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Thomas Dehaeze 2019-07-19 09:36:54 +02:00
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modal-analysis/index.html
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@ -3,7 +3,7 @@
"http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd"> "http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd">
<html xmlns="http://www.w3.org/1999/xhtml" lang="en" xml:lang="en"> <html xmlns="http://www.w3.org/1999/xhtml" lang="en" xml:lang="en">
<head> <head>
<!-- 2019-07-12 ven. 11:24 --> <!-- 2019-07-19 ven. 09:33 -->
<meta http-equiv="Content-Type" content="text/html;charset=utf-8" /> <meta http-equiv="Content-Type" content="text/html;charset=utf-8" />
<meta name="viewport" content="width=device-width, initial-scale=1" /> <meta name="viewport" content="width=device-width, initial-scale=1" />
<title>Modal Analysis of the ID31 Micro-Station</title> <title>Modal Analysis of the ID31 Micro-Station</title>
@ -278,22 +278,22 @@ for the JavaScript code in this tag.
<h1 class="title">Modal Analysis of the ID31 Micro-Station</h1> <h1 class="title">Modal Analysis of the ID31 Micro-Station</h1>
<p> <p>
The goal is to experimentally extract a <b>Spatial Model</b> (mass, damping, stiffness) of the structure (shown on figure <a href="#org4a31989">1</a>) in order to tune the Multi-Body model. The goal is to experimentally extract a <b>Spatial Model</b> (mass, damping, stiffness) of the structure (shown on figure <a href="#orgb25ffa7">1</a>) in order to tune the Multi-Body model.
</p> </p>
<div id="org4a31989" class="figure"> <div id="orgb25ffa7" class="figure">
<p><img src="img/nass_picture.png" alt="nass_picture.png" width="500px" /> <p><img src="img/nass_picture.png" alt="nass_picture.png" width="500px" />
</p> </p>
<p><span class="figure-number">Figure 1: </span>Picture of the ID31 Micro-Station. (1) Granite (2) Translation Stage (3) Tilt Stage (4) Hexapod (5) Dummy Mass</p> <p><span class="figure-number">Figure 1: </span>Picture of the ID31 Micro-Station. (1) Granite (2) Translation Stage (3) Tilt Stage (4) Hexapod (5) Dummy Mass</p>
</div> </div>
<p> <p>
The procedure is represented on figure <a href="#org4a4053c">2</a> where we go from left to right. The procedure is represented on figure <a href="#orgabc49bf">2</a> where we go from left to right.
</p> </p>
<div id="org4a4053c" class="figure"> <div id="orgabc49bf" class="figure">
<p><img src="img/vibration_analysis_procedure.png" alt="vibration_analysis_procedure.png" width="400px" /> <p><img src="img/vibration_analysis_procedure.png" alt="vibration_analysis_procedure.png" width="400px" />
</p> </p>
<p><span class="figure-number">Figure 2: </span>Vibration Analysis Procedure</p> <p><span class="figure-number">Figure 2: </span>Vibration Analysis Procedure</p>
@ -316,7 +316,7 @@ Theses matrices will be used to tune the Simscape (multi-body) model.
The modes we want to identify are those in the frequency range between 0Hz and 150Hz. The modes we want to identify are those in the frequency range between 0Hz and 150Hz.
</p> </p>
<table id="org890b40f" border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides"> <table id="org41b882b" border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
<caption class="t-above"><span class="table-number">Table 1:</span> Terminology for further analysis</caption> <caption class="t-above"><span class="table-number">Table 1:</span> Terminology for further analysis</caption>
<colgroup> <colgroup>
@ -335,38 +335,38 @@ The modes we want to identify are those in the frequency range between 0Hz and 1
</thead> </thead>
<tbody> <tbody>
<tr> <tr>
<td class="org-center">\(S\)</td> <td class="org-center">\(p\)</td>
<td class="org-left">Number of solid body considered</td> <td class="org-left">Number of solid body considered</td>
<td class="org-center">6</td> <td class="org-center">6</td>
</tr> </tr>
<tr> <tr>
<td class="org-center">\(M\)</td> <td class="org-center">\(m\)</td>
<td class="org-left">Number of accelerometers</td> <td class="org-left">Number of accelerometers</td>
<td class="org-center">23</td> <td class="org-center">23</td>
</tr> </tr>
<tr> <tr>
<td class="org-center">\(N\)</td> <td class="org-center">\(n\)</td>
<td class="org-left">Number of identified modes</td> <td class="org-left">Number of identified modes</td>
<td class="org-center">21</td> <td class="org-center">21</td>
</tr> </tr>
<tr> <tr>
<td class="org-center">\(p\)</td> <td class="org-center">\(q\)</td>
<td class="org-left">Number of frequency points</td> <td class="org-left">Number of frequency points</td>
<td class="org-center">801</td> <td class="org-center">801</td>
</tr> </tr>
<tr> <tr>
<td class="org-center">\(E\)</td> <td class="org-center">\(s\)</td>
<td class="org-left">Number of excitation</td> <td class="org-left">Number of excitation</td>
<td class="org-center">3</td> <td class="org-center">3</td>
</tr> </tr>
</tbody> </tbody>
</table> </table>
<table id="orgbda6b99" border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides"> <table id="org4089d51" border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
<caption class="t-above"><span class="table-number">Table 2:</span> Terminology for further analysis</caption> <caption class="t-above"><span class="table-number">Table 2:</span> Terminology for further analysis</caption>
<colgroup> <colgroup>
@ -382,7 +382,7 @@ The modes we want to identify are those in the frequency range between 0Hz and 1
</thead> </thead>
<tbody> <tbody>
<tr> <tr>
<td class="org-center">\(\Lambda\)</td> <td class="org-center">\([\Lambda]\)</td>
<td class="org-left">Complex eigen value matrix</td> <td class="org-left">Complex eigen value matrix</td>
</tr> </tr>
@ -427,10 +427,17 @@ The modal analysis of the ID31 Micro-station thus consists of several parts:
<li><a href="modal_extraction.html">Modal Parameter Extraction</a></li> <li><a href="modal_extraction.html">Modal Parameter Extraction</a></li>
<li><a href="mathematical_model.html">Derivation of Mathematical Model</a></li> <li><a href="mathematical_model.html">Derivation of Mathematical Model</a></li>
</ul> </ul>
<div id="org532fb43" class="figure">
<p><img src="figs/modal_test_procedure_vertical.png" alt="modal_test_procedure_vertical.png" width="600px" />
</p>
<p><span class="figure-number">Figure 3: </span>Modal Anslysis Procedure</p>
</div>
</div> </div>
<div id="postamble" class="status"> <div id="postamble" class="status">
<p class="author">Author: Dehaeze Thomas</p> <p class="author">Author: Dehaeze Thomas</p>
<p class="date">Created: 2019-07-12 ven. 11:24</p> <p class="date">Created: 2019-07-19 ven. 09:33</p>
<p class="validation"><a href="http://validator.w3.org/check?uri=referer">Validate</a></p> <p class="validation"><a href="http://validator.w3.org/check?uri=referer">Validate</a></p>
</div> </div>
</body> </body>

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modal-analysis/index.org
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@ -72,3 +72,8 @@ The modal analysis of the ID31 Micro-station thus consists of several parts:
- [[file:frf_processing.org][Frequency Response Analysis and Processing]] - [[file:frf_processing.org][Frequency Response Analysis and Processing]]
- [[file:modal_extraction.org][Modal Parameter Extraction]] - [[file:modal_extraction.org][Modal Parameter Extraction]]
- [[file:mathematical_model.org][Derivation of Mathematical Model]] - [[file:mathematical_model.org][Derivation of Mathematical Model]]
#+name: fig:modal_test_procedure_vertical
#+caption: Modal Anslysis Procedure
#+attr_html: :width 600px
[[file:figs/modal_test_procedure_vertical.png]]