Table of Contents
-
-
- 1. Experimental Setup -
- 2. Noise Spectral Density of the Encoder +
- 1. Experimental Setup +
- 2. Noise Spectral Density of the Encoder -
- 3. Dynamics from Actuator to Encoder +
- 3. Dynamics from Actuator to Encoder
-
-
- Section 1: the test-bench used is described -
- Section 2: the noise spectral density of the encoder is estimated -
- Section 3: the dynamics from the amplified piezoelectric actuator to the encoder measured displacement is identified +
- Section 1: the test-bench used is described +
- Section 2: the noise spectral density of the encoder is estimated +
- Section 3: the dynamics from the amplified piezoelectric actuator to the encoder measured displacement is identified
-
1 Experimental Setup
+
+
1 Experimental Setup
-The experimental Setup is schematically represented in Figure 1. +The experimental Setup is schematically represented in Figure 1.
-
+
Here are the equipment used in the test bench:
@@ -89,21 +85,21 @@ The displacement of the mass (relative to the mechanical frame) is measured both -
+
-
Figure 1: Schematic of the Experiment
+
-
Figure 2: Side View of the encoder
+
-
Figure 3: Front View of the encoder
@@ -111,11 +107,11 @@ The displacement of the mass (relative to the mechanical frame) is measured both
-
2 Noise Spectral Density of the Encoder
+
+
-
2 Noise Spectral Density of the Encoder
The goal in this section is the estimate the noise of both the encoder and the intereferometer. @@ -127,8 +123,8 @@ Ideally, a mechanical part would clamp the two together, we here suppose that th
-
2.1 Load Data
+
+
-2.1 Load Data
The measurement data are loaded and the offset are removed using the detrend command.
@@ -147,22 +143,22 @@ encoder = detrend(encoder, 0);
-
2.2 Time Domain Results
+
+
2.2 Time Domain Results
-The measurement of both the encoder and interferometer are shown in Figure 4. +The measurement of both the encoder and interferometer are shown in Figure 4.
-
+
-
Figure 4: Huddle test - Time domain signals
-The raw signals are filtered with a Low Pass filter (defined below) such that we can see the low frequency motion (Figure 5). +The raw signals are filtered with a Low Pass filter (defined below) such that we can see the low frequency motion (Figure 5).
G_lpf = 1/(1 + s/2/pi/10); @@ -170,7 +166,7 @@ The raw signals are filtered with a Low Pass filter (defined below) such that we
+
-
Figure 5: Huddle test - Time domain signals filtered with a LPF at 10Hz
@@ -178,8 +174,8 @@ The raw signals are filtered with a Low Pass filter (defined below) such that we
-
2.3 Frequency Domain Noise
+
+
2.3 Frequency Domain Noise
The noise of the measurement (supposing there is no motion) is now translated in the frequency domain by computed the Amplitude Spectral Density. @@ -195,7 +191,7 @@ win = hann(ceil(10/Ts));
-The comparison of the ASD of the encoder and interferometer are shown in Figure 6. +The comparison of the ASD of the encoder and interferometer are shown in Figure 6.
@@ -203,7 +199,7 @@ It is clear that although the encoder exhibit higher frequency noise, is it more
-
+
-
Figure 6: Amplitude Spectral Density of the signals during the Huddle test
@@ -212,19 +208,19 @@ It is clear that although the encoder exhibit higher frequency noise, is it more
-
3 Dynamics from Actuator to Encoder
+
+
3 Dynamics from Actuator to Encoder
-
-
3.1 Load Data
+
+
-3.1 Load Data
As usual, the measurement data are loaded. @@ -257,18 +253,18 @@ u = detrend(u, 0);
-
3.2 Excitation and Measured Signals
+
+
3.2 Excitation and Measured Signals
The excitation signal is a white noise filtered by a low pass filter to not excite too much the high frequency modes.
-The excitation signal is shown in Figure 7. +The excitation signal is shown in Figure 7.
-
+
@@ -277,15 +273,15 @@ The excitation signal is shown in Figure 7.
The measured motion by the interferometer and encoder is shown in Figure
-
-
+
-
3.3 Identification
+
+
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diff --git a/js/jquery.min.js b/js/jquery.min.js
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3.3 Identification
Now the dynamics from the voltage sent to the voltage amplitude driving the APA95ML to the measured displacement by both the encoder and interferometer are computed. @@ -304,22 +300,22 @@ win = hann(ceil(10/Ts));
-The obtained coherence is shown in Figure 9. +The obtained coherence is shown in Figure 9. It is shown that the identification is good until 500Hz for the interferometer and until 1kHz for the encoder.
-
+
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-The compared dynamics as measured by the intereferometer and encoder are shown in Figure 10. +The compared dynamics as measured by the intereferometer and encoder are shown in Figure 10.
-
+
@@ -334,7 +330,7 @@ The second resonance at around 900Hz most likely corresponds to the resonance of
-
diff --git a/index.org b/index.org
index c641dd6..964ee34 100644
--- a/index.org
+++ b/index.org
@@ -7,12 +7,8 @@
#+HTML_LINK_HOME: ../index.html
#+HTML_LINK_UP: ../index.html
-#+HTML_HEAD:
-#+HTML_HEAD:
-#+HTML_HEAD:
-#+HTML_HEAD:
-#+HTML_HEAD:
-#+HTML_HEAD:
+#+HTML_HEAD:
+#+HTML_HEAD:
#+PROPERTY: header-args:latex :headers '("\\usepackage{tikz}" "\\usepackage{import}" "\\import{$HOME/Cloud/tikz/org/}{config.tex}")
#+PROPERTY: header-args:latex+ :imagemagick t :fit yes
diff --git a/js/bootstrap.min.js b/js/bootstrap.min.js
deleted file mode 100644
index c8f82e5..0000000
--- a/js/bootstrap.min.js
+++ /dev/null
@@ -1,7 +0,0 @@
-/*!
- * Bootstrap v3.3.4 (http://getbootstrap.com)
- * Copyright 2011-2015 Twitter, Inc.
- * Licensed under MIT (https://github.com/twbs/bootstrap/blob/master/LICENSE)
- */
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f=c(e),g=f.hasClass("open");if(b(),!g){"ontouchstart"in document.documentElement&&!f.closest(".navbar-nav").length&&a('').insertAfter(a(this)).on("click",b);var h={relatedTarget:this};if(f.trigger(d=a.Event("show.bs.dropdown",h)),d.isDefaultPrevented())return;e.trigger("focus").attr("aria-expanded","true"),f.toggleClass("open").trigger("shown.bs.dropdown",h)}return!1}},g.prototype.keydown=function(b){if(/(38|40|27|32)/.test(b.which)&&!/input|textarea/i.test(b.target.tagName)){var d=a(this);if(b.preventDefault(),b.stopPropagation(),!d.is(".disabled, :disabled")){var e=c(d),g=e.hasClass("open");if(!g&&27!=b.which||g&&27==b.which)return 27==b.which&&e.find(f).trigger("focus"),d.trigger("click");var h=" li:not(.disabled):visible a",i=e.find('[role="menu"]'+h+', [role="listbox"]'+h);if(i.length){var j=i.index(b.target);38==b.which&&j>0&&j--,40==b.which&&jCreated: 2020-11-10 mar. 12:53
+Created: 2020-11-12 jeu. 10:16
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