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<h1 class="title">Equipment</h1>
<div id="table-of-contents">
<h2>Table of Contents</h2>
<div id="text-table-of-contents">
<ul>
<li><a href="#org6c1796a">1. Sensors</a>
<ul>
<li><a href="#orgd0dcf6f">1.1. Inertial Sensor</a>
<ul>
<li><a href="#org4174b49">1.1.1. Accelerometers</a></li>
<li><a href="#org3b071e0">1.1.2. Geophones</a></li>
</ul>
</li>
<li><a href="#org214ec8b">1.2. Force Sensors</a></li>
<li><a href="#org87c8358">1.3. Position Sensor</a>
<ul>
<li><a href="#org2450974">1.3.1. Strain Gauge</a></li>
<li><a href="#org4802a8a">1.3.2. Capacitive Sensor</a></li>
<li><a href="#org6f7a290">1.3.3. Inductive Sensor (Eddy Current)</a></li>
<li><a href="#org89b7324">1.3.4. Inductive Sensor (LVDT)</a></li>
<li><a href="#org8583557">1.3.5. Interferometers</a></li>
<li><a href="#org953b58e">1.3.6. Fiber Optic Displacement Sensor</a></li>
</ul>
</li>
<li><a href="#orgab5b892">1.4. Bibliography</a></li>
</ul>
</li>
<li><a href="#org2e1095a">2. Actuators</a>
<ul>
<li><a href="#org8003d2c">2.1. Piezoelectric</a></li>
<li><a href="#org587977f">2.2. Voice Coil</a></li>
<li><a href="#orgcec8d60">2.3. Shaker</a></li>
<li><a href="#org966432f">2.4. Brushless DC Motor</a></li>
</ul>
</li>
<li><a href="#org1aaed2e">3. Measurement System / Acquisition System</a>
<ul>
<li><a href="#org70ec9f1">3.1. Modal Analysis</a></li>
</ul>
</li>
<li><a href="#orgf970c0b">4. Control System</a></li>
<li><a href="#orga588978">5. Positioning Stages</a>
<ul>
<li><a href="#org4fbdb20">5.1. Hexapods</a></li>
<li><a href="#org0362b3b">5.2. Translation/Rotation Stage</a></li>
</ul>
</li>
<li><a href="#org62cbd51">6. Amplifiers</a>
<ul>
<li><a href="#org6604d60">6.1. Current Amplifiers</a></li>
<li><a href="#org9bb02fd">6.2. Voltage Amplifiers</a></li>
</ul>
</li>
<li><a href="#org7ca93e4">7. ESRF Equipment</a>
<ul>
<li><a href="#orgbc6c524">7.1. Geophones</a>
<ul>
<li><a href="#orgda69b15">7.1.1. L-28LB</a></li>
<li><a href="#org4fd8a0b">7.1.2. L-4C</a></li>
<li><a href="#org6389bc1">7.1.3. L-22</a></li>
</ul>
</li>
<li><a href="#orga077f0f">7.2. Accelerometers</a>
<ul>
<li><a href="#org6192df5">7.2.1. Pieozoelectric acc. 356b18 - 3 axis</a></li>
<li><a href="#orgfdcfae4">7.2.2. Ceramic acc. 393B05 - 1 axis</a></li>
</ul>
</li>
<li><a href="#org7dfd1b1">7.3. Modal analysis</a></li>
</ul>
</li>
</ul>
</div>
</div>
<div id="outline-container-org6c1796a" class="outline-2">
<h2 id="org6c1796a"><span class="section-number-2">1</span> Sensors</h2>
<div class="outline-text-2" id="text-1">
</div>
<div id="outline-container-orgd0dcf6f" class="outline-3">
<h3 id="orgd0dcf6f"><span class="section-number-3">1.1</span> Inertial Sensor</h3>
<div class="outline-text-3" id="text-1-1">
</div>
<div id="outline-container-org4174b49" class="outline-4">
<h4 id="org4174b49"><span class="section-number-4">1.1.1</span> Accelerometers</h4>
<div class="outline-text-4" id="text-1-1-1">
<ul class="org-ul">
<li><a href="https://micromega-dynamics.com/products/">https://micromega-dynamics.com/products/</a></li>
<li><a href="https://www.mmf.de/seismic_accelerometers.htm">https://www.mmf.de/seismic_accelerometers.htm</a></li>
<li><a href="https://www.pcb.com/products/productfinder.aspx?tx=14">https://www.pcb.com/products/productfinder.aspx?tx=14</a></li>
</ul>
<p>
Wireless Accelerometers
</p>
<ul class="org-ul">
<li><a href="https://micromega-dynamics.com/products/recovib/miniature-vibration-recorder/">https://micromega-dynamics.com/products/recovib/miniature-vibration-recorder/</a></li>
</ul>
<div id="org6e2df4b" class="figure">
<p><img src="figs/characteristics_accelerometers.png" alt="characteristics_accelerometers.png" />
</p>
<p><span class="figure-number">Figure 1: </span>Characteristics of commercially available accelerometers cite:collette11<sub>review</sub></p>
</div>
</div>
</div>
<div id="outline-container-org3b071e0" class="outline-4">
<h4 id="org3b071e0"><span class="section-number-4">1.1.2</span> Geophones</h4>
<div class="outline-text-4" id="text-1-1-2">
<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="https://wilcoxon.com/">https://wilcoxon.com/</a></li>
</ul>
<div id="orgd6a50c4" class="figure">
<p><img src="figs/characteristics_geophone.png" alt="characteristics_geophone.png" />
</p>
<p><span class="figure-number">Figure 2: </span>Characteristics of commercially available geophones cite:collette11<sub>review</sub></p>
</div>
</div>
</div>
</div>
<div id="outline-container-org214ec8b" class="outline-3">
<h3 id="org214ec8b"><span class="section-number-3">1.2</span> Force Sensors</h3>
<div class="outline-text-3" id="text-1-2">
<ul class="org-ul">
<li><a href="https://www.pcb.com/products/productfinder.aspx?tx=17">https://www.pcb.com/products/productfinder.aspx?tx=17</a></li>
</ul>
</div>
</div>
<div id="outline-container-org87c8358" class="outline-3">
<h3 id="org87c8358"><span class="section-number-3">1.3</span> Position Sensor</h3>
<div class="outline-text-3" id="text-1-3">
<div id="orgcaf1881" class="figure">
<p><img src="figs/characteristics_relative_sensor.png" alt="characteristics_relative_sensor.png" />
</p>
<p><span class="figure-number">Figure 3: </span>Characteristics of relative measurement sensors cite:collette11<sub>review</sub></p>
</div>
<div id="org97c62ea" class="figure">
<p><img src="figs/position_sensor_characteristics.png" alt="position_sensor_characteristics.png" />
</p>
<p><span class="figure-number">Figure 4: </span>Position sensor characteristics cite:fleming13<sub>review</sub><sub>nanom</sub><sub>resol</sub><sub>posit</sub><sub>sensor</sub></p>
</div>
</div>
<div id="outline-container-org2450974" class="outline-4">
<h4 id="org2450974"><span class="section-number-4">1.3.1</span> Strain Gauge</h4>
</div>
<div id="outline-container-org4802a8a" class="outline-4">
<h4 id="org4802a8a"><span class="section-number-4">1.3.2</span> Capacitive Sensor</h4>
<div class="outline-text-4" id="text-1-3-2">
<p>
Description:
</p>
<ul class="org-ul">
<li><a href="http://www.lionprecision.com/tech-library/technotes/cap-0020-sensor-theory.html">http://www.lionprecision.com/tech-library/technotes/cap-0020-sensor-theory.html</a></li>
<li><a href="https://www.lionprecision.com/comparing-capacitive-and-eddy-current-sensors">https://www.lionprecision.com/comparing-capacitive-and-eddy-current-sensors</a></li>
</ul>
<p>
Suppliers:
</p>
<ul class="org-ul">
<li><a href="http://www.microsense.net/products-position-sensors.htm">http://www.microsense.net/products-position-sensors.htm</a></li>
<li><a href="https://www.micro-epsilon.com/displacement-position-sensors/capacitive-sensor/">https://www.micro-epsilon.com/displacement-position-sensors/capacitive-sensor/</a></li>
<li><a href="https://www.physikinstrumente.com/en/technology/sensor-technologies/capacitive-sensors/">https://www.physikinstrumente.com/en/technology/sensor-technologies/capacitive-sensors/</a></li>
<li><a href="https://www.unipulse.com/product/ps-ia/">https://www.unipulse.com/product/ps-ia/</a></li>
<li><a href="https://www.lionprecision.com/products/capacitive-sensors">https://www.lionprecision.com/products/capacitive-sensors</a></li>
</ul>
</div>
</div>
<div id="outline-container-org6f7a290" class="outline-4">
<h4 id="org6f7a290"><span class="section-number-4">1.3.3</span> Inductive Sensor (Eddy Current)</h4>
<div class="outline-text-4" id="text-1-3-3">
<ul class="org-ul">
<li><a href="https://www.micro-epsilon.com/displacement-position-sensors/eddy-current-sensor/">https://www.micro-epsilon.com/displacement-position-sensors/eddy-current-sensor/</a></li>
<li><a href="https://www.lionprecision.com/products/eddy-current-sensors">https://www.lionprecision.com/products/eddy-current-sensors</a></li>
</ul>
</div>
</div>
<div id="outline-container-org89b7324" class="outline-4">
<h4 id="org89b7324"><span class="section-number-4">1.3.4</span> Inductive Sensor (LVDT)</h4>
<div class="outline-text-4" id="text-1-3-4">
<ul class="org-ul">
<li><a href="https://www.micro-epsilon.com/displacement-position-sensors/inductive-sensor-lvdt/">https://www.micro-epsilon.com/displacement-position-sensors/inductive-sensor-lvdt/</a></li>
<li><a href="https://www.keyence.eu/products/measure/contact-distance-lvdt/gt2/index.jsp">https://www.keyence.eu/products/measure/contact-distance-lvdt/gt2/index.jsp</a></li>
</ul>
</div>
</div>
<div id="outline-container-org8583557" class="outline-4">
<h4 id="org8583557"><span class="section-number-4">1.3.5</span> Interferometers</h4>
<div class="outline-text-4" id="text-1-3-5">
<ul class="org-ul">
<li><a href="http://www.attocube.com/">http://www.attocube.com/</a></li>
<li><a href="https://www.zygo.com/?/met/markets/stageposition/zmi/">https://www.zygo.com/?/met/markets/stageposition/zmi/</a></li>
<li><a href="https://www.smaract.com/interferometry">https://www.smaract.com/interferometry</a></li>
<li><a href="https://www.qutools.com/qudis/">https://www.qutools.com/qudis/</a></li>
<li><a href="https://www.renishaw.com/en/fibre-optic-laser-encoder-products--6594">https://www.renishaw.com/en/fibre-optic-laser-encoder-products--6594</a></li>
<li><a href="https://sios-de.com/products/length-measurement/laser-interferometer/">https://sios-de.com/products/length-measurement/laser-interferometer/</a></li>
<li><a href="https://www.keysight.com/en/pc-1000000393%3Aepsg%3Apgr/laser-heads?nid=-536900395.0&amp;cc=FR&amp;lc=fre">https://www.keysight.com/en/pc-1000000393%3Aepsg%3Apgr/laser-heads?nid=-536900395.0&amp;cc=FR&amp;lc=fre</a></li>
</ul>
<p>
Environmental Units:
</p>
<table border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
<colgroup>
<col class="org-left" />
<col class="org-right" />
<col class="org-right" />
<col class="org-right" />
<col class="org-right" />
</colgroup>
<thead>
<tr>
<th scope="col" class="org-left">&#xa0;</th>
<th scope="col" class="org-right">Temperature (\(\pm\ ^oC\))</th>
<th scope="col" class="org-right">Pressure (\(\pm\ hPa\))</th>
<th scope="col" class="org-right">Humidity \(\pm\ \% RH\)</th>
<th scope="col" class="org-right">Wavelength Accuracy (\(\pm\ \text{ppm}\))</th>
</tr>
</thead>
<tbody>
<tr>
<td class="org-left">Attocube</td>
<td class="org-right">0.1</td>
<td class="org-right">1</td>
<td class="org-right">2</td>
<td class="org-right">0.5</td>
</tr>
<tr>
<td class="org-left">Renishaw</td>
<td class="org-right">0.2</td>
<td class="org-right">1</td>
<td class="org-right">6</td>
<td class="org-right">1</td>
</tr>
<tr>
<td class="org-left">Picoscale</td>
<td class="org-right">0.2</td>
<td class="org-right">2</td>
<td class="org-right">2</td>
<td class="org-right">1</td>
</tr>
</tbody>
</table>
<div id="org8ac368b" class="figure">
<p><img src="figs/interferometer_precision.png" alt="interferometer_precision.png" />
</p>
<p><span class="figure-number">Figure 5: </span>Expected precision of interferometer as a function of measured distance. Taken from cite:jang17<sub>compen</sub><sub>refrac</sub><sub>index</sub><sub>air</sub><sub>laser</sub></p>
</div>
</div>
</div>
<div id="outline-container-org953b58e" class="outline-4">
<h4 id="org953b58e"><span class="section-number-4">1.3.6</span> Fiber Optic Displacement Sensor</h4>
<div class="outline-text-4" id="text-1-3-6">
<ul class="org-ul">
<li><a href="https://www.unipulse.com/product/atw200-2/">https://www.unipulse.com/product/atw200-2/</a></li>
</ul>
</div>
</div>
</div>
<div id="outline-container-orgab5b892" class="outline-3">
<h3 id="orgab5b892"><span class="section-number-3">1.4</span> Bibliography</h3>
<div class="outline-text-3" id="text-1-4">
<p>
cite:collette12<sub>compar</sub>
cite:collette12<sub>review</sub>
cite:fleming13<sub>review</sub><sub>nanom</sub><sub>resol</sub><sub>posit</sub><sub>sensor</sub>
</p>
</div>
</div>
</div>
<div id="outline-container-org2e1095a" class="outline-2">
<h2 id="org2e1095a"><span class="section-number-2">2</span> Actuators</h2>
<div class="outline-text-2" id="text-2">
</div>
<div id="outline-container-org8003d2c" class="outline-3">
<h3 id="org8003d2c"><span class="section-number-3">2.1</span> Piezoelectric</h3>
<div class="outline-text-3" id="text-2-1">
<ul class="org-ul">
<li><a href="http://www.cedrat-technologies.com/">http://www.cedrat-technologies.com/</a></li>
<li><a href="https://www.physikinstrumente.com/en/">https://www.physikinstrumente.com/en/</a></li>
<li><a href="https://www.piezosystem.com/">https://www.piezosystem.com/</a></li>
<li><a href="http://www.noliac.com/">http://www.noliac.com/</a></li>
<li><a href="https://www.piezosystem.com/products/piezo_actuators/stacktypeactuators/">https://www.piezosystem.com/products/piezo_actuators/stacktypeactuators/</a></li>
</ul>
</div>
</div>
<div id="outline-container-org587977f" class="outline-3">
<h3 id="org587977f"><span class="section-number-3">2.2</span> Voice Coil</h3>
<div class="outline-text-3" id="text-2-2">
<ul class="org-ul">
<li><a href="https://www.geeplus.com/">https://www.geeplus.com/</a></li>
<li><a href="https://www.maccon.de/en.html">https://www.maccon.de/en.html</a></li>
<li><a href="https://www.tds-pp.com/en/">https://www.tds-pp.com/en/</a></li>
<li><a href="https://www.h2wtech.com/">https://www.h2wtech.com/</a></li>
<li><a href="http://www.pbasystems.com.sg/">http://www.pbasystems.com.sg/</a></li>
<li><a href="https://www.celeramotion.com/">https://www.celeramotion.com/</a></li>
<li><a href="http://www.beikimco.com/">http://www.beikimco.com/</a></li>
<li><a href="https://www.electromate.com/">https://www.electromate.com/</a></li>
<li><a href="https://www.magneticinnovations.com/">https://www.magneticinnovations.com/</a>: Netherlands</li>
</ul>
</div>
</div>
<div id="outline-container-orgcec8d60" class="outline-3">
<h3 id="orgcec8d60"><span class="section-number-3">2.3</span> Shaker</h3>
<div class="outline-text-3" id="text-2-3">
<ul class="org-ul">
<li><a href="https://www.bksv.com/en/products/shakers-and-exciters">https://www.bksv.com/en/products/shakers-and-exciters</a></li>
<li><a href="https://vibrationresearch.com/shakers/">https://vibrationresearch.com/shakers/</a></li>
<li><a href="https://www.sentekdynamics.com/">https://www.sentekdynamics.com/</a></li>
</ul>
<p>
<a href="https://www.bksv.com/en/products/shakers-and-exciters/LDS-shaker-systems/permanent-magnet-shakers/V201">https://www.bksv.com/en/products/shakers-and-exciters/LDS-shaker-systems/permanent-magnet-shakers/V201</a>
</p>
</div>
</div>
<div id="outline-container-org966432f" class="outline-3">
<h3 id="org966432f"><span class="section-number-3">2.4</span> Brushless DC Motor</h3>
<div class="outline-text-3" id="text-2-4">
<p>
cite:yedamale03<sub>brush</sub><sub>dc</sub><sub>bldc</sub><sub>motor</sub><sub>fundam</sub>
</p>
<p>
<a href="https://www.electricaltechnology.org/2016/05/bldc-brushless-dc-motor-construction-working-principle.html">https://www.electricaltechnology.org/2016/05/bldc-brushless-dc-motor-construction-working-principle.html</a>
</p>
</div>
</div>
</div>
<div id="outline-container-org1aaed2e" class="outline-2">
<h2 id="org1aaed2e"><span class="section-number-2">3</span> Measurement System / Acquisition System</h2>
<div class="outline-text-2" id="text-3">
</div>
<div id="outline-container-org70ec9f1" class="outline-3">
<h3 id="org70ec9f1"><span class="section-number-3">3.1</span> Modal Analysis</h3>
<div class="outline-text-3" id="text-3-1">
<p>
<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>
</p>
</div>
</div>
</div>
<div id="outline-container-orgf970c0b" class="outline-2">
<h2 id="orgf970c0b"><span class="section-number-2">4</span> Control System</h2>
<div class="outline-text-2" id="text-4">
<p>
Dspace, Speedgoat
</p>
</div>
</div>
<div id="outline-container-orga588978" class="outline-2">
<h2 id="orga588978"><span class="section-number-2">5</span> Positioning Stages</h2>
<div class="outline-text-2" id="text-5">
</div>
<div id="outline-container-org4fbdb20" class="outline-3">
<h3 id="org4fbdb20"><span class="section-number-3">5.1</span> Hexapods</h3>
<div class="outline-text-3" id="text-5-1">
<ul class="org-ul">
<li><a href="https://www.alioindustries.com/">https://www.alioindustries.com/</a></li>
<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>
</ul>
</div>
</div>
<div id="outline-container-org0362b3b" class="outline-3">
<h3 id="org0362b3b"><span class="section-number-3">5.2</span> Translation/Rotation Stage</h3>
<div class="outline-text-3" id="text-5-2">
<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>
<li><a href="https://www.aerotech.com/">https://www.aerotech.com/</a></li>
<li><a href="https://www.etel.ch/">https://www.etel.ch/</a></li>
</ul>
</div>
</div>
</div>
<div id="outline-container-org62cbd51" class="outline-2">
<h2 id="org62cbd51"><span class="section-number-2">6</span> Amplifiers</h2>
<div class="outline-text-2" id="text-6">
</div>
<div id="outline-container-org6604d60" class="outline-3">
<h3 id="org6604d60"><span class="section-number-3">6.1</span> Current Amplifiers</h3>
</div>
<div id="outline-container-org9bb02fd" class="outline-3">
<h3 id="org9bb02fd"><span class="section-number-3">6.2</span> Voltage Amplifiers</h3>
</div>
</div>
<div id="outline-container-org7ca93e4" class="outline-2">
<h2 id="org7ca93e4"><span class="section-number-2">7</span> ESRF Equipment</h2>
<div class="outline-text-2" id="text-7">
</div>
<div id="outline-container-orgbc6c524" class="outline-3">
<h3 id="orgbc6c524"><span class="section-number-3">7.1</span> Geophones</h3>
<div class="outline-text-3" id="text-7-1">
</div>
<div id="outline-container-orgda69b15" class="outline-4">
<h4 id="orgda69b15"><span class="section-number-4">7.1.1</span> L-28LB</h4>
<div class="outline-text-4" id="text-7-1-1">
<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>
<div id="orgbe7f4ca" class="figure">
<p><img src="./figs/L28LB.png" alt="L28LB.png" />
</p>
<p><span class="figure-number">Figure 6: </span>Picture of the L-28LB Geophone</p>
</div>
<table id="org0c2c33f" 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>
<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>
<p>
We define the parameters of the geophone and we plot its bode plot (figure <a href="#orgd053ba3">7</a>).
</p>
<div class="org-src-container">
<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);
</pre>
</div>
<div id="orgd053ba3" class="figure">
<p><img src="figs/L28LB_bode_plot.png" alt="L28LB_bode_plot.png" />
</p>
<p><span class="figure-number">Figure 7: </span>Bode plot of the L-28LB Geophone</p>
</div>
</div>
</div>
<div id="outline-container-org4fd8a0b" class="outline-4">
<h4 id="org4fd8a0b"><span class="section-number-4">7.1.2</span> L-4C</h4>
<div class="outline-text-4" id="text-7-1-2">
<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>
<div id="org67b81e3" class="figure">
<p><img src="./figs/L4C.png" alt="L4C.png" />
</p>
<p><span class="figure-number">Figure 8: </span>Picture of the L-4C Geophone</p>
</div>
<table id="org04f3ae7" border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
<caption class="t-above"><span class="table-number">Table 2:</span> L4C Parameters</caption>
<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>
<p>
The transfer function from the velocity and the measured voltage is defined below.
</p>
<p>
Its bode plot is shown on figure <a href="#orgdd67363">9</a>.
</p>
<div class="org-src-container">
<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);
</pre>
</div>
<div id="orgdd67363" class="figure">
<p><img src="figs/L4C_bode_plot.png" alt="L4C_bode_plot.png" />
</p>
<p><span class="figure-number">Figure 9: </span>Bode plot of the L4C Geophone</p>
</div>
</div>
</div>
<div id="outline-container-org6389bc1" class="outline-4">
<h4 id="org6389bc1"><span class="section-number-4">7.1.3</span> L-22</h4>
<div class="outline-text-4" id="text-7-1-3">
<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>
</div>
<div id="outline-container-orga077f0f" class="outline-3">
<h3 id="orga077f0f"><span class="section-number-3">7.2</span> Accelerometers</h3>
<div class="outline-text-3" id="text-7-2">
</div>
<div id="outline-container-org6192df5" class="outline-4">
<h4 id="org6192df5"><span class="section-number-4">7.2.1</span> Pieozoelectric acc. 356b18 - 3 axis</h4>
<div class="outline-text-4" id="text-7-2-1">
<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>
<div id="org1c29d65" class="figure">
<p><img src="./figs/356b18.jpg" alt="356b18.jpg" />
</p>
<p><span class="figure-number">Figure 10: </span>Pieozoelectric acc. 356b18 - 3 axis</p>
</div>
<table id="orga681b85" border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
<caption class="t-above"><span class="table-number">Table 3:</span> 356b18 Parameters</caption>
<colgroup>
<col class="org-left" />
<col class="org-left" />
</colgroup>
<tbody>
<tr>
<td class="org-left">Sensitivity</td>
<td class="org-left">0.102 \(V/(m/s^2)\)</td>
</tr>
<tr>
<td class="org-left">Measurement Range</td>
<td class="org-left">4.9 \(m/s^2\) pk</td>
</tr>
<tr>
<td class="org-left">Frequency Range</td>
<td class="org-left">0.5 to 3000 Hz</td>
</tr>
<tr>
<td class="org-left">resonant frequency</td>
<td class="org-left">&gt; 20000 hz</td>
</tr>
<tr>
<td class="org-left">broadband resolution</td>
<td class="org-left">0.0005 \(m/s^2\) rms</td>
</tr>
</tbody>
</table>
</div>
</div>
<div id="outline-container-orgfdcfae4" class="outline-4">
<h4 id="orgfdcfae4"><span class="section-number-4">7.2.2</span> Ceramic acc. 393B05 - 1 axis</h4>
<div class="outline-text-4" id="text-7-2-2">
<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>
<div id="orgc657fb7" class="figure">
<p><img src="./figs/393b05.jpg" alt="393b05.jpg" />
</p>
<p><span class="figure-number">Figure 11: </span>Ceramic acc. 393B05 - 1 axis</p>
</div>
<table id="org78f022a" border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
<caption class="t-above"><span class="table-number">Table 4:</span> 393B05 Parameters</caption>
<colgroup>
<col class="org-left" />
<col class="org-left" />
</colgroup>
<tbody>
<tr>
<td class="org-left">Sensitivity (±10 %)</td>
<td class="org-left">1.02 \(V/(m/s^2)\)</td>
</tr>
<tr>
<td class="org-left">Measurement Range</td>
<td class="org-left">4.9 \(m/s^2\) pk</td>
</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>
<td class="org-left">&gt; 2500 hz</td>
</tr>
<tr>
<td class="org-left">broadband resolution</td>
<td class="org-left">0.00004 \(m/s^2\) rms</td>
</tr>
</tbody>
</table>
</div>
</div>
</div>
<div id="outline-container-org7dfd1b1" class="outline-3">
<h3 id="org7dfd1b1"><span class="section-number-3">7.3</span> Modal analysis</h3>
<div class="outline-text-3" id="text-7-3">
<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>
</div>
</div>
<div id="postamble" class="status">
<p class="author">Author: Dehaeze Thomas</p>
<p class="date">Created: 2020-02-04 mar. 16:53</p>
</div>
</body>
</html>