From 77f2339a9d5d439b7c85a19e440bf9437efb7081 Mon Sep 17 00:00:00 2001 From: Thomas Dehaeze Date: Tue, 16 Feb 2021 21:24:22 +0100 Subject: [PATCH] Add CAD view of the bench --- figs/test_bench_flex_overview.pdf | Bin 0 -> 282404 bytes figs/test_bench_flex_overview.png | Bin 0 -> 292357 bytes figs/test_bench_flex_overview.svg | 262 ++++++++++++++++++++++++++++++ figs/test_bench_flex_side.pdf | Bin 0 -> 79299 bytes figs/test_bench_flex_side.png | Bin 0 -> 70963 bytes figs/test_bench_flex_side.svg | 184 +++++++++++++++++++++ test-bench-flexible-joints.html | 200 ++++++++++++++--------- test-bench-flexible-joints.org | 11 +- test-bench-flexible-joints.pdf | Bin 2747021 -> 3092747 bytes 9 files changed, 579 insertions(+), 78 deletions(-) create mode 100644 figs/test_bench_flex_overview.pdf create mode 100644 figs/test_bench_flex_overview.png create mode 100644 figs/test_bench_flex_overview.svg create mode 100644 figs/test_bench_flex_side.pdf create mode 100644 figs/test_bench_flex_side.png 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z#v%7k2?YJKavc`=FGl{ak^NUf`JcD`OI`W@S1kXi{}uN~gQImf8$%*CPHUMW2QrTC zOJtpY`v=L)EYMY4%G`8pbgaMTosx!TG7Q=9@7rAg{-7}?pkO~>%)voEDfjTDgIwtt zbNjb~&T8kK|3_2*NA7@l{%?iw?XTQi<5DfkX)Qg>K*pc@5^lY43J`HZLXp$j&L8-H z&GA0pf7uTA?%U$M55a$!_}{U-f@o z`Aq9moapT_K{|i}m(TV^7 literal 0 HcmV?d00001 diff --git a/figs/test_bench_flex_side.svg b/figs/test_bench_flex_side.svg new file mode 100644 index 0000000..76209a0 --- /dev/null +++ b/figs/test_bench_flex_side.svg @@ -0,0 +1,184 @@ + + + + + + image/svg+xml + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/test-bench-flexible-joints.html b/test-bench-flexible-joints.html index a5d74f9..02b505c 100644 --- a/test-bench-flexible-joints.html +++ b/test-bench-flexible-joints.html @@ -3,7 +3,7 @@ "http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd"> - + Flexible Joint - Test Bench @@ -39,27 +39,28 @@

Table of Contents

@@ -67,8 +68,8 @@

This report is also available as a pdf.


-
-

1 Flexible Joints - Requirements

+
+

1 Flexible Joints - Requirements

@@ -119,8 +120,8 @@ -
-

2 Test Bench Description

+
+

2 Test Bench Description

The main characteristic of the flexible joint that we want to measure is its bending stiffness \(k_{R_x} \approx k_{R_y}\). @@ -136,23 +137,23 @@ The basic idea is to measured the angular deflection of the flexible joint as a

-
+

test-bench-schematic.png

Figure 1: Schematic of the test bench to measure the bending stiffness of the flexible joints

-
-

2.1 Flexible joint Geometry

+
+

2.1 Flexible joint Geometry

-The flexible joint used for the Nano-Hexapod is shown in Figure 2. +The flexible joint used for the Nano-Hexapod is shown in Figure 2. Its bending stiffness is foreseen to be \(k_{R_y}\approx 20\,\frac{Nm}{rad}\) and its stroke \(\theta_{y,\text{max}}\approx 20\,mrad\).

-
+

flexible_joint_geometry.png

Figure 2: Geometry of the flexible joint

@@ -174,8 +175,8 @@ Let’s define the parameters on Matlab.
-
-

2.2 Required external applied force

+
+

2.2 Required external applied force

The bending \(\theta_y\) of the flexible joint due to the force \(F_x\) is: @@ -207,8 +208,8 @@ The measurement range of the force sensor should then be higher than \(20\,N\).

-
-

2.3 Required actuator stroke and sensors range

+
+

2.3 Required actuator stroke and sensors range

The flexible joint is designed to allow a bending motion of \(\pm 20\,mrad\). @@ -233,8 +234,8 @@ The measurement range of the displacement sensor should also be higher than \(0.

-
-

2.4 First try with the APA95ML

+
+

2.4 First try with the APA95ML

The APA95ML as a stroke of \(100\,\mu m\) and the encoder in parallel can easily measure the required stroke. @@ -262,17 +263,25 @@ And the tested angular range is:

-
-

2.5 Test Bench

+
+

2.5 Test Bench

-
-

test-bench-schematic.png +

+

test_bench_flex_overview.png

Figure 3: Schematic of the test bench to measure the bending stiffness of the flexible joints

-
+ + +
+

test_bench_flex_side.png +

+

Figure 4: Schematic of the test bench to measure the bending stiffness of the flexible joints

+
+ +
-
-

3 Agreement between the probe and the encoder

+
+

3 Agreement between the probe and the encoder

-
-

3.1 Results

+
+

3.1 Setup

+

+The measurement setup is made such that the probe measured the translation table displacement. +It should then measure the same displacement as the encoder. +Using this setup, we should be able to compare the probe and the encoder. +

+
+
+ +
+

3.2 Results

+
+

+Let’s load the measurements. +

+
load('meas_probe_against_encoder.mat', 't', 'd', 'dp', 'F')
 
+

+The time domain measured displacement by the probe and by the encoder is shown in Figure 5. +

-
+ +

comp_encoder_probe_time.png

-

Figure 4: Time domain measurement

+

Figure 5: Time domain measurement

+

+If we zoom, we see that there is some delay between the encoder and the probe (Figure 6). +

-
+ +

comp_encoder_probe_time_zoom.png

-

Figure 5: Time domain measurement (Zoom)

+

Figure 6: Time domain measurement (Zoom)

-
-
finddelay(d, dp)
-
-
+

+This delay is estimated using the finddelay command. +

-316
+The time delay is approximately 15.8 [ms]
 
-
-
Ts*finddelay(d, dp)
-
-
- -
-0.0158
-
+

+The measured mismatch between the encoder and the probe with and without compensating for the time delay are shown in Figure 7. +

- -
+

comp_encoder_probe_mismatch.png

-

Figure 6: Measurement mismatch, with and without delay compensation

+

Figure 7: Measurement mismatch, with and without delay compensation

+

+Finally, the displacement of the probe is shown as a function of the displacement of the encoder and a linear fit is made (Figure 8). +

-
+ +

comp_encoder_probe_linear_fit.png

-

Figure 7: Measured displacement by the probe as a function of the measured displacement by the encoder

+

Figure 8: Measured displacement by the probe as a function of the measured displacement by the encoder

+
+ +
+

+From the measurement, it is shown that the probe is well calibrated. +However, there is some time delay of tens of milliseconds that could induce some measurement errors. +

+
-
-

4 Measurement of the Millimar 1318 probe stiffness

+
+

4 Measurement of the Millimar 1318 probe stiffness

-
+
-
+

setup_mahr_stiff_meas_side.jpg

-

Figure 8: Setup - Side View

+

Figure 9: Setup - Side View

-
+

setup_mahr_stiff_meas_top.jpg

-

Figure 9: Setup - Top View

+

Figure 10: Setup - Top View

-
-

4.1 Results

+
+

4.1 Results

+

+Let’s load the measurement results. +

load('meas_stiff_probe.mat', 't', 'd', 'dp', 'F')
 

-The time domain measured force and displacement are shown in Figure 10. +The time domain measured force and displacement are shown in Figure 11.

-
+

mahr_time_domain.png

-

Figure 10: Time domain measurements

+

Figure 11: Time domain measurements

@@ -410,25 +450,33 @@ This is very close to the 0.04 [N/mm] written in the 11). +And compare the linear fit with the raw measurement data (Figure 12).

-
+

mahr_stiffness_f_d_plot.png

+

Figure 12: Measured displacement as a function of the measured force. Raw data and linear fit

+
+ +
+

+The Millimar 1318 probe has a stiffness of \(\approx 0.04\,[N/mm]\). +

+
-
-

5 Experimental measurement

+
+

5 Experimental measurement

Author: Dehaeze Thomas

-

Created: 2021-02-16 mar. 19:15

+

Created: 2021-02-16 mar. 21:23

diff --git a/test-bench-flexible-joints.org b/test-bench-flexible-joints.org index 26c1a57..79a09b4 100644 --- a/test-bench-flexible-joints.org +++ b/test-bench-flexible-joints.org @@ -174,9 +174,16 @@ And the tested angular range is: ** Test Bench -#+name: fig:test-bench-schematic +#+name: fig:test_bench_flex_overview #+caption: Schematic of the test bench to measure the bending stiffness of the flexible joints -[[file:figs/test-bench-schematic.png]] +#+attr_latex: :width 0.8\linewidth +[[file:figs/test_bench_flex_overview.png]] + + +#+name: fig:test_bench_flex_side +#+caption: Schematic of the test bench to measure the bending stiffness of the flexible joints +#+attr_latex: :width 0.25\linewidth +[[file:figs/test_bench_flex_side.png]] #+begin_note - *Translation Stage*: [[file:doc/V-408-Datasheet.pdf][V-408]] diff --git a/test-bench-flexible-joints.pdf b/test-bench-flexible-joints.pdf index 5e85d024f30f17be96b2ed38b4600babf9be97ce..902f3089038d6f287c2af6560aeba9cc224dd028 100644 GIT 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