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<div id="content">
<h1 class="title">Matlab Function useful for the analysis</h1>
<div id="table-of-contents">
<h2>Table of Contents</h2>
<div id="text-table-of-contents">
<ul>
<li><a href="#org1c58c54">1. voltageToVelocityL22</a></li>
<li><a href="#org48fff36">2. voltageToDisplacementL22</a></li>
</ul>
</div>
</div>
<div id="outline-container-org1c58c54" class="outline-2">
<h2 id="org1c58c54"><span class="section-number-2">1</span> voltageToVelocityL22</h2>
<div class="outline-text-2" id="text-1">
<p>
<a id="org9aa2e00"></a>
</p>
<p>
This Matlab function is accessible <a href="voltageToVelocityL22.m">here</a>.
</p>
<div class="org-src-container">
<pre class="src src-matlab"><span class="org-keyword">function</span> <span class="org-variable-name"><span class="org-rainbow-delimiters-depth-1">[</span></span><span class="org-variable-name">velocity</span><span class="org-variable-name"><span class="org-rainbow-delimiters-depth-1">]</span></span> = <span class="org-function-name">voltageToVelocityL22</span><span class="org-rainbow-delimiters-depth-1">(</span><span class="org-variable-name">voltage</span>, <span class="org-variable-name">time</span>, <span class="org-variable-name">gain</span><span class="org-rainbow-delimiters-depth-1">)</span>
<span class="org-comment">% voltageToVelocityL22 -</span>
<span class="org-comment">%</span>
<span class="org-comment">% Syntax: [velocity] = voltageToVelocityL22(voltage, time, gain)</span>
<span class="org-comment">%</span>
<span class="org-comment">% Inputs:</span>
<span class="org-comment">% - voltage - Measured voltage</span>
<span class="org-comment">% - time - Time vector</span>
<span class="org-comment">% - gain - Gain of the voltage amplifier in dB</span>
<span class="org-comment">%</span>
<span class="org-comment">% Outputs:</span>
<span class="org-comment">% - velocity -</span>
</pre>
</div>
<div class="org-src-container">
<pre class="src src-matlab">s = zpk<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'s'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
</pre>
</div>
<div class="org-src-container">
<pre class="src src-matlab">S0 = <span class="org-highlight-numbers-number">88</span>; <span class="org-comment">% Sensitivity [V/(m/s)]</span>
f0 = <span class="org-highlight-numbers-number">2</span>; <span class="org-comment">% Cut-off frequnecy [Hz]</span>
S = S0<span class="org-type">*</span><span class="org-rainbow-delimiters-depth-1">(</span>s<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>f0<span class="org-rainbow-delimiters-depth-1">)</span><span class="org-type">/</span><span class="org-rainbow-delimiters-depth-1">(</span><span class="org-highlight-numbers-number">1</span><span class="org-type">+</span>s<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>f0<span class="org-rainbow-delimiters-depth-1">)</span>;
</pre>
</div>
<div class="org-src-container">
<pre class="src src-matlab">velocity = lsim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbow-delimiters-depth-2">(</span>S<span class="org-type">*</span><span class="org-highlight-numbers-number">10</span><span class="org-type">^</span><span class="org-rainbow-delimiters-depth-3">(</span>gain<span class="org-type">/</span><span class="org-highlight-numbers-number">20</span><span class="org-rainbow-delimiters-depth-3">)</span><span class="org-rainbow-delimiters-depth-2">)</span><span class="org-type">\</span><span class="org-highlight-numbers-number">1</span>, voltage, time<span class="org-rainbow-delimiters-depth-1">)</span>;
</pre>
</div>
</div>
</div>
<div id="outline-container-org48fff36" class="outline-2">
<h2 id="org48fff36"><span class="section-number-2">2</span> voltageToDisplacementL22</h2>
<div class="outline-text-2" id="text-2">
<p>
<a id="orgde50f5e"></a>
</p>
<p>
This Matlab function is accessible <a href="voltageToDisplacementL22.m">here</a>.
</p>
<div class="org-src-container">
<pre class="src src-matlab"><span class="org-keyword">function</span> <span class="org-variable-name"><span class="org-rainbow-delimiters-depth-1">[</span></span><span class="org-variable-name">disp</span><span class="org-variable-name"><span class="org-rainbow-delimiters-depth-1">]</span></span> = <span class="org-function-name">voltageToDisplacementL22</span><span class="org-rainbow-delimiters-depth-1">(</span><span class="org-variable-name">voltage</span>, <span class="org-variable-name">time</span>, <span class="org-variable-name">gain</span><span class="org-rainbow-delimiters-depth-1">)</span>
<span class="org-comment">% voltageToDisplacementL22 -</span>
<span class="org-comment">%</span>
<span class="org-comment">% Syntax: [disp] = voltageToDisplacementL22(voltage, time, gain)</span>
<span class="org-comment">%</span>
<span class="org-comment">% Inputs:</span>
<span class="org-comment">% - voltage - Measured voltage</span>
<span class="org-comment">% - time - Time vector</span>
<span class="org-comment">% - gain - Gain of the voltage amplifier in dB</span>
<span class="org-comment">%</span>
<span class="org-comment">% Outputs:</span>
<span class="org-comment">% - disp -</span>
</pre>
</div>
<div class="org-src-container">
<pre class="src src-matlab">s = zpk<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'s'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
</pre>
</div>
<div class="org-src-container">
<pre class="src src-matlab">voltage = voltage <span class="org-type">-</span> mean<span class="org-rainbow-delimiters-depth-1">(</span>voltage<span class="org-rainbow-delimiters-depth-1">)</span>;
velocity = voltageToVelocityL22<span class="org-rainbow-delimiters-depth-1">(</span>voltage, time, gain<span class="org-rainbow-delimiters-depth-1">)</span>;
disp = lsim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-highlight-numbers-number">1</span><span class="org-type">/</span>s, velocity, time<span class="org-rainbow-delimiters-depth-1">)</span>;
</pre>
</div>
</div>
</div>
</div>
<div id="postamble" class="status">
<p class="author">Author: Thomas Dehaeze</p>
<p class="date">Created: 2019-05-14 mar. 17:09</p>
<p class="validation"><a href="http://validator.w3.org/check?uri=referer">Validate</a></p>
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