Non Smooth Deterministic Or Stochastic Discrete Dynamical Systems: Applications to Models with Friction or Impact

Name: Non Smooth Deterministic Or Stochastic Discrete Dynamical Systems: Applications to Models with Friction or Impact
Brand: Wiley
SKU: 9781848215252
Price: 14879.0 INR
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by Jerome Bastien , Frederic Bernardin , Claude-Henri Lamarque

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ISBN13: 9781848215252
Binding: Hardcover
Subject: Engineering
Publisher: Wiley
Publisher Imprint: Wiley-Blac
Publication Date: January 1, 2013
Pages: 512
Original Price: USD 236.95
Language: English
Edition: N/A
Item Weight: 885 grams
BISAC Subject(s): Numerical Analysis and Engineering (General)

About The Book

This book contains theoretical and application-oriented methods to treat models of dynamical systems involving non-smooth nonlinearities.
The theoretical approach that has been retained and underlined in this work is associated with differential inclusions of mainly finite dimensional dynamical systems and the introduction of maximal monotone operators (graphs) in order to describe models of impact or friction. The authors of this book master the mathematical, numerical and modeling tools in a particular way so that they can propose all aspects of the approach, in both a deterministic and stochastic context, in order to describe real stresses exerted on physical systems. Such tools are very powerful for providing reference numerical approximations of the models. Such an approach is still not very popular nevertheless, even though it could be very useful for many models of numerous fields (e.g. mechanics, vibrations, etc.).
This book is especially suited for people both in research and industry interested in the modeling and numerical simulation of discrete mechanical systems with friction or impact phenomena occurring in the presence of classical (linear elastic) or non-classical constitutive laws (delay, memory effects, etc.). It aims to close the gap between highly specialized mathematical literature and engineering applications, as well as to also give tools in the framework of non-smooth stochastic differential systems: thus, applications involving stochastic excitations (earthquakes, road surfaces, wind models etc.) are considered.

Contents

1. Some Simple Examples.
2. Theoretical Deterministic Context.
3. Stochastic Theoretical Context.
4. Riemannian Theoretical Context.
5. Systems with Friction.
6. Impact Systems.
7. Applications-Extensions.

About the Authors

JÃ©rÃ´me Bastien is Assistant Professor at the University Lyon 1 (Centre de recherche et d'Innovation sur le sport) in France.
FrÃ©dÃ©ric Bernardin is a Research Engineer at DÃ©partement Laboratoire de Clermont-Ferrand (DLCF), Centre d'Etudes Techniques de l'Equipement (CETE), Lyon, France.
Claude-Henri Lamarque is Head of Laboratoire GÃ©omatÃ©riaux et GÃ©nie Civil (LGCB) and Professor at Ecole des Travaux Publics de l'Etat (ENTPE), Vaulx-en-Velin, France.

About The Author

Claude-Henri LAMARQUE, Head of LGCB, Professor ENTPE, Vaulx-en-Velin, France.

Jérôme BASTINE, Assistant Professor at the University Lyon 1, Lyon, France.

Frédéric BERNARDIN, Research Engineer at CETE de Lyon (DLCF), Lyon, France.

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