Der Artikel wird am Ende des Bestellprozesses zum Download zur Verfügung gestellt.

Stability of Discrete Non-conservative Systems

Langbeschreibung
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.
Inhaltsverzeichnis
Introduction1. On Stability of Discrete and Asymptotically Continuous systems2. Second-order work criterion and stability in the small3. Mixed perturbations and Second-order work criterion4. Divergence kinematic structural stability5. Flutter kinematic structural stability6. Geometric degree of non-conservativity 7. Buckling of granular systems with shear interactions: Discrete versus continuum approaches8. Continuous Divergence KISSIndex
Jean Lerbet holds a Master in Theoretical Mechanics of UPMC and a PHD in Theoretical Mechanics of UPMC. Since 2006 , he is the director of the Mechanical Engineering Department of Evry Val D'Essonne University .He is Co-responsable of the French Theoretical Mechanics Network since 2011 and Co-organizer of yearly Quiberon's Summer Schools of Theoretical Mechanics. Also, responsable of Research Teams VASCO and SIMOB of IBISC Laboratory until 2018.During the first 15 years of his career , his main research topic dealt with the applications of calculations on Lie groups to mechanics. These researches led for example to the full classification of the Mechanisms. Since 2004, he focuses a main part of these researches to issues on Stability of Non-Conservative Systems. A major result is the full explanation of the links between two different criteria of stability thanks to the new concept of Kinematical Structural Stability which is the object of the present book. Other interest topics leading also to collaborations are geometrical aspects and/or mechanical applications of control theory, cohomological calculations or even deep learning.
ISBN-13:
9780081027653
Veröffentl:
2020
Seiten:
290
Autor:
Jean Lerbet
eBook Typ:
EPUB
eBook Format:
EPUB
Kopierschutz:
2 - DRM Adobe
Sprache:
Englisch

113,00 €*

Lieferzeit: Sofort lieferbar
Alle Preise inkl. MwSt.