1st Edition

Fractional Random Vibrations Two Volume Set

By Ming Li
372 Pages 172 B/W Illustrations
by CRC Press

This two-volume set provides a comprehensive study of fractional random vibration from the perspective of theory and practice. By fractional random vibration, we mean the random vibration of fractional vibration systems driven by fractional processes.   Volume I explores the fundamentals of fractional processes and fractional vibration systems. A major focus is the derivation of analytical... Read more

Vol I: 1 Fundamentals of Harmonic Vibrations  2 Random Processes  3 Fractional Processes  4 Responses of Random Vibration Systems and Input-Output Relations  5 Vibrations with Frequency Dependent Mass, Damping, and Stiffness  6 Classification of Fractional Vibrations  7 Seven Classes of Fractional Vibrations  8 Postscript to Volume I

Vol II: 1 Responses of Fractional Vibrations Driven by Pierson-Moskowitz Spectrum  2 Responses of Fractional Vibrations Driven by Fractional Gaussian Noise  3 Responses of Fractional Vibrations Driven by Generalized Fractional Gaussian Noise  4 Responses of Fractional Vibrations Driven by Fractional Brownian Motion  5 Responses of Fractional Vibrations Driven by Fractional Ornstein-Uhlenbeck Proces  6 Responses of Fractional Vibrations Driven by von Kármán Spectrum  7 Postscript to Volume II

Biography

Ming Li is a professor at Ocean College, Zhejiang University, China, and an emeritus professor at East China Normal University. He has been a contributor for many years to the fields of mathematics, statistics, mechanics, and computer science. His publications with CRC Press also include Multi-Fractal Traffic and Anomaly Detection in Computer Communications, Fractal Teletraffic Modeling and Delay Bounds in Computer Communications, and Fractional Vibrations with Applications to Euler-Bernoulli Beams