Qualitative Analysis of Nonsmooth Dynamics: A Simple Discrete System with Unilateral Contact and Coulomb Friction

by Léger, A.

Type Book

Rate 0.0 /5

Details

Files

Reviews

Download

Title Statements

Full title :Qualitative Analysis of Nonsmooth Dynamics: A Simple Discrete System with Unilateral Contact and Coulomb Friction

Edition Statements

Publication Date:2016.

Publication Statements

Publisher(s):Elsevier
Language:eng
Publication Date:2016.

The Physical Object

Description:1 online resource

Edition Identifiers

ISBN:9781785480942, 1785480944, 9780081012017, 0081012012
oclc:on1229785613
LC Classification:Q
Dewey Decimal:620.104

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 strainsChapter 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

Subjects