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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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Read the articleAUTHOR
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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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Maple and the mechanics of multibody systems – Part 2
Geometry of masses. Mass. Center and tensor of inertia
Bibliography
References
Published by TI Dans les Techniques de l'Ingénieur Base documentaire " Physique-Chimie ".
Websites
There are many sites devoted to Maple. It's easy to find examples and even courses.
Unfortunately, many of these sites are built using older versions of the software.
On the Maplesolf website http://www.maplesoft.com/applications/ you'll find examples of how the software is used...
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