123 lines
3.5 KiB
Org Mode
123 lines
3.5 KiB
Org Mode
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#+TITLE:Measurement of the sample vibrations when rotating the Spindle
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:DRAWER:
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#+STARTUP: overview
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#+HTML_HEAD: <link rel="stylesheet" type="text/css" href="../css/htmlize.css"/>
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#+HTML_HEAD: <link rel="stylesheet" type="text/css" href="../css/readtheorg.css"/>
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#+HTML_HEAD: <link rel="stylesheet" type="text/css" href="../css/zenburn.css"/>
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#+HTML_HEAD: <script type="text/javascript" src="../js/jquery.min.js"></script>
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#+HTML_HEAD: <script type="text/javascript" src="../js/bootstrap.min.js"></script>
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#+HTML_HEAD: <script type="text/javascript" src="../js/jquery.stickytableheaders.min.js"></script>
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#+HTML_HEAD: <script type="text/javascript" src="../js/readtheorg.js"></script>
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#+PROPERTY: header-args:matlab :session *MATLAB*
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#+PROPERTY: header-args:matlab+ :comments org
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#+PROPERTY: header-args:matlab+ :results output
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#+PROPERTY: header-args:matlab+ :exports both
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#+PROPERTY: header-args:matlab+ :eval no-export
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#+PROPERTY: header-args:matlab+ :output-dir figs
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:END:
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* Signal Processing
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** Matlab Init :noexport:ignore:
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#+begin_src matlab :exports none :results silent :noweb yes
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<<matlab-init>>
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#+end_src
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** Load Data
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Measurement =data_001.mat= corresponds to a measurement where the spindle is not turning and =data_002.mat= where the spindle is turning at 1rpm.
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=x1= is the signal coming from the geophone located on the marble and =x2= is the signal from the geophone located on the sample station.
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#+begin_src matlab :results none
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data1 = load('mat/data_001.mat', 't', 'x1', 'x2');
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data2 = load('mat/data_002.mat', 't', 'x1', 'x2');
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#+end_src
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** Pre-processing
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#+begin_src matlab :results none
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imax = min([length(data1.t), length(data2.t)]);
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data1.t = data1.t(1:imax);
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data1.x1 = data1.x1(1:imax);
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data1.x2 = data1.x2(1:imax);
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data2.t = data2.t(1:imax);
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data2.x1 = data2.x1(1:imax);
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data2.x2 = data2.x2(1:imax);
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#+end_src
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** Time domain Data
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#+begin_src matlab :results none
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figure;
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hold on;
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plot(data1.t, data1.x1);
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plot(data2.t, data2.x1);
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hold off;
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#+end_src
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#+begin_src matlab :results none
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figure;
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hold on;
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plot(data1.t, data1.x2);
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plot(data2.t, data2.x2)
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hold off;
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#+end_src
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** ASD and Frequency domain data
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#+begin_src matlab :results none
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dt = data1.t(2) - data1.t(1);
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Fs = 1/dt;
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windows_psd = hanning(ceil(10/dt));
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#+end_src
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#+begin_src matlab :results none
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[pxx1m, f] = pwelch(data1.x1, windows_psd, [], [], Fs);
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[pxx1h, ~] = pwelch(data1.x2, windows_psd, [], [], Fs);
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[pxx2m, ~] = pwelch(data2.x1, windows_psd, [], [], Fs);
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[pxx2h, ~] = pwelch(data2.x2, windows_psd, [], [], Fs);
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#+end_src
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#+begin_src matlab :results none
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figure;
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hold on;
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plot(f, sqrt(pxx1m));
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plot(f, sqrt(pxx2m));
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hold off;
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set(gca, 'xscale', 'log');
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set(gca, 'yscale', 'log');
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xlabel('Frequency [Hz]'); ylabel('PSD [m/s/sqrt(Hz)]')
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#+end_src
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#+begin_src matlab :results none
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figure;
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hold on;
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plot(f, sqrt(pxx1h));
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plot(f, sqrt(pxx2h));
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hold off;
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set(gca, 'xscale', 'log');
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set(gca, 'yscale', 'log');
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xlabel('Frequency [Hz]'); ylabel('PSD [m/s/sqrt(Hz)]')
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#+end_src
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#+begin_src matlab :results none
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figure;
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hold on;
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plot(f, sqrt(pxx2m));
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plot(f, sqrt(pxx2h));
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hold off;
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set(gca, 'xscale', 'log');
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set(gca, 'yscale', 'log');
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xlabel('Frequency [Hz]'); ylabel('PSD [m/s/sqrt(Hz)]')
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#+end_src
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#+begin_src matlab :results none
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figure;
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hold on;
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plot(f, cumtrapz(f, pxx1m))
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plot(f, cumtrapz(f, pxx2m))
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set(gca, 'XScale', 'log');
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xlabel('Frequency [Hz]'); ylabel('CAS [m]')
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#+end_src
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