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Numerical methods for nonsmooth dynamical systems : applications in mechanics and electronics

Author: Vincent Acary; Bernard Brogliato
Publisher: Berlin : Springer, ©2008.
Series: Lecture notes in applied and computational mechanics, v. 35.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:
"This book concerns the numerical simulation of dynamical systems whose trajectories may not be differentiable everywhere. They are named nonsmooth dynamical systems. They make an important class of systems, firstly because of the many applications in which nonsmooth models are useful, secondly because they give rise to new problems in various fields of science. Usually nonsmooth dynamical systems are represented as  Read more...
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Document Type: Book
All Authors / Contributors: Vincent Acary; Bernard Brogliato
ISBN: 3540753915 9783540753919 3642094643 9783642094644
OCLC Number: 175285106
Description: ix, 525 pages : illustrations ; 24 cm.
Contents: Nonsmooth Dynamical Systems: Motivating Examples and Basic Concepts.- Nonsmooth Dynamical Systems: Motivating Examples and Basic Concepts.- Formulations of Nonsmooth Dynamical Systems.- Nonsmooth Dynamical Systems: A Short Zoology.- Mechanical Systems with Unilateral Constraints and Friction.- Complementarity Systems.- Higher Order Constrained Dynamical Systems.- Specific Features of Nonsmooth Dynamical Systems.- Time Integration of Nonsmooth Dynamical Systems.- Event-Driven Schemes for Inclusions with AC Solutions.- Event-Driven Schemes for Lagrangian Systems.- Time-Stepping Schemes for Systems with AC Solutions.- Time-Stepping Schemes for Mechanical Systems.- Time-Stepping Scheme for the HOSP.- Numerical Methods for the One-Step Nonsmooth Problems.- Basics on Mathematical Programming Theory.- Numerical Methods for the Frictional Contact Problem.- The SICONOS Software: Implementation and Examples.- The SICONOS Platform.
Series Title: Lecture notes in applied and computational mechanics, v. 35.
Responsibility: Vincent Acary, Bernard Brogliato.
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Abstract:

Concerns the numerical simulation of dynamical systems whose trajectories may not be differentiable everywhere. This book contains examples of multibody systems with contact, impact and friction and  Read more...

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From the reviews: "This monograph is a valuable and concise contribution to the numerics of nonsmooth ODEs ... . It is clearly designed for engineering applications in computational mechanics, and Read more...

 
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