Add block diagram of piezo model
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index.html
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@@ -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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<!-- 2020-12-16 mer. 11:07 -->
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<!-- 2020-12-17 jeu. 14:55 -->
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<meta http-equiv="Content-Type" content="text/html;charset=utf-8" />
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<title>Amplifier Piezoelectric Actuator APA300ML - Test Bench</title>
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<meta name="generator" content="Org mode" />
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@@ -30,18 +30,21 @@
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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="#org1313e99">1. Model of an Amplified Piezoelectric Actuator and Sensor</a></li>
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<li><a href="#org3c114e3">2. Test-Bench Description</a></li>
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<li><a href="#orgeef8a7b">3. Measurement Procedure</a>
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<li><a href="#org678b530">1. Model of an Amplified Piezoelectric Actuator and Sensor</a></li>
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<li><a href="#orgb60d741">2. Test-Bench Description</a></li>
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<li><a href="#orgf881aa5">3. Measurement Procedure</a>
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<ul>
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<li><a href="#orgf5f4de4">3.1. Stroke Measurement</a></li>
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<li><a href="#orgc6a7f40">3.2. Stiffness Measurement</a></li>
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<li><a href="#orgf924c27">3.3. Hysteresis measurement</a></li>
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<li><a href="#org8dd84d4">3.4. Piezoelectric Actuator Constant</a></li>
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<li><a href="#org133086b">3.5. Piezoelectric Sensor Constant</a></li>
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<li><a href="#org6d5e309">3.6. Capacitance Measurement</a></li>
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<li><a href="#orgd3519e0">3.1. Stroke Measurement</a></li>
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<li><a href="#org6844a7e">3.2. Stiffness Measurement</a></li>
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<li><a href="#org9b16fa0">3.3. Hysteresis measurement</a></li>
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<li><a href="#orgbfe1da1">3.4. Piezoelectric Actuator Constant</a></li>
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<li><a href="#orgb1792b1">3.5. Piezoelectric Sensor Constant</a></li>
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<li><a href="#orgd76cbb5">3.6. Capacitance Measurement</a></li>
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<li><a href="#orgbfe739f">3.7. Dynamical Behavior</a></li>
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<li><a href="#org007452b">3.8. Compare the results obtained for all 7 APA300ML</a></li>
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</ul>
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</li>
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<li><a href="#org7bda022">4. Measurement Results</a></li>
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</ul>
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</div>
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</div>
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@@ -59,15 +62,23 @@ This include:
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<li>Hysteresis</li>
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<li>Gain from the applied voltage \(V_a\) to the generated Force \(F_a\)</li>
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<li>Gain from the sensor stack strain \(\delta L\) to the generated voltage \(V_s\)</li>
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<li>Dynamical behavior</li>
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</ul>
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<div id="outline-container-org1313e99" class="outline-2">
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<h2 id="org1313e99"><span class="section-number-2">1</span> Model of an Amplified Piezoelectric Actuator and Sensor</h2>
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<div id="outline-container-org678b530" class="outline-2">
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<h2 id="org678b530"><span class="section-number-2">1</span> Model of an Amplified Piezoelectric Actuator and Sensor</h2>
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<div class="outline-text-2" id="text-1">
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<p>
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Consider a schematic of the Amplified Piezoelectric Actuator in Figure <a href="#org5dd279e">1</a>.
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Consider a schematic of the Amplified Piezoelectric Actuator in Figure <a href="#orgf04d73b">1</a>.
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</p>
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<div id="orgf04d73b" class="figure">
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<p><img src="figs/apa_model_schematic.png" alt="apa_model_schematic.png" />
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</p>
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<p><span class="figure-number">Figure 1: </span>Amplified Piezoelectric Actuator Schematic</p>
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</div>
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<p>
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A voltage \(V_a\) applied to the actuator stacks will induce an actuator force \(F_a\):
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</p>
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@@ -86,19 +97,23 @@ A change of length \(dl\) of the sensor stack will induce a voltage \(V_s\):
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We wish here to experimental measure \(g_a\) and \(g_s\).
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</p>
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<div id="org5dd279e" class="figure">
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<p><img src="figs/apa_model_schematic.png" alt="apa_model_schematic.png" />
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<p>
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The block-diagram model of the piezoelectric actuator is then as shown in Figure <a href="#org7ba9352">2</a>.
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</p>
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<p><span class="figure-number">Figure 1: </span>Amplified Piezoelectric Actuator Schematic</p>
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<div id="org7ba9352" class="figure">
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<p><img src="figs/apa-model-simscape-schematic.png" alt="apa-model-simscape-schematic.png" />
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</p>
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<p><span class="figure-number">Figure 2: </span>Model of the APA with Simscape/Simulink</p>
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</div>
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</div>
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</div>
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<div id="outline-container-org3c114e3" class="outline-2">
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<h2 id="org3c114e3"><span class="section-number-2">2</span> Test-Bench Description</h2>
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<div id="outline-container-orgb60d741" class="outline-2">
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<h2 id="orgb60d741"><span class="section-number-2">2</span> Test-Bench Description</h2>
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<div class="outline-text-2" id="text-2">
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<div class="note" id="org84f08a9">
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<div class="note" id="org12ee0dc">
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<p>
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Here are the documentation of the equipment used for this test bench:
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</p>
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@@ -113,20 +128,20 @@ Here are the documentation of the equipment used for this test bench:
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</div>
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<div id="org9ba13fa" class="figure">
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<div id="orgfaaa568" class="figure">
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<p><img src="figs/test_bench_apa_alone.png" alt="test_bench_apa_alone.png" />
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</p>
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<p><span class="figure-number">Figure 2: </span>Schematic of the Test Bench</p>
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<p><span class="figure-number">Figure 3: </span>Schematic of the Test Bench</p>
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</div>
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</div>
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</div>
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<div id="outline-container-orgeef8a7b" class="outline-2">
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<h2 id="orgeef8a7b"><span class="section-number-2">3</span> Measurement Procedure</h2>
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<div id="outline-container-orgf881aa5" class="outline-2">
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<h2 id="orgf881aa5"><span class="section-number-2">3</span> Measurement Procedure</h2>
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<div class="outline-text-2" id="text-3">
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</div>
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<div id="outline-container-orgf5f4de4" class="outline-3">
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<h3 id="orgf5f4de4"><span class="section-number-3">3.1</span> Stroke Measurement</h3>
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<div id="outline-container-orgd3519e0" class="outline-3">
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<h3 id="orgd3519e0"><span class="section-number-3">3.1</span> Stroke Measurement</h3>
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<div class="outline-text-3" id="text-3-1">
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<p>
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Using the PD200 amplifier, output a voltage:
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@@ -154,8 +169,8 @@ Conclude on the obtained stroke.
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</div>
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</div>
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<div id="outline-container-orgc6a7f40" class="outline-3">
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<h3 id="orgc6a7f40"><span class="section-number-3">3.2</span> Stiffness Measurement</h3>
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<div id="outline-container-org6844a7e" class="outline-3">
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<h3 id="org6844a7e"><span class="section-number-3">3.2</span> Stiffness Measurement</h3>
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<div class="outline-text-3" id="text-3-2">
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<p>
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Add some (known) weight \(\delta m g\) on the suspended mass and measure the deflection \(\delta d\).
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@@ -175,8 +190,8 @@ Then the obtained stiffness is:
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</div>
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</div>
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<div id="outline-container-orgf924c27" class="outline-3">
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<h3 id="orgf924c27"><span class="section-number-3">3.3</span> Hysteresis measurement</h3>
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<div id="outline-container-org9b16fa0" class="outline-3">
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<h3 id="org9b16fa0"><span class="section-number-3">3.3</span> Hysteresis measurement</h3>
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<div class="outline-text-3" id="text-3-3">
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<p>
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Supply a quasi static sinusoidal excitation \(V_a\) at different voltages.
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@@ -196,8 +211,8 @@ Then, \(d\) is plotted as a function of \(V_a\) for all the amplitudes.
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</div>
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</div>
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<div id="outline-container-org8dd84d4" class="outline-3">
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<h3 id="org8dd84d4"><span class="section-number-3">3.4</span> Piezoelectric Actuator Constant</h3>
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<div id="outline-container-orgbfe1da1" class="outline-3">
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<h3 id="orgbfe1da1"><span class="section-number-3">3.4</span> Piezoelectric Actuator Constant</h3>
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<div class="outline-text-3" id="text-3-4">
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<p>
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Using the measurement test-bench, it is rather easy the determine the static gain between the applied voltage \(V_a\) to the induced displacement \(d\).
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@@ -224,8 +239,8 @@ From the two gains, it is then easy to determine \(g_a\):
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</div>
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</div>
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<div id="outline-container-org133086b" class="outline-3">
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<h3 id="org133086b"><span class="section-number-3">3.5</span> Piezoelectric Sensor Constant</h3>
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<div id="outline-container-orgb1792b1" class="outline-3">
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<h3 id="orgb1792b1"><span class="section-number-3">3.5</span> Piezoelectric Sensor Constant</h3>
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<div class="outline-text-3" id="text-3-5">
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<p>
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From a quasi static (1Hz) excitation of the piezoelectric stack, measure the gain from \(V_a\) to \(V_s\):
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@@ -255,19 +270,49 @@ This external force can be some weight added, or a piezo in parallel.
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</div>
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</div>
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<div id="outline-container-org6d5e309" class="outline-3">
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<h3 id="org6d5e309"><span class="section-number-3">3.6</span> Capacitance Measurement</h3>
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<div id="outline-container-orgd76cbb5" class="outline-3">
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<h3 id="orgd76cbb5"><span class="section-number-3">3.6</span> Capacitance Measurement</h3>
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<div class="outline-text-3" id="text-3-6">
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<p>
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Measure the capacitance of the 3 stacks individually using a precise multi-meter.
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</p>
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</div>
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</div>
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<div id="outline-container-orgbfe739f" class="outline-3">
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<h3 id="orgbfe739f"><span class="section-number-3">3.7</span> Dynamical Behavior</h3>
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<div class="outline-text-3" id="text-3-7">
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<p>
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Perform a system identification from \(V_a\) to the measured displacement \(d\) by the interferometer and by the encoder, and to the general voltage \(V_s\).
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</p>
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<p>
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This can be performed using different excitation signals.
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</p>
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<p>
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This can also be performed with and without the encoder fixed to the APA.
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</p>
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</div>
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</div>
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<div id="outline-container-org007452b" class="outline-3">
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<h3 id="org007452b"><span class="section-number-3">3.8</span> Compare the results obtained for all 7 APA300ML</h3>
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<div class="outline-text-3" id="text-3-8">
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<p>
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Compare all the obtained parameters for all the test APA.
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</p>
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</div>
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</div>
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</div>
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<div id="outline-container-org7bda022" class="outline-2">
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<h2 id="org7bda022"><span class="section-number-2">4</span> Measurement Results</h2>
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</div>
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</div>
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<div id="postamble" class="status">
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<p class="author">Author: Dehaeze Thomas</p>
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<p class="date">Created: 2020-12-16 mer. 11:07</p>
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<p class="date">Created: 2020-12-17 jeu. 14:55</p>
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</div>
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</body>
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</html>
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