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.
Table of Contents:
1. Introduction. 2. Random Variables and Related Probability Theory. 3. Random Processes. 4. Spectral Analysis of Random Processes. 5. Random Vibration of Single-Degree-of-Freedom Linear Systems. 6. Random Vibration of Two-Degree-of-Freedom Linear Systems. 7. Random Vibration of Multi-Degree-of-Freedom Linear Systems. 8. Random Vibration of Nonlinear Systems. 9. Simulation Methods for Random Vibration Analysis. 10. Random Vibration Induced Failures.
About the Author :
Yingguang Wang is a faculty member of the School of Ocean and Civil Engineering, Shanghai Jiao Tong University. He earned a graduate degree at the University of Washington, Seattle, USA, in 2001. He worked at a leading American engineering company in Philadelphia as a structural design engineer before joining the faculty at Shanghai Jiao Tong University in 2003.
During his academic career, Dr. Wang has published 76 peer-reviewed academic papers in leading international journals as the first author (and most of these papers are solely authored by Dr. Wang). He is a member of the American Society of Mechanical Engineers and the American Society of Civil Engineers. He has also served as the Associate Editor of the SNAME (Society of Naval Architects and Marine Engineers) Journal of Ship Production and Design. From 2010 to present, Dr. Wang has also been a committee member of the SNAME Ship Design Committee, SD-3 Stability Panel.
In 2018, Dr. Wang won the prestigious Albert Nelson Marquis Lifetime Achievement Award for having demonstrated unwavering excellence in the field of engineering. He was a recipient of an Outstanding Reviewer Award bestowed by the Journal of Ocean Engineering in 2017 and a recipient of an Outstanding Reviewer Award bestowed by the Journal of Ocean Engineering and Science in 2018. Dr. Wang was inducted into Sigma Xi, the Scientific Research Honor Society, in 2023.
