Stability of Discrete Non-conservative Systems (ePub)
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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.
- Presents a structured review on stability questions
- Provides analytical methods and key concepts that may be used in non-conservative frameworks like hypoelasticity
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.
- Autoren: Jean Lerbet , Noel Challamel , Francois Nicot , Felix Darve
- 2020, 290 Seiten, Englisch
- Verlag: Elsevier Science & Techn.
- ISBN-10: 0081027656
- ISBN-13: 9780081027653
- Erscheinungsdatum: 27.11.2020
Abhängig von Bildschirmgrösse und eingestellter Schriftgrösse kann die Seitenzahl auf Ihrem Lesegerät variieren.
- Dateiformat: ePub
- Grösse: 10 MB
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