Add block diagram of piezo model
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figs/apa-model-simscape-schematic.svg
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After Width: | Height: | Size: 36 KiB |
119
index.html
119
index.html
@ -3,7 +3,7 @@
|
||||
"http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd">
|
||||
<html xmlns="http://www.w3.org/1999/xhtml" lang="en" xml:lang="en">
|
||||
<head>
|
||||
<!-- 2020-12-16 mer. 11:07 -->
|
||||
<!-- 2020-12-17 jeu. 14:55 -->
|
||||
<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" />
|
||||
@ -30,18 +30,21 @@
|
||||
<h2>Table of Contents</h2>
|
||||
<div id="text-table-of-contents">
|
||||
<ul>
|
||||
<li><a href="#org1313e99">1. Model of an Amplified Piezoelectric Actuator and Sensor</a></li>
|
||||
<li><a href="#org3c114e3">2. Test-Bench Description</a></li>
|
||||
<li><a href="#orgeef8a7b">3. Measurement Procedure</a>
|
||||
<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>
|
||||
<ul>
|
||||
<li><a href="#orgf5f4de4">3.1. Stroke Measurement</a></li>
|
||||
<li><a href="#orgc6a7f40">3.2. Stiffness Measurement</a></li>
|
||||
<li><a href="#orgf924c27">3.3. Hysteresis measurement</a></li>
|
||||
<li><a href="#org8dd84d4">3.4. Piezoelectric Actuator Constant</a></li>
|
||||
<li><a href="#org133086b">3.5. Piezoelectric Sensor Constant</a></li>
|
||||
<li><a href="#org6d5e309">3.6. Capacitance Measurement</a></li>
|
||||
<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>
|
||||
</ul>
|
||||
</li>
|
||||
<li><a href="#org7bda022">4. Measurement Results</a></li>
|
||||
</ul>
|
||||
</div>
|
||||
</div>
|
||||
@ -59,15 +62,23 @@ This include:
|
||||
<li>Hysteresis</li>
|
||||
<li>Gain from the applied voltage \(V_a\) to the generated Force \(F_a\)</li>
|
||||
<li>Gain from the sensor stack strain \(\delta L\) to the generated voltage \(V_s\)</li>
|
||||
<li>Dynamical behavior</li>
|
||||
</ul>
|
||||
|
||||
<div id="outline-container-org1313e99" class="outline-2">
|
||||
<h2 id="org1313e99"><span class="section-number-2">1</span> Model of an Amplified Piezoelectric Actuator and Sensor</h2>
|
||||
<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 class="outline-text-2" id="text-1">
|
||||
<p>
|
||||
Consider a schematic of the Amplified Piezoelectric Actuator in Figure <a href="#org5dd279e">1</a>.
|
||||
Consider a schematic of the Amplified Piezoelectric Actuator in Figure <a href="#orgf04d73b">1</a>.
|
||||
</p>
|
||||
|
||||
|
||||
<div id="orgf04d73b" 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>
|
||||
</div>
|
||||
|
||||
<p>
|
||||
A voltage \(V_a\) applied to the actuator stacks will induce an actuator force \(F_a\):
|
||||
</p>
|
||||
@ -86,19 +97,23 @@ A change of length \(dl\) of the sensor stack will induce a voltage \(V_s\):
|
||||
We wish here to experimental measure \(g_a\) and \(g_s\).
|
||||
</p>
|
||||
|
||||
|
||||
<div id="org5dd279e" class="figure">
|
||||
<p><img src="figs/apa_model_schematic.png" alt="apa_model_schematic.png" />
|
||||
<p>
|
||||
The block-diagram model of the piezoelectric actuator is then as shown in Figure <a href="#org7ba9352">2</a>.
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 1: </span>Amplified Piezoelectric Actuator Schematic</p>
|
||||
|
||||
|
||||
<div id="org7ba9352" 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>
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-org3c114e3" class="outline-2">
|
||||
<h2 id="org3c114e3"><span class="section-number-2">2</span> Test-Bench Description</h2>
|
||||
<div id="outline-container-orgb60d741" class="outline-2">
|
||||
<h2 id="orgb60d741"><span class="section-number-2">2</span> Test-Bench Description</h2>
|
||||
<div class="outline-text-2" id="text-2">
|
||||
<div class="note" id="org84f08a9">
|
||||
<div class="note" id="org12ee0dc">
|
||||
<p>
|
||||
Here are the documentation of the equipment used for this test bench:
|
||||
</p>
|
||||
@ -113,20 +128,20 @@ Here are the documentation of the equipment used for this test bench:
|
||||
</div>
|
||||
|
||||
|
||||
<div id="org9ba13fa" class="figure">
|
||||
<div id="orgfaaa568" class="figure">
|
||||
<p><img src="figs/test_bench_apa_alone.png" alt="test_bench_apa_alone.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 2: </span>Schematic of the Test Bench</p>
|
||||
<p><span class="figure-number">Figure 3: </span>Schematic of the Test Bench</p>
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-orgeef8a7b" class="outline-2">
|
||||
<h2 id="orgeef8a7b"><span class="section-number-2">3</span> Measurement Procedure</h2>
|
||||
<div id="outline-container-orgf881aa5" class="outline-2">
|
||||
<h2 id="orgf881aa5"><span class="section-number-2">3</span> Measurement Procedure</h2>
|
||||
<div class="outline-text-2" id="text-3">
|
||||
</div>
|
||||
<div id="outline-container-orgf5f4de4" class="outline-3">
|
||||
<h3 id="orgf5f4de4"><span class="section-number-3">3.1</span> Stroke Measurement</h3>
|
||||
<div id="outline-container-orgd3519e0" class="outline-3">
|
||||
<h3 id="orgd3519e0"><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:
|
||||
@ -154,8 +169,8 @@ Conclude on the obtained stroke.
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-orgc6a7f40" class="outline-3">
|
||||
<h3 id="orgc6a7f40"><span class="section-number-3">3.2</span> Stiffness Measurement</h3>
|
||||
<div id="outline-container-org6844a7e" class="outline-3">
|
||||
<h3 id="org6844a7e"><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 \(\delta d\).
|
||||
@ -175,8 +190,8 @@ Then the obtained stiffness is:
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-orgf924c27" class="outline-3">
|
||||
<h3 id="orgf924c27"><span class="section-number-3">3.3</span> Hysteresis measurement</h3>
|
||||
<div id="outline-container-org9b16fa0" class="outline-3">
|
||||
<h3 id="org9b16fa0"><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.
|
||||
@ -196,8 +211,8 @@ Then, \(d\) is plotted as a function of \(V_a\) for all the amplitudes.
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-org8dd84d4" class="outline-3">
|
||||
<h3 id="org8dd84d4"><span class="section-number-3">3.4</span> Piezoelectric Actuator Constant</h3>
|
||||
<div id="outline-container-orgbfe1da1" class="outline-3">
|
||||
<h3 id="orgbfe1da1"><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 \(d\).
|
||||
@ -224,8 +239,8 @@ From the two gains, it is then easy to determine \(g_a\):
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-org133086b" class="outline-3">
|
||||
<h3 id="org133086b"><span class="section-number-3">3.5</span> Piezoelectric Sensor Constant</h3>
|
||||
<div id="outline-container-orgb1792b1" class="outline-3">
|
||||
<h3 id="orgb1792b1"><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 \(V_s\):
|
||||
@ -255,19 +270,49 @@ This external force can be some weight added, or a piezo in parallel.
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-org6d5e309" class="outline-3">
|
||||
<h3 id="org6d5e309"><span class="section-number-3">3.6</span> Capacitance Measurement</h3>
|
||||
<div id="outline-container-orgd76cbb5" class="outline-3">
|
||||
<h3 id="orgd76cbb5"><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.
|
||||
</p>
|
||||
</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 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 \(V_s\).
|
||||
</p>
|
||||
|
||||
<p>
|
||||
This can be performed using different excitation signals.
|
||||
</p>
|
||||
|
||||
<p>
|
||||
This can also be performed with and without the encoder fixed to the APA.
|
||||
</p>
|
||||
</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 class="outline-text-3" id="text-3-8">
|
||||
<p>
|
||||
Compare all the obtained parameters for all the test APA.
|
||||
</p>
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-org7bda022" class="outline-2">
|
||||
<h2 id="org7bda022"><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: 2020-12-16 mer. 11:07</p>
|
||||
<p class="date">Created: 2020-12-17 jeu. 14:55</p>
|
||||
</div>
|
||||
</body>
|
||||
</html>
|
||||
|
||||
43
index.org
43
index.org
@ -50,11 +50,16 @@ This include:
|
||||
- Hysteresis
|
||||
- Gain from the applied voltage $V_a$ to the generated Force $F_a$
|
||||
- Gain from the sensor stack strain $\delta L$ to the generated voltage $V_s$
|
||||
- Dynamical behavior
|
||||
|
||||
* Model of an Amplified Piezoelectric Actuator and Sensor
|
||||
|
||||
Consider a schematic of the Amplified Piezoelectric Actuator in Figure [[fig:apa_model_schematic]].
|
||||
|
||||
#+name: fig:apa_model_schematic
|
||||
#+caption: Amplified Piezoelectric Actuator Schematic
|
||||
[[file:figs/apa_model_schematic.png]]
|
||||
|
||||
A voltage $V_a$ applied to the actuator stacks will induce an actuator force $F_a$:
|
||||
\begin{equation}
|
||||
F_a = g_a \cdot V_a
|
||||
@ -67,9 +72,25 @@ A change of length $dl$ of the sensor stack will induce a voltage $V_s$:
|
||||
|
||||
We wish here to experimental measure $g_a$ and $g_s$.
|
||||
|
||||
#+name: fig:apa_model_schematic
|
||||
#+caption: Amplified Piezoelectric Actuator Schematic
|
||||
[[file:figs/apa_model_schematic.png]]
|
||||
The block-diagram model of the piezoelectric actuator is then as shown in Figure [[fig:apa-model-simscape-schematic]].
|
||||
|
||||
#+begin_src latex :file apa-model-simscape-schematic.pdf
|
||||
\begin{tikzpicture}
|
||||
\node[block={2.0cm}{2.0cm}, align=center] (model) at (0,0){Simscape\\Model};
|
||||
\node[block, left=1.0 of model] (ga){$g_a(s)$};
|
||||
\node[block, right=1.0 of model] (gs){$g_s(s)$};
|
||||
|
||||
\draw[<-] (ga.west) -- node[midway, above]{$V_a$} node[midway, below]{$[V]$} ++(-1.0, 0);
|
||||
\draw[->] (ga.east) --node[midway, above]{$F_a$} node[midway, below]{$[N]$} (model.west);
|
||||
\draw[->] (model.east) --node[midway, above]{$dl$} node[midway, below]{$[m]$} (gs.west);
|
||||
\draw[->] (gs.east) -- node[midway, above]{$V_s$} node[midway, below]{$[V]$} ++(1.0, 0);
|
||||
\end{tikzpicture}
|
||||
#+end_src
|
||||
|
||||
#+name: fig:apa-model-simscape-schematic
|
||||
#+caption: Model of the APA with Simscape/Simulink
|
||||
#+RESULTS:
|
||||
[[file:figs/apa-model-simscape-schematic.png]]
|
||||
|
||||
* Test-Bench Description
|
||||
|
||||
@ -87,6 +108,8 @@ Here are the documentation of the equipment used for this test bench:
|
||||
[[file:figs/test_bench_apa_alone.png]]
|
||||
|
||||
* Measurement Procedure
|
||||
** Introduction :ignore:
|
||||
|
||||
** Stroke Measurement
|
||||
|
||||
Using the PD200 amplifier, output a voltage:
|
||||
@ -167,3 +190,17 @@ This external force can be some weight added, or a piezo in parallel.
|
||||
** Capacitance Measurement
|
||||
|
||||
Measure the capacitance of the 3 stacks individually using a precise multi-meter.
|
||||
|
||||
** Dynamical Behavior
|
||||
|
||||
Perform a system identification from $V_a$ to the measured displacement $d$ by the interferometer and by the encoder, and to the general voltage $V_s$.
|
||||
|
||||
This can be performed using different excitation signals.
|
||||
|
||||
This can also be performed with and without the encoder fixed to the APA.
|
||||
|
||||
** Compare the results obtained for all 7 APA300ML
|
||||
|
||||
Compare all the obtained parameters for all the test APA.
|
||||
|
||||
* Measurement Results
|
||||
|
||||
Loading…
Reference in New Issue
Block a user