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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
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: 1. Nonsmooth Dynamical Systems: Motivating Examples and Basic Concepts --
Pt. I. Formulations of Nonsmooth Dynamical Systems --
2. Nonsmooth Dynamical Systems: A Short Zoology --
3. Mechanical Systems with Unilateral Constraints and Friction --
4. Complementarity Systems --
5. Higher Order Constrained Dynamical Systems --
6. Specific Features of Nonsmooth Dynamical Systems --
Pt. II. Time Integration of Nonsmooth Dynamical Systems --
7. Event-Driven Schemes for Inclusions with AC Solutions --
8. Event-Driven Schemes for Lagrangian Systems --
9. Time-Stepping Schemes for Systems with AC Solutions --
10. Time-Stepping Schemes for Mechanical Systems --
11. Time-Stepping Scheme for the HOSP --
Pt. III. Numerical Methods for the One-Step Nonsmooth Problems --
12. Basics on Mathematical Programming Theory --
13. Numerical Methods for the Frictional Contact Problem --
Pt. IV. The SICONOS Software: Implementation and Examples --
14. The SICONOS Platform --
A. Convex, Nonsmooth, and Set-Valued Analysis --
B. Some Results of Complementarity Theory --
C. Some Facts in Real Analysis.
Series Title: Lecture notes in applied and computational mechanics, v. 35.
Responsibility: Vincent Acary, Bernard Brogliato.

Abstract:

This book concerns the numerical simulation of dynamical systems whose trajec- ries may not be differentiable everywhere. Usually nonsmooth dynamical systems are represented as differential  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 the Read more...

 
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   schema:reviewBody ""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 differential inclusions, complementarity systems, evolution variational inequalities, each of these classes being itself split into several subclasses." "With detailed examples of multibody systems with contact, impact and friction and electrical circuits with piecewise linear and ideal components, the book is mainly intended for researchers in Mechanics and Electrical Engineering, but it will be attractive to researchers from other scientific communities like Systems and Control, Robotics, Physics of Granular Media, Civil Engineering, Virtual Reality, Haptic Systems, Computer Graphics, etc."--Jacket." ;
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