stewart-simscape/kinematic-study.org

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#+TITLE: Kinematic Study of the Stewart Platform
:DRAWER:
#+STARTUP: overview
#+HTML_HEAD: <link rel="stylesheet" type="text/css" href="css/htmlize.css"/>
#+HTML_HEAD: <link rel="stylesheet" type="text/css" href="css/readtheorg.css"/>
#+HTML_HEAD: <script src="js/jquery.min.js"></script>
#+HTML_HEAD: <script src="js/bootstrap.min.js"></script>
#+HTML_HEAD: <script type="text/javascript" src="js/jquery.stickytableheaders.min.js"></script>
#+HTML_HEAD: <script type="text/javascript" src="js/readtheorg.js"></script>
#+LATEX_CLASS: cleanreport
#+LaTeX_CLASS_OPTIONS: [tocnp, secbreak, minted]
#+LaTeX_HEADER: \usepackage{svg}
#+LaTeX_HEADER: \newcommand{\authorFirstName}{Thomas}
#+LaTeX_HEADER: \newcommand{\authorLastName}{Dehaeze}
#+LaTeX_HEADER: \newcommand{\authorEmail}{dehaeze.thomas@gmail.com}
#+PROPERTY: header-args:matlab :session *MATLAB*
#+PROPERTY: header-args:matlab+ :comments org
#+PROPERTY: header-args:matlab+ :exports both
#+PROPERTY: header-args:matlab+ :eval no-export
#+PROPERTY: header-args:matlab+ :output-dir figs
#+PROPERTY: header-args:matlab+ :mkdirp yes
:END:
* Functions
:PROPERTIES:
:HEADER-ARGS:matlab+: :exports code
:HEADER-ARGS:matlab+: :comments no
:HEADER-ARGS:matlab+: :mkdir yes
:HEADER-ARGS:matlab+: :eval no
:END:
** getMaxPositions
:PROPERTIES:
:HEADER-ARGS:matlab+: :tangle src/getMaxPositions.m
:END:
#+begin_src matlab
function [X, Y, Z] = getMaxPositions(stewart)
Leg = stewart.Leg;
J = stewart.J;
theta = linspace(0, 2*pi, 100);
phi = linspace(-pi/2 , pi/2, 100);
dmax = zeros(length(theta), length(phi));
for i = 1:length(theta)
for j = 1:length(phi)
L = J*[cos(phi(j))*cos(theta(i)) cos(phi(j))*sin(theta(i)) sin(phi(j)) 0 0 0]';
dmax(i, j) = Leg.stroke/max(abs(L));
end
end
X = dmax.*cos(repmat(phi,length(theta),1)).*cos(repmat(theta,length(phi),1))';
Y = dmax.*cos(repmat(phi,length(theta),1)).*sin(repmat(theta,length(phi),1))';
Z = dmax.*sin(repmat(phi,length(theta),1));
end
#+end_src
** getMaxPureDisplacement
:PROPERTIES:
:HEADER-ARGS:matlab+: :tangle src/getMaxPureDisplacement.m
:END:
#+begin_src matlab
function [max_disp] = getMaxPureDisplacement(Leg, J)
max_disp = zeros(6, 1);
max_disp(1) = Leg.stroke/max(abs(J*[1 0 0 0 0 0]'));
max_disp(2) = Leg.stroke/max(abs(J*[0 1 0 0 0 0]'));
max_disp(3) = Leg.stroke/max(abs(J*[0 0 1 0 0 0]'));
max_disp(4) = Leg.stroke/max(abs(J*[0 0 0 1 0 0]'));
max_disp(5) = Leg.stroke/max(abs(J*[0 0 0 0 1 0]'));
max_disp(6) = Leg.stroke/max(abs(J*[0 0 0 0 0 1]'));
end
#+end_src