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Qualitative Analysis of Nonsmooth Dynamics

A Simple Discrete System with Unilateral Contact and Coulomb Friction

Alain Léger author Elaine Pratt author

Format:Hardback

Publisher:ISTE Press Ltd - Elsevier Inc

Published:4th Apr '16

Currently unavailable, and unfortunately no date known when it will be back

Qualitative Analysis of Nonsmooth Dynamics cover

A vital companion for those seeking to understand the dynamics of mechanical systems involving non-regularized contact and friction, this book explores the effects of small and large deformations to understand how shocks, sliding, and stick phases affect the trajectories of mechanical systems

Qualitative Analysis of Nonsmooth Dynamics: A Simple Discrete System with Unilateral Contact and Coulomb Friction explores the effects of small and large deformations to understand how shocks, sliding, and stick phases affect the trajectories of mechanical systems. By analyzing these non-regularities successively this work explores the set of equilibria and properties of periodic solutions of elementary mechanical systems, where no classical results issued from the theory of ordinary differential equations are readily available, such as stability, continuation or approximation of solutions. The authors focus on unilateral contact in presence of Coulomb friction and show, in particular, how any regularization would greatly simplify the mathematics but lead to unacceptable physical responses.

"The book is likely to be of greatest interest and use to researchers and graduate students working with friction related problems. Indeed, the clarity of the writing is likely to provide inspiration for students and researchers to take the state-of-the-art of the subject matter even further." --Zentralblatt MATH

ISBN: 9781785480942

Dimensions: unknown

Weight: 360g

222 pages