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<h1 class="title">Modal Analysis of the ID31 Micro-Station</h1>
<p>
The goal is to experimentally extract a <b>Spatial Model</b> (mass, damping, stiffness) of the structure (shown on figure <a href="#org811aaee">1</a>) in order to tune the Multi-Body model.
</p>
<div id="org811aaee" class="figure">
<p><img src="img/nass_picture.png" alt="nass_picture.png" width="500px" />
</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>
<p>
The procedure is represented on figure <a href="#org60c2278">2</a> where we go from left to right.
</p>
<div id="org60c2278" class="figure">
<p><img src="img/vibration_analysis_procedure.png" alt="vibration_analysis_procedure.png" width="400px" />
</p>
<p><span class="figure-number">Figure 2: </span>Vibration Analysis Procedure</p>
</div>
<p>
The steps are:
</p>
<ul class="org-ul">
<li>we obtain a <b>Response Model</b> (Frequency Response Functions) from measurements (described <a href="measurement.html">here</a>)</li>
<li>the response model is further converted into a <b>Modal Model</b> (Natural Frequencies and Mode Shapes) (described <a href="modal_extraction.html">here</a>)</li>
<li>this is converted into a <b>Spatial Model</b> with the Mass/Damping/Stiffness matrices (described <a href="mathematical_model.html">here</a>)</li>
</ul>
<p>
Theses matrices will be used to tune the Simscape (multi-body) model.
</p>
<p>
The modes we want to identify are those in the frequency range between 0Hz and 150Hz.
</p>
<p>
The modal analysis of the ID31 Micro-station thus consists of several parts:
</p>
<ul class="org-ul">
<li><a href="measurement.html">Frequency Response Measurements</a></li>
<li><a href="frf_processing.html">Frequency Response Analysis and Processing</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>
</ul>
</div>
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<p class="author">Author: Dehaeze Thomas</p>
<p class="date">Created: 2019-07-05 ven. 10:17</p>
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