Random Vibrations

Dr. Yingguang Wang is a faculty member of the School of Ocean and Civil Engineering, Shanghai Jiao Tong University. He received his graduate degree from the University of Washington, Seattle, U. S. A. in 2001. He worked in 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 sole authored by Dr. Wang). He is a member of the American Society of Mechanical Engineers and a member of the American Society of Civil Engineers. He has also been serving 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. Yingguang 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. Yingguang Wang has been inducted into Sigma Xi, The Scientific Research Honor Society as a full member since 2023.

Chapter 1 Introduction Chapter 2 Random variables and related probability theory Chapter 3 Random processes Chapter 4 Spectral analysis of random processes Chapter 5 Random vibration of single degree of freedom linear systems Chapter 6 Random vibration of two-degree-of-freedom linear systems Chapter 7 Random vibration of multi-degree-of-freedom linear systems Chapter 8 Random vibration of nonlinear systems Chapter 9 Simulation methods for random vibration analysis Chapter 10 Random vibration induced failures Appendix A：Derivation of the Parseval theorem Appendix B：Derivation of the Wiener-Khintchine theorem Appendix C: Damping Appendix D: Residue integration in random vibrational analysis Appendix E: Theory of springs