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Update analysis: take into account the sensitivity of the geophone

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Thomas Dehaeze 2019-04-15 13:12:59 +02:00
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commit e6bc459e7b
10 changed files with 200 additions and 129 deletions
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@ -3,7 +3,7 @@
"http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd"> "http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd">
<html xmlns="http://www.w3.org/1999/xhtml" lang="en" xml:lang="en"> <html xmlns="http://www.w3.org/1999/xhtml" lang="en" xml:lang="en">
<head> <head>
<!-- 2019-03-15 ven. 11:42 --> <!-- 2019-04-15 lun. 13:12 -->
<meta http-equiv="Content-Type" content="text/html;charset=utf-8" /> <meta http-equiv="Content-Type" content="text/html;charset=utf-8" />
<meta name="viewport" content="width=device-width, initial-scale=1" /> <meta name="viewport" content="width=device-width, initial-scale=1" />
<title>Measurements</title> <title>Measurements</title>
@ -253,16 +253,16 @@ for the JavaScript code in this tag.
<h2>Table of Contents</h2> <h2>Table of Contents</h2>
<div id="text-table-of-contents"> <div id="text-table-of-contents">
<ul> <ul>
<li><a href="#org5e8db2a">1. Experimental conditions</a></li> <li><a href="#orga614698">1. Experimental conditions</a></li>
<li><a href="#org3971100">2. Measurements procedure</a></li> <li><a href="#org5acf69f">2. Measurements procedure</a></li>
<li><a href="#orgbdda3cf">3. Measurement Channels</a></li> <li><a href="#orge8576dc">3. Measurement Channels</a></li>
<li><a href="#org02d57dd">4. Experiments</a></li> <li><a href="#org2abc3a7">4. Experiments</a></li>
<li><a href="#org0c0372c">5. Data Analysis</a> <li><a href="#org4e35b4e">5. Data Analysis</a>
<ul> <ul>
<li><a href="#orgfa30bdd">5.1. Loading and pre-processing of the data</a></li> <li><a href="#orgaf82586">5.1. Loading and pre-processing of the data</a></li>
<li><a href="#org3b7ddf4">5.2. X-direction FRF</a></li> <li><a href="#orgc8844c5">5.2. X-direction FRF</a></li>
<li><a href="#org9e99f35">5.3. Y-direction FRF</a></li> <li><a href="#orgcf9ba27">5.3. Y-direction FRF</a></li>
<li><a href="#org047bf6d">5.4. Z-direction FRF</a></li> <li><a href="#org482e0e7">5.4. Z-direction FRF</a></li>
</ul> </ul>
</li> </li>
</ul> </ul>
@ -273,8 +273,8 @@ for the JavaScript code in this tag.
<a href="../index.html">Back to main page</a>. <a href="../index.html">Back to main page</a>.
</p> </p>
<div id="outline-container-org5e8db2a" class="outline-2"> <div id="outline-container-orga614698" class="outline-2">
<h2 id="org5e8db2a"><span class="section-number-2">1</span> Experimental conditions</h2> <h2 id="orga614698"><span class="section-number-2">1</span> Experimental conditions</h2>
<div class="outline-text-2" id="text-1"> <div class="outline-text-2" id="text-1">
<ul class="org-ul"> <ul class="org-ul">
<li>The granite is not glued to the floor</li> <li>The granite is not glued to the floor</li>
@ -284,12 +284,12 @@ for the JavaScript code in this tag.
</div> </div>
</div> </div>
<div id="outline-container-org3971100" class="outline-2"> <div id="outline-container-org5acf69f" class="outline-2">
<h2 id="org3971100"><span class="section-number-2">2</span> Measurements procedure</h2> <h2 id="org5acf69f"><span class="section-number-2">2</span> Measurements procedure</h2>
<div class="outline-text-2" id="text-2"> <div class="outline-text-2" id="text-2">
<p> <p>
<b>Geophones</b> <b>Geophones</b>
L-28LB geophones (table <a href="#org2db1824">1</a>) are placed on L-28LB geophones (table <a href="#org3345ea9">1</a>) are placed on
</p> </p>
<ul class="org-ul"> <ul class="org-ul">
<li>Marle</li> <li>Marle</li>
@ -297,7 +297,7 @@ L-28LB geophones (table <a href="#org2db1824">1</a>) are placed on
<li>Top of Hexapod</li> <li>Top of Hexapod</li>
</ul> </ul>
<table id="org2db1824" border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides"> <table id="org3345ea9" border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
<caption class="t-above"><span class="table-number">Table 1:</span> L-28LB Geophone characteristics</caption> <caption class="t-above"><span class="table-number">Table 1:</span> L-28LB Geophone characteristics</caption>
<colgroup> <colgroup>
@ -333,10 +333,10 @@ The structure is excited using an <b>instrumented hammer</b> with impacts on
</div> </div>
</div> </div>
<div id="outline-container-orgbdda3cf" class="outline-2"> <div id="outline-container-orge8576dc" class="outline-2">
<h2 id="orgbdda3cf"><span class="section-number-2">3</span> Measurement Channels</h2> <h2 id="orge8576dc"><span class="section-number-2">3</span> Measurement Channels</h2>
<div class="outline-text-2" id="text-3"> <div class="outline-text-2" id="text-3">
<table id="orgc11ba7f" border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides"> <table id="org462ede7" border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
<caption class="t-above"><span class="table-number">Table 2:</span> Description of each measurement channel</caption> <caption class="t-above"><span class="table-number">Table 2:</span> Description of each measurement channel</caption>
<colgroup> <colgroup>
@ -390,10 +390,10 @@ The structure is excited using an <b>instrumented hammer</b> with impacts on
</div> </div>
</div> </div>
<div id="outline-container-org02d57dd" class="outline-2"> <div id="outline-container-org2abc3a7" class="outline-2">
<h2 id="org02d57dd"><span class="section-number-2">4</span> Experiments</h2> <h2 id="org2abc3a7"><span class="section-number-2">4</span> Experiments</h2>
<div class="outline-text-2" id="text-4"> <div class="outline-text-2" id="text-4">
<table id="org5679814" border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides"> <table id="orgf9904be" border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
<caption class="t-above"><span class="table-number">Table 3:</span> Description of the location of direction of the excitation for each measurement</caption> <caption class="t-above"><span class="table-number">Table 3:</span> Description of the location of direction of the excitation for each measurement</caption>
<colgroup> <colgroup>
@ -453,107 +453,145 @@ The structure is excited using an <b>instrumented hammer</b> with impacts on
</div> </div>
</div> </div>
<div id="outline-container-org0c0372c" class="outline-2"> <div id="outline-container-org4e35b4e" class="outline-2">
<h2 id="org0c0372c"><span class="section-number-2">5</span> Data Analysis</h2> <h2 id="org4e35b4e"><span class="section-number-2">5</span> Data Analysis</h2>
<div class="outline-text-2" id="text-5"> <div class="outline-text-2" id="text-5">
</div> </div>
<div id="outline-container-orgfa30bdd" class="outline-3"> <div id="outline-container-orgaf82586" class="outline-3">
<h3 id="orgfa30bdd"><span class="section-number-3">5.1</span> Loading and pre-processing of the data</h3> <h3 id="orgaf82586"><span class="section-number-3">5.1</span> Loading and pre-processing of the data</h3>
<div class="outline-text-3" id="text-5-1"> <div class="outline-text-3" id="text-5-1">
<p> <p>
Data is scaled and integrated one time to go from velocity to displacement. The Geophone sensitivity is defined below:
</p> </p>
<div class="org-src-container"> <div class="org-src-container">
<pre class="src src-matlab">load<span style="color: #DCDCCC;">(</span><span style="color: #CC9393;">'./raw_data/freq_frf.mat'</span><span style="color: #DCDCCC;">)</span> <span style="color: #7F9F7F;">% freq_frf</span> <pre class="src src-matlab">w0 = <span class="org-highlight-numbers-number">4</span>.<span class="org-highlight-numbers-number">5</span><span class="org-type">*</span><span class="org-highlight-numbers-number">2</span><span class="org-type">*</span><span class="org-constant">pi</span>; <span class="org-comment">% [rad/s]</span>
ksi = <span class="org-highlight-numbers-number">0</span>.<span class="org-highlight-numbers-number">38</span>;
G0 = <span class="org-highlight-numbers-number">31</span>.<span class="org-highlight-numbers-number">3</span>; <span class="org-comment">% [V/(m/s)]</span>
G = G0<span class="org-type">*</span><span class="org-rainbow-delimiters-depth-1">(</span>s<span class="org-type">/</span>w0<span class="org-rainbow-delimiters-depth-1">)</span><span class="org-type">^</span><span class="org-highlight-numbers-number">2</span><span class="org-type">/</span><span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbow-delimiters-depth-2">(</span>s<span class="org-type">/</span>w0<span class="org-rainbow-delimiters-depth-2">)</span><span class="org-type">^</span><span class="org-highlight-numbers-number">2</span> <span class="org-type">+</span> <span class="org-highlight-numbers-number">2</span><span class="org-type">*</span>ksi<span class="org-type">*</span><span class="org-rainbow-delimiters-depth-2">(</span>s<span class="org-type">/</span>w0<span class="org-rainbow-delimiters-depth-2">)</span> <span class="org-type">+</span> <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-1">)</span>; <span class="org-comment">% [V/(m/s)]</span>
</pre>
</div>
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> <p>
We then:
</p>
<ul class="org-ul">
<li>load the data</li>
<li>add a minus sign when needed</li>
<li>integrate the signal to have displacement instead of velocity</li>
<li>scaled with the sensitivity of the Geophone</li>
</ul>
<div class="org-src-container">
<pre class="src src-matlab">load<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'./raw_data/freq_frf.mat'</span><span class="org-rainbow-delimiters-depth-1">)</span> <span class="org-comment">% freq_frf</span>
scale_factor = <span style="color: #BFEBBF;">1</span>; w = <span class="org-constant">j</span><span class="org-type">*</span><span class="org-highlight-numbers-number">2</span><span class="org-type">*</span><span class="org-constant">pi</span><span class="org-type">*</span>freq_frf; <span class="org-comment">% j.omega in [rad/s]</span>
load<span style="color: #DCDCCC;">(</span><span style="color: #CC9393;">'./raw_data/frf_marble_x.mat'</span><span style="color: #DCDCCC;">)</span> <span style="color: #7F9F7F;">% ReIm1</span> scaling = squeeze<span class="org-rainbow-delimiters-depth-1">(</span>freqresp<span class="org-rainbow-delimiters-depth-2">(</span>G, <span class="org-highlight-numbers-number">2</span><span class="org-type">*</span><span class="org-constant">pi</span><span class="org-type">*</span>freq_frf<span class="org-rainbow-delimiters-depth-2">)</span><span class="org-rainbow-delimiters-depth-1">)</span><span class="org-type">/</span>G0;
frf_marble_x = zeros<span style="color: #DCDCCC;">(</span>size<span style="color: #BFEBBF;">(</span>ReIm1, <span style="color: #BFEBBF;">1</span><span style="color: #BFEBBF;">)</span>, <span style="color: #BFEBBF;">3</span><span style="color: #DCDCCC;">)</span>;
frf_marble_x<span style="color: #DCDCCC;">(</span><span style="color: #7CB8BB;">:</span>, <span style="color: #BFEBBF;">1</span><span style="color: #DCDCCC;">)</span> = <span style="color: #7CB8BB;">-</span>scale_factor<span style="color: #7CB8BB;">*</span>ReIm1<span style="color: #DCDCCC;">(</span><span style="color: #7CB8BB;">:</span>, <span style="color: #BFEBBF;">2</span><span style="color: #DCDCCC;">)</span><span style="color: #7CB8BB;">./</span>w; <span style="color: #7F9F7F;">% marble_x</span>
frf_marble_x<span style="color: #DCDCCC;">(</span><span style="color: #7CB8BB;">:</span>, <span style="color: #BFEBBF;">2</span><span style="color: #DCDCCC;">)</span> = <span style="color: #7CB8BB;">-</span>scale_factor<span style="color: #7CB8BB;">*</span>ReIm1<span style="color: #DCDCCC;">(</span><span style="color: #7CB8BB;">:</span>, <span style="color: #BFEBBF;">3</span><span style="color: #DCDCCC;">)</span><span style="color: #7CB8BB;">./</span>w; <span style="color: #7F9F7F;">% tilt_x</span>
frf_marble_x<span style="color: #DCDCCC;">(</span><span style="color: #7CB8BB;">:</span>, <span style="color: #BFEBBF;">3</span><span style="color: #DCDCCC;">)</span> = <span style="color: #7CB8BB;">-</span>scale_factor<span style="color: #7CB8BB;">*</span>ReIm1<span style="color: #DCDCCC;">(</span><span style="color: #7CB8BB;">:</span>, <span style="color: #BFEBBF;">4</span><span style="color: #DCDCCC;">)</span><span style="color: #7CB8BB;">./</span>w; <span style="color: #7F9F7F;">% hexa_x</span>
load<span style="color: #DCDCCC;">(</span><span style="color: #CC9393;">'./raw_data/frf_hexa_x.mat'</span><span style="color: #DCDCCC;">)</span> <span style="color: #7F9F7F;">% ReIm2</span> load<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'./raw_data/frf_marble_x.mat'</span><span class="org-rainbow-delimiters-depth-1">)</span> <span class="org-comment">% ReIm1</span>
frf_hexa_x = zeros<span style="color: #DCDCCC;">(</span>size<span style="color: #BFEBBF;">(</span>ReIm2, <span style="color: #BFEBBF;">1</span><span style="color: #BFEBBF;">)</span>, <span style="color: #BFEBBF;">3</span><span style="color: #DCDCCC;">)</span>; frf_marble_x = zeros<span class="org-rainbow-delimiters-depth-1">(</span>size<span class="org-rainbow-delimiters-depth-2">(</span>ReIm1, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-2">)</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-1">)</span>;
frf_hexa_x<span style="color: #DCDCCC;">(</span><span style="color: #7CB8BB;">:</span>, <span style="color: #BFEBBF;">1</span><span style="color: #DCDCCC;">)</span> = <span style="color: #7CB8BB;">-</span>scale_factor<span style="color: #7CB8BB;">*</span>ReIm2<span style="color: #DCDCCC;">(</span><span style="color: #7CB8BB;">:</span>, <span style="color: #BFEBBF;">2</span><span style="color: #DCDCCC;">)</span><span style="color: #7CB8BB;">./</span>w; <span style="color: #7F9F7F;">% marble_x</span> frf_marble_x<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-1">)</span> = <span class="org-type">-</span>ReIm1<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-1">)</span><span class="org-type">./</span>w<span class="org-type">./</span>scaling; <span class="org-comment">% marble_x</span>
frf_hexa_x<span style="color: #DCDCCC;">(</span><span style="color: #7CB8BB;">:</span>, <span style="color: #BFEBBF;">2</span><span style="color: #DCDCCC;">)</span> = <span style="color: #7CB8BB;">-</span>scale_factor<span style="color: #7CB8BB;">*</span>ReIm2<span style="color: #DCDCCC;">(</span><span style="color: #7CB8BB;">:</span>, <span style="color: #BFEBBF;">3</span><span style="color: #DCDCCC;">)</span><span style="color: #7CB8BB;">./</span>w; <span style="color: #7F9F7F;">% tilt_x</span> frf_marble_x<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-1">)</span> = <span class="org-type">-</span>ReIm1<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-1">)</span><span class="org-type">./</span>w<span class="org-type">./</span>scaling; <span class="org-comment">% tilt_x</span>
frf_hexa_x<span style="color: #DCDCCC;">(</span><span style="color: #7CB8BB;">:</span>, <span style="color: #BFEBBF;">3</span><span style="color: #DCDCCC;">)</span> = <span style="color: #7CB8BB;">-</span>scale_factor<span style="color: #7CB8BB;">*</span>ReIm2<span style="color: #DCDCCC;">(</span><span style="color: #7CB8BB;">:</span>, <span style="color: #BFEBBF;">4</span><span style="color: #DCDCCC;">)</span><span style="color: #7CB8BB;">./</span>w; <span style="color: #7F9F7F;">% hexa_x</span> frf_marble_x<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-1">)</span> = <span class="org-type">-</span>ReIm1<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">4</span><span class="org-rainbow-delimiters-depth-1">)</span><span class="org-type">./</span>w<span class="org-type">./</span>scaling; <span class="org-comment">% hexa_x</span>
load<span style="color: #DCDCCC;">(</span><span style="color: #CC9393;">'./raw_data/frf_marble_y.mat'</span><span style="color: #DCDCCC;">)</span> <span style="color: #7F9F7F;">% ReIm3</span> load<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'./raw_data/frf_hexa_x.mat'</span><span class="org-rainbow-delimiters-depth-1">)</span> <span class="org-comment">% ReIm2</span>
frf_marble_y = zeros<span style="color: #DCDCCC;">(</span>size<span style="color: #BFEBBF;">(</span>ReIm3, <span style="color: #BFEBBF;">1</span><span style="color: #BFEBBF;">)</span>, <span style="color: #BFEBBF;">3</span><span style="color: #DCDCCC;">)</span>; frf_hexa_x = zeros<span class="org-rainbow-delimiters-depth-1">(</span>size<span class="org-rainbow-delimiters-depth-2">(</span>ReIm2, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-2">)</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-1">)</span>;
frf_marble_y<span style="color: #DCDCCC;">(</span><span style="color: #7CB8BB;">:</span>, <span style="color: #BFEBBF;">1</span><span style="color: #DCDCCC;">)</span> = <span style="color: #7CB8BB;">-</span>scale_factor<span style="color: #7CB8BB;">*</span>ReIm3<span style="color: #DCDCCC;">(</span><span style="color: #7CB8BB;">:</span>, <span style="color: #BFEBBF;">2</span><span style="color: #DCDCCC;">)</span><span style="color: #7CB8BB;">./</span>w; <span style="color: #7F9F7F;">% marble_y</span> frf_hexa_x<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-1">)</span> = <span class="org-type">-</span>ReIm2<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-1">)</span><span class="org-type">./</span>w<span class="org-type">./</span>scaling; <span class="org-comment">% marble_x</span>
frf_marble_y<span style="color: #DCDCCC;">(</span><span style="color: #7CB8BB;">:</span>, <span style="color: #BFEBBF;">2</span><span style="color: #DCDCCC;">)</span> = <span style="color: #7CB8BB;">-</span>scale_factor<span style="color: #7CB8BB;">*</span>ReIm3<span style="color: #DCDCCC;">(</span><span style="color: #7CB8BB;">:</span>, <span style="color: #BFEBBF;">3</span><span style="color: #DCDCCC;">)</span><span style="color: #7CB8BB;">./</span>w; <span style="color: #7F9F7F;">% tilt_y</span> frf_hexa_x<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-1">)</span> = <span class="org-type">-</span>ReIm2<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-1">)</span><span class="org-type">./</span>w<span class="org-type">./</span>scaling; <span class="org-comment">% tilt_x</span>
frf_marble_y<span style="color: #DCDCCC;">(</span><span style="color: #7CB8BB;">:</span>, <span style="color: #BFEBBF;">3</span><span style="color: #DCDCCC;">)</span> = <span style="color: #7CB8BB;">-</span>scale_factor<span style="color: #7CB8BB;">*</span>ReIm3<span style="color: #DCDCCC;">(</span><span style="color: #7CB8BB;">:</span>, <span style="color: #BFEBBF;">4</span><span style="color: #DCDCCC;">)</span><span style="color: #7CB8BB;">./</span>w; <span style="color: #7F9F7F;">% hexa_y</span> frf_hexa_x<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-1">)</span> = <span class="org-type">-</span>ReIm2<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">4</span><span class="org-rainbow-delimiters-depth-1">)</span><span class="org-type">./</span>w<span class="org-type">./</span>scaling; <span class="org-comment">% hexa_x</span>
load<span style="color: #DCDCCC;">(</span><span style="color: #CC9393;">'./raw_data/frf_hexa_y.mat'</span><span style="color: #DCDCCC;">)</span> <span style="color: #7F9F7F;">% ReIm4</span> load<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'./raw_data/frf_marble_y.mat'</span><span class="org-rainbow-delimiters-depth-1">)</span> <span class="org-comment">% ReIm3</span>
frf_hexa_y = zeros<span style="color: #DCDCCC;">(</span>size<span style="color: #BFEBBF;">(</span>ReIm4, <span style="color: #BFEBBF;">1</span><span style="color: #BFEBBF;">)</span>, <span style="color: #BFEBBF;">3</span><span style="color: #DCDCCC;">)</span>; frf_marble_y = zeros<span class="org-rainbow-delimiters-depth-1">(</span>size<span class="org-rainbow-delimiters-depth-2">(</span>ReIm3, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-2">)</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-1">)</span>;
frf_hexa_y<span style="color: #DCDCCC;">(</span><span style="color: #7CB8BB;">:</span>, <span style="color: #BFEBBF;">1</span><span style="color: #DCDCCC;">)</span> = scale_factor<span style="color: #7CB8BB;">*</span>ReIm4<span style="color: #DCDCCC;">(</span><span style="color: #7CB8BB;">:</span>, <span style="color: #BFEBBF;">2</span><span style="color: #DCDCCC;">)</span><span style="color: #7CB8BB;">./</span>w; <span style="color: #7F9F7F;">% marble_y</span> frf_marble_y<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-1">)</span> = <span class="org-type">-</span>ReIm3<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-1">)</span><span class="org-type">./</span>w<span class="org-type">./</span>scaling; <span class="org-comment">% marble_y</span>
frf_hexa_y<span style="color: #DCDCCC;">(</span><span style="color: #7CB8BB;">:</span>, <span style="color: #BFEBBF;">2</span><span style="color: #DCDCCC;">)</span> = scale_factor<span style="color: #7CB8BB;">*</span>ReIm4<span style="color: #DCDCCC;">(</span><span style="color: #7CB8BB;">:</span>, <span style="color: #BFEBBF;">3</span><span style="color: #DCDCCC;">)</span><span style="color: #7CB8BB;">./</span>w; <span style="color: #7F9F7F;">% tilt_y</span> frf_marble_y<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-1">)</span> = <span class="org-type">-</span>ReIm3<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-1">)</span><span class="org-type">./</span>w<span class="org-type">./</span>scaling; <span class="org-comment">% tilt_y</span>
frf_hexa_y<span style="color: #DCDCCC;">(</span><span style="color: #7CB8BB;">:</span>, <span style="color: #BFEBBF;">3</span><span style="color: #DCDCCC;">)</span> = scale_factor<span style="color: #7CB8BB;">*</span>ReIm4<span style="color: #DCDCCC;">(</span><span style="color: #7CB8BB;">:</span>, <span style="color: #BFEBBF;">4</span><span style="color: #DCDCCC;">)</span><span style="color: #7CB8BB;">./</span>w; <span style="color: #7F9F7F;">% hexa_y</span> frf_marble_y<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-1">)</span> = <span class="org-type">-</span>ReIm3<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">4</span><span class="org-rainbow-delimiters-depth-1">)</span><span class="org-type">./</span>w<span class="org-type">./</span>scaling; <span class="org-comment">% hexa_y</span>
load<span style="color: #DCDCCC;">(</span><span style="color: #CC9393;">'./raw_data/frf_marble_z.mat'</span><span style="color: #DCDCCC;">)</span> <span style="color: #7F9F7F;">% ReIm5</span> load<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'./raw_data/frf_hexa_y.mat'</span><span class="org-rainbow-delimiters-depth-1">)</span> <span class="org-comment">% ReIm4</span>
frf_marble_z = zeros<span style="color: #DCDCCC;">(</span>size<span style="color: #BFEBBF;">(</span>ReIm5, <span style="color: #BFEBBF;">1</span><span style="color: #BFEBBF;">)</span>, <span style="color: #BFEBBF;">3</span><span style="color: #DCDCCC;">)</span>; frf_hexa_y = zeros<span class="org-rainbow-delimiters-depth-1">(</span>size<span class="org-rainbow-delimiters-depth-2">(</span>ReIm4, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-2">)</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-1">)</span>;
frf_marble_z<span style="color: #DCDCCC;">(</span><span style="color: #7CB8BB;">:</span>, <span style="color: #BFEBBF;">1</span><span style="color: #DCDCCC;">)</span> = scale_factor<span style="color: #7CB8BB;">*</span>ReIm5<span style="color: #DCDCCC;">(</span><span style="color: #7CB8BB;">:</span>, <span style="color: #BFEBBF;">2</span><span style="color: #DCDCCC;">)</span><span style="color: #7CB8BB;">./</span>w; <span style="color: #7F9F7F;">% marble_z</span> frf_hexa_y<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-1">)</span> = ReIm4<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-1">)</span><span class="org-type">./</span>w<span class="org-type">./</span>scaling; <span class="org-comment">% marble_y</span>
frf_marble_z<span style="color: #DCDCCC;">(</span><span style="color: #7CB8BB;">:</span>, <span style="color: #BFEBBF;">2</span><span style="color: #DCDCCC;">)</span> = scale_factor<span style="color: #7CB8BB;">*</span>ReIm5<span style="color: #DCDCCC;">(</span><span style="color: #7CB8BB;">:</span>, <span style="color: #BFEBBF;">3</span><span style="color: #DCDCCC;">)</span><span style="color: #7CB8BB;">./</span>w; <span style="color: #7F9F7F;">% tilt_z</span> frf_hexa_y<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-1">)</span> = ReIm4<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-1">)</span><span class="org-type">./</span>w<span class="org-type">./</span>scaling; <span class="org-comment">% tilt_y</span>
frf_marble_z<span style="color: #DCDCCC;">(</span><span style="color: #7CB8BB;">:</span>, <span style="color: #BFEBBF;">3</span><span style="color: #DCDCCC;">)</span> = scale_factor<span style="color: #7CB8BB;">*</span>ReIm5<span style="color: #DCDCCC;">(</span><span style="color: #7CB8BB;">:</span>, <span style="color: #BFEBBF;">4</span><span style="color: #DCDCCC;">)</span><span style="color: #7CB8BB;">./</span>w; <span style="color: #7F9F7F;">% hexa_z</span> frf_hexa_y<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-1">)</span> = ReIm4<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">4</span><span class="org-rainbow-delimiters-depth-1">)</span><span class="org-type">./</span>w<span class="org-type">./</span>scaling; <span class="org-comment">% hexa_y</span>
load<span style="color: #DCDCCC;">(</span><span style="color: #CC9393;">'./raw_data/frf_hexa_z.mat'</span><span style="color: #DCDCCC;">)</span> <span style="color: #7F9F7F;">% ReIm6</span> load<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'./raw_data/frf_marble_z.mat'</span><span class="org-rainbow-delimiters-depth-1">)</span> <span class="org-comment">% ReIm5</span>
frf_hexa_z = zeros<span style="color: #DCDCCC;">(</span>size<span style="color: #BFEBBF;">(</span>ReIm6, <span style="color: #BFEBBF;">1</span><span style="color: #BFEBBF;">)</span>, <span style="color: #BFEBBF;">3</span><span style="color: #DCDCCC;">)</span>; frf_marble_z = zeros<span class="org-rainbow-delimiters-depth-1">(</span>size<span class="org-rainbow-delimiters-depth-2">(</span>ReIm5, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-2">)</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-1">)</span>;
frf_hexa_z<span style="color: #DCDCCC;">(</span><span style="color: #7CB8BB;">:</span>, <span style="color: #BFEBBF;">1</span><span style="color: #DCDCCC;">)</span> = scale_factor<span style="color: #7CB8BB;">*</span>ReIm6<span style="color: #DCDCCC;">(</span><span style="color: #7CB8BB;">:</span>, <span style="color: #BFEBBF;">2</span><span style="color: #DCDCCC;">)</span><span style="color: #7CB8BB;">./</span>w; <span style="color: #7F9F7F;">% marble_z</span> frf_marble_z<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-1">)</span> = ReIm5<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-1">)</span><span class="org-type">./</span>w<span class="org-type">./</span>scaling; <span class="org-comment">% marble_z</span>
frf_hexa_z<span style="color: #DCDCCC;">(</span><span style="color: #7CB8BB;">:</span>, <span style="color: #BFEBBF;">2</span><span style="color: #DCDCCC;">)</span> = scale_factor<span style="color: #7CB8BB;">*</span>ReIm6<span style="color: #DCDCCC;">(</span><span style="color: #7CB8BB;">:</span>, <span style="color: #BFEBBF;">3</span><span style="color: #DCDCCC;">)</span><span style="color: #7CB8BB;">./</span>w; <span style="color: #7F9F7F;">% tilt_z</span> frf_marble_z<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-1">)</span> = ReIm5<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-1">)</span><span class="org-type">./</span>w<span class="org-type">./</span>scaling; <span class="org-comment">% tilt_z</span>
frf_hexa_z<span style="color: #DCDCCC;">(</span><span style="color: #7CB8BB;">:</span>, <span style="color: #BFEBBF;">3</span><span style="color: #DCDCCC;">)</span> = scale_factor<span style="color: #7CB8BB;">*</span>ReIm6<span style="color: #DCDCCC;">(</span><span style="color: #7CB8BB;">:</span>, <span style="color: #BFEBBF;">4</span><span style="color: #DCDCCC;">)</span><span style="color: #7CB8BB;">./</span>w; <span style="color: #7F9F7F;">% hexa_z</span> frf_marble_z<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-1">)</span> = ReIm5<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">4</span><span class="org-rainbow-delimiters-depth-1">)</span><span class="org-type">./</span>w<span class="org-type">./</span>scaling; <span class="org-comment">% hexa_z</span>
load<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'./raw_data/frf_hexa_z.mat'</span><span class="org-rainbow-delimiters-depth-1">)</span> <span class="org-comment">% ReIm6</span>
frf_hexa_z = zeros<span class="org-rainbow-delimiters-depth-1">(</span>size<span class="org-rainbow-delimiters-depth-2">(</span>ReIm6, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-2">)</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-1">)</span>;
frf_hexa_z<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-1">)</span> = ReIm6<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-1">)</span><span class="org-type">./</span>w<span class="org-type">./</span>scaling; <span class="org-comment">% marble_z</span>
frf_hexa_z<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-1">)</span> = ReIm6<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-1">)</span><span class="org-type">./</span>w<span class="org-type">./</span>scaling; <span class="org-comment">% tilt_z</span>
frf_hexa_z<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-1">)</span> = ReIm6<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">4</span><span class="org-rainbow-delimiters-depth-1">)</span><span class="org-type">./</span>w<span class="org-type">./</span>scaling; <span class="org-comment">% hexa_z</span>
</pre> </pre>
</div> </div>
<div class="org-src-container"> <div class="org-src-container">
<pre class="src src-matlab">load<span style="color: #DCDCCC;">(</span><span style="color: #CC9393;">'./raw_data/coher_marble_x.mat'</span><span style="color: #DCDCCC;">)</span> <span style="color: #7F9F7F;">% coh1</span> <pre class="src src-matlab">load<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'./raw_data/coher_marble_x.mat'</span><span class="org-rainbow-delimiters-depth-1">)</span> <span class="org-comment">% coh1</span>
coh_marble_x = zeros<span style="color: #DCDCCC;">(</span>size<span style="color: #BFEBBF;">(</span>coh1, <span style="color: #BFEBBF;">1</span><span style="color: #BFEBBF;">)</span>, <span style="color: #BFEBBF;">3</span><span style="color: #DCDCCC;">)</span>; coh_marble_x = zeros<span class="org-rainbow-delimiters-depth-1">(</span>size<span class="org-rainbow-delimiters-depth-2">(</span>coh1, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-2">)</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-1">)</span>;
coh_marble_x<span style="color: #DCDCCC;">(</span><span style="color: #7CB8BB;">:</span>, <span style="color: #BFEBBF;">1</span><span style="color: #DCDCCC;">)</span> = coh1<span style="color: #DCDCCC;">(</span><span style="color: #7CB8BB;">:</span>, <span style="color: #BFEBBF;">2</span><span style="color: #DCDCCC;">)</span>; <span style="color: #7F9F7F;">% marble_x</span> coh_marble_x<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-1">)</span> = coh1<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-1">)</span>; <span class="org-comment">% marble_x</span>
coh_marble_x<span style="color: #DCDCCC;">(</span><span style="color: #7CB8BB;">:</span>, <span style="color: #BFEBBF;">2</span><span style="color: #DCDCCC;">)</span> = coh1<span style="color: #DCDCCC;">(</span><span style="color: #7CB8BB;">:</span>, <span style="color: #BFEBBF;">3</span><span style="color: #DCDCCC;">)</span>; <span style="color: #7F9F7F;">% tilt_x</span> coh_marble_x<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-1">)</span> = coh1<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-1">)</span>; <span class="org-comment">% tilt_x</span>
coh_marble_x<span style="color: #DCDCCC;">(</span><span style="color: #7CB8BB;">:</span>, <span style="color: #BFEBBF;">3</span><span style="color: #DCDCCC;">)</span> = coh1<span style="color: #DCDCCC;">(</span><span style="color: #7CB8BB;">:</span>, <span style="color: #BFEBBF;">4</span><span style="color: #DCDCCC;">)</span>; <span style="color: #7F9F7F;">% hexa_x</span> coh_marble_x<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-1">)</span> = coh1<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">4</span><span class="org-rainbow-delimiters-depth-1">)</span>; <span class="org-comment">% hexa_x</span>
load<span style="color: #DCDCCC;">(</span><span style="color: #CC9393;">'./raw_data/coher_hexa_x.mat'</span><span style="color: #DCDCCC;">)</span> <span style="color: #7F9F7F;">% coh2</span> load<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'./raw_data/coher_hexa_x.mat'</span><span class="org-rainbow-delimiters-depth-1">)</span> <span class="org-comment">% coh2</span>
coh_hexa_x = zeros<span style="color: #DCDCCC;">(</span>size<span style="color: #BFEBBF;">(</span>coh2, <span style="color: #BFEBBF;">1</span><span style="color: #BFEBBF;">)</span>, <span style="color: #BFEBBF;">3</span><span style="color: #DCDCCC;">)</span>; coh_hexa_x = zeros<span class="org-rainbow-delimiters-depth-1">(</span>size<span class="org-rainbow-delimiters-depth-2">(</span>coh2, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-2">)</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-1">)</span>;
coh_hexa_x<span style="color: #DCDCCC;">(</span><span style="color: #7CB8BB;">:</span>, <span style="color: #BFEBBF;">1</span><span style="color: #DCDCCC;">)</span> = coh2<span style="color: #DCDCCC;">(</span><span style="color: #7CB8BB;">:</span>, <span style="color: #BFEBBF;">2</span><span style="color: #DCDCCC;">)</span>; <span style="color: #7F9F7F;">% marble_x</span> coh_hexa_x<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-1">)</span> = coh2<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-1">)</span>; <span class="org-comment">% marble_x</span>
coh_hexa_x<span style="color: #DCDCCC;">(</span><span style="color: #7CB8BB;">:</span>, <span style="color: #BFEBBF;">2</span><span style="color: #DCDCCC;">)</span> = coh2<span style="color: #DCDCCC;">(</span><span style="color: #7CB8BB;">:</span>, <span style="color: #BFEBBF;">3</span><span style="color: #DCDCCC;">)</span>; <span style="color: #7F9F7F;">% tilt_x</span> coh_hexa_x<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-1">)</span> = coh2<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-1">)</span>; <span class="org-comment">% tilt_x</span>
coh_hexa_x<span style="color: #DCDCCC;">(</span><span style="color: #7CB8BB;">:</span>, <span style="color: #BFEBBF;">3</span><span style="color: #DCDCCC;">)</span> = coh2<span style="color: #DCDCCC;">(</span><span style="color: #7CB8BB;">:</span>, <span style="color: #BFEBBF;">4</span><span style="color: #DCDCCC;">)</span>; <span style="color: #7F9F7F;">% hexa_x</span> coh_hexa_x<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-1">)</span> = coh2<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">4</span><span class="org-rainbow-delimiters-depth-1">)</span>; <span class="org-comment">% hexa_x</span>
load<span style="color: #DCDCCC;">(</span><span style="color: #CC9393;">'./raw_data/coher_marble_y.mat'</span><span style="color: #DCDCCC;">)</span> <span style="color: #7F9F7F;">% coh3</span> load<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'./raw_data/coher_marble_y.mat'</span><span class="org-rainbow-delimiters-depth-1">)</span> <span class="org-comment">% coh3</span>
coh_marble_y = zeros<span style="color: #DCDCCC;">(</span>size<span style="color: #BFEBBF;">(</span>coh3, <span style="color: #BFEBBF;">1</span><span style="color: #BFEBBF;">)</span>, <span style="color: #BFEBBF;">3</span><span style="color: #DCDCCC;">)</span>; coh_marble_y = zeros<span class="org-rainbow-delimiters-depth-1">(</span>size<span class="org-rainbow-delimiters-depth-2">(</span>coh3, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-2">)</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-1">)</span>;
coh_marble_y<span style="color: #DCDCCC;">(</span><span style="color: #7CB8BB;">:</span>, <span style="color: #BFEBBF;">1</span><span style="color: #DCDCCC;">)</span> = coh3<span style="color: #DCDCCC;">(</span><span style="color: #7CB8BB;">:</span>, <span style="color: #BFEBBF;">2</span><span style="color: #DCDCCC;">)</span>; <span style="color: #7F9F7F;">% marble_y</span> coh_marble_y<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-1">)</span> = coh3<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-1">)</span>; <span class="org-comment">% marble_y</span>
coh_marble_y<span style="color: #DCDCCC;">(</span><span style="color: #7CB8BB;">:</span>, <span style="color: #BFEBBF;">2</span><span style="color: #DCDCCC;">)</span> = coh3<span style="color: #DCDCCC;">(</span><span style="color: #7CB8BB;">:</span>, <span style="color: #BFEBBF;">3</span><span style="color: #DCDCCC;">)</span>; <span style="color: #7F9F7F;">% tilt_y</span> coh_marble_y<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-1">)</span> = coh3<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-1">)</span>; <span class="org-comment">% tilt_y</span>
coh_marble_y<span style="color: #DCDCCC;">(</span><span style="color: #7CB8BB;">:</span>, <span style="color: #BFEBBF;">3</span><span style="color: #DCDCCC;">)</span> = coh3<span style="color: #DCDCCC;">(</span><span style="color: #7CB8BB;">:</span>, <span style="color: #BFEBBF;">4</span><span style="color: #DCDCCC;">)</span>; <span style="color: #7F9F7F;">% hexa_y</span> coh_marble_y<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-1">)</span> = coh3<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">4</span><span class="org-rainbow-delimiters-depth-1">)</span>; <span class="org-comment">% hexa_y</span>
load<span style="color: #DCDCCC;">(</span><span style="color: #CC9393;">'./raw_data/coher_hexa_y.mat'</span><span style="color: #DCDCCC;">)</span> <span style="color: #7F9F7F;">% coh4</span> load<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'./raw_data/coher_hexa_y.mat'</span><span class="org-rainbow-delimiters-depth-1">)</span> <span class="org-comment">% coh4</span>
coh_hexa_y = zeros<span style="color: #DCDCCC;">(</span>size<span style="color: #BFEBBF;">(</span>coh4, <span style="color: #BFEBBF;">1</span><span style="color: #BFEBBF;">)</span>, <span style="color: #BFEBBF;">3</span><span style="color: #DCDCCC;">)</span>; coh_hexa_y = zeros<span class="org-rainbow-delimiters-depth-1">(</span>size<span class="org-rainbow-delimiters-depth-2">(</span>coh4, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-2">)</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-1">)</span>;
coh_hexa_y<span style="color: #DCDCCC;">(</span><span style="color: #7CB8BB;">:</span>, <span style="color: #BFEBBF;">1</span><span style="color: #DCDCCC;">)</span> = coh4<span style="color: #DCDCCC;">(</span><span style="color: #7CB8BB;">:</span>, <span style="color: #BFEBBF;">2</span><span style="color: #DCDCCC;">)</span>; <span style="color: #7F9F7F;">% marble_y</span> coh_hexa_y<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-1">)</span> = coh4<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-1">)</span>; <span class="org-comment">% marble_y</span>
coh_hexa_y<span style="color: #DCDCCC;">(</span><span style="color: #7CB8BB;">:</span>, <span style="color: #BFEBBF;">2</span><span style="color: #DCDCCC;">)</span> = coh4<span style="color: #DCDCCC;">(</span><span style="color: #7CB8BB;">:</span>, <span style="color: #BFEBBF;">3</span><span style="color: #DCDCCC;">)</span>; <span style="color: #7F9F7F;">% tilt_y</span> coh_hexa_y<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-1">)</span> = coh4<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-1">)</span>; <span class="org-comment">% tilt_y</span>
coh_hexa_y<span style="color: #DCDCCC;">(</span><span style="color: #7CB8BB;">:</span>, <span style="color: #BFEBBF;">3</span><span style="color: #DCDCCC;">)</span> = coh4<span style="color: #DCDCCC;">(</span><span style="color: #7CB8BB;">:</span>, <span style="color: #BFEBBF;">4</span><span style="color: #DCDCCC;">)</span>; <span style="color: #7F9F7F;">% hexa_y</span> coh_hexa_y<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-1">)</span> = coh4<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">4</span><span class="org-rainbow-delimiters-depth-1">)</span>; <span class="org-comment">% hexa_y</span>
load<span style="color: #DCDCCC;">(</span><span style="color: #CC9393;">'./raw_data/coher_marble_z.mat'</span><span style="color: #DCDCCC;">)</span> <span style="color: #7F9F7F;">% coh5</span> load<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'./raw_data/coher_marble_z.mat'</span><span class="org-rainbow-delimiters-depth-1">)</span> <span class="org-comment">% coh5</span>
coh_marble_z = zeros<span style="color: #DCDCCC;">(</span>size<span style="color: #BFEBBF;">(</span>coh5, <span style="color: #BFEBBF;">1</span><span style="color: #BFEBBF;">)</span>, <span style="color: #BFEBBF;">3</span><span style="color: #DCDCCC;">)</span>; coh_marble_z = zeros<span class="org-rainbow-delimiters-depth-1">(</span>size<span class="org-rainbow-delimiters-depth-2">(</span>coh5, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-2">)</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-1">)</span>;
coh_marble_z<span style="color: #DCDCCC;">(</span><span style="color: #7CB8BB;">:</span>, <span style="color: #BFEBBF;">1</span><span style="color: #DCDCCC;">)</span> = coh5<span style="color: #DCDCCC;">(</span><span style="color: #7CB8BB;">:</span>, <span style="color: #BFEBBF;">2</span><span style="color: #DCDCCC;">)</span>; <span style="color: #7F9F7F;">% marble_z</span> coh_marble_z<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-1">)</span> = coh5<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-1">)</span>; <span class="org-comment">% marble_z</span>
coh_marble_z<span style="color: #DCDCCC;">(</span><span style="color: #7CB8BB;">:</span>, <span style="color: #BFEBBF;">2</span><span style="color: #DCDCCC;">)</span> = coh5<span style="color: #DCDCCC;">(</span><span style="color: #7CB8BB;">:</span>, <span style="color: #BFEBBF;">3</span><span style="color: #DCDCCC;">)</span>; <span style="color: #7F9F7F;">% tilt_z</span> coh_marble_z<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-1">)</span> = coh5<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-1">)</span>; <span class="org-comment">% tilt_z</span>
coh_marble_z<span style="color: #DCDCCC;">(</span><span style="color: #7CB8BB;">:</span>, <span style="color: #BFEBBF;">3</span><span style="color: #DCDCCC;">)</span> = coh5<span style="color: #DCDCCC;">(</span><span style="color: #7CB8BB;">:</span>, <span style="color: #BFEBBF;">4</span><span style="color: #DCDCCC;">)</span>; <span style="color: #7F9F7F;">% hexa_z</span> coh_marble_z<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-1">)</span> = coh5<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">4</span><span class="org-rainbow-delimiters-depth-1">)</span>; <span class="org-comment">% hexa_z</span>
load<span style="color: #DCDCCC;">(</span><span style="color: #CC9393;">'./raw_data/coher_hexa_z.mat'</span><span style="color: #DCDCCC;">)</span> <span style="color: #7F9F7F;">% coh6</span> load<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'./raw_data/coher_hexa_z.mat'</span><span class="org-rainbow-delimiters-depth-1">)</span> <span class="org-comment">% coh6</span>
coh_hexa_z = zeros<span style="color: #DCDCCC;">(</span>size<span style="color: #BFEBBF;">(</span>coh6, <span style="color: #BFEBBF;">1</span><span style="color: #BFEBBF;">)</span>, <span style="color: #BFEBBF;">3</span><span style="color: #DCDCCC;">)</span>; coh_hexa_z = zeros<span class="org-rainbow-delimiters-depth-1">(</span>size<span class="org-rainbow-delimiters-depth-2">(</span>coh6, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-2">)</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-1">)</span>;
coh_hexa_z<span style="color: #DCDCCC;">(</span><span style="color: #7CB8BB;">:</span>, <span style="color: #BFEBBF;">1</span><span style="color: #DCDCCC;">)</span> = coh6<span style="color: #DCDCCC;">(</span><span style="color: #7CB8BB;">:</span>, <span style="color: #BFEBBF;">2</span><span style="color: #DCDCCC;">)</span>; <span style="color: #7F9F7F;">% marble_z</span> coh_hexa_z<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-1">)</span> = coh6<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-1">)</span>; <span class="org-comment">% marble_z</span>
coh_hexa_z<span style="color: #DCDCCC;">(</span><span style="color: #7CB8BB;">:</span>, <span style="color: #BFEBBF;">2</span><span style="color: #DCDCCC;">)</span> = coh6<span style="color: #DCDCCC;">(</span><span style="color: #7CB8BB;">:</span>, <span style="color: #BFEBBF;">3</span><span style="color: #DCDCCC;">)</span>; <span style="color: #7F9F7F;">% tilt_z</span> coh_hexa_z<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-1">)</span> = coh6<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-1">)</span>; <span class="org-comment">% tilt_z</span>
coh_hexa_z<span style="color: #DCDCCC;">(</span><span style="color: #7CB8BB;">:</span>, <span style="color: #BFEBBF;">3</span><span style="color: #DCDCCC;">)</span> = coh6<span style="color: #DCDCCC;">(</span><span style="color: #7CB8BB;">:</span>, <span style="color: #BFEBBF;">4</span><span style="color: #DCDCCC;">)</span>; <span style="color: #7F9F7F;">% hexa_z</span> coh_hexa_z<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-1">)</span> = coh6<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">4</span><span class="org-rainbow-delimiters-depth-1">)</span>; <span class="org-comment">% hexa_z</span>
</pre>
</div>
<p>
Finally, we save the processed data.
</p>
<div class="org-src-container">
<pre class="src src-matlab">save<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'./data/id31_microstation_2018_01_12_frf.mat'</span>, <span class="org-underline">...</span>
<span class="org-string">'frf_marble_x'</span>, <span class="org-underline">...</span>
<span class="org-string">'frf_marble_y'</span>, <span class="org-underline">...</span>
<span class="org-string">'frf_marble_z'</span>, <span class="org-underline">...</span>
<span class="org-string">'frf_hexa_x'</span>, <span class="org-underline">...</span>
<span class="org-string">'frf_hexa_y'</span>, <span class="org-underline">...</span>
<span class="org-string">'frf_hexa_z'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
save<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'./data/id31_microstation_2018_01_12_frf.mat'</span>, <span class="org-underline">...</span>
<span class="org-string">'coh_marble_x'</span>, <span class="org-underline">...</span>
<span class="org-string">'coh_marble_y'</span>, <span class="org-underline">...</span>
<span class="org-string">'coh_marble_z'</span>, <span class="org-underline">...</span>
<span class="org-string">'coh_hexa_x'</span>, <span class="org-underline">...</span>
<span class="org-string">'coh_hexa_y'</span>, <span class="org-underline">...</span>
<span class="org-string">'coh_hexa_z'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
</pre> </pre>
</div> </div>
</div> </div>
</div> </div>
<div id="outline-container-org3b7ddf4" class="outline-3"> <div id="outline-container-orgc8844c5" class="outline-3">
<h3 id="org3b7ddf4"><span class="section-number-3">5.2</span> X-direction FRF</h3> <h3 id="orgc8844c5"><span class="section-number-3">5.2</span> X-direction FRF</h3>
<div class="outline-text-3" id="text-5-2"> <div class="outline-text-3" id="text-5-2">
<div id="org9f57def" class="figure"> <div id="org46ec177" class="figure">
<p><img src="figs/marble_x_frf.png" alt="marble_x_frf.png" /> <p><img src="figs/marble_x_frf.png" alt="marble_x_frf.png" />
</p> </p>
<p><span class="figure-number">Figure 1: </span>Response to a force applied on the marble in the X direction</p> <p><span class="figure-number">Figure 1: </span>Response to a force applied on the marble in the X direction</p>
@ -561,7 +599,7 @@ coh_hexa_z<span style="color: #DCDCCC;">(</span><span style="color: #7CB8BB;">:<
<div id="orgbb30a4d" class="figure"> <div id="org1e4d82b" class="figure">
<p><img src="figs/hexa_x_frf.png" alt="hexa_x_frf.png" /> <p><img src="figs/hexa_x_frf.png" alt="hexa_x_frf.png" />
</p> </p>
<p><span class="figure-number">Figure 2: </span>Response to a force applied on the hexa in the X direction</p> <p><span class="figure-number">Figure 2: </span>Response to a force applied on the hexa in the X direction</p>
@ -569,18 +607,18 @@ coh_hexa_z<span style="color: #DCDCCC;">(</span><span style="color: #7CB8BB;">:<
</div> </div>
</div> </div>
<div id="outline-container-org9e99f35" class="outline-3"> <div id="outline-container-orgcf9ba27" class="outline-3">
<h3 id="org9e99f35"><span class="section-number-3">5.3</span> Y-direction FRF</h3> <h3 id="orgcf9ba27"><span class="section-number-3">5.3</span> Y-direction FRF</h3>
<div class="outline-text-3" id="text-5-3"> <div class="outline-text-3" id="text-5-3">
<div id="orgee13a2c" class="figure"> <div id="org259229b" class="figure">
<p><img src="figs/marble_y_frf.png" alt="marble_y_frf.png" /> <p><img src="figs/marble_y_frf.png" alt="marble_y_frf.png" />
</p> </p>
<p><span class="figure-number">Figure 3: </span>Response to a force applied on the marble in the Y direction</p> <p><span class="figure-number">Figure 3: </span>Response to a force applied on the marble in the Y direction</p>
</div> </div>
<div id="org2f8f75b" class="figure"> <div id="org24e7d47" class="figure">
<p><img src="figs/hexa_y_frf.png" alt="hexa_y_frf.png" /> <p><img src="figs/hexa_y_frf.png" alt="hexa_y_frf.png" />
</p> </p>
<p><span class="figure-number">Figure 4: </span>Response to a force applied on the hexa in the Y direction</p> <p><span class="figure-number">Figure 4: </span>Response to a force applied on the hexa in the Y direction</p>
@ -588,18 +626,18 @@ coh_hexa_z<span style="color: #DCDCCC;">(</span><span style="color: #7CB8BB;">:<
</div> </div>
</div> </div>
<div id="outline-container-org047bf6d" class="outline-3"> <div id="outline-container-org482e0e7" class="outline-3">
<h3 id="org047bf6d"><span class="section-number-3">5.4</span> Z-direction FRF</h3> <h3 id="org482e0e7"><span class="section-number-3">5.4</span> Z-direction FRF</h3>
<div class="outline-text-3" id="text-5-4"> <div class="outline-text-3" id="text-5-4">
<div id="orge62caa0" class="figure"> <div id="orgd52f782" class="figure">
<p><img src="figs/marble_z_frf.png" alt="marble_z_frf.png" /> <p><img src="figs/marble_z_frf.png" alt="marble_z_frf.png" />
</p> </p>
<p><span class="figure-number">Figure 5: </span>Response to a force applied on the marble in the Z direction</p> <p><span class="figure-number">Figure 5: </span>Response to a force applied on the marble in the Z direction</p>
</div> </div>
<div id="orge12008c" class="figure"> <div id="org142632b" class="figure">
<p><img src="figs/hexa_z_frf.png" alt="hexa_z_frf.png" /> <p><img src="figs/hexa_z_frf.png" alt="hexa_z_frf.png" />
</p> </p>
<p><span class="figure-number">Figure 6: </span>Response to a force applied on the hexa in the Z direction</p> <p><span class="figure-number">Figure 6: </span>Response to a force applied on the hexa in the Z direction</p>
@ -610,7 +648,7 @@ coh_hexa_z<span style="color: #DCDCCC;">(</span><span style="color: #7CB8BB;">:<
</div> </div>
<div id="postamble" class="status"> <div id="postamble" class="status">
<p class="author">Author: Thomas Dehaeze</p> <p class="author">Author: Thomas Dehaeze</p>
<p class="date">Created: 2019-03-15 ven. 11:42</p> <p class="date">Created: 2019-04-15 lun. 13:12</p>
<p class="validation"><a href="http://validator.w3.org/check?uri=referer">Validate</a></p> <p class="validation"><a href="http://validator.w3.org/check?uri=referer">Validate</a></p>
</div> </div>
</body> </body>

82
2018-01-12 - Marc/index.org
View File

@ -76,49 +76,61 @@ The structure is excited using an *instrumented hammer* with impacts on
<<matlab-init>> <<matlab-init>>
#+end_src #+end_src
Data is scaled and integrated one time to go from velocity to displacement. The Geophone sensitivity is defined below:
#+begin_src matlab :results none
w0 = 4.5*2*pi; % [rad/s]
ksi = 0.38;
G0 = 31.3; % [V/(m/s)]
G = G0*(s/w0)^2/((s/w0)^2 + 2*ksi*(s/w0) + 1); % [V/(m/s)]
#+end_src
We then:
- load the data
- add a minus sign when needed
- integrate the signal to have displacement instead of velocity
- scaled with the sensitivity of the Geophone
#+begin_src matlab :exports code :results none #+begin_src matlab :exports code :results none
load('./raw_data/freq_frf.mat') % freq_frf load('./raw_data/freq_frf.mat') % freq_frf
w = j*2*pi*freq_frf; % j.omega in [rad/s] w = j*2*pi*freq_frf; % j.omega in [rad/s]
scale_factor = 1; scaling = squeeze(freqresp(G, 2*pi*freq_frf))/G0;
load('./raw_data/frf_marble_x.mat') % ReIm1 load('./raw_data/frf_marble_x.mat') % ReIm1
frf_marble_x = zeros(size(ReIm1, 1), 3); frf_marble_x = zeros(size(ReIm1, 1), 3);
frf_marble_x(:, 1) = -scale_factor*ReIm1(:, 2)./w; % marble_x frf_marble_x(:, 1) = -ReIm1(:, 2)./w./scaling; % marble_x
frf_marble_x(:, 2) = -scale_factor*ReIm1(:, 3)./w; % tilt_x frf_marble_x(:, 2) = -ReIm1(:, 3)./w./scaling; % tilt_x
frf_marble_x(:, 3) = -scale_factor*ReIm1(:, 4)./w; % hexa_x frf_marble_x(:, 3) = -ReIm1(:, 4)./w./scaling; % hexa_x
load('./raw_data/frf_hexa_x.mat') % ReIm2 load('./raw_data/frf_hexa_x.mat') % ReIm2
frf_hexa_x = zeros(size(ReIm2, 1), 3); frf_hexa_x = zeros(size(ReIm2, 1), 3);
frf_hexa_x(:, 1) = -scale_factor*ReIm2(:, 2)./w; % marble_x frf_hexa_x(:, 1) = -ReIm2(:, 2)./w./scaling; % marble_x
frf_hexa_x(:, 2) = -scale_factor*ReIm2(:, 3)./w; % tilt_x frf_hexa_x(:, 2) = -ReIm2(:, 3)./w./scaling; % tilt_x
frf_hexa_x(:, 3) = -scale_factor*ReIm2(:, 4)./w; % hexa_x frf_hexa_x(:, 3) = -ReIm2(:, 4)./w./scaling; % hexa_x
load('./raw_data/frf_marble_y.mat') % ReIm3 load('./raw_data/frf_marble_y.mat') % ReIm3
frf_marble_y = zeros(size(ReIm3, 1), 3); frf_marble_y = zeros(size(ReIm3, 1), 3);
frf_marble_y(:, 1) = -scale_factor*ReIm3(:, 2)./w; % marble_y frf_marble_y(:, 1) = -ReIm3(:, 2)./w./scaling; % marble_y
frf_marble_y(:, 2) = -scale_factor*ReIm3(:, 3)./w; % tilt_y frf_marble_y(:, 2) = -ReIm3(:, 3)./w./scaling; % tilt_y
frf_marble_y(:, 3) = -scale_factor*ReIm3(:, 4)./w; % hexa_y frf_marble_y(:, 3) = -ReIm3(:, 4)./w./scaling; % hexa_y
load('./raw_data/frf_hexa_y.mat') % ReIm4 load('./raw_data/frf_hexa_y.mat') % ReIm4
frf_hexa_y = zeros(size(ReIm4, 1), 3); frf_hexa_y = zeros(size(ReIm4, 1), 3);
frf_hexa_y(:, 1) = scale_factor*ReIm4(:, 2)./w; % marble_y frf_hexa_y(:, 1) = ReIm4(:, 2)./w./scaling; % marble_y
frf_hexa_y(:, 2) = scale_factor*ReIm4(:, 3)./w; % tilt_y frf_hexa_y(:, 2) = ReIm4(:, 3)./w./scaling; % tilt_y
frf_hexa_y(:, 3) = scale_factor*ReIm4(:, 4)./w; % hexa_y frf_hexa_y(:, 3) = ReIm4(:, 4)./w./scaling; % hexa_y
load('./raw_data/frf_marble_z.mat') % ReIm5 load('./raw_data/frf_marble_z.mat') % ReIm5
frf_marble_z = zeros(size(ReIm5, 1), 3); frf_marble_z = zeros(size(ReIm5, 1), 3);
frf_marble_z(:, 1) = scale_factor*ReIm5(:, 2)./w; % marble_z frf_marble_z(:, 1) = ReIm5(:, 2)./w./scaling; % marble_z
frf_marble_z(:, 2) = scale_factor*ReIm5(:, 3)./w; % tilt_z frf_marble_z(:, 2) = ReIm5(:, 3)./w./scaling; % tilt_z
frf_marble_z(:, 3) = scale_factor*ReIm5(:, 4)./w; % hexa_z frf_marble_z(:, 3) = ReIm5(:, 4)./w./scaling; % hexa_z
load('./raw_data/frf_hexa_z.mat') % ReIm6 load('./raw_data/frf_hexa_z.mat') % ReIm6
frf_hexa_z = zeros(size(ReIm6, 1), 3); frf_hexa_z = zeros(size(ReIm6, 1), 3);
frf_hexa_z(:, 1) = scale_factor*ReIm6(:, 2)./w; % marble_z frf_hexa_z(:, 1) = ReIm6(:, 2)./w./scaling; % marble_z
frf_hexa_z(:, 2) = scale_factor*ReIm6(:, 3)./w; % tilt_z frf_hexa_z(:, 2) = ReIm6(:, 3)./w./scaling; % tilt_z
frf_hexa_z(:, 3) = scale_factor*ReIm6(:, 4)./w; % hexa_z frf_hexa_z(:, 3) = ReIm6(:, 4)./w./scaling; % hexa_z
#+end_src #+end_src
#+begin_src matlab :exports code :results none #+begin_src matlab :exports code :results none
@ -159,6 +171,24 @@ Data is scaled and integrated one time to go from velocity to displacement.
coh_hexa_z(:, 3) = coh6(:, 4); % hexa_z coh_hexa_z(:, 3) = coh6(:, 4); % hexa_z
#+end_src #+end_src
Finally, we save the processed data.
#+begin_src matlab :results none
save('./data/id31_microstation_2018_01_12_frf.mat', ...
'frf_marble_x', ...
'frf_marble_y', ...
'frf_marble_z', ...
'frf_hexa_x', ...
'frf_hexa_y', ...
'frf_hexa_z');
save('./data/id31_microstation_2018_01_12_frf.mat', ...
'coh_marble_x', ...
'coh_marble_y', ...
'coh_marble_z', ...
'coh_hexa_x', ...
'coh_hexa_y', ...
'coh_hexa_z');
#+end_src
** X-direction FRF ** X-direction FRF
#+begin_src matlab :exports none :results none #+begin_src matlab :exports none :results none
figure; figure;
@ -169,7 +199,7 @@ Data is scaled and integrated one time to go from velocity to displacement.
hold off; hold off;
set(gca, 'Xscale', 'log'); set(gca, 'Yscale', 'log'); set(gca, 'Xscale', 'log'); set(gca, 'Yscale', 'log');
xlabel('Frequency [Hz]'); ylabel('Displacement/Force [m/N]'); xlabel('Frequency [Hz]'); ylabel('Displacement/Force [m/N]');
xlim([10, 200]); xticks([10, 20, 50, 100, 200]); xlim([5, 200]); xticks([5, 10, 20, 50, 100, 200]);
legend('Location', 'southwest'); legend('Location', 'southwest');
#+end_src #+end_src
@ -194,7 +224,7 @@ Data is scaled and integrated one time to go from velocity to displacement.
hold off; hold off;
set(gca, 'Xscale', 'log'); set(gca, 'Yscale', 'log'); set(gca, 'Xscale', 'log'); set(gca, 'Yscale', 'log');
xlabel('Frequency [Hz]'); ylabel('Displacement/Force [m/N]'); xlabel('Frequency [Hz]'); ylabel('Displacement/Force [m/N]');
xlim([10, 200]); xticks([10, 20, 50, 100, 200]); xlim([5, 200]); xticks([5, 10, 20, 50, 100, 200]);
legend('Location', 'southwest'); legend('Location', 'southwest');
#+end_src #+end_src
@ -219,7 +249,7 @@ Data is scaled and integrated one time to go from velocity to displacement.
hold off; hold off;
set(gca, 'Xscale', 'log'); set(gca, 'Yscale', 'log'); set(gca, 'Xscale', 'log'); set(gca, 'Yscale', 'log');
xlabel('Frequency [Hz]'); ylabel('Displacement/Force [m/N]'); xlabel('Frequency [Hz]'); ylabel('Displacement/Force [m/N]');
xlim([10, 200]); xticks([10, 20, 50, 100, 200]); xlim([5, 200]); xticks([5, 10, 20, 50, 100, 200]);
legend('Location', 'southwest'); legend('Location', 'southwest');
#+end_src #+end_src
@ -243,7 +273,7 @@ Data is scaled and integrated one time to go from velocity to displacement.
hold off; hold off;
set(gca, 'Xscale', 'log'); set(gca, 'Yscale', 'log'); set(gca, 'Xscale', 'log'); set(gca, 'Yscale', 'log');
xlabel('Frequency [Hz]'); ylabel('Displacement/Force [m/N]'); xlabel('Frequency [Hz]'); ylabel('Displacement/Force [m/N]');
xlim([10, 200]); xticks([10, 20, 50, 100, 200]); xlim([5, 200]); xticks([5, 10, 20, 50, 100, 200]);
legend('Location', 'southwest'); legend('Location', 'southwest');
#+end_src #+end_src
@ -268,7 +298,7 @@ Data is scaled and integrated one time to go from velocity to displacement.
hold off; hold off;
set(gca, 'Xscale', 'log'); set(gca, 'Yscale', 'log'); set(gca, 'Xscale', 'log'); set(gca, 'Yscale', 'log');
xlabel('Frequency [Hz]'); ylabel('Displacement/Force [m/N]'); xlabel('Frequency [Hz]'); ylabel('Displacement/Force [m/N]');
xlim([10, 200]); xticks([10, 20, 50, 100, 200]); xlim([5, 200]); xticks([5, 10, 20, 50, 100, 200]);
legend('Location', 'southwest'); legend('Location', 'southwest');
#+end_src #+end_src
@ -292,7 +322,7 @@ Data is scaled and integrated one time to go from velocity to displacement.
hold off; hold off;
set(gca, 'Xscale', 'log'); set(gca, 'Yscale', 'log'); set(gca, 'Xscale', 'log'); set(gca, 'Yscale', 'log');
xlabel('Frequency [Hz]'); ylabel('Displacement/Force [m/N]'); xlabel('Frequency [Hz]'); ylabel('Displacement/Force [m/N]');
xlim([10, 200]); xticks([10, 20, 50, 100, 200]); xlim([5, 200]); xticks([5, 10, 20, 50, 100, 200]);
legend('Location', 'southwest'); legend('Location', 'southwest');
#+end_src #+end_src

3
actuators-sensors/index.org
View File

@ -187,6 +187,9 @@ Its bode plot is shown on figure [[fig:L4C_bode_plot]].
#+RESULTS: fig:L4C_bode_plot #+RESULTS: fig:L4C_bode_plot
[[file:figs/L4C_bode_plot.png]] [[file:figs/L4C_bode_plot.png]]
*** L-22
- https://www.passcal.nmt.edu/content/instrumentation/sensors/short-period-sensors/l-22-sp-sensor
** Accelerometers ** Accelerometers
*** Pieozoelectric acc. 356b18 - 3 axis *** Pieozoelectric acc. 356b18 - 3 axis
- https://www.pcbpiezotronics.fr/produit/accelerometres/356b18/ - https://www.pcbpiezotronics.fr/produit/accelerometres/356b18/