Synopses & Reviews
This book is especially suited for people both in research and industry who are interested in the numerical simulation of mechanical systems with unilateral contacts and friction. Such systems can be found in various fields of technical application; consider for example contacts between wheels and ground in vehicle dynamics, walking machines, limit stops and friction in arbitrary kind of mechanisms or contacts between thousands of grains in granular mechanics. The book focuses mainly on rigid multibody systems dynamics with unilateral contacts and friction, however, the proposed non-smooth modeling approach is much more general and also well suited for non-rigid applications. Four main topics are addressed: Non-smooth modeling of unilateral contacts and friction by set valued force laws, Mathematical evaluation of these laws using normal cone inclusions with associated projective equations, Numerical time-stepping integration methods for non-smooth systems, Implementation in a software code. The book closes the gap between highly specialized mathematical literature and engineering application, gives an excellent overview on well established methods in non-smooth mechanics and opens new perspectives for the future development in this promising field of active research.
Review
From the reviews: "The present book is a continuation of results of smooth mechanics to non-smooth mechanics, introduced by Jean Jacques Moreau in the late 1980's. ... The motivation for writing this book is to bring numerical time integrators for the dynamics of non-smooth mechanics. The aim of the author is to close the gap between mathematical theories in non-smooth mechanics and their applications in practice and corresponding software codes. ... the book under review represents the interesting contribution to the practical computational mechanics." (Jiří Nedoma, Mathematical Reviews, Issue 2011 j)
Synopsis
This book covers the numerical simulation of mechanical systems with unilateral contacts and friction. It gives an excellent overview on well established methods in non-smooth mechanics and opens new perspectives for development in this promising field.
Table of Contents
Introduction.- Mathematical Preliminaries.- Non-Smooth Mechanics.- Inclusion Problems.- Time-Stepping.- Augmented Time-Stepping.- The dynamY Software.- Summary.