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Informationen zum Autor Wei-Chau Xie is a Professor in the Department of Civil Engineering at the University of Waterloo. He is the author of numerous articles on dynamic stability of structures! nonlinear dynamics! and stochastic mechanics. He is the recipient of the Teaching Excellence Award in recognition of his exemplary record as a teacher. Klappentext 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. The emphasis falls 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. Zusammenfassung 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 several approaches. This volume is suitable as a graduate textbook or for self-study. Inhaltsverzeichnis 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.
