Non-smooth Deterministic or Stochastic Discrete Dynamical Systems

• Publisher: Wiley-ISTE
• Year: 2013
• Tongue: English
• Leaves: 506
• Category: Library

✦ Synopsis

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.

Content:
Chapter 1 Some Simple Examples (pages 1–26): Jerome Bastien, Frederic Bernardin, Claude?Henri Lamarque and Noel Challamel
Chapter 2 Theoretical Deterministic Context (pages 27–78): Jerome Bastien, Frederic Bernardin, Claude?Henri Lamarque and Noel Challamel
Chapter 3 Stochastic Theoretical Context (pages 79–128): Jerome Bastien, Frederic Bernardin, Claude?Henri Lamarque and Noel Challamel
Chapter 4 Riemannian Theoretical Context (pages 129–154): Jerome Bastien, Frederic Bernardin, Claude?Henri Lamarque and Noel Challamel
Chapter 5 Systems with Friction (pages 155–324): Jerome Bastien, Frederic Bernardin, Claude?Henri Lamarque and Noel Challamel
Chapter 6 Impact Systems (pages 325–354): Jerome Bastien, Frederic Bernardin, Claude?Henri Lamarque and Noel Challamel
Chapter 7 Applications–Extensions (pages 355–430): Jerome Bastien, Frederic Bernardin, Claude?Henri Lamarque and Noel Challamel