Qualitative analysis of nonsmooth dynamics: a simple discrete system with unilateral contact and Coulomb friction

by Léger, A., (Alain)

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Title Statements

Full title :Qualitative analysis of nonsmooth dynamics : a simple discrete system with unilateral contact and Coulomb friction / Alain Léger, Elaine Pratt.

Edition Statements

Publication Date:2016.

Publication Statements

Publisher(s):Elsevier, ISTE Press Ltd
Place of Publication:London, UK
Language:eng
Publication Date:2016.

The Physical Object

Description:1 online resource

Edition Identifiers

ISBN:9780081012017, 0081012012
oclc:ocn948296974
LC Classification:QA808
Dewey Decimal:620.1

Front Cover -- Qualitative Analysis of Nonsmooth Dynamics: A Simple Discrete System with Unilateral Contact and Coulomb Friction -- Copyright -- Contents -- Preface -- Introduction -- The Mechanics of Unilateral Systems -- Chapter 1: The Model -- 1.1. About contact and friction conditions: nonsmooth nonlinearities -- 1.2. A class of discrete systems -- 1.3. Study of the restoring force -- 1.4. The dynamical problem -- Chapter 2: Mathematical Formulation -- 2.1. The complete mathematical statement -- 2.2. Computational methods -- Chapter 3: The Equilibrium States -- 3.1. In the linearized case -- 3.2. Equilibria at large strains -- Chapter 4: Stability -- 4.1. Stability of the equilibrium states in the classical sense -- 4.2. Introducing a new notion of stability -- 4.3. Analysis of simple models -- 4.4. A slightly more complicated mass-spring system -- 4.5. Numerical experiments on a finite element discretization of an elastic body -- Chapter 5: Exploring the Case of the Linear Restoring Force -- 5.1. Equilibrium states in the {Rt, Rn} plane under an oscillating loading -- 5.2. When no equilibrium solutions exist -- 5.3. When a single equilibrium solution exists -- 5.4. When infin…

Subjects

Differential equations, Nonlinear Équations différentielles non linéaires Mécanique non linéaire Nonlinear mechanics Qualitative research Recherche qualitative TECHNOLOGY & ENGINEERING -- Engineering… TECHNOLOGY & ENGINEERING -- Reference