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Qualitative analysis of nonsmooth dy...

Léger, A. (1943-)

Qualitative analysis of nonsmooth dynamicsa simple discrete system with unilateral contact and Coulomb friction /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Qualitative analysis of nonsmooth dynamicsAlain Léger, Elaine Pratt.
Reminder of title:	a simple discrete system with unilateral contact and Coulomb friction /
Author:	Léger, A.
other author:	Pratt, Elaine,
Published:	London, UK :ISTE Press, Ltd. ;2016.
Description:	1 online resource.
Subject:	Nonlinear mechanics.
Online resource:	https://www.sciencedirect.com/science/book/9781785480942
ISBN:	9780081012017 (electronic bk.)

Qualitative analysis of nonsmooth dynamicsa simple discrete system with unilateral contact and Coulomb friction /
Léger, A.1943-

Qualitative analysis of nonsmooth dynamicsa simple discrete system with unilateral contact and Coulomb friction /[electronic resource] :Alain Léger, Elaine Pratt. - London, UK :ISTE Press, Ltd. ;2016. - 1 online resource.

Includes bibliographical references and index.

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 infinitely many equilibria exist -- 5.5. Toward a more general excitation -- Chapter 6: The Case of the Nonlinear Restoring Force -- 6.1. Introduction -- 6.2. A particular case: Fn>0 large enough and.

ISBN: 9780081012017 (electronic bk.)

LCCN: 2016439817Subjects--Topical Terms:

190487
Nonlinear mechanics.
Index Terms--Genre/Form:

214472
Electronic books.

LC Class. No.: QA808

Dewey Class. No.: 620.1

Qualitative analysis of nonsmooth dynamicsa simple discrete system with unilateral contact and Coulomb friction /
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