Add some test benches
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index.html
114
index.html
@@ -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. 14:07 -->
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<!-- 2020-12-17 jeu. 14:54 -->
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<meta http-equiv="Content-Type" content="text/html;charset=utf-8" />
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<title>Encoder Renishaw Vionic - Test Bench</title>
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<meta name="generator" content="Org mode" />
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@@ -30,15 +30,15 @@
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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="#org096db33">1. Encoder Model</a></li>
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<li><a href="#orga6d0b8e">2. Test-Bench Description</a></li>
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<li><a href="#orgfc138a6">3. Measurement procedure</a></li>
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<li><a href="#orgcddc280">4. Measurement Results</a></li>
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<li><a href="#org52a1b18">1. Encoder Model</a></li>
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<li><a href="#org79c9cb0">2. Test-Bench Description</a></li>
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<li><a href="#org68a3dfb">3. Measurement procedure</a></li>
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<li><a href="#orgf207a65">4. Measurement Results</a></li>
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</ul>
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</div>
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</div>
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<div class="note" id="org89964c6">
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<div class="note" id="orgf5882b4">
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<p>
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You can find below the document of:
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</p>
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@@ -57,13 +57,13 @@ We would like to characterize the encoder measurement system.
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In particular, we would like to measure:
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</p>
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<ul class="org-ul">
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<li>Bandwidth/dynamics of the sensor</li>
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<li>Power Spectral Density of the measurement noise</li>
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<li>Linearity/resolution of the sensor</li>
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<li>Bandwidth of the sensor</li>
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<li>Linearity of the sensor</li>
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</ul>
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<div id="outline-container-org096db33" class="outline-2">
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<h2 id="org096db33"><span class="section-number-2">1</span> Encoder Model</h2>
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<div id="outline-container-org52a1b18" class="outline-2">
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<h2 id="org52a1b18"><span class="section-number-2">1</span> Encoder Model</h2>
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<div class="outline-text-2" id="text-1">
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<p>
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The Encoder is characterized by its dynamics \(G_m(s)\) from the “true” displacement \(y\) to measured displacement \(y_m\).
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@@ -75,20 +75,62 @@ It is also characterized by its measurement noise \(n\) that can be described by
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</p>
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<p>
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The model of the encoder is shown in Figure <a href="#org8c743b3">1</a>.
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The model of the encoder is shown in Figure <a href="#org131b7a7">1</a>.
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</p>
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<div id="org8c743b3" class="figure">
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<div id="org131b7a7" class="figure">
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<p><img src="figs/encoder-model-schematic.png" alt="encoder-model-schematic.png" />
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</p>
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<p><span class="figure-number">Figure 1: </span>Model of the Encoder</p>
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</div>
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<table id="org00cec14" border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
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<caption class="t-above"><span class="table-number">Table 1:</span> Characteristics of the Vionic Encoder</caption>
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<colgroup>
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<col class="org-left" />
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<col class="org-left" />
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</colgroup>
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<thead>
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<tr>
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<th scope="col" class="org-left"><b>Characteristics</b></th>
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<th scope="col" class="org-left"><b>Manual</b></th>
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</tr>
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</thead>
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<tbody>
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<tr>
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<td class="org-left">Resolution</td>
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<td class="org-left">2.5nm</td>
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</tr>
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<tr>
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<td class="org-left">Sub-Divisional Error</td>
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<td class="org-left">\(< \pm 15\,nm\)</td>
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</tr>
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<tr>
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<td class="org-left">Bandwidth</td>
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<td class="org-left">> 50 kHz</td>
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</tr>
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</tbody>
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</table>
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<div id="orgd22d423" class="figure">
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<p><img src="./figs/vionic_expected_noise.png" alt="vionic_expected_noise.png" />
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</p>
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<p><span class="figure-number">Figure 2: </span>Expected interpolation errors for the Vionic Encoder</p>
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</div>
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</div>
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</div>
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<div id="outline-container-orga6d0b8e" class="outline-2">
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<h2 id="orga6d0b8e"><span class="section-number-2">2</span> Test-Bench Description</h2>
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<div id="outline-container-org79c9cb0" class="outline-2">
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<h2 id="org79c9cb0"><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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<p>
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To measure the noise \(n\) of the encoder, one can rigidly fix the head and the ruler together such that no motion should be measured.
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@@ -97,23 +139,55 @@ Then, the measured signal \(y_m\) corresponds to the noise \(n\).
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<p>
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In order to measure the linearity, we have to compare the measured displacement with a reference sensor with a known linearity.
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An interferometer or capacitive sensor should work.
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An interferometer or capacitive sensor should work fine.
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An actuator should also be there so impose a displacement.
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</p>
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<p>
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One idea is to use the test-bench shown in Figure <a href="#org1bd058e">3</a>.
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</p>
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<p>
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The APA300ML is used to excite the mass in a broad bandwidth.
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The motion is measured at the same time by the Vionic Encoder and by an interferometer (most likely an Attocube).
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</p>
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<p>
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As the interferometer has a very large bandwidth, we should be able to estimate the bandwidth of the encoder is it is less than the Nyquist frequency (~ 5kHz).
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</p>
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<div id="org1bd058e" class="figure">
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<p><img src="figs/test_bench_encoder_calibration.png" alt="test_bench_encoder_calibration.png" />
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</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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<p>
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To measure the noise of the sensor, we can also simply measure the output signal when the relative motion between the encoder and the ruler is null.
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This can be done by clamping the two as done in the mounting strut tool (Figure <a href="#orgfdf8d08">4</a>).
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</p>
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<div id="orgfdf8d08" class="figure">
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<p><img src="figs/test_bench_measure_noise.png" alt="test_bench_measure_noise.png" />
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</p>
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<p><span class="figure-number">Figure 4: </span>Mounting Strut test bench as a clamping method to measure the encoder noise.</p>
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</div>
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</div>
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</div>
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<div id="outline-container-orgfc138a6" class="outline-2">
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<h2 id="orgfc138a6"><span class="section-number-2">3</span> Measurement procedure</h2>
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<div id="outline-container-org68a3dfb" class="outline-2">
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<h2 id="org68a3dfb"><span class="section-number-2">3</span> Measurement procedure</h2>
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</div>
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<div id="outline-container-orgcddc280" class="outline-2">
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<h2 id="orgcddc280"><span class="section-number-2">4</span> Measurement Results</h2>
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<div id="outline-container-orgf207a65" class="outline-2">
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<h2 id="orgf207a65"><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. 14:07</p>
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<p class="date">Created: 2020-12-17 jeu. 14:54</p>
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</div>
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</body>
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</html>
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