Online resource; title from PDF title page (ScienceDirect, viewed May 9, 2016).
Contents
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.
