Dynamic Stability of Structures by Wei-Chau XieDynamic Stability of Structures by Wei-Chau Xie

Dynamic Stability of Structures

byWei-Chau Xie

Paperback | December 2, 2010

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This book presents a systematic introduction to the theory of parametric stability of structures under both deterministic and stochastic loadings. A comprehensive range of theories are presented and various application problems are formulated and solved, often using more than one approach. Investigation of an elastic system's dynamic stability frequently leads to the study of dynamic behavior of the solutions of parametrically excited systems. Parametric instability or resonance is more dangerous than ordinary resonance as it is characterized by exponential growth of the response amplitudes even in the presence of damping. The emphasis in this book is on the applications and various analytical and numerical methods for solving engineering problems. The materials presented are as self-contained as possible, with all of the important steps of analysis provided, in order to make the book suitable as a graduate level textbook and especially for self-study.
Title:Dynamic Stability of StructuresFormat:PaperbackDimensions:454 pages, 9.61 × 6.69 × 0.91 inPublished:December 2, 2010Publisher:Cambridge University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0521158826

ISBN - 13:9780521158824


Table of Contents

1. Introduction; Part I. Dynamic Stability of Structures under Deterministic Loadings: 2. Linear differential equations with periodic coefficients; 3. Approximate methods; 4. Nonlinear systems under periodic excitations; Part II. Dynamic Stability of Structures under Stochastic Loadings: 5. Random processes and stochastic differential equations; 6. Almost-sure stability of systems under ergodic excitations; 7. Moment stability of stochastic systems; 8. Lyapunov exponents; 9. Moment Lyapunov exponents; Appendix A. Maple programs; Bibliography.

Editorial Reviews

"The book is an excellent textbook for an advanced level graduate course, and calls for slow and meditative reading. In the end, however, the reader will have the feeling of having been walked, in a methodical and scientific way, through a fascinating area of dynamics."
- Ricardo Foschi, The University of British Columbia