Add link back to main page
This commit is contained in:
@@ -3,7 +3,7 @@
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"http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd">
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<html xmlns="http://www.w3.org/1999/xhtml" lang="en" xml:lang="en">
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<head>
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<!-- 2019-03-14 jeu. 11:54 -->
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<!-- 2019-03-15 ven. 11:41 -->
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<meta http-equiv="Content-Type" content="text/html;charset=utf-8" />
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<meta name="viewport" content="width=device-width, initial-scale=1" />
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<title>Measurements</title>
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@@ -253,43 +253,47 @@ for the JavaScript code in this tag.
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<h2>Table of Contents</h2>
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<div id="text-table-of-contents">
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<ul>
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<li><a href="#orgd454c8a">1. Experimental conditions</a></li>
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<li><a href="#orgb822802">2. Measurements procedure</a></li>
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<li><a href="#org99e9d56">3. Measurement Files</a></li>
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<li><a href="#orgc95ce23">4. Data Analysis</a>
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<li><a href="#orgd3daf9d">1. Experimental conditions</a></li>
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<li><a href="#org8c42f5c">2. Measurements procedure</a></li>
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<li><a href="#org06a1ec4">3. Measurement Files</a></li>
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<li><a href="#orgde26e79">4. Data Analysis</a>
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<ul>
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<li><a href="#orga76b51e">4.1. Loading of the data</a></li>
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<li><a href="#org820ac4d">4.2. Pre-processing of the data</a></li>
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<li><a href="#org4e99f9f">4.3. X-direction FRF</a></li>
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<li><a href="#orgda268c3">4.4. Y-direction FRF</a></li>
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<li><a href="#org13db41d">4.5. Z-direction FRF</a></li>
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<li><a href="#orgcf77a6c">4.1. Loading of the data</a></li>
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<li><a href="#org37cddb7">4.2. Pre-processing of the data</a></li>
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<li><a href="#orgb992ebc">4.3. X-direction FRF</a></li>
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<li><a href="#org65e3ece">4.4. Y-direction FRF</a></li>
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<li><a href="#org90e2e38">4.5. Z-direction FRF</a></li>
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</ul>
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</li>
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</ul>
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</div>
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</div>
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<div id="outline-container-orgd454c8a" class="outline-2">
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<h2 id="orgd454c8a"><span class="section-number-2">1</span> Experimental conditions</h2>
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<p>
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<a href="../index.html">Back to main page</a>.
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</p>
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<div id="outline-container-orgd3daf9d" class="outline-2">
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<h2 id="orgd3daf9d"><span class="section-number-2">1</span> Experimental conditions</h2>
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<div class="outline-text-2" id="text-1">
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<ul class="org-ul">
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<li>Measurement made in a metrology lab</li>
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<li>The granite is not glued to the floor</li>
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<li>The Y-Translation stage is powered and in closed-loop</li>
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<li>The spindle is not powered</li>
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<li>Mass is placed on top of the Hexapod (<b>how much?</b>) (figure <a href="#org977fe1e">1</a>).</li>
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<li>Mass is placed on top of the Hexapod (<b>how much?</b>) (figure <a href="#orge4311fc">1</a>).</li>
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<li>Made by Marc Lesourd on the 17th of November 2017</li>
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</ul>
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<div id="org977fe1e" class="figure">
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<div id="orge4311fc" class="figure">
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<p><img src="./figs/accelerometers.png" alt="accelerometers.png" />
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</p>
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<p><span class="figure-number">Figure 1: </span>Accelerometers position</p>
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</div>
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<div id="orgbf23216" class="figure">
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<div id="orgdc7cb0d" class="figure">
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<p><img src="./figs/instrumented_hammer.png" alt="instrumented_hammer.png" />
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</p>
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<p><span class="figure-number">Figure 2: </span>Instrumented Hammer used</p>
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@@ -297,11 +301,11 @@ for the JavaScript code in this tag.
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</div>
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</div>
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<div id="outline-container-orgb822802" class="outline-2">
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<h2 id="orgb822802"><span class="section-number-2">2</span> Measurements procedure</h2>
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<div id="outline-container-org8c42f5c" class="outline-2">
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<h2 id="org8c42f5c"><span class="section-number-2">2</span> Measurements procedure</h2>
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<div class="outline-text-2" id="text-2">
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<p>
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<b>3-axis Accelerometers</b> (specifications table <a href="#orgd6d0454">1</a>) are glued on (see figure <a href="#org977fe1e">1</a>):
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<b>3-axis Accelerometers</b> (specifications table <a href="#orgb286243">1</a>) are glued on (see figure <a href="#orge4311fc">1</a>):
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</p>
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<ul class="org-ul">
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<li>Marble</li>
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@@ -310,7 +314,7 @@ for the JavaScript code in this tag.
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<li>top of Hexapod</li>
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</ul>
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<table id="orgd6d0454" border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
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<table id="orgb286243" border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
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<caption class="t-above"><span class="table-number">Table 1:</span> Pieozoelectric acc. 356b18 - 3 axis</caption>
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<colgroup>
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@@ -347,7 +351,7 @@ for the JavaScript code in this tag.
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</table>
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<p>
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The structure is excited using an <b>instrumented hammer</b> with impacts on (see figure <a href="#orgbf23216">2</a>):
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The structure is excited using an <b>instrumented hammer</b> with impacts on (see figure <a href="#orgdc7cb0d">2</a>):
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</p>
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<ul class="org-ul">
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<li>Marble</li>
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@@ -356,8 +360,8 @@ The structure is excited using an <b>instrumented hammer</b> with impacts on (se
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</div>
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</div>
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<div id="outline-container-org99e9d56" class="outline-2">
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<h2 id="org99e9d56"><span class="section-number-2">3</span> Measurement Files</h2>
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<div id="outline-container-org06a1ec4" class="outline-2">
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<h2 id="org06a1ec4"><span class="section-number-2">3</span> Measurement Files</h2>
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<div class="outline-text-2" id="text-3">
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<p>
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Two measurements files are:
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@@ -366,7 +370,7 @@ Two measurements files are:
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<li><code>id31_microstation_2017_11_17_frf.mat</code> that contains:
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<ul class="org-ul">
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<li><code>freq_frf</code> the frequency vector in Hz</li>
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<li>Computed frequency response functions (see table <a href="#orgdcce96c">2</a>)</li>
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<li>Computed frequency response functions (see table <a href="#org3821552">2</a>)</li>
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</ul></li>
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<li><code>id31_microstation_2017_11_17_coh.mat</code>
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<ul class="org-ul">
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@@ -375,10 +379,10 @@ Two measurements files are:
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</ul>
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<p>
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For each of the measurement, the measured channels are shown on table <a href="#org8bc7496">3</a>.
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For each of the measurement, the measured channels are shown on table <a href="#orgedc361d">3</a>.
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</p>
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<table id="orgdcce96c" border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
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<table id="org3821552" border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
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<caption class="t-above"><span class="table-number">Table 2:</span> Description of the location of direction of the excitation for each measurement</caption>
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<colgroup>
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@@ -434,7 +438,7 @@ For each of the measurement, the measured channels are shown on table <a href="#
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</tbody>
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</table>
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<table id="org8bc7496" border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
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<table id="orgedc361d" border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
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<caption class="t-above"><span class="table-number">Table 3:</span> Description of each measurement channel</caption>
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<colgroup>
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@@ -550,63 +554,63 @@ For each of the measurement, the measured channels are shown on table <a href="#
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</div>
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</div>
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<div id="outline-container-orgc95ce23" class="outline-2">
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<h2 id="orgc95ce23"><span class="section-number-2">4</span> Data Analysis</h2>
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<div id="outline-container-orgde26e79" class="outline-2">
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<h2 id="orgde26e79"><span class="section-number-2">4</span> Data Analysis</h2>
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<div class="outline-text-2" id="text-4">
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</div>
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<div id="outline-container-orga76b51e" class="outline-3">
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<h3 id="orga76b51e"><span class="section-number-3">4.1</span> Loading of the data</h3>
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<div id="outline-container-orgcf77a6c" class="outline-3">
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<h3 id="orgcf77a6c"><span class="section-number-3">4.1</span> Loading of the data</h3>
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<div class="outline-text-3" id="text-4-1">
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<div class="org-src-container">
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<pre class="src src-matlab">load<span style="color: #707183;">(</span><span style="color: #008000;">'./raw_data/id31_microstation_2017_11_17_coh.mat'</span>,<span style="text-decoration: underline;">...</span>
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<span style="color: #008000;">'coh_hexa_x'</span>,<span style="text-decoration: underline;">...</span>
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<span style="color: #008000;">'coh_hexa_y'</span>,<span style="text-decoration: underline;">...</span>
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<span style="color: #008000;">'coh_hexa_z'</span>,<span style="text-decoration: underline;">...</span>
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<span style="color: #008000;">'coh_marble_x'</span>,<span style="text-decoration: underline;">...</span>
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<span style="color: #008000;">'coh_marble_y'</span>,<span style="text-decoration: underline;">...</span>
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<span style="color: #008000;">'coh_marble_z'</span><span style="color: #707183;">)</span>;
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<pre class="src src-matlab">load<span style="color: #DCDCCC;">(</span><span style="color: #CC9393;">'./raw_data/id31_microstation_2017_11_17_coh.mat'</span>,<span style="text-decoration: underline;">...</span>
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<span style="color: #CC9393;">'coh_hexa_x'</span>,<span style="text-decoration: underline;">...</span>
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<span style="color: #CC9393;">'coh_hexa_y'</span>,<span style="text-decoration: underline;">...</span>
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||||
<span style="color: #CC9393;">'coh_hexa_z'</span>,<span style="text-decoration: underline;">...</span>
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||||
<span style="color: #CC9393;">'coh_marble_x'</span>,<span style="text-decoration: underline;">...</span>
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||||
<span style="color: #CC9393;">'coh_marble_y'</span>,<span style="text-decoration: underline;">...</span>
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<span style="color: #CC9393;">'coh_marble_z'</span><span style="color: #DCDCCC;">)</span>;
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||||
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||||
load<span style="color: #707183;">(</span><span style="color: #008000;">'./raw_data/id31_microstation_2017_11_17_frf.mat'</span>,<span style="text-decoration: underline;">...</span>
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<span style="color: #008000;">'freq_frf'</span>,<span style="text-decoration: underline;">...</span>
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<span style="color: #008000;">'frf_hexa_x'</span>,<span style="text-decoration: underline;">...</span>
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||||
<span style="color: #008000;">'frf_hexa_y'</span>,<span style="text-decoration: underline;">...</span>
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||||
<span style="color: #008000;">'frf_hexa_z'</span>,<span style="text-decoration: underline;">...</span>
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||||
<span style="color: #008000;">'frf_marble_x'</span>,<span style="text-decoration: underline;">...</span>
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<span style="color: #008000;">'frf_marble_y'</span>,<span style="text-decoration: underline;">...</span>
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<span style="color: #008000;">'frf_marble_z'</span><span style="color: #707183;">)</span>;
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load<span style="color: #DCDCCC;">(</span><span style="color: #CC9393;">'./raw_data/id31_microstation_2017_11_17_frf.mat'</span>,<span style="text-decoration: underline;">...</span>
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<span style="color: #CC9393;">'freq_frf'</span>,<span style="text-decoration: underline;">...</span>
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<span style="color: #CC9393;">'frf_hexa_x'</span>,<span style="text-decoration: underline;">...</span>
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<span style="color: #CC9393;">'frf_hexa_y'</span>,<span style="text-decoration: underline;">...</span>
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<span style="color: #CC9393;">'frf_hexa_z'</span>,<span style="text-decoration: underline;">...</span>
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<span style="color: #CC9393;">'frf_marble_x'</span>,<span style="text-decoration: underline;">...</span>
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<span style="color: #CC9393;">'frf_marble_y'</span>,<span style="text-decoration: underline;">...</span>
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<span style="color: #CC9393;">'frf_marble_z'</span><span style="color: #DCDCCC;">)</span>;
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</pre>
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||||
</div>
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||||
</div>
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</div>
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<div id="outline-container-org820ac4d" class="outline-3">
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<h3 id="org820ac4d"><span class="section-number-3">4.2</span> Pre-processing of the data</h3>
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<div id="outline-container-org37cddb7" class="outline-3">
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<h3 id="org37cddb7"><span class="section-number-3">4.2</span> Pre-processing of the data</h3>
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<div class="outline-text-3" id="text-4-2">
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<p>
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The FRF data are scaled with the sensitivity of the accelerometer and integrated two times to have the displacement instead of the acceleration.
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</p>
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<div class="org-src-container">
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<pre class="src src-matlab">accel_sensitivity = <span style="color: #D0372D;">0</span>.<span style="color: #D0372D;">102</span>; <span style="color: #8D8D84; font-style: italic;">% [V/(m/s2)]</span>
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w = <span style="color: #D0372D;">j</span><span style="color: #6434A3;">*</span><span style="color: #D0372D;">2</span><span style="color: #6434A3;">*</span><span style="color: #D0372D;">pi</span><span style="color: #6434A3;">*</span>freq_frf; <span style="color: #8D8D84; font-style: italic;">% j.omega in [rad/s]</span>
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<pre class="src src-matlab">accel_sensitivity = <span style="color: #BFEBBF;">0</span>.<span style="color: #BFEBBF;">102</span>; <span style="color: #7F9F7F;">% [V/(m/s2)]</span>
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w = <span style="color: #BFEBBF;">j</span><span style="color: #7CB8BB;">*</span><span style="color: #BFEBBF;">2</span><span style="color: #7CB8BB;">*</span><span style="color: #BFEBBF;">pi</span><span style="color: #7CB8BB;">*</span>freq_frf; <span style="color: #7F9F7F;">% j.omega in [rad/s]</span>
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frf_hexa_x = <span style="color: #D0372D;">1</span><span style="color: #6434A3;">/</span>accel_sensitivity<span style="color: #6434A3;">*</span>frf_hexa_x<span style="color: #6434A3;">./</span><span style="color: #707183;">(</span>w<span style="color: #6434A3;">.^</span><span style="color: #D0372D;">2</span><span style="color: #707183;">)</span>;
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frf_hexa_y = <span style="color: #6434A3;">-</span><span style="color: #D0372D;">1</span><span style="color: #6434A3;">/</span>accel_sensitivity<span style="color: #6434A3;">*</span>frf_hexa_y<span style="color: #6434A3;">./</span><span style="color: #707183;">(</span>w<span style="color: #6434A3;">.^</span><span style="color: #D0372D;">2</span><span style="color: #707183;">)</span>;
|
||||
frf_hexa_z = <span style="color: #6434A3;">-</span><span style="color: #D0372D;">1</span><span style="color: #6434A3;">/</span>accel_sensitivity<span style="color: #6434A3;">*</span>frf_hexa_z<span style="color: #6434A3;">./</span><span style="color: #707183;">(</span>w<span style="color: #6434A3;">.^</span><span style="color: #D0372D;">2</span><span style="color: #707183;">)</span>;
|
||||
frf_hexa_x = <span style="color: #BFEBBF;">1</span><span style="color: #7CB8BB;">/</span>accel_sensitivity<span style="color: #7CB8BB;">*</span>frf_hexa_x<span style="color: #7CB8BB;">./</span><span style="color: #DCDCCC;">(</span>w<span style="color: #7CB8BB;">.^</span><span style="color: #BFEBBF;">2</span><span style="color: #DCDCCC;">)</span>;
|
||||
frf_hexa_y = <span style="color: #7CB8BB;">-</span><span style="color: #BFEBBF;">1</span><span style="color: #7CB8BB;">/</span>accel_sensitivity<span style="color: #7CB8BB;">*</span>frf_hexa_y<span style="color: #7CB8BB;">./</span><span style="color: #DCDCCC;">(</span>w<span style="color: #7CB8BB;">.^</span><span style="color: #BFEBBF;">2</span><span style="color: #DCDCCC;">)</span>;
|
||||
frf_hexa_z = <span style="color: #7CB8BB;">-</span><span style="color: #BFEBBF;">1</span><span style="color: #7CB8BB;">/</span>accel_sensitivity<span style="color: #7CB8BB;">*</span>frf_hexa_z<span style="color: #7CB8BB;">./</span><span style="color: #DCDCCC;">(</span>w<span style="color: #7CB8BB;">.^</span><span style="color: #BFEBBF;">2</span><span style="color: #DCDCCC;">)</span>;
|
||||
|
||||
frf_marble_x = <span style="color: #D0372D;">1</span><span style="color: #6434A3;">/</span>accel_sensitivity<span style="color: #6434A3;">*</span>frf_marble_x<span style="color: #6434A3;">./</span><span style="color: #707183;">(</span>w<span style="color: #6434A3;">.^</span><span style="color: #D0372D;">2</span><span style="color: #707183;">)</span>;
|
||||
frf_marble_y = <span style="color: #D0372D;">1</span><span style="color: #6434A3;">/</span>accel_sensitivity<span style="color: #6434A3;">*</span>frf_marble_y<span style="color: #6434A3;">./</span><span style="color: #707183;">(</span>w<span style="color: #6434A3;">.^</span><span style="color: #D0372D;">2</span><span style="color: #707183;">)</span>;
|
||||
frf_marble_z = <span style="color: #6434A3;">-</span><span style="color: #D0372D;">1</span><span style="color: #6434A3;">/</span>accel_sensitivity<span style="color: #6434A3;">*</span>frf_marble_z<span style="color: #6434A3;">./</span><span style="color: #707183;">(</span>w<span style="color: #6434A3;">.^</span><span style="color: #D0372D;">2</span><span style="color: #707183;">)</span>;
|
||||
frf_marble_x = <span style="color: #BFEBBF;">1</span><span style="color: #7CB8BB;">/</span>accel_sensitivity<span style="color: #7CB8BB;">*</span>frf_marble_x<span style="color: #7CB8BB;">./</span><span style="color: #DCDCCC;">(</span>w<span style="color: #7CB8BB;">.^</span><span style="color: #BFEBBF;">2</span><span style="color: #DCDCCC;">)</span>;
|
||||
frf_marble_y = <span style="color: #BFEBBF;">1</span><span style="color: #7CB8BB;">/</span>accel_sensitivity<span style="color: #7CB8BB;">*</span>frf_marble_y<span style="color: #7CB8BB;">./</span><span style="color: #DCDCCC;">(</span>w<span style="color: #7CB8BB;">.^</span><span style="color: #BFEBBF;">2</span><span style="color: #DCDCCC;">)</span>;
|
||||
frf_marble_z = <span style="color: #7CB8BB;">-</span><span style="color: #BFEBBF;">1</span><span style="color: #7CB8BB;">/</span>accel_sensitivity<span style="color: #7CB8BB;">*</span>frf_marble_z<span style="color: #7CB8BB;">./</span><span style="color: #DCDCCC;">(</span>w<span style="color: #7CB8BB;">.^</span><span style="color: #BFEBBF;">2</span><span style="color: #DCDCCC;">)</span>;
|
||||
</pre>
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-org4e99f9f" class="outline-3">
|
||||
<h3 id="org4e99f9f"><span class="section-number-3">4.3</span> X-direction FRF</h3>
|
||||
<div id="outline-container-orgb992ebc" class="outline-3">
|
||||
<h3 id="orgb992ebc"><span class="section-number-3">4.3</span> X-direction FRF</h3>
|
||||
<div class="outline-text-3" id="text-4-3">
|
||||
|
||||
<div id="org276857f" class="figure">
|
||||
<div id="orgf0fdcf7" class="figure">
|
||||
<p><img src="figs/marble_x_frf.png" alt="marble_x_frf.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 3: </span>Response to a force applied on the marble in the X direction</p>
|
||||
@@ -614,7 +618,7 @@ frf_marble_z = <span style="color: #6434A3;">-</span><span style="color: #D0372D
|
||||
|
||||
|
||||
|
||||
<div id="orgf0e10a5" class="figure">
|
||||
<div id="org8412b64" class="figure">
|
||||
<p><img src="figs/hexa_x_frf.png" alt="hexa_x_frf.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 4: </span>Response to a force applied on the hexa in the X direction</p>
|
||||
@@ -622,18 +626,18 @@ frf_marble_z = <span style="color: #6434A3;">-</span><span style="color: #D0372D
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-orgda268c3" class="outline-3">
|
||||
<h3 id="orgda268c3"><span class="section-number-3">4.4</span> Y-direction FRF</h3>
|
||||
<div id="outline-container-org65e3ece" class="outline-3">
|
||||
<h3 id="org65e3ece"><span class="section-number-3">4.4</span> Y-direction FRF</h3>
|
||||
<div class="outline-text-3" id="text-4-4">
|
||||
|
||||
<div id="org236241c" class="figure">
|
||||
<div id="org59ce301" class="figure">
|
||||
<p><img src="figs/marble_y_frf.png" alt="marble_y_frf.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 5: </span>Response to a force applied on the marble in the Y direction</p>
|
||||
</div>
|
||||
|
||||
|
||||
<div id="org82af17e" class="figure">
|
||||
<div id="orga559225" class="figure">
|
||||
<p><img src="figs/hexa_y_frf.png" alt="hexa_y_frf.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 6: </span>Response to a force applied on the hexa in the Y direction</p>
|
||||
@@ -641,18 +645,18 @@ frf_marble_z = <span style="color: #6434A3;">-</span><span style="color: #D0372D
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-org13db41d" class="outline-3">
|
||||
<h3 id="org13db41d"><span class="section-number-3">4.5</span> Z-direction FRF</h3>
|
||||
<div id="outline-container-org90e2e38" class="outline-3">
|
||||
<h3 id="org90e2e38"><span class="section-number-3">4.5</span> Z-direction FRF</h3>
|
||||
<div class="outline-text-3" id="text-4-5">
|
||||
|
||||
<div id="org59429a8" class="figure">
|
||||
<div id="orgc3ab1a0" class="figure">
|
||||
<p><img src="figs/marble_z_frf.png" alt="marble_z_frf.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 7: </span>Response to a force applied on the marble in the Z direction</p>
|
||||
</div>
|
||||
|
||||
|
||||
<div id="org74da9a0" class="figure">
|
||||
<div id="orge969c88" class="figure">
|
||||
<p><img src="figs/hexa_z_frf.png" alt="hexa_z_frf.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 8: </span>Response to a force applied on the hexa in the Z direction</p>
|
||||
@@ -663,7 +667,7 @@ frf_marble_z = <span style="color: #6434A3;">-</span><span style="color: #D0372D
|
||||
</div>
|
||||
<div id="postamble" class="status">
|
||||
<p class="author">Author: Thomas Dehaeze</p>
|
||||
<p class="date">Created: 2019-03-14 jeu. 11:54</p>
|
||||
<p class="date">Created: 2019-03-15 ven. 11:41</p>
|
||||
<p class="validation"><a href="http://validator.w3.org/check?uri=referer">Validate</a></p>
|
||||
</div>
|
||||
</body>
|
||||
|
@@ -21,6 +21,8 @@
|
||||
#+PROPERTY: header-args:matlab+ :output-dir figs
|
||||
:end:
|
||||
|
||||
[[../index.org][Back to main page]].
|
||||
|
||||
* Experimental conditions
|
||||
- Measurement made in a metrology lab
|
||||
- The granite is not glued to the floor
|
||||
|
Reference in New Issue
Block a user