Stability of Discrete Non-conservative Systems

✍ Scribed by Jean Lerbet, Noël Challamel, François Nicot, Félix Darve

• Publisher: ISTE Press
• Year: 2019
• Tongue: English
• Leaves: 291
• Series: Discrete Granular Mechanics Set
• Category: Library

✦ Synopsis

Stability of Discrete Non-conservative Systems first exposes the general concepts and results concerning stability issues. It then presents an approach of stability that is different from Lyapunov which leads to the second order work criterion. Thanks to the new concept of Kinematic Structural Stability, a complete equivalence between two approaches of stability is obtained for a divergent type of stability. Extensions to flutter instability, to continuous systems, and to the dual questions concerning the measure of non-conservativeness provides a full, fresh look at these fundamental questions. A special chapter is devoted to applications for granular systems.

✦ Table of Contents

Contents
Introduction
1. On Stability of Discrete and Asymptotically Continuous Systems
2. Second-order Work Criterion and Stability in the Small
3. Mixed Perturbations and Second-order Work Criterion
4. Divergence Kinematic Structural Stability
5. Flutter Kinematic Structural Stability
6. Geometric Degree of Non-conservativity
7. Buckling of Granular Systems with Shear Interactions: Discrete versus Continuum Approaches
8. Continuous Divergence KISS
Index