Lecture Notes in Applied and Computational Mechanics

Numerical Methods for Nonsmooth Dynamical Systems

Applications in Mechanics and Electronics

Authors: Acary, Vincent, Brogliato, Bernard

  • Provides a complete exposition of the algorithms, with numerous examples and benchmarks, and an emphasis on the implementation of the schemes with different complementarity problems solvers
  • A sort of advanced users' manual, that PhD students or senior researchers who want to get acquainted with this field and make numerical simulations on their computer, can use as a source of information
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eBook $269.00
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  • ISBN 978-3-540-75392-6
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Hardcover $339.00
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  • ISBN 978-3-540-75391-9
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  • Usually dispatched within 3 to 5 business days.
Softcover $339.00
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  • ISBN 978-3-642-09464-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

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 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.

Reviews

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 main concern is the discussion of the construction of algorithms and their properties … . written in a formal mathematical style with precise definitions, followed by results stated as Lemma, Proposition, or Theorem (and references to the literature for the proofs). This makes the overall work accessible for both, researchers in mechanics and in mathematics." (Christian Wieners, Zentralblatt für Angewandte Mathemtik und Mechanik, Vol. 88 (7), 2008)

“The present book is a research monograph with numerous information and references to original publications which gives to the book an encyclopaedic nature. … parallel presentation of nonsmooth models in mechanics and electronics indicates that the mentioned effects will also be of interest for people working in mechatronics, microelectromechanics and multiphysics. The book is intended for graduate students and scientists doing research and development in mechanics and electrical engineering, designers of modern electromechanical devices, as well as to researchers from other scientific communities … .” (Georgios E. Stavroulakis, Zentralblatt MATH, Vol. 1173, 2009)


Table of contents (14 chapters)

  • Nonsmooth Dynamical Systems: Motivating Examples and Basic Concepts

    Acary, Vincent (et al.)

    Pages 1-54

  • Nonsmooth Dynamical Systems: A Short Zoology

    Acary, Vincent (et al.)

    Pages 57-105

  • Mechanical Systems with Unilateral Constraints and Friction

    Acary, Vincent (et al.)

    Pages 107-163

  • Complementarity Systems

    Acary, Vincent (et al.)

    Pages 165-176

  • Higher Order Constrained Dynamical Systems

    Acary, Vincent (et al.)

    Pages 177-188

Buy this book

eBook $269.00
price for USA (gross)
  • ISBN 978-3-540-75392-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $339.00
price for USA
  • ISBN 978-3-540-75391-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $339.00
price for USA
  • ISBN 978-3-642-09464-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Numerical Methods for Nonsmooth Dynamical Systems
Book Subtitle
Applications in Mechanics and Electronics
Authors
Series Title
Lecture Notes in Applied and Computational Mechanics
Series Volume
35
Copyright
2008
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-75392-6
DOI
10.1007/978-3-540-75392-6
Hardcover ISBN
978-3-540-75391-9
Softcover ISBN
978-3-642-09464-4
Series ISSN
1613-7736
Edition Number
1
Number of Pages
XXI, 525
Topics