Y and Z) for this track by a right click, and repeat this operation for each channel : 

/Insert image of the result with only relevant direction when bug solve/

You can then display the result in NVGate by double clicking.

==Calculating the other indicators with NVGate==
===<math>A_w</math>===
<math>A_w</math> is the daily vibration dose. It is calculated from an average of the RMS values form the weighted signal and represent the "quantity" of vibration the human body will receive when using of the tested equipment.

This value is defined as : <math>A_w = \sqrt{(k_{x}*a_{w_{x}})^2+(k_{y}*a_{w_{y}})^2+(k_{z}*a_{w_{z}})^2}</math>, with <math>k_i</math> defined in the standard and <math>a_{w_{x}}</math> the RMS value of the weighted acceleration signal in accordance to the direction, as defined in the [[Human_Vibration#Time-weighting_filters|table of the precedent section]]. 

====Calculation in NVGate====

To calculate the <math>A_w</math> in NVGate, calculmate the [[NVGate Time Domain Analysis#RMS|RMS level]] of the weighted signal in [[NVGate_Post_Analysis|Post analysis]]. Here, we will calculate the <math>A_w</math> for the SeatPad measurement as defined for a whole-body measurement in the ISO 2651. According to the [Human_Vibration#Time-weighting_filters|table]], we need to calculate the RMS level of the <math>W_k</math> weighted signal for the Z direction and the <math>W_d</math> weighted signal for the X and Y directions. You then must [[NVGate Display|display]] the three RMS level in the same window : 

[[Image:RMS.png|500px]]

===Ah and Ah(8)===
===VDV Texp===

==Practical information about measurements==

Durée de mesure
Type de mesure
Placement des capteurs
Exemple de capteur : [[https://www.dytran.com/Search/?searchText=seat+pad|Seat Pad accelerometer]]
Capteur avec adaptateurs hand arms

Human Vibration

2020-12-02T11:30:09Z

NIcolasAegerter: /* Indicators */

The OROS Body Vibration tool allow you to evaluate the affect of vibration on the human body according to standards ISO 2651 and ISO 5349. These standard define measurement practice and vibration signal analysis to evaluate the affect on health and and comfort of environmental and equipment vibrations on the Human body. 

The ISO 2651 describe the affect on health and comfort of vibration on the whole-body in transportation system, and the ISO 5349 the affect on health of vibration on hands and arms when manipulating machine-tools or vibrating objects. In the following, we will see how to use OROS to evaluate these effect. 
 
This is a post analysis toolkit, operating alongside NVGate after the recording of the signal and will help you to calculate time-weighted signal of acceleration and specific indicators both defined in the standards. 
[[Image:OROS_BodyVib2.png|800px|none]]
 
==Download & install==
Download the program here (version from 16/11/2020) :
https://orossas.sharepoint.com/:u:/g/support/ERx7p7QyS3tFvwhLyzDk-I8BhYdZULbj1WYLRA4xHJGc7A?e=sdgiBS

Once downloaded, you can unzip the folder and lunch the installer program Setup_OROS_BodyVibration_Tool_vXX.exe. Follow the step of the program to properly install the software. 

The program will be installed in "C:\OROS\Programs\ExternalTools". Shortcuts are created on the main desktop, in the Windows Start program and in the "Link" repertory of NVGate. By that way you can directly run the program from NVGate.

==How to use==

<ol>
<li>Launch NVGate </li>
<li>Launch OROS_BodyVibration_Tool.exe </li>
<li>Open a project in NVGate </li>

[[File:Open_Proj.png]]
 
<li>In the tool, Click on list measurement to list all the measurement present in the project (only the measurement where the signal files are actually on the disk will be displayed. Ensure you have [[NVGate_Project_manager#Uploading.2FDownloading|downloaded signal from the OR3X disk]]) </li>
[[Image:List_Meas.png|400px|none]]
<li>Add the measurement you want to analyse in the "selected list" area using the ">>" button. Use the "<<" button to remove file if needed. </li>
[[Image:Add_Rmv.png|400px|none]]
<li>Click on "Select Directions" to set the direction and sensor for each channel (This step is not necessary if you only want the time-weighted signals). </li>
[[Image:Select_DOF.png|400px|none]]
<li>Select the weighting you want to apply on the time signal </li>
[[Image:Select_Filter.png|400px|none]]
<li>Select the weighting you want to apply for each direction X, Y and Z used for the indicators </li>
[[Image:Select_Process_Filt.png|400px|none]]
<li>Select the metrics you want to calculate </li>
[[Image:Select_Metric.png|400px|none]]
<li>Click on "Start Processing" </li>
[[Image:Strat_Proc.png|400px|none]]
<li>The processing is completed when a the following pop-up window appear. The results and weighted signal have added to the current NVGate project. See the next sections for details. </li>
[[Image:The_End.png|400px|none]]
</ol>

==Toolkit results==
===Time-weighted signal===
Studies of the affect of vibrations on the human body suggest that part of the body don't have the same response to vibrations, and will be sensitive to specific frequencies and transient component of vibration signal. In order to represent the sensitivity of the human boy, ISO standards defined time-weighting that must applied to the signal according to the environmental conditions. The following part present you how to apply time-weighting filters to your signal using the toolkit.
====Time-weighting filters====
As defined in the standards, specific time weighting must be applied to the acceleration signal in order to represent the effect of vibrations on health and comfort. Here is the list of the different time-weighting filters implemented in the toolkit : 
{| class="wikitable" style="margin: auto;"
|+style="caption-side:bottom;"|''Time-weighting filters''
|-
|style="height:30px; width:100px;"|<math>W_k</math>
|Time weighting for the Z axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_d</math>
|Time weighting for the X and Y axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_h</math>
|Time weighting for the hand-arms measurement in any direction (ISO 5349-1)
|-
|style="height:30px; width:100px;"|<math>W_f</math>
|Time weighting for motion sickness measurement in the vertical direction (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_c</math>
|Time weighting for the X axis for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_e</math>
|Time weighting for all rotational directions for whole-body measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_j</math>
|Time weighting for the Z axis for head comfort measurement (ISO 2651-1)
|-
|style="height:30px; width:100px;"|<math>W_m</math>
|Time weighting for all directions for building's vibration comfort measurement (ISO 2651-2)
|}

Filters have been validated from 0.5 to 10kHz at 25.6kSample/second.

====Usage in the toolkit====
The toolkit allow you to calculate the filtered raw signal with any of the above weighting filters. This will allow you to display [[NVGate FFT Analyzer|spectrums]] and calculate RMS via [[NVGate_Post_Analysis|post-analysis]] in NVGate.

To calculate the raw weighted signal, simply select the filters you want in the "Time signal filters" section :

[[Image:Filter2.png]]

Once the processing is completed, a new measurement containing the filtered signal for each selected filter is created in [[NVGate Project manager|NVGate Project Manager]] :

[[Image:Filtered_Sig.png|400px]]
 
You can then load the new signals in the player as any NVGate signal. Each track of the signal is filtered with the corresponding filter. 

[[Image:Sig_In_ Player.png|800px]]

===Health and comfort indicator===
In addition to the time-weighting filters, the ISO standards present a series of specific metrics to evaluate the affect of vibrations on the Human body. The following section will present you how to use the toolkit to access these metrics.
====Indicators====

{| class="wikitable" style="margin: auto;"
|+style="caption-side:bottom;"|''Body vibration indicators''
|-
|style="height:30px; width:100px;"|<math>A_w</math>
|RMS of the weighted acceleration magnitude.
|-
|style="height:30px; width:100px;"|<math>a_v</math>
|Total RMS value calculated as a quadratic average of the three direction for each tri-axial sensor.
|-
|style="height:30px; width:100px;"|<math>A_h</math>
|RMS of the <math>W_h</math> weighted acceleration magnitude.
|-
|style="height:30px; width:100px;"|<math>Peak</math>
|Amplitude Peak of the vibration; maximal amplitude of the signal from the 0 (Calculated from Post processing in NVGate)
|-
|style="height:30px; width:100px;"|<math>Crest factor</math>
|Ratio between the Peak level and the RMS of the weighted signal(Calculated from Post processing in NVGate)
|-
|style="height:30px; width:100px;"|<math>MTVV</math>
|Maximum Transient Vibration Value, represent the maximal RMS value of the signal
|-
|style="height:30px; width:100px;"|<math>VDV</math>
|Vibration Dose Value, taking into account the temporal shocks in the signal
|-
|style="height:30px; width:100px;"|<math>MSDV</math>
|Motion Sickness Dose Value, representing the comfort in transportation measurement
|-
|style="height:30px; width:100px;"|<math>D_k</math>
|The Acceleration Dose, representing the affect of the vibration on the spine
|-
|style="height:30px; width:100px;"|<math>Se</math>
|The equivalent Static compression stress on the spine, caused by repeated shocks
|}

======Aw======

The <math>A_w</math> is the RMS of the weighted acceleration signal. The weighting is applied in accordance with the direction set for each channel and the weighting filter defined for the direction. 

For each channel, the <math>A_w</math> and <math>A_w(T)</math> will be calculated. The <math>A_w(T)</math> is the Daily exposure value, defined as : 
<math display="block" forcemathmode="5">A_w(T) = A_w*k_{i}*\sqrt{\frac{T}{T_m}}</math>
 
With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter. the <math>k_i</math> factor is defined in the ISO 2631 as <math>k_X = k_Y = 1.4</math> and <math>k_Z = 1</math>.

When comparing result from one measurement point in the three direction, the maximum of the Daily exposure value must be used as the total daily exposure value at that point : 
<math display="block" forcemathmode="5">A_w(T) = max(A_{wX}(T), A_{wY}(T), A_{wZ}(T)) </math>
 
======av======
The <math>a_v</math> is the total RMS vibration value of the weighted acceleration signal. This value will only be calculated if a sensor have been defined in the definition of direction window.

For each tri-axial sensor, the <math>a_v</math> will be calculated as a quadratic average of the weighted RMS value in the three directions : 

<math display="block" forcemathmode="5">a_v = \sqrt{{a_{vX}}^{2}*{k_{X}}^{2} + {a_{vY}}^{2}*{k_{Y}}^{2} + {a_{vZ}}^{2}*{k_{Z}}^{2}}</math> 
With <math>k_{X,Y,Z}</math> a factor defined in the ISO 2631 as <math>k_{X}=k_{Y}=1.4</math> and <math>k_{Z}=1</math>
 
======Ah======
The <math>A_h</math> is the RMS of the <math>W_h</math> weighted acceleration signal for hand-arms vibration measurement. For each channel, the <math>A_h</math> and <math>A_h(T)</math> will be calculated. The <math>A_h(T)</math> is the Daily exposure value, defined as : 

<math display="block" forcemathmode="5">A_h(T) = A_h*\sqrt{\frac{T}{T_m}}</math> 

With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter. 

If any sensor is defined, the total <math>A_h</math> and <math>A_h(T)</math> will be calculated for each sensor as a quadratic average of the three direction of the sensor : 
<math display="block" forcemathmode="5">A_{h Total} = \sqrt{{a_{hX}}^{2}*{k_{X}}^{2} + {a_{hY}}^{2}*{k_{Y}}^{2} + {a_{hZ}}^{2}*{k_{Z}}^{2}}</math>
 
and : 
 
<math display="block" forcemathmode="5">A_{h Total}(T) = \sqrt{{a_{hX}}^{2}*{k_{X}}^{2} + {a_{hY}}^{2}*{k_{Y}}^{2} + {a_{hZ}}^{2}*{k_{Z}}^{2}}*\sqrt{\frac{T}{T_m}}</math>
 
With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter, and <math>k_{X}=k_{Y}=k_{Z}=1</math>
 

======Peak======

This indicator is the [[NVGate_Time_Domain_Analysis#Available_results|peak amplitude]] of the vibration signal. It represent the maximal amplitude of the weighted signal. This indicator can be obtained in NVGate by [[NVGate Post Analysis|post-analysing]] the weighted signal with the [[NVGate Time Domain Analysis|TDA plugin of NVGate]].

======MTVV======
The MTVV is the Maximal Transient Vibration Value, is the maximum of the running RMS of the weighted acceleration. This value is calculated for each channel and is expressed in m/s².

The MTVV Tau is the integration time, expressed in seconds. This value can be edited before the calculation, but the ISO 2631 recommand to use 1 second. Therefore this is the default value of this parameter.

======VDV======
The VDV is the forth power Vibration Dose Value. It is calculated as a cumulative sum of the weighted acceleration at the forth power. The forth power is used to give more weight to the transient event of the signal over the periodic event. Therefore, this indicator must be used to asses the effect of shock on human health and comfort. The VDV is calculated for each channel and expressed in m/s^(1.75). 

If the "VDVTexp" box is checked, an evaluation of the VDV value over a longer time period will be calculated of each channel as : 
<math display="block" forcemathmode="5">VDV_{X,Y,Z}(T) = VDV_{X,Y,Z}*k_{X,Y,Z}*\sqrt[4]{\frac{T}{T_m}}</math> 

With <math>T_m</math> the duration of the measurement and <math>T</math> the total exposure duration represented by the "Reference time" parameter, and <math>k_{X}=k_{Y}=1.4</math>, and <math>k_{Z}=1</math>
======MSDV======
This metric is the Motion Sickness Dose Value, used to evaluate the ride comfort in in-vehicle measurement. It is expressed in m.s^(1.5). 

Although this value will be calculated for each direction, only the Z-direction will have a prominent relevance to assess ride comfort.
======Dk======

======Se======

====In the toolkit====
Before calculating the indicators in the toolkit, you must define a filter for each directions. Filters will be selected in accordance with the wanted result (Hand-arms; Whole-Body, ..) and the direction of the measurement as specified in the table [[Human_Vibration#Time-weighting_filters|describing the filters]]. Filters will be applied to the signal before calculating the indicators, but the time-filtered signal will not be saved. 
[[Image:Processing_Filter.png]]

You will then need to select the indicators to be calculated bi ticking the boxes. 
[[Image:Selected_Processing.png]]

The MTVV Tau is the integration time in seconds used for the calculation of the MTVV. The ISO 2651 recommand to use 1sec. This is the default value of the setting. 

You can then start the processing to calculate the indicators.

Once completed, the result can be find the currently opened project in the [[NVGate Project manager]]. A new measurement called "NAME_OF_THE_Signal_out" containing the result is created. As many measurement folder as selected signal will be created during the processing. 
[[Image:Project_Manager_results.png]]

Each indicator is calculated for each direction and for each track of the signal. The name of the result contain the name of the track, the considered direction and the filter used for that direction (except for the <math>D_k</math> which use specific filters). The following picture show the indicators for the first track (SeatPadX) of the signal : 
[[Image:Result_for_track.png]]

Here this track represent the X direction. We can remove the results in irrelevant directions (Y and Z) for this track by a right click, and repeat this operation for each channel : 

/Insert image of the result with only relevant direction when bug solve/

You can then display the result in NVGate by double clicking.

==Calculating the other indicators with NVGate==
===<math>A_w</math>===
<math>A_w</math> is the daily vibration dose. It is calculated from an average of the RMS values form the weighted signal and represent the "quantity" of vibration the human body will receive when using of the tested equipment.

This value is defined as : <math>A_w = \sqrt{(k_{x}*a_{w_{x}})^2+(k_{y}*a_{w_{y}})^2+(k_{z}*a_{w_{z}})^2}</math>, with <math>k_i</math> defined in the standard and <math>a_{w_{x}}</math> the RMS value of the weighted acceleration signal in accordance to the direction, as defined in the [[Human_Vibration#Time-weighting_filters|table of the precedent section]]. 

====Calculation in NVGate====

To calculate the <math>A_w</math> in NVGate, calculmate the [[NVGate Time Domain Analysis#RMS|RMS level]] of the weighted signal in [[NVGate_Post_Analysis|Post analysis]]. Here, we will calculate the <math>A_w</math> for the SeatPad measurement as defined for a whole-body measurement in the ISO 2651. According to the [Human_Vibration#Time-weighting_filters|table]], we need to calculate the RMS level of the <math>W_k</math> weighted signal for the Z direction and the <math>W_d</math> weighted signal for the X and Y directions. You then must [[NVGate Display|display]] the three RMS level in the same window : 

[[Image:RMS.png|500px]]

===Ah and Ah(8)===
===VDV Texp===

==Practical information about measurements==

Durée de mesure
Type de mesure
Placement des capteurs
Exemple de capteur : [[https://www.dytran.com/Search/?searchText=seat+pad|Seat Pad accelerometer]]
Capteur avec adaptateurs hand arms

Human Vibration

2020-12-02T11:12:34Z

NIcolasAegerter: /* Indicators */

Human Vibration

2020-12-02T11:07:18Z

NIcolasAegerter: /* Indicators */

Human Vibration

2020-12-01T12:09:42Z

NIcolasAegerter: /* VDV */

Human Vibration

2020-12-01T11:33:20Z

NIcolasAegerter: /* Ah */

Human Vibration

2020-12-01T11:31:36Z

NIcolasAegerter: /* Aw */

Human Vibration

2020-12-01T11:29:04Z

NIcolasAegerter: /* Aw */