From feff6cb5dd113d9b3dcca870bcee9fc495e480d6 Mon Sep 17 00:00:00 2001 From: Thomas Dehaeze Date: Mon, 21 Apr 2025 16:48:59 +0200 Subject: [PATCH] Add Figures --- .gitattributes | 3 + .gitignore | 2 - figs/detail_design_apa.pdf | Bin 0 -> 656741 bytes figs/detail_design_apa.png | Bin 0 -> 66160 bytes figs/detail_design_apa_mod.jpg | Bin 0 -> 201269 bytes figs/detail_design_enc_plates.jpg | Bin 0 -> 662976 bytes figs/detail_design_enc_struts.jpg | Bin 0 -> 722499 bytes figs/detail_design_encoders_plates.jpg | Bin 0 -> 1789629 bytes figs/detail_design_fem_encoder_fix.pdf | Bin 0 -> 45058 bytes figs/detail_design_fem_encoder_fix.png | Bin 0 -> 56726 bytes figs/detail_design_fem_plate_mode.jpg | Bin 0 -> 116247 bytes figs/detail_design_fem_rigid_body_mode.jpg | Bin 0 -> 38671 bytes figs/detail_design_fem_strut_mode.jpg | Bin 0 -> 26049 bytes ...detail_design_fixation_flexible_joints.pdf | Bin 0 -> 224990 bytes ...detail_design_fixation_flexible_joints.png | Bin 0 -> 55616 bytes 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#+LaTeX_CLASS: scrreprt #+LaTeX_CLASS_OPTIONS: [a4paper, 10pt, DIV=12, parskip=full, bibliography=totoc] -#+LaTeX_HEADER_EXTRA: \input{preamble.tex} +#+LATEX_HEADER: \input{preamble.tex} +#+LATEX_HEADER_EXTRA: \input{preamble_extra.tex} #+LATEX_HEADER_EXTRA: \bibliography{nass-design.bib} #+BIND: org-latex-bib-compiler "biber" #+PROPERTY: header-args:matlab :session *MATLAB* -#+PROPERTY: header-args:matlab+ :comments org +#+PROPERTY: header-args:matlab+ :comments no #+PROPERTY: header-args:matlab+ :exports none #+PROPERTY: header-args:matlab+ :results none #+PROPERTY: header-args:matlab+ :eval no-export @@ -44,12 +45,6 @@ #+PROPERTY: header-args:latex+ :post pdf2svg(file=*this*, ext="png") :END: -#+begin_export html -


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    -#+end_export - #+latex: \clearpage * Build :noexport: @@ -96,59 +91,416 @@ #+END_SRC * Notes :noexport: +** Notes +Prefix is =detail_design= + +- [ ] Look [[https://gitlab.esrf.fr/dehaeze/nass-fem/-/tree/master?ref_type=heads][here]] for the struts, encoder support, etc... +- [ ] file:~/Cloud/work-projects/ID31-NASS/matlab/nass-simscape/org/nano_hexapod.org +- [ ] Design of the flexible joints +- [ ] Nice pictures: file:/home/thomas/Cloud/work-projects/ID31-NASS/nano-hexapod +- [ ] Mounting of struts is explained later in file:~/Cloud/work-projects/ID31-NASS/phd-thesis-chapters/C3-test-bench-struts/test-bench-struts.org +- [ ] Mounting of hexapod is explained in file:~/Cloud/work-projects/ID31-NASS/phd-thesis-chapters/C4-test-bench-nano-hexapod/test-bench-nano-hexapod.org + +*Outline*: +- Design goals: + - Position =bi= and =si= + - Maximum height of 95mm + - As close as possible to "perfect" stewart platform: flexible modes at high frequency + - Summary of specifications + - Easy mounting, easy change of strut in case of failure +- Plates: + - Maximize frequency of flexible modes (show FEM) + - Good tolerances for interfaces with flexible joints + Positioning of =bi= and orientation =si= +- Flexible joints: +- Strut mounting (later described) +- Encoder support: + - Possible to fix them to the struts or to the plates + +** TODO [#C] Summary of the specifications + +Flexible joints: +- Axial Stiffness +- Bending Stiffness +- Stroke + +APA: +- Axial stiffness + +Encoders: +- Stroke, Noise + +Plates: +- Maximize flexible modes +- Correct positioning of bi and si => precisely know the Jacobian matrix + +** TODO [#C] Explain the good wanted flatness for the APA + +#+begin_quote +Sur le plan on a une co-planéitée de 0.08mm entre les 2 interfaces (ce +qui est pas très exigent avant la découpe intérieure au fil, mais qui +est pas si évidente que ça si la matière a des contraintes interne). En +plus, ça peut évoluer après collage des piezos (c'est probablement ce +qu'on regardait sur ta photo.) + +Je pense qu'on avait demandé ça pour ne pas consommer la course des flex +seulement pour compenser les défauts d'usinage/collage. 20um c’était +vraiment du bon boulot. + +Le plans que Damien avait fait du corps de l'APA est en pj si tu veux +illustrer. +#+end_quote + +** TODO [#C] Understand why hexapod stiffness (maximizing suspension modes) is often the main design goal + +See for instance cite:afzali-far16_vibrat_dynam_isotr_hexap_analy_studies. + +Possible reasons: +- ease of designing a controller with bandwidth < first suspension mode +- when controlling <6DoF, above the resonance the "off-axis" motion may be very large even though the "on-axis" is controlled. + +Not the case for the following references (control bandwidth > suspension mode): +- cite:hanieh03_activ_stewar + +Example of claims that resonances impose limitation to control bandwidth: +From cite:babakhani12_activ_dampin_vibrat_high_precis_motion_system (page i) +#+begin_quote +Speed and accuracy in motion systems can be attained by implementing a high-bandwidth motion controller. +The resonances in the plant transfer impose a limit on the achievable bandwidth of such a controller. +#+end_quote + +** DONE [#B] Put all the figure in the document +CLOSED: [2025-04-21 Mon 14:21] + +*Design*: +- [X] Overview + [[file:figs/detail_design_nano_hexapod_elements.png]] +- [X] Final design of struts + [[file:figs/detail_design_strut_without_enc.jpg]] + [[file:figs/detail_design_strut_with_enc.jpg]] +- [X] Modification of APA300ML for easier mounting purposes + [[file:figs/detail_design_apa_mod.jpg]] +- [X] Plate design + [[file:figs/detail_design_top_plate.jpg]] +- [X] Design of plates for positioning struts + [[file:figs/detail_design_fixation_flexible_joints.png]] + [[file:figs/detail_design_location_bot_flex.png]] + [[file:figs/detail_design_location_top_flexible_joints.png]] +- [X] Design of Flexible joints for fixation to the plates / precise positioning of center of rotation + [[file:figs/detail_design_specifications_flexible_joints.png]] +- [X] Encoder on plates + [[file:figs/detail_design_encoders_plates.jpg]] + [[file:figs/detail_design_enc_plates.jpg]] +- [X] Encoder on struts + [[file:figs/detail_design_enc_struts.jpg]] + +*FEM*: +- [X] FEM of nano-hexapod: rigid body modes + [[file:figs/detail_design_fem_rigid_body_mode.jpg]] +- [X] FEM of struts => maybe issue with encoder => several options + [[file:figs/detail_design_fem_strut_mode.jpg]] +- [X] FEM of plates + [[file:figs/detail_design_fem_plate_mode.jpg]] +- [X] FEM of encoder support + [[file:figs/detail_design_fem_encoder_fix.png]] + +*Multi-Body Model*: +- [X] Joint Model + [[file:figs/detail_design_simscape_model_flexible_joint.png]] +- [X] Encoder model + [[file:figs/detail_design_simscape_encoder.png]] + [[file:figs/detail_design_simscape_encoder_disp.png]] +- [X] Screenshot of Simscape Model + [[file:figs/detail_design_simscape_encoder_plates.png]] + [[file:figs/detail_design_simscape_encoder_struts.png]] + +20 figures + +** DONE [#A] Make detailed outline +CLOSED: [2025-04-21 Mon 14:13] + +- *Design goals*: + - Position =bi= and =si= + - Maximum height of 95mm + - As close as possible to "perfect" stewart platform: flexible modes at high frequency + - Easy mounting, easy change of strut in case of failure +- *Mechanical Design* + - Struts: + - Flexible joints: interface with plates, etc.. + - APA: modification for better mounting + - Encoder support: + - Plates: + - Maximize frequency of flexible modes (show FEM) + - Good tolerances for interfaces with flexible joints + Positioning of =bi= and orientation =si= + - Obtained design: + - FEM of complete system + - Show modes of the struts + - Alternative encoder position: on the plates +- *Multi body Model*: + - Complete model: two plates, 6 joints, 6 actuators, 6 encoders + - Joint Model + - APA Model + - Encoder model + - Say that obtained dynamics was considered good + possible to perform simulations of tomography experiments with same performance as during the conceptual design * Introduction :ignore: +#+name: fig:detail_design_nano_hexapod_elements +#+caption: Obtained mechanical design of the Active platform, the "nano-hexapod" +#+attr_latex: :width 0.95\linewidth +[[file:figs/detail_design_nano_hexapod_elements.png]] + + +*Design goals*: +- Position =bi= and =si= +- Maximum height of 95mm +- As close as possible to "perfect" stewart platform: flexible modes at high frequency +- Easy mounting, easy change of strut in case of failure + + Presentation of the obtained design: - Fixation +- Section on: Complete strut - Cable management - Plates design - FEM results -- Table some pictures from here: [[file:~/Cloud/work-projects/ID31-NASS/matlab/nass-nano-hexapod-assembly/nass-nano-hexapod-assembly.org][nass-nano-hexapod-assembly]] - Explain again the different specifications in terms of space, payload, etc.. - CAD view of the nano-hexapod - Chosen geometry, materials, ease of mounting, cabling, ... - Validation on Simscape with accurate model? -#+name: tab:nass_design_section_matlab_code -#+caption: Report sections and corresponding Matlab files -#+attr_latex: :environment tabularx :width 0.6\linewidth :align lX -#+attr_latex: :center t :booktabs t -| *Sections* | *Matlab File* | -|----------------------------------+------------------------| -| Section ref:sec:nass_design_ | =nass_design_1_.m= | +* Mechanical Design +<> + +** Struts +**** Introduction :ignore: + +#+name: fig:detail_design_strut +#+caption: Design of the Nano-Hexapod struts. Before (\subref{fig:detail_design_strut_without_enc}) and after (\subref{fig:detail_design_strut_with_enc}) encoder integration. +#+attr_latex: :options [htbp] +#+begin_figure +#+attr_latex: :caption \subcaption{\label{fig:detail_design_strut_without_enc}Before encoder integration} +#+attr_latex: :options {0.49\textwidth} +#+begin_subfigure +#+attr_latex: :width 0.95\linewidth +[[file:figs/detail_design_strut_without_enc.jpg]] +#+end_subfigure +#+attr_latex: :caption \subcaption{\label{fig:detail_design_strut_with_enc}With the mounted encoder} +#+attr_latex: :options {0.49\textwidth} +#+begin_subfigure +#+attr_latex: :width 0.95\linewidth +[[file:figs/detail_design_strut_with_enc.jpg]] +#+end_subfigure +#+end_figure + +**** Flexible joints + +Flexible joints: X5CrNiCuNb16-4 (F16Ph) +- high yield strength: specified >1GPa using heat treatment +- high fatigue resistance + +#+name: fig:detail_design_apa_joints +#+caption: Two main components of the struts: the amplified piezoelectric actuator (\subref{fig:detail_design_apa}) and the flexible joint (\subref{fig:detail_design_flexible_joint}). +#+attr_latex: :options [htbp] +#+begin_figure +#+attr_latex: :caption \subcaption{\label{fig:detail_design_apa}Amplified Piezoelectric Actuator} +#+attr_latex: :options {0.49\textwidth} +#+begin_subfigure +#+attr_latex: :scale 1 +[[file:figs/detail_design_apa.png]] +#+end_subfigure +#+attr_latex: :caption \subcaption{\label{fig:detail_design_flexible_joint}Flexible joint} +#+attr_latex: :options {0.49\textwidth} +#+begin_subfigure +#+attr_latex: :scale 1 +[[file:figs/detail_design_flexible_joint.png]] +#+end_subfigure +#+end_figure + +**** Piezoelectric Amplified Actuators + +APA: modification for better mounting + +**** Encoder support + +All other parts are made of aluminum. + +** Plates + +Plates: X30Cr13 +- high hardness to not deform -* Amplified Piezoelectric Design +- Maximize frequency of flexible modes (show FEM) +- Good tolerances for interfaces with flexible joints + Positioning of =bi= and orientation =si= + +#+name: fig:detail_design_top_plate +#+caption: The mechanical design for the top platform incorporates precisely positioned V-grooves for the joint interfaces (displayed in red). The purpose of the encoder interface (shown in green) is detailed later. +#+attr_latex: :scale 1 +[[file:figs/detail_design_top_plate.png]] + +The cylindrical component is located (or constrained) within the V-groove via two distinct line contacts. + +#+name: fig:detail_design_fixation_flexible_joints +#+caption: Fixation of the flexible points to the nano-hexapod plates. Both top and bottom flexible joints are clamped to the plates as shown in (\subref{fig:detail_design_fixation_flexible_joints}). While the top flexible joint is in contact with the top plate for precise positioning of its center of rotation (\subref{fig:detail_design_location_top_flexible_joints}), the bottom joint is just oriented (\subref{fig:detail_design_location_bot_flex}). +#+begin_figure +#+attr_latex: :caption \subcaption{\label{fig:detail_design_fixation_flexible_joints}Flexible Joint Clamping} +#+attr_latex: :options {0.33\textwidth} +#+begin_subfigure +#+attr_latex: :width 0.99\linewidth +[[file:figs/detail_design_fixation_flexible_joints.png]] +#+end_subfigure +#+attr_latex: :caption \subcaption{\label{fig:detail_design_location_top_flexible_joints}Top positioning} +#+attr_latex: :options {0.33\textwidth} +#+begin_subfigure +#+attr_latex: :width 0.99\linewidth +[[file:figs/detail_design_location_top_flexible_joints.png]] +#+end_subfigure +#+attr_latex: :caption \subcaption{\label{fig:detail_design_location_bot_flex}Bottom Positioning} +#+attr_latex: :options {0.33\textwidth} +#+begin_subfigure +#+attr_latex: :width 0.99\linewidth +[[file:figs/detail_design_location_bot_flex.png]] +#+end_subfigure +#+end_figure + +** Finite Element Analysis + + +#+name: fig:detail_design_enc_struts +#+caption: Obtained Nano-Hexapod design +#+attr_latex: :width 0.9\linewidth +[[file:figs/detail_design_enc_struts.jpg]] + +- FEM of complete system +- Show modes of the struts + +#+name: fig:detail_design_fem_nano_hexapod +#+caption: Measurement of strut flexible modes. First six modes are "suspension" modes in which the top plate behaves as a rigid body (\subref{fig:detail_design_fem_rigid_body_mode}). Then modes of the struts have natural frequencies from $205\,\text{Hz}$ to $420\,\text{Hz}$ (\subref{fig:detail_design_fem_strut_mode}). Finally, the first flexible mode of the top plate is at $650\,\text{Hz}$ (\subref{fig:detail_design_fem_plate_mode}) +#+attr_latex: :options [htbp] +#+begin_figure +#+attr_latex: :caption \subcaption{\label{fig:detail_design_fem_rigid_body_mode}Suspension modes} +#+attr_latex: :options {0.33\textwidth} +#+begin_subfigure +#+attr_latex: :width 0.9\linewidth +[[file:figs/detail_design_fem_rigid_body_mode.jpg]] +#+end_subfigure +#+attr_latex: :caption \subcaption{\label{fig:detail_design_fem_strut_mode}Strut - Local modes} +#+attr_latex: :options {0.33\textwidth} +#+begin_subfigure +#+attr_latex: :width 0.9\linewidth +[[file:figs/detail_design_fem_strut_mode.jpg]] +#+end_subfigure +#+attr_latex: :caption \subcaption{\label{fig:detail_design_fem_plate_mode}Top plate modes} +#+attr_latex: :options {0.33\textwidth} +#+begin_subfigure +#+attr_latex: :width 0.9\linewidth +[[file:figs/detail_design_fem_plate_mode.jpg]] +#+end_subfigure +#+end_figure + +** Obtained Design + +- Alternative encoder position: on the plates +- Support made of aluminum + +#+name: fig:detail_design_enc_plates_design +#+caption: Alternative way of using the encoders: they are fixed directly to the plates. +#+attr_latex: :options [htbp] +#+begin_figure +#+attr_latex: :caption \subcaption{\label{fig:detail_design_enc_plates}Nano-Hexapod with encoders fixed to the plates} +#+attr_latex: :options {0.59\textwidth} +#+begin_subfigure +#+attr_latex: :height 5cm +[[file:figs/detail_design_enc_plates.jpg]] +#+end_subfigure +#+attr_latex: :caption \subcaption{\label{fig:detail_design_encoders_plates}Zoom on encoder fixation} +#+attr_latex: :options {0.39\textwidth} +#+begin_subfigure +#+attr_latex: :height 5cm +[[file:figs/detail_design_encoders_plates.jpg]] +#+end_subfigure +#+end_figure + + +#+name: fig:detail_design_fem_encoder_fix +#+caption: Finite Element Analysis of the encoder supports. Encoder inertia was taken into account. +[[file:figs/detail_design_fem_encoder_fix.png]] + +* Multi-Body Model :PROPERTIES: -:HEADER-ARGS:matlab+: :tangle matlab/nass_design_1_.m +:HEADER-ARGS:matlab+: :tangle matlab/detail_design_1_model.m :END: -<> +<> + +*Multi body Model*: +- Complete model: two plates, 6 joints, 6 actuators, 6 encoders +- Joint Model +- APA Model +- Encoder model +- Say that obtained dynamics was considered good + possible to perform simulations of tomography experiments with same performance as during the conceptual design + ** Introduction :ignore: -** Matlab Init :noexport:ignore: -#+begin_src matlab :tangle no :exports none :results silent :noweb yes :var current_dir=(file-name-directory buffer-file-name) -<> -#+end_src +Two configurations: +- Encoders fixed to the struts +- Encoders fixed to the plates -#+begin_src matlab :exports none :results silent :noweb yes -<> -#+end_src +#+name: fig:detail_design_simscape_encoder +#+caption: 3D representation of the multi-body model. There are two configurations: encoders fixed to the struts (\subref{fig:detail_design_simscape_encoder_struts}) and encoders fixed to the plates (\subref{fig:detail_design_simscape_encoder_plates}). +#+attr_latex: :options [htbp] +#+begin_figure +#+attr_latex: :caption \subcaption{\label{fig:detail_design_simscape_encoder_struts}Encoders fixed to the struts} +#+attr_latex: :options {0.49\textwidth} +#+begin_subfigure +#+attr_latex: :width 0.95\linewidth +[[file:figs/detail_design_simscape_encoder_struts.png]] +#+end_subfigure +#+attr_latex: :caption \subcaption{\label{fig:detail_design_simscape_encoder_plates}Encoders fixed to the plates} +#+attr_latex: :options {0.49\textwidth} +#+begin_subfigure +#+attr_latex: :width 0.95\linewidth +[[file:figs/detail_design_simscape_encoder_plates.png]] +#+end_subfigure +#+end_figure -#+begin_src matlab :tangle no :noweb yes -<> -#+end_src -#+begin_src matlab :eval no :noweb yes -<> -#+end_src +** Flexible Joints + +#+name: fig:detail_design_simscape_model_flexible_joint +#+caption: Multi-Body (using the Simscape software) model of the flexible joints. A 4-DoFs model is shown. +#+attr_latex: :scale 1 +[[file:figs/detail_design_simscape_model_flexible_joint.png]] + +** Amplified Piezoelectric Actuators + + + +** Encoders + +#+name: fig:detail_design_simscape_encoder_model +#+caption: Representation of the encoder model in the multi-body model. Measurement $d_i$ corresponds to the $x$ position of the encoder frame $\{E\}$ expresssed in the ruller frame $\{R\}$ (\subref{fig:detail_design_simscape_encoder}). A rotation of the encoder therefore induces a measured displacement (\subref{fig:detail_design_simscape_encoder_disp}). +#+attr_latex: :options [htbp] +#+begin_figure +#+attr_latex: :caption \subcaption{\label{fig:detail_design_simscape_encoder}Aligned encoder and ruler} +#+attr_latex: :options {0.49\textwidth} +#+begin_subfigure +#+attr_latex: :scale 1 +[[file:figs/detail_design_simscape_encoder.png]] +#+end_subfigure +#+attr_latex: :caption \subcaption{\label{fig:detail_design_simscape_encoder_disp}Rotation of the encoder head} +#+attr_latex: :options {0.49\textwidth} +#+begin_subfigure +#+attr_latex: :scale 1 +[[file:figs/detail_design_simscape_encoder_disp.png]] +#+end_subfigure +#+end_figure -#+begin_src matlab :noweb yes -<> -#+end_src * Conclusion -<> +<> * Bibliography :ignore: #+latex: \printbibliography[heading=bibintoc,title={Bibliography}] diff --git a/nass-design.pdf b/nass-design.pdf index 0e3df6803b8ff36ed3fa8ee7f93a1afd7c470518..59357be8acaf90067da1ffe925710d60d45a970b 100644 GIT binary patch literal 9450068 zcmce+1z418*ETFFpme7q(hWn0fFKM=H_|e6Bi)E}Np~|KT}nwxNv9xP0y1=W{WGBM zeE0Xf|M%_3LtyTid+uw+xz;+@x-LpN5g;Rgi3^ExV7P4ziJg>%)Cy#Z^yCQ=vy!v5 z0V(qfS&*rLo*fdiqCLp&`W>K^jRg|3u&|XAsRj%5egMn$j}{U$?33$n0g#xbb?t0S zpmzYEcR)Xf{f6G5U|?%yZ=+{mOUeO#M*)dh%D~dd&X^RyLHgq#^eHChb_O=2%s_Kp zI|C5|Ju7_!Bmn^=TRR&AT?-_qi7)7Vax{H&w{Ia{z-=QLSnB`y1o{dlIv4c8{~Z;$ z|1A}G{%a}#V9xnh+yH>N{J-M|0PDY|#D5P=fPW25tS}${cRaxgbNasmCswxqo)WMm z`0pse`QK9lhTMNgiT_@9V*A&!6Wf0;JF)$1*@^AH7ZYs%T1>FPh`@g*JF&sS?_Y@t z_TTfSpOl81{XeEOp`rZ9%`7;gN0&id?_Mr+OD1N4zu}|R=wthf>uC(ot&(24C>Fd) z`cnUZ>4;S6HH++a|ASh6ZpC{(nr2;18$#l}wz@)+ZSuHt5@V$?R>=U&vlCRfN9N!Pse4GuOp{ zFTQj2$t+19I!Ob{rhg-Py`d&oLsU=%Z`N$u;#El>n8*9|wzon5qXxvQ1Xc+9-EE6V z*T&I^w3Y2wp<33;Q^)y9sj9D3KO3^$rY}qlKgW)w-qRXZ)^LuR@X#~_5+)Hr7Vq^J z?`A5V*Z~TgE!UEknGA%nN)d&O_MH;Fxra?tSqJh*%%yYrk9*3p@!Hn$+jw`r{S{1H zzb`aDz{JhY{U3v=NJT?-k_E?OtEALPf)ezNTUDD10mov9oio4w6N%Kfcd<6KWynjj zTigyN3cPnUl=5WUc$VFk-DU&%l}ORGr0ePpJbP0* zIpDe;TiL$e+8Gy=9&EUK$HQ}PP95K}zkT^+Q6I0Brp;tg%(&sH&)sQ|h_KWJPOq)q zT8~JX<;igNefy4;{iE}>&K_Bp97|nV>xNl+D$~>!phQZLk)q(M*g`x)`UB0mMa6Hg zAAS>;A2!tZzyemc*|UyaL6vy2`o+OgnYF@rV%4dX%X;%3s;LUsW~9}a>FR0OmrtJG z7R7kGR6mZrbxoiC)Zzgl=MM8`=S*j=M#XxH9}2vs`>1&{8O<%Fr@1_B;8u>%-FLJy zfn{#X*j8H|+MLh&ZHqZBfk>2z6YB`iTE$v27zdh8(p00mox^B+K64{5>n_d@1l#Y_ z!Urw1`seE*J?kFKY)^mtFk%$(nc@R^3;2QK1}|G?G*)4~m-Yg}5Ww9P-z#F52cUrg z7CYJ*x|Af5r@{M=Opih>M6%baic$39G;z9V2NY4&()^SURPLqPUq0S48Y1ZL0;*@Q z@Kvl14~o-nN)|AVte5Lkv`)hJ4@V@#1__!_6e>SsOqH1?y_dol=HvE(O;rufW-WqN z&*=WpC=Wy%kJ0nR9ftEK>;Y(}! zAsW!>&!NF0zv^(WiS+1oU5N(M$DLl@9W>3l{f~wNjC;kCb&XMOH1up`y0x6F+LczX zsqjeW@)*hcl1!Ct+RkVnj_>eH?u3pM&c(=7tBj7R*C13{<(ZqZbHI>&HjEcAg3hyf(hE= z8_4Kd7?9F1F&ml~*)r=J*y);>>*yQUniyH?Sn66@=@=V0=~`Rq>lm0DSQuE^*)mz{ z8`2^%Uw>at*T_J|-U0-j6F_GT*Ka+yG_(>i(X%7v{!!+Cn^16Za4@m6bFgr*k+QOL zF!8VgczC#=(+DveD|>5F?jKFdZ?g&5^h4CiPE64bI)NaCUFou1|9K_^TTV|G`Wrft z5D@q|9l8F{iHnr`2kUm?Cgr~A=b-lhtt{=JH;^(LGO{qTkn&tFcXI_G<+)~u*AM$O z4B_Gcu>2p#AjuV)TKx|{S~R5T0ODqD3k)71%HfC)ls|oad%Dm|^X^A+qYZuhE#fU+ zZFWcrbDDoN(Dv;GuSS*{sQ|hdxjc?&1kUn7ZPb;v>q%qyZV}?F>vY)iM*GIvMSCxz zBeK9&!;FNa>!vZ*A;tt_Yo(`C?Um(KaQV_5=L)WkFw{s}8EpgnvJNnhaMQiUWANnF z{^$k1XTe!x!)(KMr;%li6^{`7v!d_&+*589DJ3-;-DnH5nbw*$=hpnrI^CD^vb7Cm z7puMBzepe3Jf7^K4yk&fXZz}CQ$>P#X3NT_+p%QYtg3sTueVzkb?t@3OYh4R@j-%x!Dbij(j(R>7Xo{A=fuc@&$jH zW{uId@D;N>Z(v_lJIC>X4w}K{WYt>uwDTZ+$RY@Rmwb6h;(RFl@hk{?GasUf31VhF zZHaGeWA}7%In%vblNCJwG&t+Yt*ThgOU+=ApqY#2p}QRkrg1Xk7h17FXQrD*m-Re9 zj@4^G%bY9|We|-B#e2-E7N*+ha<#K?W@JX&U64<8l~h&ko*aMsatuZ(N_`&IpkmXiLJ$JqsmWk%N};nk&3qDO7^h2Y_%Z2I*t$y$>- z{W_`jfzQQ3Kz$HM&<#V{_-wB@i?pZG#q6bWh&aQ2Hhl8O3SrXkFlF4khvm|>^;nAXlosA$^dggR5 z=le9$Gk(*JFK7I_9dM9l}S8r0sBqNucNSgap2pRpFB0kB*CQd{%M0R78YrhjiI*$UawXqVs=A7Cm=eQ(PRa9|}EVZKKV{mj+tx zC*OPCG8PHf9mGa|)n5^h>J4x8my2vy4@iJ;UvAbe2l2l>3FA3=sn&XwVfDBYDEvXl zc|x?YZ6nGSq0f!>Dt@7)Q+If@D8eiTY`=~o+H&mlinPuJ;W7MJDoyQUFET{?>lTv>yvaKaWK)dW|wBg4jBU`}~mg zz9Qm?b6U!fL~g;-*cSL5CC|K8TYf>FuPz3@9Kxp=j<_vz+~m%u;?u*T(OtTy61vfk zGfplCI4ag(J>h%r@pT_j2rW4c;F`lb2W*V_dSV~+-W=1FxDydwxb17iTe0A~lfe-| z1Z)jMFW=m9Zys)=5%%12X$^UVp!QX(8W&Ogi8jEr)G~geRYsFMovd>Fi}!O{q2Z?? 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