Maple and the mechanics of multibody systems - Part 2
Article REF: AF5061 V1

Maple and the mechanics of multibody systems - Part 2

Author : Philippe LONJOU

Publication date: July 10, 2008 | Lire en français

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Overview

ABSTRACT

A large number of domains in mechanics, design, robotics, continuous media mechanics... benefit considerably from formal calculation tools such as Maple. This article starts by detailing how these new tools, capable of conducting successfully tedious calculations, allow for solving integration issues linked to the determination of the inertial properties of solids . The example of the Euler pendulum and that of rolling without the slip of a wheel serve to illustrate the Lagrange equations. The generation and resolution of the differential systems of mechanics and of movement close to equilibrium.

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AUTHOR

  • Philippe LONJOU: Associate Professor of Mechanics Institut national des sciences appliquées (INSA) de Lyon

 INTRODUCTION

The first part of this dossier gave us a glimpse of the possibilities offered by formal calculation software. The second part will enable us, firstly, to solve integration calculation problems linked to the determination of the inertial characteristics of solids, but above all, secondly, to generate and solve systems of differential equations.

These differential equations will enable us to obtain the laws of motion of the mechanisms under study.

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