Add sample on top of hexapod. Add function to initialize hexapod.
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35
src/getPlantCart.m
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35
src/getPlantCart.m
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function [G_cart, G_cart_raw] = getPlantCart()
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%% Default values for opts
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opts = struct('f_low', 1,...
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'f_high', 10000 ...
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);
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%% Populate opts with input parameters
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if exist('opts_param','var')
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for opt = fieldnames(opts_param)'
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opts.(opt{1}) = opts_param.(opt{1});
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end
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end
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%% Options for Linearized
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options = linearizeOptions;
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options.SampleTime = 0;
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%% Name of the Simulink File
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mdl = 'stewart_simscape';
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%% Centralized control (Cartesian coordinates)
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% Input/Output definition
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io(1) = linio([mdl, '/F_cart'],1,'input');
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io(2) = linio([mdl, '/Stewart_Platform'],1,'output');
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% Run the linearization
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G_cart_raw = linearize(mdl,io, 0);
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G_cart = preprocessIdTf(G_cart_raw, opts.f_low, opts.f_high);
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% Input/Output names
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G_cart.InputName = {'Fx', 'Fy', 'Fz', 'Mx', 'My', 'Mz'};
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G_cart.OutputName = {'Dx', 'Dy', 'Dz', 'Rx', 'Ry', 'Rz'};
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end
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92
src/initializeMicroHexapod.m
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92
src/initializeMicroHexapod.m
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function [stewart] = initializeMicroHexapod()
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%% Stewart Object
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stewart = struct();
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stewart.h = 350; % Total height of the platform [mm]
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stewart.jacobian = 435; % Point where the Jacobian is computed => Center of rotation [mm]
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%% Bottom Plate
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BP = struct();
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BP.rad.int = 110; % Internal Radius [mm]
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BP.rad.ext = 207.5; % External Radius [mm]
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BP.thickness = 26; % Thickness [mm]
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BP.leg.rad = 175.5; % Radius where the legs articulations are positionned [mm]
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BP.leg.ang = 9.5; % Angle Offset [deg]
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BP.density = 8000; % Density of the material [kg/m^3]
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BP.color = [0.6 0.6 0.6]; % Color [rgb]
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BP.shape = [BP.rad.int BP.thickness; BP.rad.int 0; BP.rad.ext 0; BP.rad.ext BP.thickness];
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%% Top Plate
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TP = struct();
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TP.rad.int = 82; % Internal Radius [mm]
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TP.rad.ext = 150; % Internal Radius [mm]
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TP.thickness = 26; % Thickness [mm]
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TP.leg.rad = 118; % Radius where the legs articulations are positionned [mm]
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TP.leg.ang = 12.1; % Angle Offset [deg]
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TP.density = 8000; % Density of the material [kg/m^3]
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TP.color = [0.6 0.6 0.6]; % Color [rgb]
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TP.shape = [TP.rad.int TP.thickness; TP.rad.int 0; TP.rad.ext 0; TP.rad.ext TP.thickness];
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%% Leg
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Leg = struct();
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Leg.stroke = 10e-3; % Maximum Stroke of each leg [m]
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Leg.k.ax = 5e7; % Stiffness of each leg [N/m]
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Leg.ksi.ax = 3; % Maximum amplification at resonance []
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Leg.rad.bottom = 25; % Radius of the cylinder of the bottom part [mm]
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Leg.rad.top = 17; % Radius of the cylinder of the top part [mm]
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Leg.density = 8000; % Density of the material [kg/m^3]
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Leg.color.bottom = [0.5 0.5 0.5]; % Color [rgb]
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Leg.color.top = [0.5 0.5 0.5]; % Color [rgb]
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Leg.sphere.bottom = Leg.rad.bottom; % Size of the sphere at the end of the leg [mm]
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Leg.sphere.top = Leg.rad.top; % Size of the sphere at the end of the leg [mm]
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Leg.m = TP.density*((pi*(TP.rad.ext/1000)^2)*(TP.thickness/1000)-(pi*(TP.rad.int/1000^2))*(TP.thickness/1000))/6; % TODO [kg]
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Leg = updateDamping(Leg);
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%% Sphere
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SP = struct();
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SP.height.bottom = 27; % [mm]
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SP.height.top = 27; % [mm]
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SP.density.bottom = 8000; % [kg/m^3]
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SP.density.top = 8000; % [kg/m^3]
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SP.color.bottom = [0.6 0.6 0.6]; % [rgb]
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SP.color.top = [0.6 0.6 0.6]; % [rgb]
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SP.k.ax = 0; % [N*m/deg]
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SP.ksi.ax = 10;
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SP.thickness.bottom = SP.height.bottom-Leg.sphere.bottom; % [mm]
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SP.thickness.top = SP.height.top-Leg.sphere.top; % [mm]
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SP.rad.bottom = Leg.sphere.bottom; % [mm]
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SP.rad.top = Leg.sphere.top; % [mm]
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SP.m = SP.density.bottom*2*pi*((SP.rad.bottom*1e-3)^2)*(SP.height.bottom*1e-3); % TODO [kg]
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SP = updateDamping(SP);
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%%
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Leg.support.bottom = [0 SP.thickness.bottom; 0 0; SP.rad.bottom 0; SP.rad.bottom SP.height.bottom];
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Leg.support.top = [0 SP.thickness.top; 0 0; SP.rad.top 0; SP.rad.top SP.height.top];
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%%
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stewart.BP = BP;
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stewart.TP = TP;
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stewart.Leg = Leg;
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stewart.SP = SP;
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%%
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stewart = initializeParameters(stewart);
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%%
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save('./mat/hexapod.mat', 'stewart');
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%%
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function element = updateDamping(element)
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field = fieldnames(element.k);
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for i = 1:length(field)
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element.c.(field{i}) = 1/element.ksi.(field{i})*sqrt(element.k.(field{i})/element.m);
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end
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end
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end
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93
src/initializeNanoHexapod.m
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93
src/initializeNanoHexapod.m
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function [stewart] = initializeNanoHexapod()
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%% Stewart Object
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stewart = struct();
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stewart.h = 90; % Total height of the platform [mm]
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stewart.jacobian = 174.5; % Point where the Jacobian is computed => Center of rotation [mm]
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%% Bottom Plate
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BP = struct();
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BP.rad.int = 0; % Internal Radius [mm]
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BP.rad.ext = 150; % External Radius [mm]
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BP.thickness = 10; % Thickness [mm]
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BP.leg.rad = 100; % Radius where the legs articulations are positionned [mm]
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BP.leg.ang = 5; % Angle Offset [deg]
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BP.density = 8000;% Density of the material [kg/m^3]
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BP.color = [0.7 0.7 0.7]; % Color [rgb]
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BP.shape = [BP.rad.int BP.thickness; BP.rad.int 0; BP.rad.ext 0; BP.rad.ext BP.thickness];
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%% Top Plate
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TP = struct();
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TP.rad.int = 0; % Internal Radius [mm]
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TP.rad.ext = 100; % Internal Radius [mm]
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TP.thickness = 10; % Thickness [mm]
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TP.leg.rad = 90; % Radius where the legs articulations are positionned [mm]
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TP.leg.ang = 5; % Angle Offset [deg]
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TP.density = 8000;% Density of the material [kg/m^3]
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TP.color = [0.7 0.7 0.7]; % Color [rgb]
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TP.shape = [TP.rad.int TP.thickness; TP.rad.int 0; TP.rad.ext 0; TP.rad.ext TP.thickness];
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%% Leg
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Leg = struct();
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Leg.stroke = 80e-6; % Maximum Stroke of each leg [m]
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Leg.k.ax = 5e7; % Stiffness of each leg [N/m]
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Leg.ksi.ax = 10; % Maximum amplification at resonance []
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Leg.rad.bottom = 12; % Radius of the cylinder of the bottom part [mm]
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Leg.rad.top = 10; % Radius of the cylinder of the top part [mm]
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Leg.density = 8000; % Density of the material [kg/m^3]
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Leg.color.bottom = [0.5 0.5 0.5]; % Color [rgb]
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Leg.color.top = [0.5 0.5 0.5]; % Color [rgb]
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Leg.sphere.bottom = Leg.rad.bottom; % Size of the sphere at the end of the leg [mm]
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Leg.sphere.top = Leg.rad.top; % Size of the sphere at the end of the leg [mm]
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Leg.m = TP.density*((pi*(TP.rad.ext/1000)^2)*(TP.thickness/1000)-(pi*(TP.rad.int/1000^2))*(TP.thickness/1000))/6; % TODO [kg]
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Leg = updateDamping(Leg);
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%% Sphere
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SP = struct();
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SP.height.bottom = 15; % [mm]
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SP.height.top = 15; % [mm]
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SP.density.bottom = 8000; % [kg/m^3]
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SP.density.top = 8000; % [kg/m^3]
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SP.color.bottom = [0.7 0.7 0.7]; % [rgb]
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SP.color.top = [0.7 0.7 0.7]; % [rgb]
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SP.k.ax = 0; % [N*m/deg]
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SP.ksi.ax = 3;
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SP.thickness.bottom = SP.height.bottom-Leg.sphere.bottom; % [mm]
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SP.thickness.top = SP.height.top-Leg.sphere.top; % [mm]
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SP.rad.bottom = Leg.sphere.bottom; % [mm]
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SP.rad.top = Leg.sphere.top; % [mm]
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SP.m = SP.density.bottom*2*pi*((SP.rad.bottom*1e-3)^2)*(SP.height.bottom*1e-3); % TODO [kg]
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SP = updateDamping(SP);
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%%
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Leg.support.bottom = [0 SP.thickness.bottom; 0 0; SP.rad.bottom 0; SP.rad.bottom SP.height.bottom];
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Leg.support.top = [0 SP.thickness.top; 0 0; SP.rad.top 0; SP.rad.top SP.height.top];
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%%
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stewart.BP = BP;
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stewart.TP = TP;
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stewart.Leg = Leg;
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stewart.SP = SP;
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%%
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stewart = initializeParameters(stewart);
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%%
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save('./mat/stewart.mat', 'stewart')
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%%
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function element = updateDamping(element)
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field = fieldnames(element.k);
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for i = 1:length(field)
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element.c.(field{i}) = 1/element.ksi.(field{i})*sqrt(element.k.(field{i})/element.m);
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end
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end
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end
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19
src/initializeSample.m
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19
src/initializeSample.m
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function [] = initializeSample(opts_param)
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%% Default values for opts
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sample = struct('radius', 100,...
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'height', 300,...
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'mass', 50,...
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'offset', 0,...
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'color', [0.9 0.1 0.1] ...
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);
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%% Populate opts with input parameters
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if exist('opts_param','var')
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for opt = fieldnames(opts_param)'
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sample.(opt{1}) = opts_param.(opt{1});
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end
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end
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%% Save
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save('./mat/sample.mat', 'sample');
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end
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