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<h1 class="title">Equipment</h1>
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<div id="table-of-contents">
<h2>Table of Contents</h2>
<div id="text-table-of-contents">
<ul>
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<li><a href="#org460b7f3">1. Measurement System / Acquisition System</a>
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<ul>
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<li><a href="#orgee55a66">1.1. Modal Analysis</a></li>
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</ul>
</li>
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<li><a href="#org7367c20">2. Control System</a></li>
<li><a href="#org829ecdf">3. Positioning Stages</a>
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<ul>
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<li><a href="#org6375987">3.1. Hexapods</a></li>
<li><a href="#org157fe30">3.2. Translation/Rotation Stage</a></li>
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</ul>
</li>
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<li><a href="#org7175d7d">4. Amplifiers</a>
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<ul>
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<li><a href="#orgfc405a9">4.1. Current Amplifiers</a></li>
<li><a href="#org35b6261">4.2. Voltage Amplifiers</a></li>
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</ul>
</li>
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<li><a href="#orgd8ca591">5. ESRF Equipment</a>
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<ul>
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<li><a href="#orgf0d4bad">5.1. Geophones</a>
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<ul>
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<li><a href="#orgd84d4fd">5.1.1. L-28LB</a></li>
<li><a href="#org538a8d0">5.1.2. L-4C</a></li>
<li><a href="#org146e941">5.1.3. L-22</a></li>
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</ul>
</li>
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<li><a href="#org0011c20">5.2. Accelerometers</a>
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<ul>
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<li><a href="#orgadd6a99">5.2.1. Pieozoelectric acc. 356b18 - 3 axis</a></li>
<li><a href="#org1d721b4">5.2.2. Ceramic acc. 393B05 - 1 axis</a></li>
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</ul>
</li>
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<li><a href="#org72ba891">5.3. Modal analysis</a></li>
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</ul>
</li>
</ul>
</div>
</div>
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<div id="outline-container-org460b7f3" class="outline-2">
<h2 id="org460b7f3"><span class="section-number-2">1</span> Measurement System / Acquisition System</h2>
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<div class="outline-text-2" id="text-1">
</div>
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<div id="outline-container-orgee55a66" class="outline-3">
<h3 id="orgee55a66"><span class="section-number-3">1.1</span> Modal Analysis</h3>
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<div class="outline-text-3" id="text-1-1">
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<p>
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<a href="https://dewesoft.com/applications/structural-dynamics/modal-analysis">https://dewesoft.com/applications/structural-dynamics/modal-analysis</a>
Polytec 3D Scanning Laser Vibrometer <a href="https://www.polytec.com/us/vibrometry/products/full-field-vibrometers/psv-500-scanning-vibrometer/">https://www.polytec.com/us/vibrometry/products/full-field-vibrometers/psv-500-scanning-vibrometer/</a>
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</p>
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</div>
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</div>
</div>
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<div id="outline-container-org7367c20" class="outline-2">
<h2 id="org7367c20"><span class="section-number-2">2</span> Control System</h2>
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<div class="outline-text-2" id="text-2">
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<p>
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<a href="https://www.opal-rt.com/">https://www.opal-rt.com/</a>
<a href="https://www.speedgoat.com/">https://www.speedgoat.com/</a>
<a href="https://www.dspace.com/en/inc/home/products/hw/microlabbox.cfm">https://www.dspace.com/en/inc/home/products/hw/microlabbox.cfm</a>
<a href="https://www.ni.com/fr-fr/shop/pc-based-measurement-and-control-system.html">https://www.ni.com/fr-fr/shop/pc-based-measurement-and-control-system.html</a>
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</p>
</div>
</div>
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<div id="outline-container-org829ecdf" class="outline-2">
<h2 id="org829ecdf"><span class="section-number-2">3</span> Positioning Stages</h2>
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<div class="outline-text-2" id="text-3">
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</div>
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<div id="outline-container-org6375987" class="outline-3">
<h3 id="org6375987"><span class="section-number-3">3.1</span> Hexapods</h3>
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<div class="outline-text-3" id="text-3-1">
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<ul class="org-ul">
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<li><a href="https://www.alioindustries.com/">https://www.alioindustries.com/</a></li>
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<li><a href="https://www.symetrie.fr/en/home/">https://www.symetrie.fr/en/home/</a></li>
<li><a href="https://www.physikinstrumente.com/en/products/parallel-kinematic-hexapods/">https://www.physikinstrumente.com/en/products/parallel-kinematic-hexapods/</a></li>
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</ul>
</div>
</div>
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<div id="outline-container-org157fe30" class="outline-3">
<h3 id="org157fe30"><span class="section-number-3">3.2</span> Translation/Rotation Stage</h3>
<div class="outline-text-3" id="text-3-2">
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<ul class="org-ul">
<li><a href="https://www.attocube.com/en/products/nanopositioners">https://www.attocube.com/en/products/nanopositioners</a></li>
<li><a href="https://www.physikinstrumente.com/en/">https://www.physikinstrumente.com/en/</a></li>
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<li><a href="https://www.aerotech.com/">https://www.aerotech.com/</a></li>
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<li><a href="https://www.etel.ch/">https://www.etel.ch/</a></li>
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</ul>
</div>
</div>
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</div>
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<div id="outline-container-org7175d7d" class="outline-2">
<h2 id="org7175d7d"><span class="section-number-2">4</span> Amplifiers</h2>
<div class="outline-text-2" id="text-4">
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</div>
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<div id="outline-container-orgfc405a9" class="outline-3">
<h3 id="orgfc405a9"><span class="section-number-3">4.1</span> Current Amplifiers</h3>
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</div>
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<div id="outline-container-org35b6261" class="outline-3">
<h3 id="org35b6261"><span class="section-number-3">4.2</span> Voltage Amplifiers</h3>
<div class="outline-text-3" id="text-4-2">
<p>
Amplifiers:
<a href="https://www.cedrat-technologies.com/en/products/piezo-controllers/electronic-amplifier-boards.html">https://www.cedrat-technologies.com/en/products/piezo-controllers/electronic-amplifier-boards.html</a>
</p>
</div>
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</div>
</div>
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<div id="outline-container-orgd8ca591" class="outline-2">
<h2 id="orgd8ca591"><span class="section-number-2">5</span> ESRF Equipment</h2>
<div class="outline-text-2" id="text-5">
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</div>
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<div id="outline-container-orgf0d4bad" class="outline-3">
<h3 id="orgf0d4bad"><span class="section-number-3">5.1</span> Geophones</h3>
<div class="outline-text-3" id="text-5-1">
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</div>
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<div id="outline-container-orgd84d4fd" class="outline-4">
<h4 id="orgd84d4fd"><span class="section-number-4">5.1.1</span> L-28LB</h4>
<div class="outline-text-4" id="text-5-1-1">
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<ul class="org-ul">
<li><a href="http://www.sercel.com/products/Pages/seismometers.aspx">http://www.sercel.com/products/Pages/seismometers.aspx</a></li>
<li><a href="files/Geophones_specifications_Sercel_EN.pdf">Data Sheet</a>.</li>
</ul>
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<div id="org6cf1828" class="figure">
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<p><img src="./figs/L28LB.png" alt="L28LB.png" />
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</p>
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<p><span class="figure-number">Figure 1: </span>Picture of the L-28LB Geophone</p>
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</div>
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<table id="org5d7e4d7" border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
<caption class="t-above"><span class="table-number">Table 1:</span> L-28LB Parameters</caption>
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<colgroup>
<col class="org-left" />
<col class="org-right" />
</colgroup>
<tbody>
<tr>
<td class="org-left">Natural Frequency [Hz]</td>
<td class="org-right">4.5</td>
</tr>
<tr>
<td class="org-left">Weight [g]</td>
<td class="org-right">140</td>
</tr>
<tr>
<td class="org-left">Sensitivity [V/(m/s)]</td>
<td class="org-right">31.3</td>
</tr>
</tbody>
</table>
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<p>
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We define the parameters of the geophone and we plot its bode plot (figure <a href="#org4050d43">2</a>).
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</p>
<div class="org-src-container">
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<pre class="src src-matlab">w0 = 4.5<span class="org-type">*</span>2<span class="org-type">*</span><span class="org-constant">pi</span>; <span class="org-comment">% [rad/s]</span>
ksi = 0.38;
G0 = 31.3; <span class="org-comment">% [V/(m/s)]</span>
G = G0<span class="org-type">*</span>(s<span class="org-type">/</span>w0)<span class="org-type">^</span>2<span class="org-type">/</span>((s<span class="org-type">/</span>w0)<span class="org-type">^</span>2 <span class="org-type">+</span> 2<span class="org-type">*</span>ksi<span class="org-type">*</span>(s<span class="org-type">/</span>w0) <span class="org-type">+</span> 1);
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</pre>
</div>
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<div id="org4050d43" class="figure">
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<p><img src="figs/L28LB_bode_plot.png" alt="L28LB_bode_plot.png" />
</p>
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<p><span class="figure-number">Figure 2: </span>Bode plot of the L-28LB Geophone</p>
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</div>
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</div>
</div>
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<div id="outline-container-org538a8d0" class="outline-4">
<h4 id="org538a8d0"><span class="section-number-4">5.1.2</span> L-4C</h4>
<div class="outline-text-4" id="text-5-1-2">
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<ul class="org-ul">
<li><a href="http://www.sercel.com/products/Pages/seismometers.aspx">http://www.sercel.com/products/Pages/seismometers.aspx</a></li>
<li><a href="files/Geophones_specifications_Sercel_EN.pdf">Data Sheet</a>.</li>
</ul>
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<div id="orgb638127" class="figure">
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<p><img src="./figs/L4C.png" alt="L4C.png" />
</p>
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<p><span class="figure-number">Figure 3: </span>Picture of the L-4C Geophone</p>
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</div>
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<table id="orgaf8c105" border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
<caption class="t-above"><span class="table-number">Table 2:</span> L4C Parameters</caption>
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<colgroup>
<col class="org-left" />
<col class="org-right" />
</colgroup>
<tbody>
<tr>
<td class="org-left">Natural Frequency [Hz]</td>
<td class="org-right">1</td>
</tr>
<tr>
<td class="org-left">Weight [g]</td>
<td class="org-right">2150</td>
</tr>
<tr>
<td class="org-left">Sensitivity [V/(m/s)]</td>
<td class="org-right">276.8</td>
</tr>
</tbody>
</table>
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<p>
The transfer function from the velocity and the measured voltage is defined below.
</p>
<p>
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Its bode plot is shown on figure <a href="#orga4018d6">4</a>.
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</p>
<div class="org-src-container">
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<pre class="src src-matlab">w0 = 2<span class="org-type">*</span><span class="org-constant">pi</span>; <span class="org-comment">% [rad/s]</span>
ksi = 0.28;
G0 = 276.8; <span class="org-comment">% [V/(m/s)]</span>
G = G0<span class="org-type">*</span>(s<span class="org-type">/</span>w0)<span class="org-type">^</span>2<span class="org-type">/</span>((s<span class="org-type">/</span>w0)<span class="org-type">^</span>2 <span class="org-type">+</span> 2<span class="org-type">*</span>ksi<span class="org-type">*</span>(s<span class="org-type">/</span>w0) <span class="org-type">+</span> 1);
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</pre>
</div>
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<div id="orga4018d6" class="figure">
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<p><img src="figs/L4C_bode_plot.png" alt="L4C_bode_plot.png" />
</p>
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<p><span class="figure-number">Figure 4: </span>Bode plot of the L4C Geophone</p>
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</div>
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</div>
</div>
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<div id="outline-container-org146e941" class="outline-4">
<h4 id="org146e941"><span class="section-number-4">5.1.3</span> L-22</h4>
<div class="outline-text-4" id="text-5-1-3">
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<ul class="org-ul">
<li><a href="https://www.passcal.nmt.edu/content/instrumentation/sensors/short-period-sensors/l-22-sp-sensor">https://www.passcal.nmt.edu/content/instrumentation/sensors/short-period-sensors/l-22-sp-sensor</a></li>
</ul>
</div>
</div>
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</div>
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<div id="outline-container-org0011c20" class="outline-3">
<h3 id="org0011c20"><span class="section-number-3">5.2</span> Accelerometers</h3>
<div class="outline-text-3" id="text-5-2">
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</div>
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<div id="outline-container-orgadd6a99" class="outline-4">
<h4 id="orgadd6a99"><span class="section-number-4">5.2.1</span> Pieozoelectric acc. 356b18 - 3 axis</h4>
<div class="outline-text-4" id="text-5-2-1">
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<ul class="org-ul">
<li><a href="https://www.pcbpiezotronics.fr/produit/accelerometres/356b18/">https://www.pcbpiezotronics.fr/produit/accelerometres/356b18/</a></li>
<li><a href="files/356B18_G.pdf">Data Sheet</a>.</li>
</ul>
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<div id="orgbd19879" class="figure">
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<p><img src="./figs/356b18.jpg" alt="356b18.jpg" />
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</p>
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<p><span class="figure-number">Figure 5: </span>Pieozoelectric acc. 356b18 - 3 axis</p>
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</div>
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<table id="org6891936" border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
<caption class="t-above"><span class="table-number">Table 3:</span> 356b18 Parameters</caption>
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<colgroup>
<col class="org-left" />
<col class="org-left" />
</colgroup>
<tbody>
<tr>
<td class="org-left">Sensitivity</td>
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<td class="org-left">0.102 \(V/(m/s^2)\)</td>
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</tr>
<tr>
<td class="org-left">Measurement Range</td>
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<td class="org-left">4.9 \(m/s^2\) pk</td>
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</tr>
<tr>
<td class="org-left">Frequency Range</td>
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<td class="org-left">0.5 to 3000 Hz</td>
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</tr>
<tr>
<td class="org-left">resonant frequency</td>
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<td class="org-left">&gt; 20000 hz</td>
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</tr>
<tr>
<td class="org-left">broadband resolution</td>
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<td class="org-left">0.0005 \(m/s^2\) rms</td>
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</tr>
</tbody>
</table>
</div>
</div>
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<div id="outline-container-org1d721b4" class="outline-4">
<h4 id="org1d721b4"><span class="section-number-4">5.2.2</span> Ceramic acc. 393B05 - 1 axis</h4>
<div class="outline-text-4" id="text-5-2-2">
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<ul class="org-ul">
<li><a href="http://www.pcb.com/products.aspx?m=393B05">http://www.pcb.com/products.aspx?m=393B05</a></li>
<li><a href="files/393B05_K.pdf">Data Sheet</a>.</li>
</ul>
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<div id="orgb9333e5" class="figure">
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<p><img src="./figs/393b05.jpg" alt="393b05.jpg" />
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</p>
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<p><span class="figure-number">Figure 6: </span>Ceramic acc. 393B05 - 1 axis</p>
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</div>
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<table id="orgde2094e" border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
<caption class="t-above"><span class="table-number">Table 4:</span> 393B05 Parameters</caption>
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<colgroup>
<col class="org-left" />
<col class="org-left" />
</colgroup>
<tbody>
<tr>
<td class="org-left">Sensitivity (±10 %)</td>
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<td class="org-left">1.02 \(V/(m/s^2)\)</td>
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</tr>
<tr>
<td class="org-left">Measurement Range</td>
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<td class="org-left">4.9 \(m/s^2\) pk</td>
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</tr>
<tr>
<td class="org-left">Frequency Range (±5 %)</td>
<td class="org-left">0.7 to 450 Hz</td>
</tr>
<tr>
<td class="org-left">resonant frequency</td>
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<td class="org-left">&gt; 2500 hz</td>
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</tr>
<tr>
<td class="org-left">broadband resolution</td>
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<td class="org-left">0.00004 \(m/s^2\) rms</td>
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</tr>
</tbody>
</table>
</div>
</div>
</div>
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<div id="outline-container-org72ba891" class="outline-3">
<h3 id="org72ba891"><span class="section-number-3">5.3</span> Modal analysis</h3>
<div class="outline-text-3" id="text-5-3">
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<p>
<a href="http://www.oros.com/3900-oros-modal-2.htm">http://www.oros.com/3900-oros-modal-2.htm</a>
</p>
</div>
</div>
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</div>
</div>
<div id="postamble" class="status">
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<p class="author">Author: Dehaeze Thomas</p>
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<p class="date">Created: 2020-11-12 jeu. 10:27</p>
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</div>
</body>
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