Overview
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.
Full Product Details
Author: Vincent Acary ,
Bernard Brogliato
Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition: 1st ed. Softcover of orig. ed. 2008
Volume: 35
Dimensions:
Width: 15.50cm
, Height: 2.80cm
, Length: 23.50cm
Weight: 0.831kg
ISBN: 9783642094644
ISBN 10: 3642094643
Pages: 525
Publication Date: 22 November 2010
Audience:
Professional and scholarly
,
Professional & Vocational
,
Postgraduate, Research & Scholarly
Format: Paperback
Publisher's Status: Active
Availability: Out of print, replaced by POD
We will order this item for you from a manufatured on demand supplier.
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 fur 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)
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 fur 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)
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 fur 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)
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 fur Angewandte Mathemtik und Mechanik, Vol. 88 (7), 2008)
