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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="#orgc19630d">1. Geophones</a>
<ul>
<li>
<ul>
<li><a href="#orge2b612a">1.0.1. L-28LB</a></li>
<li><a href="#orgb5de080">1.0.2. L-4C</a></li>
<li><a href="#orga947ef6">1.0.3. L-22</a></li>
</ul>
</li>
</ul>
</li>
<li><a href="#orgc204c4f">2. Accelerometers</a>
<ul>
<li>
<ul>
<li><a href="#orge6637e2">2.0.1. Pieozoelectric acc. 356b18 - 3 axis</a></li>
<li><a href="#org6593c04">2.0.2. Ceramic acc. 393B05 - 1 axis</a></li>
</ul>
</li>
</ul>
</li>
<li><a href="#orgbec3a31">3. Modal analysis</a></li>
</ul>
</div>
</div>
<div id="outline-container-orgc19630d" class="outline-2">
<h2 id="orgc19630d"><span class="section-number-2">1</span> Geophones</h2>
<div class="outline-text-2" id="text-1">
</div>
<div id="outline-container-orge2b612a" class="outline-4">
<h4 id="orge2b612a"><span class="section-number-4">1.0.1</span> L-28LB</h4>
<div class="outline-text-4" id="text-1-0-1">
<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="org1bf9371" class="figure">
<p><img src="./figs/L28LB.png" alt="L28LB.png" />
</p>
<p><span class="figure-number">Figure 1: </span>Picture of the L-28LB Geophone</p>
</div>
<table id="orge9ea8d7" 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="#org3455372">2</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="org3455372" class="figure">
<p><img src="figs/L28LB_bode_plot.png" alt="L28LB_bode_plot.png" />
</p>
<p><span class="figure-number">Figure 2: </span>Bode plot of the L-28LB Geophone</p>
</div>
</div>
</div>
<div id="outline-container-orgb5de080" class="outline-4">
<h4 id="orgb5de080"><span class="section-number-4">1.0.2</span> L-4C</h4>
<div class="outline-text-4" id="text-1-0-2">
<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="org96ab15a" class="figure">
<p><img src="./figs/L4C.png" alt="L4C.png" />
</p>
<p><span class="figure-number">Figure 3: </span>Picture of the L-4C Geophone</p>
</div>
<table id="orgda25c82" 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="#orgc2818ea">4</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="orgc2818ea" class="figure">
<p><img src="figs/L4C_bode_plot.png" alt="L4C_bode_plot.png" />
</p>
<p><span class="figure-number">Figure 4: </span>Bode plot of the L4C Geophone</p>
</div>
</div>
</div>
<div id="outline-container-orga947ef6" class="outline-4">
<h4 id="orga947ef6"><span class="section-number-4">1.0.3</span> L-22</h4>
<div class="outline-text-4" id="text-1-0-3">
<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-orgc204c4f" class="outline-2">
<h2 id="orgc204c4f"><span class="section-number-2">2</span> Accelerometers</h2>
<div class="outline-text-2" id="text-2">
</div>
<div id="outline-container-orge6637e2" class="outline-4">
<h4 id="orge6637e2"><span class="section-number-4">2.0.1</span> Pieozoelectric acc. 356b18 - 3 axis</h4>
<div class="outline-text-4" id="text-2-0-1">
<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="org6b63845" class="figure">
<p><img src="./figs/356b18.jpg" alt="356b18.jpg" />
</p>
<p><span class="figure-number">Figure 5: </span>Pieozoelectric acc. 356b18 - 3 axis</p>
</div>
<table id="org5d046ee" 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">> 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-org6593c04" class="outline-4">
<h4 id="org6593c04"><span class="section-number-4">2.0.2</span> Ceramic acc. 393B05 - 1 axis</h4>
<div class="outline-text-4" id="text-2-0-2">
<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="orgcb89472" class="figure">
<p><img src="./figs/393b05.jpg" alt="393b05.jpg" />
</p>
<p><span class="figure-number">Figure 6: </span>Ceramic acc. 393B05 - 1 axis</p>
</div>
<table id="orgc7127ce" 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">> 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-orgbec3a31" class="outline-2">
<h2 id="orgbec3a31"><span class="section-number-2">3</span> Modal analysis</h2>
<div class="outline-text-2" id="text-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 id="postamble" class="status">
<p class="author">Author: Dehaeze Thomas</p>
<p class="date">Created: 2020-11-24 mar. 17:41</p>
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