(* Content-type: application/vnd.wolfram.mathematica *) (*** Wolfram Notebook File ***) (* http://www.wolfram.com/nb *) (* CreatedBy='Mathematica 8.0' *) (*CacheID: 234*) (* Internal cache information: NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 157, 7] NotebookDataLength[ 36837260, 600727] NotebookOptionsPosition[ 36817396, 600225] NotebookOutlinePosition[ 36828759, 600484] CellTagsIndexPosition[ 36827290, 600449] WindowFrame->Normal*) (* Beginning of Notebook Content *) Notebook[{ Cell[CellGroupData[{ Cell["Modeling and Symbolic Computation", "Title", CellChangeTimes->{3.566799123878434*^9}], Cell["\<\ Master 1 International in Computer Science - Introduction to Research 1 Introduction to Robotics : Wire-driven parallel robot\ \>", "Subtitle", CellChangeTimes->{{3.566799134798671*^9, 3.566799137388214*^9}, { 3.5667992479975567`*^9, 3.566799339721386*^9}}], Cell["Yves Papegay - INRIA / COPRIN - January 2013, Monday 14.", "Subsubtitle", CellChangeTimes->{{3.566799134798671*^9, 3.566799137388214*^9}, { 3.5667992479975567`*^9, 3.5667993122372828`*^9}, {3.566799350842415*^9, 3.566799421465876*^9}}], Cell["\<\ Modeling a (robotic) system is the first and mandatory step to achieve \ whenever one is interested in the mechanical or dynamical behaviours of such \ system. Defining the pertinent physical entities, selecting a formalism to attach \ variables to them, then writing equations expressing the physical laws \ produce a first kind of symbolic model. It then has to be made explicit using numerical schemes or symbolic solvers \ to become useful for simulation and visualization of results. All these activities will be explained and demonstrated in the particular and \ practical case of a 3RPR parallel robot. \ \>", "Text", CellChangeTimes->{{3.566801602413248*^9, 3.566801635671521*^9}}], Cell[CellGroupData[{ Cell["Modeling and Simulation Process", "Section", CellChangeTimes->{{3.566801215844076*^9, 3.566801223353982*^9}}], Cell[TextData[{ "Goal of this process is ", StyleBox["understanding", FontWeight->"Bold"], " and ", StyleBox["predicting", FontWeight->"Bold"], " some behaviors of a physical system." }], "Text", CellChangeTimes->{{3.56680167076416*^9, 3.566801690163807*^9}, { 3.566810182453429*^9, 3.5668102080167093`*^9}}], Cell[CellGroupData[{ Cell["Needs", "Subsection", CellChangeTimes->{{3.566801270136148*^9, 3.56680127094363*^9}}], Cell[TextData[{ "Modeling and simulation process is particularly useful for ", StyleBox["replacing experiments", FontWeight->"Bold"], ", namely whenever experimental conditions are difficult to obtain, very \ costly, ore not yet 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