Renamed one folder. Add analysis of vibrations when rotating
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index.org
@ -73,6 +73,9 @@ The station is identified again.
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#+end_important
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* Measurements of perturbations
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- [[file:slip-ring-spindle-vibrations/index.org][Measurement of the vibrations induced by the rotation of the slip-ring and spindle]]
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- Measurement of the electrical noise induced by the slip-ring
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** Noise coming from the control loop of each stage
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[[file:2018-10-15%20-%20Marc/index.org][Link to the analysis]]
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@ -135,12 +138,11 @@ The goal is to estimate all the error motions induced by the Spindle
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*** Results
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* Ressources
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- [[file:actuators-sensors/index.org][Actuators and Sensors]]
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- [[file:equipment/equipment.org][Equipment used for the measurements]]
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* Other measurements
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- [[file:huddle-test-geophones/index.org][Huddle Test - Geophones]]
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- [[file:disturbance-measurement/index.org][Disturbance Measurement]]
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- [[file:slip-ring-test/index.org][Slip Ring - Noise measurement]]
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- [[file:static-measurements/index.org][Control System Measurement]]
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* Ressources
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- [[file:actuators-sensors/index.org][Actuators and Sensors]]
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- [[file:equipment/equipment.org][Equipment used for the measurements]]
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@ -289,6 +289,7 @@ We now look at the difference between the signal directly measured by the ADC an
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- Should the measurement be redone using voltage amplifiers?
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- Use higher rotation speed and measure for longer periods (to have multiple revolutions) ?
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#+end_note
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* Measure of the noise induced by the Slip-Ring
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:PROPERTIES:
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:header-args:matlab+: :tangle matlab/meas_slip_ring.m
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@ -88,4 +88,3 @@ Measurements:
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- meas21: Slip-Ring ON
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- meas22: Slip-Ring ON and omega=6rpm
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- meas23: Slip-Ring ON and omega=60rpm
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<a accesskey="h" href="../index.html"> UP </a>
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<a accesskey="H" href="../index.html"> HOME </a>
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</div><div id="content">
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<h1 class="title">Vibrations induced by the Slip-Ring and the Spindle</h1>
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<div id="table-of-contents">
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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="#org8c69ce5">1. Experimental Setup</a></li>
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<li><a href="#orgf453912">2. Data Analysis</a>
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<ul>
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<li><a href="#org9872101">2.1. Load data</a></li>
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<li><a href="#org2ae0836">2.2. Time domain plots</a></li>
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<li><a href="#org679ca5d">2.3. Frequency Domain</a></li>
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<li><a href="#org122a9b6">2.4. Conclusion</a></li>
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</ul>
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</li>
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||||
<h2 id="org8c69ce5"><span class="section-number-2">1</span> Experimental Setup</h2>
|
||||
<div class="outline-text-2" id="text-1">
|
||||
<p>
|
||||
All the stages are OFF.
|
||||
</p>
|
||||
|
||||
<p>
|
||||
Two geophone are use:
|
||||
</p>
|
||||
<ul class="org-ul">
|
||||
<li>One on the marble (corresponding to the first column in the data)</li>
|
||||
<li>One at the sample location (corresponding to the second column in the data)</li>
|
||||
</ul>
|
||||
|
||||
<p>
|
||||
Two voltage amplifiers are used, their setup is:
|
||||
</p>
|
||||
<ul class="org-ul">
|
||||
<li>gain of 60dB</li>
|
||||
<li>AC/DC switch on AC</li>
|
||||
<li>Low pass filter at 1kHz</li>
|
||||
</ul>
|
||||
|
||||
<p>
|
||||
A first order low pass filter is also added at the input of the voltage amplifiers.
|
||||
</p>
|
||||
|
||||
<p>
|
||||
<b>Goal</b>:
|
||||
</p>
|
||||
<ul class="org-ul">
|
||||
<li>Identify the vibrations induced by the rotation of the Slip-Ring and Spindle</li>
|
||||
</ul>
|
||||
|
||||
<p>
|
||||
Three measurements are done:
|
||||
</p>
|
||||
<ul class="org-ul">
|
||||
<li><code>mat/data_024.mat</code>: All the stages are OFF</li>
|
||||
<li><code>mat/data_025.mat</code>: The slip-ring is ON and rotates at 6rpm. The spindle is OFF</li>
|
||||
<li><code>mat/data_026.mat</code>: The slip-ring and spindle are both ON. They are both turning at 6rpm</li>
|
||||
</ul>
|
||||
|
||||
<p>
|
||||
A movie showing the experiment is shown on figure <a href="#org02e3283">1</a>.
|
||||
</p>
|
||||
|
||||
|
||||
<div id="org02e3283" class="figure">
|
||||
<p><img src="./img/VID_20190510_155655.gif" alt="VID_20190510_155655.gif" width="300px" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 1: </span>Movie of the experiment, rotation speed is 6rpm</p>
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-orgf453912" class="outline-2">
|
||||
<h2 id="orgf453912"><span class="section-number-2">2</span> Data Analysis</h2>
|
||||
<div class="outline-text-2" id="text-2">
|
||||
<p>
|
||||
<a id="org611d277"></a>
|
||||
</p>
|
||||
|
||||
<div class="note">
|
||||
<p>
|
||||
All the files (data and Matlab scripts) are accessible <a href="data/spindle_slip_ring_vibrations.zip">here</a>.
|
||||
</p>
|
||||
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-org9872101" class="outline-3">
|
||||
<h3 id="org9872101"><span class="section-number-3">2.1</span> Load data</h3>
|
||||
<div class="outline-text-3" id="text-2-1">
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab">of = load<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'mat/data_024.mat', 'data'</span><span class="org-rainbow-delimiters-depth-1">)</span>; of = of.data;
|
||||
sr = load<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'mat/data_025.mat', 'data'</span><span class="org-rainbow-delimiters-depth-1">)</span>; sr = sr.data;
|
||||
sp = load<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'mat/data_026.mat', 'data'</span><span class="org-rainbow-delimiters-depth-1">)</span>; sp = sp.data;
|
||||
</pre>
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-org2ae0836" class="outline-3">
|
||||
<h3 id="org2ae0836"><span class="section-number-3">2.2</span> Time domain plots</h3>
|
||||
<div class="outline-text-3" id="text-2-2">
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab"><span class="org-type">figure</span>;
|
||||
hold on;
|
||||
plot<span class="org-rainbow-delimiters-depth-1">(</span>sp<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-2">)</span>, sp<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-2">)</span>, 'DisplayName', 'Spindle <span class="org-type">-</span> <span class="org-highlight-numbers-number">6rpm</span>'<span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
plot<span class="org-rainbow-delimiters-depth-1">(</span>sr<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-2">)</span>, sr<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-2">)</span>, 'DisplayName', 'Slip<span class="org-type">-</span>Ring <span class="org-type">-</span> <span class="org-highlight-numbers-number">6rpm</span>'<span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
plot<span class="org-rainbow-delimiters-depth-1">(</span>of<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-2">)</span>, of<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-2">)</span>, <span class="org-string">'DisplayName', 'OFF'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
hold off;
|
||||
xlabel<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'Time </span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">[</span></span><span class="org-string">s</span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">]</span></span><span class="org-string">'</span><span class="org-string"><span class="org-rainbow-delimiters-depth-1">)</span></span><span class="org-string">; ylabel</span><span class="org-string"><span class="org-rainbow-delimiters-depth-1">(</span></span><span class="org-string">'Voltage </span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">[</span></span><span class="org-string">V</span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">]</span></span><span class="org-string">'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbow-delimiters-depth-2">[</span><span class="org-highlight-numbers-number">0</span>, <span class="org-highlight-numbers-number">100</span><span class="org-rainbow-delimiters-depth-2">]</span><span class="org-rainbow-delimiters-depth-1">)</span>; ylim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbow-delimiters-depth-2">[</span><span class="org-type">-</span><span class="org-highlight-numbers-number">10</span> <span class="org-highlight-numbers-number">10</span><span class="org-rainbow-delimiters-depth-2">]</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'Location', 'northeast'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
</pre>
|
||||
</div>
|
||||
|
||||
|
||||
<div id="orgacbbef6" class="figure">
|
||||
<p><img src="figs/slip_ring_spindle_marble_time.png" alt="slip_ring_spindle_marble_time.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 2: </span>Measurement of the geophone located on the marble - Time domain</p>
|
||||
</div>
|
||||
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab"><span class="org-type">figure</span>;
|
||||
hold on;
|
||||
plot<span class="org-rainbow-delimiters-depth-1">(</span>sp<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-2">)</span>, sp<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-2">)</span>, <span class="org-string">'DisplayName', 'Spindle and Slip-Ring'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
plot<span class="org-rainbow-delimiters-depth-1">(</span>sr<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-2">)</span>, sr<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-2">)</span>, <span class="org-string">'DisplayName', 'Only Slip-Ring'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
plot<span class="org-rainbow-delimiters-depth-1">(</span>of<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-2">)</span>, of<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-2">)</span>, <span class="org-string">'DisplayName', 'OFF'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
hold off;
|
||||
xlabel<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'Time </span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">[</span></span><span class="org-string">s</span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">]</span></span><span class="org-string">'</span><span class="org-string"><span class="org-rainbow-delimiters-depth-1">)</span></span><span class="org-string">; ylabel</span><span class="org-string"><span class="org-rainbow-delimiters-depth-1">(</span></span><span class="org-string">'Voltage </span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">[</span></span><span class="org-string">V</span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">]</span></span><span class="org-string">'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbow-delimiters-depth-2">[</span><span class="org-highlight-numbers-number">0</span>, <span class="org-highlight-numbers-number">100</span><span class="org-rainbow-delimiters-depth-2">]</span><span class="org-rainbow-delimiters-depth-1">)</span>; ylim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbow-delimiters-depth-2">[</span><span class="org-type">-</span><span class="org-highlight-numbers-number">10</span> <span class="org-highlight-numbers-number">10</span><span class="org-rainbow-delimiters-depth-2">]</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'Location', 'northeast'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
</pre>
|
||||
</div>
|
||||
|
||||
|
||||
<div id="org17ed71b" class="figure">
|
||||
<p><img src="figs/slip_ring_spindle_sample_time.png" alt="slip_ring_spindle_sample_time.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 3: </span>Measurement of the geophone at the sample location - Time domain</p>
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-org679ca5d" class="outline-3">
|
||||
<h3 id="org679ca5d"><span class="section-number-3">2.3</span> Frequency Domain</h3>
|
||||
<div class="outline-text-3" id="text-2-3">
|
||||
<p>
|
||||
We first compute some parameters that will be used for the PSD computation.
|
||||
</p>
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab">dt = of<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-highlight-numbers-number">2</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-1">)</span><span class="org-type">-</span>of<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-highlight-numbers-number">1</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
|
||||
Fs = <span class="org-highlight-numbers-number">1</span><span class="org-type">/</span>dt; <span class="org-comment">% [Hz]</span>
|
||||
|
||||
win = hanning<span class="org-rainbow-delimiters-depth-1">(</span>ceil<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-highlight-numbers-number">10</span><span class="org-type">*</span>Fs<span class="org-rainbow-delimiters-depth-2">)</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
</pre>
|
||||
</div>
|
||||
|
||||
<p>
|
||||
Then we compute the Power Spectral Density using <code>pwelch</code> function.
|
||||
</p>
|
||||
|
||||
<p>
|
||||
First for the geophone located on the marble
|
||||
</p>
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab"><span class="org-rainbow-delimiters-depth-1">[</span>pxof_m, f<span class="org-rainbow-delimiters-depth-1">]</span> = pwelch<span class="org-rainbow-delimiters-depth-1">(</span>of<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-2">)</span>, win, <span class="org-rainbow-delimiters-depth-2">[]</span>, <span class="org-rainbow-delimiters-depth-2">[]</span>, Fs<span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
<span class="org-rainbow-delimiters-depth-1">[</span>pxsr_m, <span class="org-type">~</span><span class="org-rainbow-delimiters-depth-1">]</span> = pwelch<span class="org-rainbow-delimiters-depth-1">(</span>sr<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-2">)</span>, win, <span class="org-rainbow-delimiters-depth-2">[]</span>, <span class="org-rainbow-delimiters-depth-2">[]</span>, Fs<span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
<span class="org-rainbow-delimiters-depth-1">[</span>pxsp_m, <span class="org-type">~</span><span class="org-rainbow-delimiters-depth-1">]</span> = pwelch<span class="org-rainbow-delimiters-depth-1">(</span>sp<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-2">)</span>, win, <span class="org-rainbow-delimiters-depth-2">[]</span>, <span class="org-rainbow-delimiters-depth-2">[]</span>, Fs<span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
</pre>
|
||||
</div>
|
||||
|
||||
<p>
|
||||
And for the geophone located at the sample position.
|
||||
</p>
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab"><span class="org-rainbow-delimiters-depth-1">[</span>pxof_s, f<span class="org-rainbow-delimiters-depth-1">]</span> = pwelch<span class="org-rainbow-delimiters-depth-1">(</span>of<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-2">)</span>, win, <span class="org-rainbow-delimiters-depth-2">[]</span>, <span class="org-rainbow-delimiters-depth-2">[]</span>, Fs<span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
<span class="org-rainbow-delimiters-depth-1">[</span>pxsr_s, <span class="org-type">~</span><span class="org-rainbow-delimiters-depth-1">]</span> = pwelch<span class="org-rainbow-delimiters-depth-1">(</span>sr<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-2">)</span>, win, <span class="org-rainbow-delimiters-depth-2">[]</span>, <span class="org-rainbow-delimiters-depth-2">[]</span>, Fs<span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
<span class="org-rainbow-delimiters-depth-1">[</span>pxsp_s, <span class="org-type">~</span><span class="org-rainbow-delimiters-depth-1">]</span> = pwelch<span class="org-rainbow-delimiters-depth-1">(</span>sp<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-2">)</span>, win, <span class="org-rainbow-delimiters-depth-2">[]</span>, <span class="org-rainbow-delimiters-depth-2">[]</span>, Fs<span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
</pre>
|
||||
</div>
|
||||
|
||||
<p>
|
||||
And we plot the ASD of the measured signals:
|
||||
</p>
|
||||
<ul class="org-ul">
|
||||
<li>figure <a href="#org9c0e002">4</a> for the geophone located on the marble</li>
|
||||
<li>figure <a href="#orgfbccecc">5</a> for the geophone at the sample position</li>
|
||||
</ul>
|
||||
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab"><span class="org-type">figure</span>;
|
||||
hold on;
|
||||
plot<span class="org-rainbow-delimiters-depth-1">(</span>f, sqrt<span class="org-rainbow-delimiters-depth-2">(</span>pxsp_m<span class="org-rainbow-delimiters-depth-2">)</span>, 'DisplayName', 'Spindle <span class="org-type">-</span> <span class="org-highlight-numbers-number">6rpm</span>'<span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
plot<span class="org-rainbow-delimiters-depth-1">(</span>f, sqrt<span class="org-rainbow-delimiters-depth-2">(</span>pxsr_m<span class="org-rainbow-delimiters-depth-2">)</span>, 'DisplayName', 'Slip<span class="org-type">-</span>Ring <span class="org-type">-</span> <span class="org-highlight-numbers-number">6rpm</span>'<span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
plot<span class="org-rainbow-delimiters-depth-1">(</span>f, sqrt<span class="org-rainbow-delimiters-depth-2">(</span>pxof_m<span class="org-rainbow-delimiters-depth-2">)</span>, <span class="org-string">'DisplayName', 'OFF'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
hold off;
|
||||
<span class="org-type">set</span><span class="org-rainbow-delimiters-depth-1">(</span><span class="org-variable-name">gca</span>, <span class="org-string">'xscale', 'log'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
<span class="org-type">set</span><span class="org-rainbow-delimiters-depth-1">(</span><span class="org-variable-name">gca</span>, <span class="org-string">'yscale', 'log'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
xlabel<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'Frequency </span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">[</span></span><span class="org-string">Hz</span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">]</span></span><span class="org-string">'</span><span class="org-string"><span class="org-rainbow-delimiters-depth-1">)</span></span><span class="org-string">; ylabel</span><span class="org-string"><span class="org-rainbow-delimiters-depth-1">(</span></span><span class="org-string">'</span>ASD of the measured Voltage $<span class="org-type">\</span>left<span class="org-rainbow-delimiters-depth-2">[</span><span class="org-type">\</span>frac<span class="org-rainbow-delimiters-depth-3">{</span>V<span class="org-rainbow-delimiters-depth-3">}{</span><span class="org-type">\</span>sqrt<span class="org-rainbow-delimiters-depth-4">{</span>Hz<span class="org-rainbow-delimiters-depth-4">}</span><span class="org-rainbow-delimiters-depth-3">}</span><span class="org-type">\</span>right<span class="org-rainbow-delimiters-depth-2">]</span>$'<span class="org-rainbow-delimiters-depth-1">)</span>
|
||||
legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'Location', 'southwest'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbow-delimiters-depth-2">[</span><span class="org-highlight-numbers-number">0</span>.<span class="org-highlight-numbers-number">1</span>, <span class="org-highlight-numbers-number">500</span><span class="org-rainbow-delimiters-depth-2">]</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
</pre>
|
||||
</div>
|
||||
|
||||
|
||||
<div id="org9c0e002" class="figure">
|
||||
<p><img src="figs/sr_sp_psd_marble_compare.png" alt="sr_sp_psd_marble_compare.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 4: </span>Comparison of the ASD of the measured voltage from the Geophone on the marble</p>
|
||||
</div>
|
||||
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab"><span class="org-type">figure</span>;
|
||||
hold on;
|
||||
plot<span class="org-rainbow-delimiters-depth-1">(</span>f, sqrt<span class="org-rainbow-delimiters-depth-2">(</span>pxsp_s<span class="org-rainbow-delimiters-depth-2">)</span>, 'DisplayName', 'Spindle <span class="org-type">-</span> <span class="org-highlight-numbers-number">6rpm</span>'<span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
plot<span class="org-rainbow-delimiters-depth-1">(</span>f, sqrt<span class="org-rainbow-delimiters-depth-2">(</span>pxsr_s<span class="org-rainbow-delimiters-depth-2">)</span>, 'DisplayName', 'Slip<span class="org-type">-</span>Ring <span class="org-type">-</span> <span class="org-highlight-numbers-number">6rpm</span>'<span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
plot<span class="org-rainbow-delimiters-depth-1">(</span>f, sqrt<span class="org-rainbow-delimiters-depth-2">(</span>pxof_s<span class="org-rainbow-delimiters-depth-2">)</span>, <span class="org-string">'DisplayName', 'OFF'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
hold off;
|
||||
<span class="org-type">set</span><span class="org-rainbow-delimiters-depth-1">(</span><span class="org-variable-name">gca</span>, <span class="org-string">'xscale', 'log'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
<span class="org-type">set</span><span class="org-rainbow-delimiters-depth-1">(</span><span class="org-variable-name">gca</span>, <span class="org-string">'yscale', 'log'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
xlabel<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'Frequency </span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">[</span></span><span class="org-string">Hz</span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">]</span></span><span class="org-string">'</span><span class="org-string"><span class="org-rainbow-delimiters-depth-1">)</span></span><span class="org-string">; ylabel</span><span class="org-string"><span class="org-rainbow-delimiters-depth-1">(</span></span><span class="org-string">'</span>ASD of the measured Voltage $<span class="org-type">\</span>left<span class="org-rainbow-delimiters-depth-2">[</span><span class="org-type">\</span>frac<span class="org-rainbow-delimiters-depth-3">{</span>V<span class="org-rainbow-delimiters-depth-3">}{</span><span class="org-type">\</span>sqrt<span class="org-rainbow-delimiters-depth-4">{</span>Hz<span class="org-rainbow-delimiters-depth-4">}</span><span class="org-rainbow-delimiters-depth-3">}</span><span class="org-type">\</span>right<span class="org-rainbow-delimiters-depth-2">]</span>$'<span class="org-rainbow-delimiters-depth-1">)</span>
|
||||
legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'Location', 'southwest'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbow-delimiters-depth-2">[</span><span class="org-highlight-numbers-number">0</span>.<span class="org-highlight-numbers-number">1</span>, <span class="org-highlight-numbers-number">500</span><span class="org-rainbow-delimiters-depth-2">]</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
</pre>
|
||||
</div>
|
||||
|
||||
|
||||
<div id="orgfbccecc" class="figure">
|
||||
<p><img src="figs/sr_sp_psd_sample_compare.png" alt="sr_sp_psd_sample_compare.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 5: </span>Comparison of the ASD of the measured voltage from the Geophone at the sample location</p>
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-org122a9b6" class="outline-3">
|
||||
<h3 id="org122a9b6"><span class="section-number-3">2.4</span> Conclusion</h3>
|
||||
<div class="outline-text-3" id="text-2-4">
|
||||
<div class="important">
|
||||
<p>
|
||||
The slip-ring rotation induces almost no vibrations on the marble, and only a little vibrations on the sample above 100Hz.
|
||||
</p>
|
||||
|
||||
<p>
|
||||
The spindle rotation induces a lot of vibrations of the sample as well as on the granite.
|
||||
There is a huge peak at 24Hz on the sample vibration but not on the granite vibration.
|
||||
</p>
|
||||
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
<div id="postamble" class="status">
|
||||
<p class="author">Author: Dehaeze Thomas</p>
|
||||
<p class="date">Created: 2019-05-13 lun. 13:19</p>
|
||||
<p class="validation"><a href="http://validator.w3.org/check?uri=referer">Validate</a></p>
|
||||
</div>
|
||||
</body>
|
||||
</html>
|
||||
205
slip-ring-spindle-vibrations/index.org
Normal file
205
slip-ring-spindle-vibrations/index.org
Normal file
@ -0,0 +1,205 @@
|
||||
#+TITLE: Vibrations induced by the Slip-Ring and the Spindle
|
||||
#+SETUPFILE: ../config.org
|
||||
|
||||
* Experimental Setup
|
||||
All the stages are OFF.
|
||||
|
||||
Two geophone are use:
|
||||
- One on the marble (corresponding to the first column in the data)
|
||||
- One at the sample location (corresponding to the second column in the data)
|
||||
|
||||
Two voltage amplifiers are used, their setup is:
|
||||
- gain of 60dB
|
||||
- AC/DC switch on AC
|
||||
- Low pass filter at 1kHz
|
||||
|
||||
A first order low pass filter is also added at the input of the voltage amplifiers.
|
||||
|
||||
*Goal*:
|
||||
- Identify the vibrations induced by the rotation of the Slip-Ring and Spindle
|
||||
|
||||
Three measurements are done:
|
||||
- =mat/data_024.mat=: All the stages are OFF
|
||||
- =mat/data_025.mat=: The slip-ring is ON and rotates at 6rpm. The spindle is OFF
|
||||
- =mat/data_026.mat=: The slip-ring and spindle are both ON. They are both turning at 6rpm
|
||||
|
||||
A movie showing the experiment is shown on figure [[fig:exp_sl_sp_gif]].
|
||||
|
||||
#+name: fig:exp_sl_sp_gif
|
||||
#+attr_html: :width 300px
|
||||
#+caption: Movie of the experiment, rotation speed is 6rpm
|
||||
[[file:./img/VID_20190510_155655.gif]]
|
||||
|
||||
* Data Analysis
|
||||
:PROPERTIES:
|
||||
:header-args:matlab+: :tangle matlab/spindle_slip_ring_vibrations.m
|
||||
:header-args:matlab+: :comments org :mkdirp yes
|
||||
:END:
|
||||
<<sec:spindle_slip_ring_vibrations>>
|
||||
|
||||
#+begin_src bash :exports none :results none
|
||||
if [ matlab/spindle_slip_ring_vibrations.m -nt data/spindle_slip_ring_vibrations.zip ]; then
|
||||
cp matlab/spindle_slip_ring_vibrations.m spindle_slip_ring_vibrations.m;
|
||||
zip data/spindle_slip_ring_vibrations \
|
||||
mat/data_024.mat \
|
||||
mat/data_025.mat \
|
||||
mat/data_026.mat \
|
||||
spindle_slip_ring_vibrations.m
|
||||
rm spindle_slip_ring_vibrations.m;
|
||||
fi
|
||||
#+end_src
|
||||
|
||||
#+begin_note
|
||||
All the files (data and Matlab scripts) are accessible [[file:data/spindle_slip_ring_vibrations.zip][here]].
|
||||
#+end_note
|
||||
|
||||
** Matlab Init :noexport:ignore:
|
||||
#+begin_src matlab :tangle no :exports none :results silent :noweb yes :var current_dir=(file-name-directory buffer-file-name)
|
||||
<<matlab-dir>>
|
||||
#+end_src
|
||||
|
||||
#+begin_src matlab :exports none :results silent :noweb yes
|
||||
<<matlab-init>>
|
||||
#+end_src
|
||||
|
||||
** Load data
|
||||
#+begin_src matlab
|
||||
of = load('mat/data_024.mat', 'data'); of = of.data;
|
||||
sr = load('mat/data_025.mat', 'data'); sr = sr.data;
|
||||
sp = load('mat/data_026.mat', 'data'); sp = sp.data;
|
||||
#+end_src
|
||||
|
||||
** Time domain plots
|
||||
#+begin_src matlab
|
||||
figure;
|
||||
hold on;
|
||||
plot(sp(:, 3), sp(:, 1), 'DisplayName', 'Spindle - 6rpm');
|
||||
plot(sr(:, 3), sr(:, 1), 'DisplayName', 'Slip-Ring - 6rpm');
|
||||
plot(of(:, 3), of(:, 1), 'DisplayName', 'OFF');
|
||||
hold off;
|
||||
xlabel('Time [s]'); ylabel('Voltage [V]');
|
||||
xlim([0, 100]); ylim([-10 10]);
|
||||
legend('Location', 'northeast');
|
||||
#+end_src
|
||||
|
||||
#+NAME: fig:slip_ring_spindle_marble_time
|
||||
#+HEADER: :tangle no :exports results :results value raw replace :noweb yes
|
||||
#+begin_src matlab :var filepath="figs/slip_ring_spindle_marble_time.pdf" :var figsize="wide-normal" :post pdf2svg(file=*this*, ext="png")
|
||||
<<plt-matlab>>
|
||||
#+end_src
|
||||
|
||||
#+NAME: fig:slip_ring_spindle_marble_time
|
||||
#+CAPTION: Measurement of the geophone located on the marble - Time domain
|
||||
#+RESULTS: fig:slip_ring_spindle_marble_time
|
||||
[[file:figs/slip_ring_spindle_marble_time.png]]
|
||||
|
||||
#+begin_src matlab
|
||||
figure;
|
||||
hold on;
|
||||
plot(sp(:, 3), sp(:, 2), 'DisplayName', 'Spindle and Slip-Ring');
|
||||
plot(sr(:, 3), sr(:, 2), 'DisplayName', 'Only Slip-Ring');
|
||||
plot(of(:, 3), of(:, 2), 'DisplayName', 'OFF');
|
||||
hold off;
|
||||
xlabel('Time [s]'); ylabel('Voltage [V]');
|
||||
xlim([0, 100]); ylim([-10 10]);
|
||||
legend('Location', 'northeast');
|
||||
#+end_src
|
||||
|
||||
#+NAME: fig:slip_ring_spindle_sample_time
|
||||
#+HEADER: :tangle no :exports results :results value raw replace :noweb yes
|
||||
#+begin_src matlab :var filepath="figs/slip_ring_spindle_sample_time.pdf" :var figsize="wide-normal" :post pdf2svg(file=*this*, ext="png")
|
||||
<<plt-matlab>>
|
||||
#+end_src
|
||||
|
||||
#+NAME: fig:slip_ring_spindle_sample_time
|
||||
#+CAPTION: Measurement of the geophone at the sample location - Time domain
|
||||
#+RESULTS: fig:slip_ring_spindle_sample_time
|
||||
[[file:figs/slip_ring_spindle_sample_time.png]]
|
||||
|
||||
** Frequency Domain
|
||||
We first compute some parameters that will be used for the PSD computation.
|
||||
#+begin_src matlab :results none
|
||||
dt = of(2, 3)-of(1, 3);
|
||||
|
||||
Fs = 1/dt; % [Hz]
|
||||
|
||||
win = hanning(ceil(10*Fs));
|
||||
#+end_src
|
||||
|
||||
Then we compute the Power Spectral Density using =pwelch= function.
|
||||
|
||||
First for the geophone located on the marble
|
||||
#+begin_src matlab
|
||||
[pxof_m, f] = pwelch(of(:, 1), win, [], [], Fs);
|
||||
[pxsr_m, ~] = pwelch(sr(:, 1), win, [], [], Fs);
|
||||
[pxsp_m, ~] = pwelch(sp(:, 1), win, [], [], Fs);
|
||||
#+end_src
|
||||
|
||||
And for the geophone located at the sample position.
|
||||
#+begin_src matlab
|
||||
[pxof_s, f] = pwelch(of(:, 2), win, [], [], Fs);
|
||||
[pxsr_s, ~] = pwelch(sr(:, 2), win, [], [], Fs);
|
||||
[pxsp_s, ~] = pwelch(sp(:, 2), win, [], [], Fs);
|
||||
#+end_src
|
||||
|
||||
And we plot the ASD of the measured signals:
|
||||
- figure [[fig:sr_sp_psd_marble_compare]] for the geophone located on the marble
|
||||
- figure [[fig:sr_sp_psd_sample_compare]] for the geophone at the sample position
|
||||
|
||||
#+begin_src matlab :results none
|
||||
figure;
|
||||
hold on;
|
||||
plot(f, sqrt(pxsp_m), 'DisplayName', 'Spindle - 6rpm');
|
||||
plot(f, sqrt(pxsr_m), 'DisplayName', 'Slip-Ring - 6rpm');
|
||||
plot(f, sqrt(pxof_m), 'DisplayName', 'OFF');
|
||||
hold off;
|
||||
set(gca, 'xscale', 'log');
|
||||
set(gca, 'yscale', 'log');
|
||||
xlabel('Frequency [Hz]'); ylabel('ASD of the measured Voltage $\left[\frac{V}{\sqrt{Hz}}\right]$')
|
||||
legend('Location', 'southwest');
|
||||
xlim([0.1, 500]);
|
||||
#+end_src
|
||||
|
||||
#+NAME: fig:sr_sp_psd_marble_compare
|
||||
#+HEADER: :tangle no :exports results :results value raw replace :noweb yes
|
||||
#+begin_src matlab :var filepath="figs/sr_sp_psd_marble_compare.pdf" :var figsize="full-tall" :post pdf2svg(file=*this*, ext="png")
|
||||
<<plt-matlab>>
|
||||
#+end_src
|
||||
|
||||
#+NAME: fig:sr_sp_psd_marble_compare
|
||||
#+CAPTION: Comparison of the ASD of the measured voltage from the Geophone on the marble
|
||||
#+RESULTS: fig:sr_sp_psd_marble_compare
|
||||
[[file:figs/sr_sp_psd_marble_compare.png]]
|
||||
|
||||
#+begin_src matlab :results none
|
||||
figure;
|
||||
hold on;
|
||||
plot(f, sqrt(pxsp_s), 'DisplayName', 'Spindle - 6rpm');
|
||||
plot(f, sqrt(pxsr_s), 'DisplayName', 'Slip-Ring - 6rpm');
|
||||
plot(f, sqrt(pxof_s), 'DisplayName', 'OFF');
|
||||
hold off;
|
||||
set(gca, 'xscale', 'log');
|
||||
set(gca, 'yscale', 'log');
|
||||
xlabel('Frequency [Hz]'); ylabel('ASD of the measured Voltage $\left[\frac{V}{\sqrt{Hz}}\right]$')
|
||||
legend('Location', 'southwest');
|
||||
xlim([0.1, 500]);
|
||||
#+end_src
|
||||
|
||||
#+NAME: fig:sr_sp_psd_sample_compare
|
||||
#+HEADER: :tangle no :exports results :results value raw replace :noweb yes
|
||||
#+begin_src matlab :var filepath="figs/sr_sp_psd_sample_compare.pdf" :var figsize="full-tall" :post pdf2svg(file=*this*, ext="png")
|
||||
<<plt-matlab>>
|
||||
#+end_src
|
||||
|
||||
#+NAME: fig:sr_sp_psd_sample_compare
|
||||
#+CAPTION: Comparison of the ASD of the measured voltage from the Geophone at the sample location
|
||||
#+RESULTS: fig:sr_sp_psd_sample_compare
|
||||
[[file:figs/sr_sp_psd_sample_compare.png]]
|
||||
|
||||
** Conclusion
|
||||
#+begin_important
|
||||
The slip-ring rotation induces almost no vibrations on the marble, and only a little vibrations on the sample above 100Hz.
|
||||
|
||||
The spindle rotation induces a lot of vibrations of the sample as well as on the granite.
|
||||
There is a huge peak at 24Hz on the sample vibration but not on the granite vibration.
|
||||
#+end_important
|
||||
@ -0,0 +1,107 @@
|
||||
%% Clear Workspace and Close figures
|
||||
clear; close all; clc;
|
||||
|
||||
%% Intialize Laplace variable
|
||||
s = zpk('s');
|
||||
|
||||
% Load data
|
||||
|
||||
of = load('mat/data_024.mat', 'data'); of = of.data;
|
||||
sr = load('mat/data_025.mat', 'data'); sr = sr.data;
|
||||
sp = load('mat/data_026.mat', 'data'); sp = sp.data;
|
||||
|
||||
% Time domain plots
|
||||
|
||||
figure;
|
||||
hold on;
|
||||
plot(sp(:, 3), sp(:, 1), 'DisplayName', 'Spindle - 6rpm');
|
||||
plot(sr(:, 3), sr(:, 1), 'DisplayName', 'Slip-Ring - 6rpm');
|
||||
plot(of(:, 3), of(:, 1), 'DisplayName', 'OFF');
|
||||
hold off;
|
||||
xlabel('Time [s]'); ylabel('Voltage [V]');
|
||||
xlim([0, 100]); ylim([-10 10]);
|
||||
legend('Location', 'northeast');
|
||||
|
||||
|
||||
|
||||
% #+NAME: fig:slip_ring_spindle_marble_time
|
||||
% #+CAPTION: Measurement of the geophone located on the marble - Time domain
|
||||
% #+RESULTS: fig:slip_ring_spindle_marble_time
|
||||
% [[file:figs/slip_ring_spindle_marble_time.png]]
|
||||
|
||||
|
||||
figure;
|
||||
hold on;
|
||||
plot(sp(:, 3), sp(:, 2), 'DisplayName', 'Spindle and Slip-Ring');
|
||||
plot(sr(:, 3), sr(:, 2), 'DisplayName', 'Only Slip-Ring');
|
||||
plot(of(:, 3), of(:, 2), 'DisplayName', 'OFF');
|
||||
hold off;
|
||||
xlabel('Time [s]'); ylabel('Voltage [V]');
|
||||
xlim([0, 100]); ylim([-10 10]);
|
||||
legend('Location', 'northeast');
|
||||
|
||||
% Frequency Domain
|
||||
% We first compute some parameters that will be used for the PSD computation.
|
||||
|
||||
dt = of(2, 3)-of(1, 3);
|
||||
|
||||
Fs = 1/dt; % [Hz]
|
||||
|
||||
win = hanning(ceil(10*Fs));
|
||||
|
||||
|
||||
|
||||
% Then we compute the Power Spectral Density using =pwelch= function.
|
||||
|
||||
% First for the geophone located on the marble
|
||||
|
||||
[pxof_m, f] = pwelch(of(:, 1), win, [], [], Fs);
|
||||
[pxsr_m, ~] = pwelch(sr(:, 1), win, [], [], Fs);
|
||||
[pxsp_m, ~] = pwelch(sp(:, 1), win, [], [], Fs);
|
||||
|
||||
|
||||
|
||||
% And for the geophone located at the sample position.
|
||||
|
||||
[pxof_s, f] = pwelch(of(:, 2), win, [], [], Fs);
|
||||
[pxsr_s, ~] = pwelch(sr(:, 2), win, [], [], Fs);
|
||||
[pxsp_s, ~] = pwelch(sp(:, 2), win, [], [], Fs);
|
||||
|
||||
|
||||
|
||||
% And we plot the ASD of the measured signals:
|
||||
% - figure [[fig:sr_sp_psd_marble_compare]] for the geophone located on the marble
|
||||
% - figure [[fig:sr_sp_psd_sample_compare]] for the geophone at the sample position
|
||||
|
||||
|
||||
figure;
|
||||
hold on;
|
||||
plot(f, sqrt(pxsp_m), 'DisplayName', 'Spindle - 6rpm');
|
||||
plot(f, sqrt(pxsr_m), 'DisplayName', 'Slip-Ring - 6rpm');
|
||||
plot(f, sqrt(pxof_m), 'DisplayName', 'OFF');
|
||||
hold off;
|
||||
set(gca, 'xscale', 'log');
|
||||
set(gca, 'yscale', 'log');
|
||||
xlabel('Frequency [Hz]'); ylabel('ASD of the measured Voltage $\left[\frac{V}{\sqrt{Hz}}\right]$')
|
||||
legend('Location', 'southwest');
|
||||
xlim([0.1, 500]);
|
||||
|
||||
|
||||
|
||||
% #+NAME: fig:sr_sp_psd_marble_compare
|
||||
% #+CAPTION: Comparison of the ASD of the measured voltage from the Geophone on the marble
|
||||
% #+RESULTS: fig:sr_sp_psd_marble_compare
|
||||
% [[file:figs/sr_sp_psd_marble_compare.png]]
|
||||
|
||||
|
||||
figure;
|
||||
hold on;
|
||||
plot(f, sqrt(pxsp_s), 'DisplayName', 'Spindle - 6rpm');
|
||||
plot(f, sqrt(pxsr_s), 'DisplayName', 'Slip-Ring - 6rpm');
|
||||
plot(f, sqrt(pxof_s), 'DisplayName', 'OFF');
|
||||
hold off;
|
||||
set(gca, 'xscale', 'log');
|
||||
set(gca, 'yscale', 'log');
|
||||
xlabel('Frequency [Hz]'); ylabel('ASD of the measured Voltage $\left[\frac{V}{\sqrt{Hz}}\right]$')
|
||||
legend('Location', 'southwest');
|
||||
xlim([0.1, 500]);
|
||||
Loading…
x
Reference in New Issue
Block a user