Jean Lerbet, Noel Challamel, Francois Nicot

Stability of Discrete Non-conservative Systems

• Gebundenes Buch

Produktbeschreibung

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.

Produktdetails

• Verlag: Elsevier Science & Technology / ISTE Press - Elsevier
• Artikelnr. des Verlages: C2017-0-01440-4
• Englisch
• Abmessung: 17mm x 152mm x 229mm
• Gewicht: 580g
• ISBN-13: 9781785482861
• Artikelnr.: 52640967

Autorenporträt

Jean Lerbet is Professor at the Universities of Evry and Paris Saclay in France. His research interests include differential geometry and mechanics, and stability.Noe¨l Challamel is Professor at University of South Brittany (Universite´ de Bretagne Sud - Lorient, France). He is the head of a research team in Civil Engineering and Multiscale Mechanics. His research at University of South Brittany mainly concerns civil engineering, theoretical and applied mechanics problems, with a particular emphasis on scale effects, structural mechanics, stability, vibrations and material modeling (Continuum Damage Mechanics and Plasticity). He is the co- author of three books in the field of mechanics and civil engineering. He has published over a hundred papers in high standard journals. He is often consulted as a referee in more than 50 international journals in Civil Engineering, Physics or Mechanics. He is member of the editorial board of 11 international journals, and is associate editor of the Journal of Engineering Mechanics, one of the leading journals published by the American Society of Civil Engineering. He is also editor and head of the collection « Solid Mechanics and Mechanical Engineering » published by ISTE Wiley

Inhaltsangabe

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