Impacts in Mechanical Systems: Analysis and Modelling

✍ Scribed by Markus Kunze, Manuel D.P. Monteiro Marques (auth.), Bernard Brogliato (eds.)

• Publisher: Springer-Verlag Berlin Heidelberg
• Year: 2000
• Tongue: English
• Leaves: 272
• Series: Lecture Notes in Physics 551
• Edition: 1
• Category: Library

✦ Synopsis

This volume constitutes an advanced introduction to the field of analysis, modeling and numerical simulation of rigid body mechanical systems with unilateral constraints. The topics include Moreau's sweeping process, the numerical analysis of nonsmooth multibody systems with friction, the study of energetical restitution coefficients for elasto-plastic models, the study of stability and bifurcation in systems with impacts, and the development of a multiple impact rule for Newton's cradle and the simple rocking model. Combining pedagogical aspects with innovative approaches, this book will not only be of interest to researchers working actively in the field, but also to graduate students wishing to get acquainted with this field of research through lectures written at a level also accessible to nonspecialists.

✦ Table of Contents

An Introduction to Moreau’s Sweeping Process....Pages 1-60
Dynamic Simulation of Rigid Bodies: Modelling of Frictional Contact....Pages 61-144
Stability of Periodic Motions with Impacts....Pages 145-187
Contact Problems for Elasto-Plastic Impact in Multi-Body Systems....Pages 189-234
Impulse Correlation Ratio in Solving Multiple Impact Problems....Pages 235-273

✦ Subjects

Mechanics; Applications of Mathematics; Theoretical and Applied Mechanics