From 28c4fbe083d252b58b391b9f9f20a60055325d09 Mon Sep 17 00:00:00 2001 From: Thomas Dehaeze Date: Tue, 25 Mar 2025 22:22:54 +0100 Subject: [PATCH] Change one curve color --- figs/ustation_frf_compliance_Rxyz_model.pdf | Bin 50337 -> 50333 bytes figs/ustation_frf_compliance_Rxyz_model.png | Bin 64970 -> 67388 bytes figs/ustation_frf_compliance_xyz_model.pdf | Bin 52368 -> 52360 bytes figs/ustation_frf_compliance_xyz_model.png | Bin 72325 -> 75065 bytes matlab/ustation_1_kinematics.m | 22 +++--- matlab/ustation_2_modeling.m | 42 +++++------ matlab/ustation_3_disturbances.m | 12 +-- simscape-micro-station.org | 77 ++++---------------- simscape-micro-station.pdf | Bin 8420138 -> 8419662 bytes simscape-micro-station.tex | 9 +-- 10 files changed, 55 insertions(+), 107 deletions(-) diff --git a/figs/ustation_frf_compliance_Rxyz_model.pdf b/figs/ustation_frf_compliance_Rxyz_model.pdf index 61e4fc2ce2525b7d4db890239fd35de365a8f4b1..89ca6a57c31d5202d7f48f7a56f60805ff16f936 100644 GIT binary patch delta 29888 zcmWhzbzIY57giAvDH%CRK?ZDew+f8d=n>KqqmgdVNi#|q8{M$c9ZHA-BZh!<3KD{J ziG}fd_x^S7=X=lho_p?j&U0>+p(%>c6d8fEa*{IAa?;Y$k}~ow&l{Lgf&NU7Z`DP8 zxS{tzKO%VW2i>y;siy9T3zK6@o1jYv&!{gfgQKqxpbgC014ob;NX%Ejcd)?H*?VCz z!vwdm*(qupWP{+Cb#B>&`j6}N%cr)HRo@}j805)d_MPRQ!%TTj6Se9t+;-02;a2^q z&P>W=K&b4l5u+xu8B5WLN?J-J-0aUy1yke9{|JgVAlD_SUijpgR&fc*tM=sYBnZb` znA1B37WxguO}s9+fsd9}tw{ebPTE?FipN*u7Z!3*blS7E4twTbF7z=x_u@@|GOT8x zc=2?eiPNVoseWUbkl|JmAQt8TYedn7XSXdmNNwKYfj#%z^;IoJJ*cqL;R5NtpgZ^( zIz0bFRbSS6+gv^2R5PJq<6Pb9P>sOVD>_Trh5@*exSM0IcCZLNOo-sSE$imY=ly!=3M&=Mz2SjEI@{`oOQWSA84cDE|9t z(iOIXY1x@KcyrYnP`r_IHb%yoLSJpYK3olGO5`3#sk{#OXwOLbLE~-C`ITNi|DcN# zgkck_{4K&(PXbc#iE_~dO8G^E$ITujTB3a0XMY12+aV+VVc+6 zqNqg-5(lk$-yCEmz~Yq#D8$F2h7YTmnRSpmHm)>=w=+AUQ7R*GY`{y8LYyT=%SDRG z#sui&s4?i<`8*=_85<^bv6N{${j5DWZG+#GrllpGD%!R!e35( zBdT1D`6{5KwdnV(B4+k4@1|b8sG2z|xlk0^6yVH31s<&E0r|s`Rts0}hUJ1Mc56;8 zkVI4F(EYMjdoIm-{#c8GQn{BcNX3(w*EjrGGC1pU;mY>46sz&QRH93#aptp>Hq1bV zrj;Fq``($dfx4zBnT3QWU~?qbJqg-2HtssB6F#<&;^{S+!RO}V?niA_$lP-@b(42Z zVOK0Fq5hxXe=M_M4Ot0tLOSdfHNaiicFX;?+g{Sz%lwjzWeMjYw-;}GziCS;Z~d27 z*5MC>g4QTxA)=`>L3*;6D*l=ZoYjh0IP=@^V~Ujdw=1c)JI&2ch{egy60E>9J(YA| zf-NciIE9Xx`-=_>F#8U}M~zpsMoW{VJLWgzQP-(?8{-v<`>1^wKIn*pw)y?Xoz0Vl z&&^Fh~DgR7u~Jiqx6=WqBS&E$^jN+eQB^ z?!Wqg=w_d;-gD!wKH3(w-e*d~GT{i@E>G~%!)EEQg|QBY(CnHl7d;|zKGv4kg2$|M z>)j@`)ev`o!BFiT;K}ueG22a~us053W+-lhS86_OOYz->EU9%b+ZU)8BeV6U?ReT0 z#{L>Fl=V5YZmaF7C;esn-KJ_-d$ZlW*@Gk>hfn{H_k#1R>Z^t4uVNwI>d#V0hL?5T zQO+Nen!Tx09w*TmvAZGD%DEiVoqb=R7zBPKDkQ`!4+&>HZ9)=UNfoG zcJ_;mt_!bm?%p4aua`d9^VRSjZX^DykRHEQ-(B;Gs}QbeaO)+5l&ZtM&^LyE=sJb> z)+Y>I#xeK8m2|$lm9b5HA#O5m12Y;0*1!vz9o$ZHV-&sQTbr zJ9+B+L%U!-^S;EFT|v;eyt>*jlc5`M)F`Gk18u5f`{c7TQ1x1~7k!r8va|%(_1m{t z!nhcG>pNrAf{N}hU4EnA+!(6qe!o0OL6=n zH{^NJ-MV&8OcGp{Y;ZDEFO!A%^eKPaTl&UH7uvj{F;i6fZMjWvB}`amLqvrgwsMqu zJFA+^8zfAyyXAl6^>)~+nxd#G4xMsp>2+Zw!hc&FN>_iQ{#(8kh53|PsDjENQ38vP z#vudF(e?9{QCQMQ?~x|3rLV{x+#9QH<^-n{S~_$Y6}v)o_*>d~fPy�f1{_2g}<1JypCPk`h zZKr?(zc7a-Laf7PhGXr}%q)gp>474*;fTg%*q)J7P%d!ku~`C58ftY`A;&#(X6Y_> zdIb9=#~(Tuab1Qyq$UIPx^9pFf@-_Lxucp+2R>@ID8;HM>O9_8{V7&kvYTN!VnFRN2 zTm8d%g}r2XV#fS#jJrr`P<><5PT+nR-*?yhsJZT&bu(47#32fhm_{#0|DRBm68gaLFP{L~Zp73$u?=mE@< zly>z%mFYNM&sNx)xsN)7iV`!pCY9I8H)pz%El-J|yQW?zA# zoLm~?7r_bY^5P{-$o@{2%;`qGWuF%^bcE1_HNwp2)LoQ${~$4;oc!dtK6d?iyVI-wQ)lWt zMQ#j9Ii1&g!2}uYW>tNq)=LrjT=73i^qG!1H?5Y1#e~nZEYCoij7+_v)s;U{9;D{g=4%YDO!iWSEWM+Z4{6fa z34U~ij=Az-f2Enh1J_GA6OwNjV!S^9Th;&G3FSlgZ~$KRpZGYnYCh$S`jWd=)Mf7Z zWy3rwrKD~2$C-u$k0yJyAXk{g)`hO6z9i;+GMI4~g|@OhPYVm@<{enuRiW&Y6`CO}Tao7TFpoJRIHKQJYW=ZF%H1d)j|{V}_xw+8ytY52ZWqejoJ?N=SD!b|T=>6z+>miGH~dDZB? 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z;9Sj%^|NX7d1mW#zX2SQ+fK|v&4Xl|A+(R}3YKH8T;%DToE%vO7n*eu!|5LtqMBbBXv67Ag7AS((*}S}< zJd07e#}?%Mwe^tqxZY5Xp9j9Ry0?c?UbmF|KZI;`{68Ff$7+nc7xkec)SW%+;z5dl zysqR`LXN=m9nfC6W|UI4x2>)@fUE{?0E}0T9Yr?K`UmhH^0pp5wvH-5SQiWIAmYgi z1TqgIheorn;hY5-NWs#bj*2q@4m67+L9&~VBJ!I=&AK(--EgC9f+(p_Ez#AUcgLq z2llrWxgun9$CGV_> -% From the measured effect of disturbances in Section ref:ssec:ustation_disturbances_meas and the sensitivity to disturbances extracted from the Simscape model in Section ref:ssec:ustation_disturbances_sensitivity, the power spectral density of the disturbance sources (i.e. forces applied in the stage's joint) can be estimated. +% From the measured effect of disturbances in Section ref:ssec:ustation_disturbances_meas and the sensitivity to disturbances extracted from the multi-body model in Section ref:ssec:ustation_disturbances_sensitivity, the power spectral density of the disturbance sources (i.e. forces applied in the stage's joint) can be estimated. % The obtained power spectral density of the disturbances are shown in Figure ref:fig:ustation_dist_sources. @@ -497,5 +497,5 @@ plot(Dw.t, 1e6*Dw.y, 'DisplayName', '$D_{yf}$'); plot(Dw.t, 1e6*Dw.z, 'DisplayName', '$D_{zf}$'); xlabel('Time [s]'); ylabel('Amplitude [$\mu$m]') xlim([0, 1]); ylim([-0.6, 0.6]) -leg = legend('location', 'southeast', 'FontSize', 8, 'NumColumns', 1); +leg = legend('location', 'northwest', 'FontSize', 8, 'NumColumns', 1); leg.ItemTokenSize(1) = 15; diff --git a/simscape-micro-station.org b/simscape-micro-station.org index c1d9dc5..af5a00a 100644 --- a/simscape-micro-station.org +++ b/simscape-micro-station.org @@ -1279,12 +1279,12 @@ Gm.OutputName = {'Dx', 'Dy', 'Dz', 'Drx', 'Dry', 'Drz'}; %% Extracted FRF of the compliance of the micro-station in the Cartesian frame from the Simscape model figure; hold on; -plot(f, abs(squeeze(FRF_cartesian(1,1,:))), '-', 'color', [colors(1,:), 0.5], 'DisplayName', '$D_x/F_x$ - Measured') -plot(f, abs(squeeze(FRF_cartesian(2,2,:))), '-', 'color', [colors(2,:), 0.5], 'DisplayName', '$D_y/F_y$ - Measured') -plot(f, abs(squeeze(FRF_cartesian(3,3,:))), '-', 'color', [colors(3,:), 0.5], 'DisplayName', '$D_z/F_z$ - Measured') -plot(f, abs(squeeze(freqresp(Gm(1,1), f, 'Hz'))), '--', 'color', colors(1,:), 'DisplayName', '$D_x/F_x$ - Model') -plot(f, abs(squeeze(freqresp(Gm(2,2), f, 'Hz'))), '--', 'color', colors(2,:), 'DisplayName', '$D_y/F_y$ - Model') -plot(f, abs(squeeze(freqresp(Gm(3,3), f, 'Hz'))), '--', 'color', colors(3,:), 'DisplayName', '$D_z/F_z$ - Model') +plot(f, abs(squeeze(FRF_cartesian(1,1,:))), '-', 'color', [colors(1,:), 0.5], 'linewidth', 2.5, 'DisplayName', '$D_x/F_x$ - Measured') +plot(f, abs(squeeze(FRF_cartesian(2,2,:))), '-', 'color', [colors(2,:), 0.5], 'linewidth', 2.5, 'DisplayName', '$D_y/F_y$ - Measured') +plot(f, abs(squeeze(FRF_cartesian(3,3,:))), '-', 'color', [colors(3,:), 0.5], 'linewidth', 2.5, 'DisplayName', '$D_z/F_z$ - Measured') +plot(f, abs(squeeze(freqresp(Gm(1,1), f, 'Hz'))), '-', 'color', colors(1,:), 'DisplayName', '$D_x/F_x$ - Model') +plot(f, abs(squeeze(freqresp(Gm(2,2), f, 'Hz'))), '-', 'color', colors(2,:), 'DisplayName', '$D_y/F_y$ - Model') +plot(f, abs(squeeze(freqresp(Gm(3,3), f, 'Hz'))), '-', 'color', colors(3,:), 'DisplayName', '$D_z/F_z$ - Model') hold off; leg = legend('location', 'southwest', 'FontSize', 8, 'NumColumns', 2); leg.ItemTokenSize(1) = 15; @@ -1302,12 +1302,12 @@ exportFig('figs/ustation_frf_compliance_xyz_model.pdf', 'width', 'half', 'height %% Extracted FRF of the compliance of the micro-station in the Cartesian frame from the Simscape model figure; hold on; -plot(f, abs(squeeze(FRF_cartesian(4,4,:))), '-', 'color', [colors(1,:), 0.5], 'DisplayName', '$R_x/M_x$ - Measured') -plot(f, abs(squeeze(FRF_cartesian(5,5,:))), '-', 'color', [colors(2,:), 0.5], 'DisplayName', '$R_y/M_y$ - Measured') -plot(f, abs(squeeze(FRF_cartesian(6,6,:))), '-', 'color', [colors(3,:), 0.5], 'DisplayName', '$R_z/M_z$ - Measured') -plot(f, abs(squeeze(freqresp(Gm(4,4), f, 'Hz'))), '--', 'color', colors(1,:), 'DisplayName', '$R_x/M_x$ - Model') -plot(f, abs(squeeze(freqresp(Gm(5,5), f, 'Hz'))), '--', 'color', colors(2,:), 'DisplayName', '$R_y/M_y$ - Model') -plot(f, abs(squeeze(freqresp(Gm(6,6), f, 'Hz'))), '--', 'color', colors(3,:), 'DisplayName', '$R_z/M_z$ - Model') +plot(f, abs(squeeze(FRF_cartesian(4,4,:))), '-', 'color', [colors(1,:), 0.5], 'linewidth', 2.5, 'DisplayName', '$R_x/M_x$ - Measured') +plot(f, abs(squeeze(FRF_cartesian(5,5,:))), '-', 'color', [colors(2,:), 0.5], 'linewidth', 2.5, 'DisplayName', '$R_y/M_y$ - Measured') +plot(f, abs(squeeze(FRF_cartesian(6,6,:))), '-', 'color', [colors(3,:), 0.5], 'linewidth', 2.5, 'DisplayName', '$R_z/M_z$ - Measured') +plot(f, abs(squeeze(freqresp(Gm(4,4), f, 'Hz'))), '-', 'color', colors(1,:), 'DisplayName', '$R_x/M_x$ - Model') +plot(f, abs(squeeze(freqresp(Gm(5,5), f, 'Hz'))), '-', 'color', colors(2,:), 'DisplayName', '$R_y/M_y$ - Model') +plot(f, abs(squeeze(freqresp(Gm(6,6), f, 'Hz'))), '-', 'color', colors(3,:), 'DisplayName', '$R_z/M_z$ - Model') hold off; leg = legend('location', 'southwest', 'FontSize', 8, 'NumColumns', 2); leg.ItemTokenSize(1) = 15; @@ -1322,7 +1322,7 @@ exportFig('figs/ustation_frf_compliance_Rxyz_model.pdf', 'width', 'half', 'heigh #+end_src #+name: fig:ustation_frf_compliance_model -#+caption: Compliance of the micro-station expressed in frame $\{\mathcal{X}\}$. The measured FRFs are display by solid lines, while the FRFs extracted from the multi-body models are shown by dashed lines. Both translation terms (\subref{fig:ustation_frf_compliance_xyz_model}) and rotational terms (\subref{fig:ustation_frf_compliance_Rxyz_model}) are displayed. +#+caption: Compliance of the micro-station expressed in frame $\{\mathcal{X}\}$. The measured FRFs are display by translucent lines, while the FRFs extracted from the multi-body models are shown by opaque lines. Both translation terms (\subref{fig:ustation_frf_compliance_xyz_model}) and rotational terms (\subref{fig:ustation_frf_compliance_Rxyz_model}) are displayed. #+attr_latex: :options [htbp] #+begin_figure #+attr_latex: :caption \subcaption{\label{fig:ustation_frf_compliance_xyz_model}Compliance in translation} @@ -3599,12 +3599,6 @@ end :header-args:matlab+: :comments none :mkdirp yes :eval no :END: -**** Documentation - -#+name: fig:stewart-frames-position -#+caption: Definition of the position of the frames -[[file:figs/stewart-frames-position.png]] - **** Function description #+begin_src matlab function [stewart] = initializeStewartPlatform() @@ -3709,51 +3703,6 @@ end :header-args:matlab+: :comments none :mkdirp yes :eval no :END: -**** Documentation - -#+begin_src latex :file stewart_bottom_plate.pdf :tangle no - \begin{tikzpicture} - % Internal and external limit - \draw[fill=white!80!black] (0, 0) circle [radius=3]; - % Circle where the joints are located - \draw[dashed] (0, 0) circle [radius=2.5]; - - % Bullets for the positions of the joints - \node[] (J1) at ( 80:2.5){$\bullet$}; - \node[] (J2) at (100:2.5){$\bullet$}; - \node[] (J3) at (200:2.5){$\bullet$}; - \node[] (J4) at (220:2.5){$\bullet$}; - \node[] (J5) at (320:2.5){$\bullet$}; - \node[] (J6) at (340:2.5){$\bullet$}; - - % Name of the points - \node[above right] at (J1) {$a_{1}$}; - \node[above left] at (J2) {$a_{2}$}; - \node[above left] at (J3) {$a_{3}$}; - \node[right ] at (J4) {$a_{4}$}; - \node[left ] at (J5) {$a_{5}$}; - \node[above right] at (J6) {$a_{6}$}; - - % First 2 angles - \draw[dashed, ->] (0:1) arc [start angle=0, end angle=80, radius=1] node[below right]{$\theta_{1}$}; - \draw[dashed, ->] (0:1.5) arc [start angle=0, end angle=100, radius=1.5] node[left ]{$\theta_{2}$}; - - % Division of 360 degrees by 3 - \draw[dashed] (0, 0) -- ( 80:3.2); - \draw[dashed] (0, 0) -- (100:3.2); - \draw[dashed] (0, 0) -- (200:3.2); - \draw[dashed] (0, 0) -- (220:3.2); - \draw[dashed] (0, 0) -- (320:3.2); - \draw[dashed] (0, 0) -- (340:3.2); - - % Radius for the position of the joints - \draw[<->] (0, 0) --node[near end, above]{$R$} (180:2.5); - - \draw[->] (0, 0) -- ++(3.4, 0) node[above]{$x$}; - \draw[->] (0, 0) -- ++(0, 3.4) node[left]{$y$}; - \end{tikzpicture} -#+end_src - **** Function description #+begin_src matlab function [stewart] = generateGeneralConfiguration(stewart, args) diff --git a/simscape-micro-station.pdf b/simscape-micro-station.pdf index 7ab38c0e8685effdbed6fc397d61a2dfad299f5f..097e8c5970dd3d3efe0fb8ec10875967e6b30649 100644 GIT binary patch delta 89194 zcmXuqWl$W!wg6z<-3bt6(clnVgS#cT1hTk01Y6v~;_mJe+}+*X-Q6Yd_TKm2kFTcc z%&G1((_J&wBc%_1a1%FvaDR1>VcB`V#$m%SfWVQh82+MIlAayEMrdMOOtY47$it8m zR*6xm%A&KWLxX(U|73?{%zGOp8{uwer8b*)XduBfvx@}?K+6t;Y1q^pexTaZ zoN4>mz3>mO@Wu>{NMixDg(ZF!*acf_am?RWTS>Q`{^_u-y6(2=9O?p4^cQgKj01Kw zc)sN_DZ_)C3aU^(?u;ae4oV-?)`HQeNM*&%e_Nj4X-|^@jkLKwqY9;=q5SLpcQhi& zT6rkelyr3^hZkUo5@Lt~4FLlI3jqfK4}k!I2!RBF4Dp{lR0uQ(bO;OxOb9FpYzQ0( 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z_fzbnYYdd}zz2gpP?VUPuS5xQiA-O&r`C6+|GTFJGnim)_9kQUDIS;~Q5-5etHE1M zJbzk)=Q&1M%Fp%H>CJ}et+={ag~<+g4bd3L&R#0OF{V6jWVu%Sc&bYT5*yxf_H<|g zC2YfKUi}SH^RlErm!YPz%L+${-f(*%`)*Ns&ITwpwTzwa3=Toe2^=!9(b?$2&$I%S zEnjCiH8*c(IIXR1M?FEInfol-7&q&91v>RBYe))u_C>u3`XQ-I|M>cw(woT*5m9_YpHESox-on?F>7~AS^a#P>BXn zd;M&dj+VR7>0MLH07MmZU?Ug{O-8=2_qxb#D1DbFiI0~5Of~JPOV??7BQ3pi?wc>S zDJ~j52`=TEl7-B{44Yyd rD+IlZ-j01MJ5{~#UhrA<5v!($Jx}_Xh$tZ@RYeub)mwVz`b_@;?@(iH diff --git a/simscape-micro-station.tex b/simscape-micro-station.tex index 3d55098..db18cd4 100644 --- a/simscape-micro-station.tex +++ b/simscape-micro-station.tex @@ -1,4 +1,4 @@ -% Created 2024-11-18 Mon 13:10 +% Created 2025-03-25 Tue 22:22 % Intended LaTeX compiler: pdflatex \documentclass[a4paper, 10pt, DIV=12, parskip=full, bibliography=totoc]{scrreprt} @@ -422,6 +422,7 @@ The springs and dampers values were first estimated from the joint/stage specifi The spring values are summarized in Table \ref{tab:ustation_6dof_stiffness_values}. \begin{table}[htbp] +\caption{\label{tab:ustation_6dof_stiffness_values}Summary of the stage stiffnesses. The contrained degrees-of-freedom are indicated by ``-''. The frames in which the 6-DoF joints are defined are indicated in figures found in Section \ref{ssec:ustation_stages}} \centering \begin{tabularx}{\linewidth}{Xcccccc} \toprule @@ -434,8 +435,6 @@ Spindle & \(700\,N/\mu m\) & \(700\,N/\mu m\) & \(2\,kN/\mu m\) & \(10\,Nm/\mu\t Hexapod & \(10\,N/\mu m\) & \(10\,N/\mu m\) & \(100\,N/\mu m\) & \(1.5\,Nm/rad\) & \(1.5\,Nm/rad\) & \(0.27\,Nm/rad\)\\ \bottomrule \end{tabularx} -\caption{\label{tab:ustation_6dof_stiffness_values}Summary of the stage stiffnesses. The contrained degrees-of-freedom are indicated by ``-''. The frames in which the 6-DoF joints are defined are indicated in figures found in Section \ref{ssec:ustation_stages}} - \end{table} \section{Comparison with the measured dynamics} @@ -558,7 +557,7 @@ Considering the complexity of the micro-station compliance dynamics, the model c \end{center} \subcaption{\label{fig:ustation_frf_compliance_Rxyz_model}Compliance in rotation} \end{subfigure} -\caption{\label{fig:ustation_frf_compliance_model}Compliance of the micro-station expressed in frame \(\{\mathcal{X}\}\). The measured FRFs are display by solid lines, while the FRFs extracted from the multi-body models are shown by dashed lines. Both translation terms (\subref{fig:ustation_frf_compliance_xyz_model}) and rotational terms (\subref{fig:ustation_frf_compliance_Rxyz_model}) are displayed.} +\caption{\label{fig:ustation_frf_compliance_model}Compliance of the micro-station expressed in frame \(\{\mathcal{X}\}\). The measured FRFs are display by translucent lines, while the FRFs extracted from the multi-body models are shown by opaque lines. Both translation terms (\subref{fig:ustation_frf_compliance_xyz_model}) and rotational terms (\subref{fig:ustation_frf_compliance_Rxyz_model}) are displayed.} \end{figure} \chapter{Estimation of Disturbances} @@ -821,7 +820,7 @@ A similar error amplitude was observed, thus indicating that the multi-body mode \end{figure} \chapter*{Conclusion} -\label{sec:uniaxial_conclusion} +\label{sec:ustation_conclusion} In this study, a multi-body model of the micro-station was developed. It was difficult to match the measured dynamics obtained from the modal analysis of the micro-station.