"Random Vibrations Theory and Applications investigates methods involved in stochastic response and stability analyses of nonlinear systems. Using a systematic approach to present the foundational framework within nonlinear systems, the book highlights the significance of effective analysis. Throughout the book, the considerable impact of selecting an appropriate method in the design and optimization of various nonlinear engineering systems is demonstrated. Exploring many methods in detail, and comparingand contrasting their individual strengths and weaknesses, the book covers the Monte Carlo simulation method, the numerical path integral solution method, the global geometric method and the first passage theory. Using case studies throughout, the book demonstrates practical applications for nonlinear engineering systems. This book would be of interest to engineers and scientists from a variety of fields, including aeronautical, civil, mechanical, and ocean engineering, who are involved in research on stochastic dynamic analysis of nonlinear systems. The book is also intended for upper undergraduate and graduate students in the field of advanced dynamic analysis technologies"--
Random Vibrations: Theory and Applications investigates methods and theories involved in random vibration analyses of linear and nonlinear systems, as well as in predicting random vibration induced failures.
This book is a lucid and well-paced introduction to random vibrations, superbly motivated and illustrated through a wealth of convincing applications in various engineering fields. The strong points of the book are its coverage of weakly stationary and ergodic random processes, spectral analysis of random processes, mode displacement superposition method, equivalent linearization technique for nonlinear random vibrations and an updated definition of rain flow cycle for fatigue analysis. Particularly appealing features of the book are its numerous examples and end-of-chapter exercises. This book offers a clear guide to the formulations and mathematical properties of random vibration analysis techniques, with an emphasis on practical applications rather than mathematical development for its own sake. However, some important mathematical formulas have been explicitly deduced in a detailed manner so that readers can go through the material in this book very smoothly and efficiently.
This book is intended for upper undergraduate and graduate students who are interested in learning advanced techniques for performing random vibration analysis, researchers and scientists investigating linear and nonlinear systems under random external excitations, and aeronautical/civil/mechanical/structural/ocean engineers involved in the design and manufacture of real-world stochastically excited engineering systems.
Random Vibrations: Theory and Applications investigates methods and theories involved in random vibration analyses of linear and nonlinear systems and in predicting random vibration induced failures.
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