Add picture of the APA300ML

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Thomas Dehaeze 2021-01-04 14:44:53 +01:00
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"http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd">
<html xmlns="http://www.w3.org/1999/xhtml" lang="en" xml:lang="en">
<head>
<!-- 2020-12-17 jeu. 14:55 -->
<!-- 2021-01-04 lun. 14:44 -->
<meta http-equiv="Content-Type" content="text/html;charset=utf-8" />
<title>Amplifier Piezoelectric Actuator APA300ML - Test Bench</title>
<meta name="generator" content="Org mode" />
@ -30,21 +30,21 @@
<h2>Table of Contents</h2>
<div id="text-table-of-contents">
<ul>
<li><a href="#org678b530">1. Model of an Amplified Piezoelectric Actuator and Sensor</a></li>
<li><a href="#orgb60d741">2. Test-Bench Description</a></li>
<li><a href="#orgf881aa5">3. Measurement Procedure</a>
<li><a href="#org7de9329">1. Model of an Amplified Piezoelectric Actuator and Sensor</a></li>
<li><a href="#orgee5ee06">2. Test-Bench Description</a></li>
<li><a href="#org532e46b">3. Measurement Procedure</a>
<ul>
<li><a href="#orgd3519e0">3.1. Stroke Measurement</a></li>
<li><a href="#org6844a7e">3.2. Stiffness Measurement</a></li>
<li><a href="#org9b16fa0">3.3. Hysteresis measurement</a></li>
<li><a href="#orgbfe1da1">3.4. Piezoelectric Actuator Constant</a></li>
<li><a href="#orgb1792b1">3.5. Piezoelectric Sensor Constant</a></li>
<li><a href="#orgd76cbb5">3.6. Capacitance Measurement</a></li>
<li><a href="#orgbfe739f">3.7. Dynamical Behavior</a></li>
<li><a href="#org007452b">3.8. Compare the results obtained for all 7 APA300ML</a></li>
<li><a href="#org1fa2bb1">3.1. Stroke Measurement</a></li>
<li><a href="#orge53dfac">3.2. Stiffness Measurement</a></li>
<li><a href="#orgd7e3e7b">3.3. Hysteresis measurement</a></li>
<li><a href="#org444da20">3.4. Piezoelectric Actuator Constant</a></li>
<li><a href="#org027bf4a">3.5. Piezoelectric Sensor Constant</a></li>
<li><a href="#org0de7709">3.6. Capacitance Measurement</a></li>
<li><a href="#org66f2e6f">3.7. Dynamical Behavior</a></li>
<li><a href="#orgc275f3f">3.8. Compare the results obtained for all 7 APA300ML</a></li>
</ul>
</li>
<li><a href="#org7bda022">4. Measurement Results</a></li>
<li><a href="#org4ce78ab">4. Measurement Results</a></li>
</ul>
</div>
</div>
@ -65,18 +65,25 @@ This include:
<li>Dynamical behavior</li>
</ul>
<div id="outline-container-org678b530" class="outline-2">
<h2 id="org678b530"><span class="section-number-2">1</span> Model of an Amplified Piezoelectric Actuator and Sensor</h2>
<div id="org084a571" class="figure">
<p><img src="figs/apa300ML.png" alt="apa300ML.png" />
</p>
<p><span class="figure-number">Figure 1: </span>Picture of the APA300ML</p>
</div>
<div id="outline-container-org7de9329" class="outline-2">
<h2 id="org7de9329"><span class="section-number-2">1</span> Model of an Amplified Piezoelectric Actuator and Sensor</h2>
<div class="outline-text-2" id="text-1">
<p>
Consider a schematic of the Amplified Piezoelectric Actuator in Figure <a href="#orgf04d73b">1</a>.
Consider a schematic of the Amplified Piezoelectric Actuator in Figure <a href="#org2231a2d">2</a>.
</p>
<div id="orgf04d73b" class="figure">
<div id="org2231a2d" class="figure">
<p><img src="figs/apa_model_schematic.png" alt="apa_model_schematic.png" />
</p>
<p><span class="figure-number">Figure 1: </span>Amplified Piezoelectric Actuator Schematic</p>
<p><span class="figure-number">Figure 2: </span>Amplified Piezoelectric Actuator Schematic</p>
</div>
<p>
@ -98,22 +105,22 @@ We wish here to experimental measure \(g_a\) and \(g_s\).
</p>
<p>
The block-diagram model of the piezoelectric actuator is then as shown in Figure <a href="#org7ba9352">2</a>.
The block-diagram model of the piezoelectric actuator is then as shown in Figure <a href="#orge718081">3</a>.
</p>
<div id="org7ba9352" class="figure">
<div id="orge718081" class="figure">
<p><img src="figs/apa-model-simscape-schematic.png" alt="apa-model-simscape-schematic.png" />
</p>
<p><span class="figure-number">Figure 2: </span>Model of the APA with Simscape/Simulink</p>
<p><span class="figure-number">Figure 3: </span>Model of the APA with Simscape/Simulink</p>
</div>
</div>
</div>
<div id="outline-container-orgb60d741" class="outline-2">
<h2 id="orgb60d741"><span class="section-number-2">2</span> Test-Bench Description</h2>
<div id="outline-container-orgee5ee06" class="outline-2">
<h2 id="orgee5ee06"><span class="section-number-2">2</span> Test-Bench Description</h2>
<div class="outline-text-2" id="text-2">
<div class="note" id="org12ee0dc">
<div class="note" id="org5799347">
<p>
Here are the documentation of the equipment used for this test bench:
</p>
@ -128,20 +135,20 @@ Here are the documentation of the equipment used for this test bench:
</div>
<div id="orgfaaa568" class="figure">
<div id="org6705e31" class="figure">
<p><img src="figs/test_bench_apa_alone.png" alt="test_bench_apa_alone.png" />
</p>
<p><span class="figure-number">Figure 3: </span>Schematic of the Test Bench</p>
<p><span class="figure-number">Figure 4: </span>Schematic of the Test Bench</p>
</div>
</div>
</div>
<div id="outline-container-orgf881aa5" class="outline-2">
<h2 id="orgf881aa5"><span class="section-number-2">3</span> Measurement Procedure</h2>
<div id="outline-container-org532e46b" class="outline-2">
<h2 id="org532e46b"><span class="section-number-2">3</span> Measurement Procedure</h2>
<div class="outline-text-2" id="text-3">
</div>
<div id="outline-container-orgd3519e0" class="outline-3">
<h3 id="orgd3519e0"><span class="section-number-3">3.1</span> Stroke Measurement</h3>
<div id="outline-container-org1fa2bb1" class="outline-3">
<h3 id="org1fa2bb1"><span class="section-number-3">3.1</span> Stroke Measurement</h3>
<div class="outline-text-3" id="text-3-1">
<p>
Using the PD200 amplifier, output a voltage:
@ -169,8 +176,8 @@ Conclude on the obtained stroke.
</div>
</div>
<div id="outline-container-org6844a7e" class="outline-3">
<h3 id="org6844a7e"><span class="section-number-3">3.2</span> Stiffness Measurement</h3>
<div id="outline-container-orge53dfac" class="outline-3">
<h3 id="orge53dfac"><span class="section-number-3">3.2</span> Stiffness Measurement</h3>
<div class="outline-text-3" id="text-3-2">
<p>
Add some (known) weight \(\delta m g\) on the suspended mass and measure the deflection \(\delta d\).
@ -190,8 +197,8 @@ Then the obtained stiffness is:
</div>
</div>
<div id="outline-container-org9b16fa0" class="outline-3">
<h3 id="org9b16fa0"><span class="section-number-3">3.3</span> Hysteresis measurement</h3>
<div id="outline-container-orgd7e3e7b" class="outline-3">
<h3 id="orgd7e3e7b"><span class="section-number-3">3.3</span> Hysteresis measurement</h3>
<div class="outline-text-3" id="text-3-3">
<p>
Supply a quasi static sinusoidal excitation \(V_a\) at different voltages.
@ -211,8 +218,8 @@ Then, \(d\) is plotted as a function of \(V_a\) for all the amplitudes.
</div>
</div>
<div id="outline-container-orgbfe1da1" class="outline-3">
<h3 id="orgbfe1da1"><span class="section-number-3">3.4</span> Piezoelectric Actuator Constant</h3>
<div id="outline-container-org444da20" class="outline-3">
<h3 id="org444da20"><span class="section-number-3">3.4</span> Piezoelectric Actuator Constant</h3>
<div class="outline-text-3" id="text-3-4">
<p>
Using the measurement test-bench, it is rather easy the determine the static gain between the applied voltage \(V_a\) to the induced displacement \(d\).
@ -239,8 +246,8 @@ From the two gains, it is then easy to determine \(g_a\):
</div>
</div>
<div id="outline-container-orgb1792b1" class="outline-3">
<h3 id="orgb1792b1"><span class="section-number-3">3.5</span> Piezoelectric Sensor Constant</h3>
<div id="outline-container-org027bf4a" class="outline-3">
<h3 id="org027bf4a"><span class="section-number-3">3.5</span> Piezoelectric Sensor Constant</h3>
<div class="outline-text-3" id="text-3-5">
<p>
From a quasi static (1Hz) excitation of the piezoelectric stack, measure the gain from \(V_a\) to \(V_s\):
@ -270,8 +277,8 @@ This external force can be some weight added, or a piezo in parallel.
</div>
</div>
<div id="outline-container-orgd76cbb5" class="outline-3">
<h3 id="orgd76cbb5"><span class="section-number-3">3.6</span> Capacitance Measurement</h3>
<div id="outline-container-org0de7709" class="outline-3">
<h3 id="org0de7709"><span class="section-number-3">3.6</span> Capacitance Measurement</h3>
<div class="outline-text-3" id="text-3-6">
<p>
Measure the capacitance of the 3 stacks individually using a precise multi-meter.
@ -279,8 +286,8 @@ Measure the capacitance of the 3 stacks individually using a precise multi-meter
</div>
</div>
<div id="outline-container-orgbfe739f" class="outline-3">
<h3 id="orgbfe739f"><span class="section-number-3">3.7</span> Dynamical Behavior</h3>
<div id="outline-container-org66f2e6f" class="outline-3">
<h3 id="org66f2e6f"><span class="section-number-3">3.7</span> Dynamical Behavior</h3>
<div class="outline-text-3" id="text-3-7">
<p>
Perform a system identification from \(V_a\) to the measured displacement \(d\) by the interferometer and by the encoder, and to the general voltage \(V_s\).
@ -296,8 +303,8 @@ This can also be performed with and without the encoder fixed to the APA.
</div>
</div>
<div id="outline-container-org007452b" class="outline-3">
<h3 id="org007452b"><span class="section-number-3">3.8</span> Compare the results obtained for all 7 APA300ML</h3>
<div id="outline-container-orgc275f3f" class="outline-3">
<h3 id="orgc275f3f"><span class="section-number-3">3.8</span> Compare the results obtained for all 7 APA300ML</h3>
<div class="outline-text-3" id="text-3-8">
<p>
Compare all the obtained parameters for all the test APA.
@ -306,13 +313,13 @@ Compare all the obtained parameters for all the test APA.
</div>
</div>
<div id="outline-container-org7bda022" class="outline-2">
<h2 id="org7bda022"><span class="section-number-2">4</span> Measurement Results</h2>
<div id="outline-container-org4ce78ab" class="outline-2">
<h2 id="org4ce78ab"><span class="section-number-2">4</span> Measurement Results</h2>
</div>
</div>
<div id="postamble" class="status">
<p class="author">Author: Dehaeze Thomas</p>
<p class="date">Created: 2020-12-17 jeu. 14:55</p>
<p class="date">Created: 2021-01-04 lun. 14:44</p>
</div>
</body>
</html>

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@ -52,6 +52,10 @@ This include:
- Gain from the sensor stack strain $\delta L$ to the generated voltage $V_s$
- Dynamical behavior
#+name: fig:apa300ML
#+caption: Picture of the APA300ML
[[file:figs/apa300ML.png]]
* Model of an Amplified Piezoelectric Actuator and Sensor
Consider a schematic of the Amplified Piezoelectric Actuator in Figure [[fig:apa_model_schematic]].