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Qualitative analysis of nonsmooth dynamics : a simple discrete system with unilateral contact and Coulomb friction /
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
London, UK : Kidlington, Oxford, UK :
ISTE Press, Ltd. ; Elsevier,
2016.
|
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 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.