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b/Library/index.org @@ -18,34 +18,671 @@ #+PROPERTY: header-args:matlab+ :output-dir figs :END: -For all the measurements here, the geophones are L22. -The signals are amplified with voltage amplifiers with a gain of 60dB. -The voltage amplifiers include a low pass filter with a cut-off frequency at 1kHz. - -* Effect of the control system of each stage +For all the measurements shown here: +- geophones used are L22 with a resonance frequency of 1Hz +- the signals are amplified with voltage amplifiers with a gain of 60dB +- the voltage amplifiers include a low pass filter with a cut-off frequency at 1kHz +* Effect of the Slip-Ring on the signal ** Experimental Setup -One geophone is on the marble, the other at the sample location (see figures below). +Two measurements are made with the control systems of all the stages turned OFF. -The signal from the top geophone goes through the slip-ring. +One geophone is located on the marble while the other is located at the sample location (figure [[fig:setup_slipring]]). -The signals from the geophones are amplified by a voltage amplifier with a gain of 60dB. -The voltage amplifier also include a low pass filter with a corner frequency of 1kHz. - -#+name: fig:setup_ty_1 -#+caption: Figure caption -#+attr_html: :width 500px -[[file:./img/IMG_20190430_112613.jpg]] - -#+name: fig:setup_ty_2 -#+caption: Figure caption +#+name: fig:setup_slipring +#+caption: Experimental Setup #+attr_html: :width 500px [[file:./img/IMG_20190430_112615.jpg]] -#+name: fig:setup_ty_3 -#+caption: Figure caption +The two measurements are: +| Measurement File | Description | +|------------------+------------------------------------------------------------------| +| =meas_008.mat= | Signal from the top geophone does not goes through the Slip-ring | +| =meas_009.mat= | Signal goes through the Slip-ring (as shown on the figure above) | + +Each of the measurement =mat= file contains one =data= array with 3 columns: +| Column number | Description | +|---------------+-------------------| +| 1 | Geophone - Marble | +| 2 | Geophone - Sample | +| 3 | Time | + +** Matlab Init :noexport:ignore: +#+begin_src matlab :exports none :results silent :noweb yes + <> +#+end_src + +** Load data +We load the data of the z axis of two geophones. + +#+begin_src matlab :results none + d8 = load('mat/data_008.mat', 'data'); d8 = d8.data; + d9 = load('mat/data_009.mat', 'data'); d9 = d9.data; +#+end_src + +** Analysis - Time Domain +First, we compare the time domain signals for the two experiments (figure [[fig:slipring_time]]). + + +#+begin_src matlab :results none + figure; + hold on; + plot(d9(:, 3), d9(:, 2), 'DisplayName', 'Slip-Ring'); + plot(d8(:, 3), d8(:, 2), 'DisplayName', 'Wire'); + hold off; + xlabel('Time [s]'); ylabel('Voltage [V]'); + xlim([0, 50]); + legend('location', 'northeast'); +#+end_src + +#+NAME: fig:slipring_time +#+HEADER: :tangle no :exports results :results value raw replace :noweb yes +#+begin_src matlab :var filepath="figs/slipring_time.pdf" :var figsize="wide-tall" :post pdf2svg(file=*this*, ext="png") + <> +#+end_src + +#+NAME: fig:slipring_time +#+CAPTION: Effect of the Slip-Ring on the measured signal - Time domain +#+RESULTS: fig:slipring_time +[[file:figs/slipring_time.png]] + +** Analysis - Frequency Domain +We then compute the Power Spectral Density of the two signals and we compare them (figure [[fig:slipring_asd]]). +#+begin_src matlab :results none + dt = d8(2, 3) - d8(1, 3); + Fs = 1/dt; + + win = hanning(ceil(1*Fs)); +#+end_src + +#+begin_src matlab :results none + [pxx8, f] = pwelch(d8(:, 2), win, [], [], Fs); + [pxx9, ~] = pwelch(d9(:, 2), win, [], [], Fs); +#+end_src + +#+begin_src matlab :results none + figure; + hold on; + plot(f, sqrt(pxx9), 'DisplayName', 'Slip-Ring'); + plot(f, sqrt(pxx8), 'DisplayName', 'Wire'); + hold off; + set(gca, 'xscale', 'log'); + set(gca, 'yscale', 'log'); + xlabel('Frequency [Hz]'); ylabel('ASD [V/sqrt(Hz)]') + xlim([1, 500]); + legend('Location', 'southwest'); +#+end_src + +#+NAME: fig:slipring_asd +#+HEADER: :tangle no :exports results :results value raw replace :noweb yes +#+begin_src matlab :var filepath="figs/slipring_asd.pdf" :var figsize="wide-tall" :post pdf2svg(file=*this*, ext="png") + <> +#+end_src + +#+NAME: fig:slipring_asd +#+CAPTION: Effect of the Slip-Ring on the measured signal - Frequency domain +#+RESULTS: fig:slipring_asd +[[file:figs/slipring_asd.png]] + +** Conclusion +#+begin_important +- Connecting the geophone through the Slip-Ring seems to induce a lot of noise. +#+end_important + +#+begin_note +*Remaining questions to answer*: +- Why is there a sharp peak at 300Hz? +- Why the use of the Slip-Ring does induce a noise? +- Can the capacitive/inductive properties of the wires in the Slip-ring does not play well with the geophone? (resonant RLC circuit) +#+end_note + +* Effect of all the control systems on the Sample vibrations +** Experimental Setup +We here measure the signals of two geophones: +- One is located on top of the Sample platform +- One is located on the marble + +The signal from the top geophone does not go trought the slip-ring. + +First, all the control systems are turned ON, then, they are turned one by one. +Each measurement are done during 50s. + +#+name: tab:control_system_on_off +#+caption: Summary of the measurements and the states of the control systems +| Ty | Ry | Slip Ring | Spindle | Hexapod | Meas. file | +|------+------+-----------+---------+---------+----------------| +| *ON* | *ON* | *ON* | *ON* | *ON* | =meas_003.mat= | +| OFF | *ON* | *ON* | *ON* | *ON* | =meas_004.mat= | +| OFF | OFF | *ON* | *ON* | *ON* | =meas_005.mat= | +| OFF | OFF | OFF | *ON* | *ON* | =meas_006.mat= | +| OFF | OFF | OFF | OFF | *ON* | =meas_007.mat= | +| OFF | OFF | OFF | OFF | OFF | =meas_008.mat= | + +Each of the =mat= file contains one array =data= with 3 columns: +| Column number | Description | +|---------------+-------------------| +| 1 | Geophone - Marble | +| 2 | Geophone - Sample | +| 3 | Time | + +** Matlab Init :noexport:ignore: +#+begin_src matlab :exports none :results silent :noweb yes + <> +#+end_src + +** Load data +We load the data of the z axis of two geophones. +#+begin_src matlab :results none + d3 = load('mat/data_003.mat', 'data'); d3 = d3.data; + d4 = load('mat/data_004.mat', 'data'); d4 = d4.data; + d5 = load('mat/data_005.mat', 'data'); d5 = d5.data; + d6 = load('mat/data_006.mat', 'data'); d6 = d6.data; + d7 = load('mat/data_007.mat', 'data'); d7 = d7.data; + d8 = load('mat/data_008.mat', 'data'); d8 = d8.data; +#+end_src + +** Analysis - Time Domain +First, we can look at the time domain data and compare all the measurements: +- comparison for the geophone at the sample location (figure [[fig:time_domain_sample]]) +- comparison for the geophone on the granite (figure [[fig:time_domain_marble]]) + +#+begin_src matlab :results none + figure; + hold on; + plot(d3(:, 3), d3(:, 2), 'DisplayName', 'All ON'); + plot(d4(:, 3), d4(:, 2), 'DisplayName', 'Ty OFF'); + plot(d5(:, 3), d5(:, 2), 'DisplayName', 'Ry OFF'); + plot(d6(:, 3), d6(:, 2), 'DisplayName', 'S-R OFF'); + plot(d7(:, 3), d7(:, 2), 'DisplayName', 'Rz OFF'); + plot(d8(:, 3), d8(:, 2), 'DisplayName', 'Hexa OFF'); + hold off; + xlabel('Time [s]'); ylabel('Voltage [V]'); + xlim([0, 50]); + legend('Location', 'bestoutside'); +#+end_src + +#+NAME: fig:time_domain_sample +#+HEADER: :tangle no :exports results :results value raw replace :noweb yes +#+begin_src matlab :var filepath="figs/time_domain_sample.pdf" :var figsize="full-tall" :post pdf2svg(file=*this*, ext="png") + <> +#+end_src + +#+NAME: fig:time_domain_sample +#+CAPTION: Comparison of the time domain data when turning off the control system of the stages - Geophone at the sample location +#+RESULTS: fig:time_domain_sample +[[file:figs/time_domain_sample.png]] + + +#+begin_src matlab :results none + figure; + hold on; + plot(d3(:, 3), d3(:, 1), 'DisplayName', 'All ON'); + plot(d4(:, 3), d4(:, 1), 'DisplayName', 'Ty OFF'); + plot(d5(:, 3), d5(:, 1), 'DisplayName', 'Ry OFF'); + plot(d6(:, 3), d6(:, 1), 'DisplayName', 'S-R OFF'); + plot(d7(:, 3), d7(:, 1), 'DisplayName', 'Rz OFF'); + plot(d8(:, 3), d8(:, 1), 'DisplayName', 'Hexa OFF'); + hold off; + xlabel('Time [s]'); ylabel('Voltage [V]'); + xlim([0, 50]); + legend('Location', 'bestoutside'); +#+end_src + +#+NAME: fig:time_domain_marble +#+HEADER: :tangle no :exports results :results value raw replace :noweb yes +#+begin_src matlab :var filepath="figs/time_domain_marble.pdf" :var figsize="full-tall" :post pdf2svg(file=*this*, ext="png") + <> +#+end_src + +#+NAME: fig:time_domain_marble +#+CAPTION: Comparison of the time domain data when turning off the control system of the stages - Geophone on the marble +#+RESULTS: fig:time_domain_marble +[[file:figs/time_domain_marble.png]] + +** Analysis - Frequency Domain +#+begin_src matlab :results none + dt = d3(2, 3) - d3(1, 3); + + Fs = 1/dt; + win = hanning(ceil(10*Fs)); +#+end_src + +*** Vibrations at the sample location +First, we compute the Power Spectral Density of the signals coming from the Geophone located at the sample location. +#+begin_src matlab :results none + [px3, f] = pwelch(d3(:, 2), win, [], [], Fs); + [px4, ~] = pwelch(d4(:, 2), win, [], [], Fs); + [px5, ~] = pwelch(d5(:, 2), win, [], [], Fs); + [px6, ~] = pwelch(d6(:, 2), win, [], [], Fs); + [px7, ~] = pwelch(d7(:, 2), win, [], [], Fs); + [px8, ~] = pwelch(d8(:, 2), win, [], [], Fs); +#+end_src + +And we compare all the signals (figures [[fig:psd_sample_comp]] and [[fig:psd_sample_comp_high_freq]]). +#+begin_src matlab :results none + figure; + hold on; + plot(f, sqrt(px3), 'DisplayName', 'All ON'); + plot(f, sqrt(px4), 'DisplayName', 'Ty OFF'); + plot(f, sqrt(px5), 'DisplayName', 'Ry OFF'); + plot(f, sqrt(px6), 'DisplayName', 'S-R OFF'); + plot(f, sqrt(px7), 'DisplayName', 'Rz OFF'); + plot(f, sqrt(px8), 'DisplayName', 'Hexa OFF'); + hold off; + set(gca, 'xscale', 'log'); + set(gca, 'yscale', 'log'); + xlabel('Frequency [Hz]'); ylabel('ASD [V/sqrt(Hz)]') + xlim([0.1, 500]); + legend('Location', 'southwest'); +#+end_src + +#+NAME: fig:psd_sample_comp +#+HEADER: :tangle no :exports results :results value raw replace :noweb yes +#+begin_src matlab :var filepath="figs/psd_sample_comp.pdf" :var figsize="full-tall" :post pdf2svg(file=*this*, ext="png") + <> +#+end_src + +#+NAME: fig:psd_sample_comp +#+CAPTION: PSD of the signal coming from the top geophone +#+RESULTS: fig:psd_sample_comp +[[file:figs/psd_sample_comp.png]] + + +#+begin_src matlab :results none :tangle no :exports none + xlim([80, 500]); +#+end_src + +#+NAME: fig:psd_sample_comp_high_freq +#+HEADER: :tangle no :exports results :results value raw replace :noweb yes +#+begin_src matlab :var filepath="figs/psd_sample_comp_high_freq.pdf" :var figsize="full-tall" :post pdf2svg(file=*this*, ext="png") + <> +#+end_src + +#+NAME: fig:psd_sample_comp_high_freq +#+CAPTION: PSD of the signal coming from the top geophone (zoom at high frequencies) +#+RESULTS: fig:psd_sample_comp_high_freq +[[file:figs/psd_sample_comp_high_freq.png]] + +*** Vibrations on the marble +Now we plot the same curves for the geophone located on the marble. +#+begin_src matlab :results none + [px3, f] = pwelch(d3(:, 1), win, [], [], Fs); + [px4, ~] = pwelch(d4(:, 1), win, [], [], Fs); + [px5, ~] = pwelch(d5(:, 1), win, [], [], Fs); + [px6, ~] = pwelch(d6(:, 1), win, [], [], Fs); + [px7, ~] = pwelch(d7(:, 1), win, [], [], Fs); + [px8, ~] = pwelch(d8(:, 1), win, [], [], Fs); +#+end_src + +And we compare the ASD (figures [[fig:psd_marble_comp]] and [[fig:psd_marble_comp_high_freq]]) +#+begin_src matlab :results none + figure; + hold on; + plot(f, sqrt(px3), 'DisplayName', 'All ON'); + plot(f, sqrt(px4), 'DisplayName', 'Ty OFF'); + plot(f, sqrt(px5), 'DisplayName', 'Ry OFF'); + plot(f, sqrt(px6), 'DisplayName', 'S-R OFF'); + plot(f, sqrt(px7), 'DisplayName', 'Rz OFF'); + plot(f, sqrt(px8), 'DisplayName', 'Hexa OFF'); + hold off; + set(gca, 'xscale', 'log'); + set(gca, 'yscale', 'log'); + xlabel('Frequency [Hz]'); ylabel('ASD [V/sqrt(Hz)]') + xlim([0.1, 500]); + legend('Location', 'northeast'); +#+end_src + +#+NAME: fig:psd_marble_comp +#+HEADER: :tangle no :exports results :results value raw replace :noweb yes +#+begin_src matlab :var filepath="figs/psd_marble_comp.pdf" :var figsize="full-tall" :post pdf2svg(file=*this*, ext="png") + <> +#+end_src + +#+NAME: fig:psd_marble_comp +#+CAPTION: PSD of the signal coming from the top geophone +#+RESULTS: fig:psd_marble_comp +[[file:figs/psd_marble_comp.png]] + + +#+begin_src matlab :results none :tangle no :exports none + legend('Location', 'southwest'); + xlim([80, 500]); +#+end_src + +#+NAME: fig:psd_marble_comp_high_freq +#+HEADER: :tangle no :exports results :results value raw replace :noweb yes +#+begin_src matlab :var filepath="figs/psd_marble_comp_high_freq.pdf" :var figsize="full-tall" :post pdf2svg(file=*this*, ext="png") + <> +#+end_src + +#+NAME: fig:psd_marble_comp_high_freq +#+CAPTION: PSD of the signal coming from the top geophone (zoom at high frequencies) +#+RESULTS: fig:psd_marble_comp_high_freq +[[file:figs/psd_marble_comp_high_freq.png]] +** Effect of the control system on the transmissibility from ground to sample +As the feedback loops change the dynamics of the system, we should see differences on the transfer function from marble velocity to sample velocity when turning off the control systems (figure [[fig:trans_comp]]). + +#+begin_src matlab :results none + dt = d3(2, 3) - d3(1, 3); + + Fs = 1/dt; + win = hanning(ceil(1*Fs)); +#+end_src + +First, we compute the Power Spectral Density of the signals coming from the Geophone located at the sample location. +#+begin_src matlab :results none + [T3, f] = tfestimate(d3(:, 1), d3(:, 2), win, [], [], Fs); + [T4, ~] = tfestimate(d4(:, 1), d4(:, 2), win, [], [], Fs); + [T5, ~] = tfestimate(d5(:, 1), d5(:, 2), win, [], [], Fs); + [T6, ~] = tfestimate(d6(:, 1), d6(:, 2), win, [], [], Fs); + [T7, ~] = tfestimate(d7(:, 1), d7(:, 2), win, [], [], Fs); + [T8, ~] = tfestimate(d8(:, 1), d8(:, 2), win, [], [], Fs); +#+end_src + +#+begin_src matlab :results none + figure; + ax1 = subplot(2, 1, 1); + hold on; + plot(f, abs(T3), 'DisplayName', 'All ON'); + plot(f, abs(T4), 'DisplayName', 'Ty OFF'); + plot(f, abs(T5), 'DisplayName', 'Ry OFF'); + plot(f, abs(T6), 'DisplayName', 'S-R OFF'); + plot(f, abs(T7), 'DisplayName', 'Rz OFF'); + plot(f, abs(T8), 'DisplayName', 'Hexa OFF'); + hold off; + set(gca, 'xscale', 'log'); set(gca, 'yscale', 'log'); + set(gca, 'XTickLabel',[]); + ylabel('Magnitude'); + legend('Location', 'northwest'); + + ax2 = subplot(2, 1, 2); + hold on; + plot(f, mod(180+180/pi*phase(T3), 360)-180); + plot(f, mod(180+180/pi*phase(T4), 360)-180); + plot(f, mod(180+180/pi*phase(T5), 360)-180); + plot(f, mod(180+180/pi*phase(T6), 360)-180); + plot(f, mod(180+180/pi*phase(T7), 360)-180); + plot(f, mod(180+180/pi*phase(T8), 360)-180); + hold off; + set(gca, 'xscale', 'log'); + ylim([-180, 180]); + yticks([-180, -90, 0, 90, 180]); + xlabel('Frequency [Hz]'); ylabel('Phase'); + + linkaxes([ax1,ax2],'x'); + xlim([1, 500]); +#+end_src + +#+NAME: fig:trans_comp +#+HEADER: :tangle no :exports results :results value raw replace :noweb yes +#+begin_src matlab :var filepath="figs/trans_comp.pdf" :var figsize="full-tall" :post pdf2svg(file=*this*, ext="png") + <> +#+end_src + +#+NAME: fig:trans_comp +#+CAPTION: Comparison of the transfer function from the geophone on the marble to the geophone at the sample location +#+RESULTS: fig:trans_comp +[[file:figs/trans_comp.png]] +** Conclusion +#+begin_important +- The control system of the Ty stage induces a lot of vibrations of the marble +#+end_important + +#+begin_note +- Why it seems that the measurement noise at high frequency is the limiting factor when the slip ring is ON but not when it is OFF? +#+end_note + +* Transfer function from one stage to the other +** Experimental Setup +For all the measurements in this section: +- all the control stages are OFF. +- the measurements are on the $z$ direction + +*** From Marble to Ty - =mat/meas_010.mat= +One geophone is on the marble, one is on the Ty stage (see figures [[fig:setup_m_ty]], [[fig:setup_m_ty_zoom]] and [[fig:setup_m_ty_top]]). + +The =data= array contains the following columns: +| Column | Description | +|--------+-------------| +| 1 | Ground | +| 2 | Ty | +| 3 | Time | + +#+name: fig:setup_m_ty +#+caption: Setup with one geophone on the marble and one on top of the translation stage #+attr_html: :width 500px -[[file:./img/IMG_20190430_112620.jpg]] +[[file:./img/IMG_20190430_155330.jpg]] + +#+name: fig:setup_m_ty_zoom +#+caption: Setup with one geophone on the marble and one on top of the translation stage - Close up view +#+attr_html: :width 500px +[[file:./img/IMG_20190430_155335.jpg]] + +#+name: fig:setup_m_ty_top +#+caption: Setup with one geophone on the marble and one on top of the translation stage - Top view +#+attr_html: :width 500px +[[file:./img/IMG_20190430_155342.jpg]] + +*** From Marble to Ry - =mat/meas_011.mat= +One geophone is on the marble, one is on the Ry stage (see figure [[fig:setup_m_ry]]) + +The =data= array contains the following columns: +| Column | Description | +|--------+-------------| +| 1 | Ground | +| 2 | Ry | +| 3 | Time | + +#+name: fig:setup_m_ry +#+caption: Setup with one geophone on the marble and one on top of the Tilt Stage +#+attr_html: :width 500px +[[file:./img/IMG_20190430_163919.jpg]] + +*** From Ty to Ry - =mat/meas_012.mat= +One geophone is on the Ty stage, one is on the Ry stage (see figures [[fig:setup_ty_ry]], [[fig:setup_ty_ry_top]] and [[fig:setup_ty_ry_zoom]]) +One geophone on the Ty stage, one geophone on the Ry stage. + +The =data= array contains the following columns: +| Column | Description | +|--------+-------------| +| 1 | Ty | +| 2 | Ry | +| 3 | Time | + +#+name: fig:setup_ty_ry +#+caption: Setup with one geophone on the translation stage and one on top of the Tilt Stage +#+attr_html: :width 500px +[[file:./img/IMG_20190430_170405.jpg]] + +#+name: fig:setup_ty_ry_top +#+caption: Setup with one geophone on the translation stage and one on top of the Tilt Stage - Top view +#+attr_html: :width 500px +[[file:./img/IMG_20190430_170418.jpg]] + +#+name: fig:setup_ty_ry_zoom +#+caption: Setup with one geophone on the translation stage and one on top of the Tilt Stage - Close up view +#+attr_html: :width 500px +[[file:./img/IMG_20190430_170425.jpg]] + +** Matlab Init :noexport:ignore: +#+begin_src matlab :exports none :results silent :noweb yes + <> +#+end_src + +** Load data +We load the data of the z axis of two geophones. +#+begin_src matlab :results none + m_ty = load('mat/data_010.mat', 'data'); m_ty = m_ty.data; + m_ry = load('mat/data_011.mat', 'data'); m_ry = m_ry.data; + ty_ry = load('mat/data_012.mat', 'data'); ty_ry = ty_ry.data; +#+end_src + +** Analysis - Time Domain +First, we can look at the time domain data. + +#+begin_src matlab :results none + figure; + hold on; + plot(m_ty(:, 3), m_ty(:, 1), 'DisplayName', 'Marble'); + plot(m_ty(:, 3), m_ty(:, 2), 'DisplayName', 'Ty'); + hold off; + xlabel('Time [s]'); ylabel('Voltage [V]'); + legend('Location', 'northeast'); + xlim([0, 500]); +#+end_src + +#+NAME: fig:time_domain_m_ty +#+HEADER: :tangle no :exports results :results value raw replace :noweb yes +#+begin_src matlab :var filepath="figs/time_domain_m_ty.pdf" :var figsize="wide-normal" :post pdf2svg(file=*this*, ext="png") + <> +#+end_src + +#+NAME: fig:time_domain_m_ty +#+CAPTION: Time domain - Marble and translation stage +#+RESULTS: fig:time_domain_m_ty +[[file:figs/time_domain_m_ty.png]] + + +#+begin_src matlab :results none + figure; + hold on; + plot(m_ry(:, 3), m_ry(:, 1), 'DisplayName', 'Marble'); + plot(m_ry(:, 3), m_ry(:, 2), 'DisplayName', 'Ty'); + hold off; + xlabel('Time [s]'); ylabel('Voltage [V]'); + legend('Location', 'northeast'); + xlim([0, 500]); +#+end_src + +#+NAME: fig:time_domain_m_ry +#+HEADER: :tangle no :exports results :results value raw replace :noweb yes +#+begin_src matlab :var filepath="figs/time_domain_m_ry.pdf" :var figsize="wide-normal" :post pdf2svg(file=*this*, ext="png") + <> +#+end_src + +#+NAME: fig:time_domain_m_ry +#+CAPTION: Time domain - Marble and tilt stage +#+RESULTS: fig:time_domain_m_ry +[[file:figs/time_domain_m_ry.png]] + +#+begin_src matlab :results none + figure; + hold on; + plot(ty_ry(:, 3), ty_ry(:, 1), 'DisplayName', 'Ty'); + plot(ty_ry(:, 3), ty_ry(:, 2), 'DisplayName', 'Ry'); + hold off; + xlabel('Time [s]'); ylabel('Voltage [V]'); + legend('Location', 'northeast'); + xlim([0, 500]); +#+end_src + +#+NAME: fig:time_domain_ty_ry +#+HEADER: :tangle no :exports results :results value raw replace :noweb yes +#+begin_src matlab :var filepath="figs/time_domain_ty_ry.pdf" :var figsize="wide-normal" :post pdf2svg(file=*this*, ext="png") + <> +#+end_src + +#+NAME: fig:time_domain_ty_ry +#+CAPTION: Time domain - Translation stage and tilt stage +#+RESULTS: fig:time_domain_ty_ry +[[file:figs/time_domain_ty_ry.png]] + +** Analysis - Frequency Domain +#+begin_src matlab :results none + dt = m_ty(2, 3) - m_ty(1, 3); + + Fs = 1/dt; + win = hanning(ceil(1*Fs)); +#+end_src + +First, we compute the transfer function estimate between the two geophones for the 3 experiments (figure [[fig:compare_tf_geophones]]). We also plot their coherence (figure [[fig:coherence_two_geophones]]). +#+begin_src matlab :results none + [T_m_ty, f] = tfestimate(m_ty(:, 1), m_ty(:, 2), win, [], [], Fs); + [T_m_ry, ~] = tfestimate(m_ry(:, 1), m_ry(:, 2), win, [], [], Fs); + [T_ty_ry, ~] = tfestimate(ty_ry(:, 1), ty_ry(:, 2), win, [], [], Fs); +#+end_src + +#+begin_src matlab :results none + figure; + ax1 = subplot(2, 1, 1); + hold on; + plot(f, abs(T_m_ty), 'DisplayName', 'Marble - Ty'); + plot(f, abs(T_m_ry), 'DisplayName', 'Marble - Ry'); + plot(f, abs(T_ty_ry), 'DisplayName', 'Ty - Ry'); + hold off; + set(gca, 'xscale', 'log'); set(gca, 'yscale', 'log'); + set(gca, 'XTickLabel',[]); + ylabel('Magnitude'); + legend('Location', 'northwest'); + + ax2 = subplot(2, 1, 2); + hold on; + plot(f, mod(180+180/pi*phase(T_m_ty), 360)-180); + plot(f, mod(180+180/pi*phase(T_m_ry), 360)-180); + plot(f, mod(180+180/pi*phase(T_ty_ry), 360)-180); + hold off; + set(gca, 'xscale', 'log'); + ylim([-180, 180]); + yticks([-180, -90, 0, 90, 180]); + xlabel('Frequency [Hz]'); ylabel('Phase'); + + linkaxes([ax1,ax2],'x'); + xlim([10, 500]); +#+end_src + +#+NAME: fig:compare_tf_geophones +#+HEADER: :tangle no :exports results :results value raw replace :noweb yes +#+begin_src matlab :var filepath="figs/compare_tf_geophones.pdf" :var figsize="full-tall" :post pdf2svg(file=*this*, ext="png") + <> +#+end_src + +#+NAME: fig:compare_tf_geophones +#+CAPTION: Transfer function from the first geophone to the second geophone for the three experiments +#+RESULTS: fig:compare_tf_geophones +[[file:figs/compare_tf_geophones.png]] + + +#+begin_src matlab :results none + [coh_m_ty, f] = mscohere(m_ty(:, 1), m_ty(:, 2), win, [], [], Fs); + [coh_m_ry, ~] = mscohere(m_ry(:, 1), m_ry(:, 2), win, [], [], Fs); + [coh_ty_ry, ~] = mscohere(ty_ry(:, 1), ty_ry(:, 2), win, [], [], Fs); +#+end_src + +#+begin_src matlab :results none :exports none + figure; + hold on; + plot(f, coh_m_ty, 'DisplayName', 'Marble - Ty'); + plot(f, coh_m_ry, 'DisplayName', 'Marble - Ry'); + plot(f, coh_ty_ry, 'DisplayName', 'Ty - Ry'); + hold off; + set(gca, 'xscale', 'log'); + xlabel('Frequency [Hz]'); ylabel('Coherence'); + ylim([0, 1]); xlim([1, 500]); +#+end_src + +#+NAME: fig:coherence_two_geophones +#+HEADER: :tangle no :exports results :results value raw replace :noweb yes +#+begin_src matlab :var filepath="figs/coherence_two_geophones.pdf" :var figsize="wide-normal" :post pdf2svg(file=*this*, ext="png") + <> +#+end_src + +#+NAME: fig:coherence_two_geophones +#+CAPTION: Coherence between the two geophones for the three experiments +#+RESULTS: fig:coherence_two_geophones +[[file:figs/coherence_two_geophones.png]] + +** Conclusion + +* Effect of the Ty Control System on the vibration of the Sample :noexport:ignore: +** Experimental Setup +One geophone is on the marble, the other at the sample location (see figures [[fig:setup_ty]]). + +The signal from the top geophone goes through the slip-ring. + +#+name: fig:setup_ty +#+caption: Experimental Setup +#+attr_html: :width 500px +[[file:./img/IMG_20190430_112615.jpg]] Two measurements are done: | Setup | Data File | @@ -53,7 +690,7 @@ Two measurements are done: | Control of Ty is on | =mat/data_001.mat= | | Control of Ty is off | =mat/data_002.mat= | -For each of the measurements +For each of the measurements, the data are: | Variable | Description | |----------+--------------------------------------------------------------------| | =t= | Time Vector | @@ -74,7 +711,7 @@ We load the data of the z axis of two geophones. tyOff = load('mat/data_002.mat', 't', 'x1', 'x2'); #+end_src -** Analysis +** Analysis - Time Domain #+begin_src matlab :results none dt = tyOn.t(2)-tyOn.t(1); Fs = 1/dt; @@ -87,6 +724,7 @@ We load the data of the z axis of two geophones. plot(tyOn.t, tyOn.x2); hold off; legend({'x1 - ON', 'x2 - ON'}); + xlim([0, 50]); #+end_src #+begin_src matlab :results none @@ -98,6 +736,7 @@ We load the data of the z axis of two geophones. legend({'x1 - OFF', 'x2 - OFF'}); #+end_src +** Analysis - Frequency Domain #+begin_src matlab :results none Fs = 1/dt; win = hanning(ceil(10*Fs)); @@ -190,110 +829,3 @@ We load the data of the z axis of two geophones. linkaxes([ax1,ax2],'x'); xlim([1, 500]); #+end_src -* Effect of the Slip-Ring on the signal -** Experimental Setup -Two measurements are made where the control of all the stages are OFF. - -One geophone is located on the marble while the other is located at the sample location. - -The two measurements are: -| Measurement File | Description | -|------------------+------------------------------------------------------------------| -| =meas_008.mat= | Signal from the top geophone does not goes through the Slip-ring | -| =meas_009.mat= | Signal goes through the Slip-ring | - -Each of the measurement =mat= file contains one =data= array with 3 columns: -| Column number | Description | -|---------------+-------------------| -| 1 | Geophone - Marble | -| 2 | Geophone - Sample | -| 3 | Time | - -** Matlab Init :noexport:ignore: -#+begin_src matlab :exports none :results silent :noweb yes - <> -#+end_src - -** Load data -We load the data of the z axis of two geophones. -#+begin_src matlab :results none - data8 = load('mat/data_008.mat', 'data'); - data9 = load('mat/data_009.mat', 'data'); -#+end_src - -** Analysis - Time Domain -#+begin_src matlab :results none - figure; - hold on; - plot(data9.data(:, 3), data9.data(:, 2), 'DisplayName', 'Slip-Ring'); - plot(data8.data(:, 3), data8.data(:, 2), 'DisplayName', 'Wire'); - hold off; - xlabel('Time [s]'); ylabel('Voltage [V]'); - xlim([0, 50]); - legend(); -#+end_src - -#+NAME: fig:slipring_time -#+HEADER: :tangle no :exports results :results value raw replace :noweb yes -#+begin_src matlab :var filepath="figs/slipring_time.pdf" :var figsize="wide-tall" :post pdf2svg(file=*this*, ext="png") - <> -#+end_src - -#+NAME: fig:slipring_time -#+CAPTION: Effect of the Slip-Ring on the measured signal - Time domain -#+RESULTS: fig:slipring_time -[[file:figs/slipring_time.png]] - -** Analysis - Frequency Domain -#+begin_src matlab :results none - dt = data8.data(2, 3) - data8.data(1, 3); - - Fs = 1/dt; - win = hanning(ceil(1*Fs)); -#+end_src - -#+begin_src matlab :results none - [pxx8, f] = pwelch(data8.data(:, 2), win, [], [], Fs); - [pxx9, ~] = pwelch(data9.data(:, 2), win, [], [], Fs); -#+end_src - -#+begin_src matlab :results none - figure; - hold on; - plot(f, sqrt(pxx9), 'DisplayName', 'Slip-Ring'); - plot(f, sqrt(pxx8), 'DisplayName', 'Wire'); - hold off; - set(gca, 'xscale', 'log'); - set(gca, 'yscale', 'log'); - xlabel('Frequency [Hz]'); ylabel('ASD [V/sqrt(Hz)]') - xlim([1, 500]); - legend('Location', 'southwest'); -#+end_src - -#+NAME: fig:slipring_asd -#+HEADER: :tangle no :exports results :results value raw replace :noweb yes -#+begin_src matlab :var filepath="figs/slipring_asd.pdf" :var figsize="wide-tall" :post pdf2svg(file=*this*, ext="png") - <> -#+end_src - -#+NAME: fig:slipring_asd -#+CAPTION: Effect of the Slip-Ring on the measured signal - Frequency domain -#+RESULTS: fig:slipring_asd -[[file:figs/slipring_asd.png]] - -** Conclusion -*Remaining questions to answer*: -- Why is there a sharp peak at 300Hz? -- Why the use of the Slip-Ring does induce a noise? -- Can the capacitive/inductive properties of the wires in the Slip-ring does not play well with the geophone? (resonant RLC circuit) - -* Measurement when signal from top geophone does not go trought the slip-ring - -| Ty | Ry | Slip Ring | Spindle | Hexapod | Meas. file | -|------+------+-----------+---------+---------+----------------| -| *ON* | *ON* | *ON* | *ON* | *ON* | =meas_003.mat= | -| OFF | *ON* | *ON* | *ON* | *ON* | =meas_004.mat= | -| OFF | OFF | *ON* | *ON* | *ON* | =meas_005.mat= | -| OFF | OFF | OFF | *ON* | *ON* | =meas_006.mat= | -| OFF | OFF | OFF | OFF | *ON* | =meas_007.mat= | -| OFF | OFF | OFF | OFF | OFF | =meas_008.mat= | diff --git a/Library/readme.org b/Library/readme.org index 36fe99f..8d3f7fc 100644 --- a/Library/readme.org +++ b/Library/readme.org @@ -25,7 +25,6 @@ Meas009: everything off with signal goes through the slip-ring ** From Marble to Ty =meas_010.mat= Everything off, one geophone on the marble, one geophone on the Ty (measure on Z direction) -=> Can be used to determine the vertical stiffness between the Granite and the Ty stage Channels: | 1 | Ground | @@ -35,7 +34,6 @@ Channels: ** From Marble to Ry =meas_011.mat= Everything off, one geophone on the marble, one geophone on the Ry (measure on Z direction) -=> Can be used to determine the vertical stiffness of the Ry Stage (by taking into account the Ty stiffness) Channels: | 1 | Ground | @@ -45,7 +43,6 @@ Channels: ** From Ty to Ry =meas_012.mat= Everything off, one geophone on the Ty, one geophone on the Ry (measure on Z direction) -=> Can be used to determine the vertical stiffness of the Ry stage Channels: | 1 | Ty | diff --git a/slip-ring-test/figs/random_signal.pdf b/slip-ring-test/figs/random_signal.pdf new file mode 100644 index 0000000000000000000000000000000000000000..ff2af32496cb7375989fccdaf2f859376a3c1ee2 GIT binary patch literal 85534 zcmV)QK(xOlP((&8F)lX>CCBWKq6#%2Fd%PYY6?6&FHB`_XLM*FHXtw{QZGhnY;kDk}kQD9yUL#$PHvF@CH^uGtNXUp-iMq zmNg(X;P#2{;Xvf6VvE&RCTr_^3SY*LKmZPZ!|`7~p0D)r;Q##ZAAkP(-~QA1_%Hv@ zuk`U>ewA9kQvWFV`6?@YR@xTASbu)Y3 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header-args:matlab+ :comments org +#+PROPERTY: header-args:matlab+ :results output +#+PROPERTY: header-args:matlab+ :exports both +#+PROPERTY: header-args:matlab+ :eval no-export +#+PROPERTY: header-args:matlab+ :output-dir figs +:END: + +* Measurement Description +Random Signal is generated by one DAC of the SpeedGoat. + +The signal going out of the DAC is split into two: +- one BNC cable is directly connected to one ADC of the SpeedGoat +- one BNC cable goes two times in the Slip-Ring (from bottom to top and then from top to bottom) and then is connected to one ADC of the SpeedGoat + +Two measurements are done. +| Data File | Description | +|--------------------+-----------------------| +| =mat/data_001.mat= | Slip-ring not turning | +| =mat/data_002.mat= | Slip-ring turning | + +For each measurement, the measured signals are: +| Data File | Description | +|-----------+------------------------------------| +| =t= | Time vector | +| =x1= | Direct signal | +| =x2= | Signal going through the Slip-Ring | + +The goal is to determine is the signal is altered when the spindle is rotating. + +Here, the rotation speed of the Slip-Ring is set to 1rpm. + +* Matlab Init :noexport:ignore: +#+begin_src matlab :exports none :results silent :noweb yes + <> +#+end_src + +* Load data +We load the data of the z axis of two geophones. +#+begin_src matlab :results none + sr_off = load('mat/data_001.mat', 't', 'x1', 'x2'); + sr_on = load('mat/data_002.mat', 't', 'x1', 'x2'); +#+end_src + +* Analysis +Let's first look at the signal produced by the DAC (figure [[fig:random_signal]]). + +#+begin_src matlab :results none + figure; + hold on; + plot(sr_on.t, sr_on.x1); + hold off; + xlabel('Time [s]'); ylabel('Voltage [V]'); + xlim([0 10]); +#+end_src + +#+NAME: fig:random_signal +#+HEADER: :tangle no :exports results :results value raw replace :noweb yes +#+begin_src matlab :var filepath="figs/random_signal.pdf" :var figsize="wide-normal" :post pdf2svg(file=*this*, ext="png") + <> +#+end_src + +#+NAME: fig:random_signal +#+CAPTION: Random signal produced by the DAC +#+RESULTS: fig:random_signal +[[file:figs/random_signal.png]] + +We now look at the difference between the signal directly measured by the ADC and the signal that goes through the slip-ring (figure [[fig:slipring_comp_signals]]). + +#+begin_src matlab :results none + figure; + hold on; + plot(sr_on.t, sr_on.x1 - sr_on.x2, 'DisplayName', 'Slip-Ring - $\omega = 1rpm$'); + plot(sr_off.t, sr_off.x1 - sr_off.x2,'DisplayName', 'Slip-Ring off'); + hold off; + xlabel('Time [s]'); ylabel('Voltage [V]'); + xlim([0 10]); + legend('Location', 'northeast'); +#+end_src + +#+NAME: fig:slipring_comp_signals +#+HEADER: :tangle no :exports results :results value raw replace :noweb yes +#+begin_src matlab :var filepath="figs/slipring_comp_signals.pdf" :var figsize="wide-normal" :post pdf2svg(file=*this*, ext="png") + <> +#+end_src + +#+NAME: fig:slipring_comp_signals +#+CAPTION: Alteration of the signal when the slip-ring is turning +#+RESULTS: fig:slipring_comp_signals +[[file:figs/slipring_comp_signals.png]] + +* Conclusion + +*Remaining questions*: +- Should the measurement be redone using voltage amplifiers? +- Use higher rotation speed and measure for longer periods (to have multiple revolutions) ? diff --git a/slip-ring-test/readme.org b/slip-ring-test/readme.org deleted file mode 100644 index 129330f..0000000 --- a/slip-ring-test/readme.org +++ /dev/null @@ -1,2 +0,0 @@ -|data_001|slip-ring not turning| -|data_002|slip-ring turning| \ No newline at end of file

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