Stochastic Dynamics of Structures







Preface

As a scientific discipline, stochastic dynamics of structures has evolved from its infancy in the

early 1940s to a relatively mature branch of dynamics today. In the process, basic random

vibration theory is believed to have been established in the late 1950s and mainly deals with the

response analysis of structures to stochastic excitations, such as the response of buildings and

bridges to wind loading and earthquakes, the vibration of vehicles traveling over rough ground

and the dynamic behavior of aircraft induced by atmospheric turbulence and jet noise. In the

late 1960s, the importance of the effect of randomness in structural parameters on the structural

response was recognized gradually and this led to stochastic structural analysis, or stochastic

finite-element analysis as termed by many researchers. There has been a large amount of

literature published in the past 40 years; however, careful people may find that random

vibration theory and stochastic finite element analysis seem to have developed in two parallel

ways. It is very hard for most engineers, even those specialists who are familiar with stochastic

analysis, to organize their knowledge of the two branches of dynamics in a systematic

framework. Therefore, the first aim of this book is to present a coherent and reasonably

self-contained theoretical framework of the stochastic dynamics of structures which may

bridge the gap between traditional random vibration theory and the stochastic finite-element

analysis method. We hope such a treatment will provide a comprehensive account for

stochastic dynamic response analysis, reliability evaluation and system control.

415 Pages


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