Random Vibration and Spectrum Analysis

This book provides an in-depth exploration of random vibration and spectral analysis theory, while emphasizing the completeness of knowledge. It incorporates fundamental theories related to the book's content, drawing from various fields such as theoretical mechanics, material mechanics, mechanical vibration, and engineering mathematics. The focus is on studying and solving the problem of random vibration response analysis in mechanical systems, locomotives, vehicles, and other engineering disciplines.The content includes fundamentals of vibration, probability theory, random variables and random processes, spectral analysis, transfer characteristics of single-degree-of-freedom and multi-degree-of-freedom random vibrations, and random vibration of rail transit vehicles. The book also presents essential theories and methods such as integral transforms, correlation analysis of random vibrations, spectral analysis, random excitation-response analysis of linear systems, statistical characterization of random responses, and random vibration analysis.

Chapter 1 Introduction Chapter.- 2 Vibration Chapter.- 3 Random Variable.

Dr. Jimin Zhang is Professor at the Institute of Rail Transit, Tongji University. He is Reviewer for National Natural Science Foundation of China. He has taught nearly two decades, on undergraduate courses including Principles of Automatic Control, Mechatronics System Design, Train Design and Integration, and graduate courses including Random Vibration and Spectrum Analysis, Intelligent Control, System Identification, and more. He has been engaged in research on vehicle operation safety, dynamic and static structural strength, dynamics, as well as intelligent control and algorithm based intelligent control of trains (operation).

Dr. Hechao Zhou is Associate Professor at the Institute of Rail Transit, Tongji University. He has hosted and participated in more than 30 projects, including the National Natural Science Foundation of China, the National Key R&D Program. Published over 40 journal papers, won the Shanghai Pujiang Talent Program, the Second Class of Science and Technology Progress Award of Jiangsu Province, the Second Class of Science and Technology Progress Award of China Railway Society.