Random Vibration

"Random vibration is an important branch in [the] area of dynamic structure. At the same time, it is an obscure portion to most engineering students and researchers. In this book, the author present[s] a clear method to resolve this difficulty, by showing lots of real examples or practical engineering following the basic concept about stochastic process. It constructs a bridge between these two parts instead of basing rigorous mathematical logic creatively."—Professor Baitao Sun, Institute of Engineering Mechanics, China Earthquake Administration, Harbin"… an excellent resource for students to learn basic methodologies handling random processes and a great reference material for researchers exploring their research on principles of multiple hazard design for structures. … admirable for its content … The authors successfully make a breakthrough that avoids mathematical difficulties for students to absorb the essential concepts needed to account for random data and processes, and effectively help readers apply the methodologies to solve their problems. … exceptional material for the study of random vibration."—Kuo-Chun Chang, Professor, Department of Civil ngineering, National Taiwan University, Director, National Center for Research on Earthquake Engineering, Taipei, Taiwan

• Section I Basic Probability Theory. Introduction. Functions of Random Variables. Section II Random Process. Random Processes in the Time Domain. Random Processes in the Frequency Domain. Statistical Properties of Random Process. Section III Vibrations. Single-Degree-of-Freedom Vibration Systems. Response of SDOF Linear Systems to Random Excitations. Random Vibration of MDOF Linear Systems. Section IV Applications and Further Discussions. Inverse Problems. Failures of Systems. Nonlinear Vibrations and Statistical Linearization. References. Index.