Stability of Discrete Non-conservative Systems
暫譯: 離散非保守系統的穩定性
Jean Lerbet, Noel Challamel, Francois Nicot, Felix Darve
- 出版商: ISTE Press - Elsevier
- 出版日期: 2020-11-16
- 售價: $7,510
- 貴賓價: 9.5 折 $7,135
- 語言: 英文
- 頁數: 220
- 裝訂: Hardcover
- ISBN: 1785482866
- ISBN-13: 9781785482861
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商品描述
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
商品描述(中文翻譯)
《離散非保守系統的穩定性》首先揭示了有關穩定性問題的一般概念和結果。接著，它提出了一種不同於李雅普諾夫（Lyapunov）的方法，這導致了二階功率準則。得益於運動結構穩定性（Kinematic Structural Stability）的新概念，對於發散型穩定性，兩種穩定性方法之間獲得了完全的等價性。對於顫振不穩定性、連續系統以及有關非保守性度量的雙重問題的擴展，提供了對這些基本問題的全面而新穎的視角。特別有一章專門討論顆粒系統的應用。
- 提供有結構的穩定性問題回顧
- 提供可用於非保守框架（如假彈性（hypoelasticity））的分析方法和關鍵概念
