Fractional Random Vibrations II
Applications
Published on 24. October 2025
194 pages
978-1-040-43071-2 (ISBN)
Description
This two-volume set provides a comprehensive study of fractional random vibration from the perspective of theory and practice. Volume II provides the analytical expressions for the responses of seven classes of fractional vibration systems excited by six types of random processes.
It examines the responses of seven classes of fractional vibrations driven by five fractional processes, namely, fractional Gaussian noise, generalized fractional Gaussian noise, fractional Brownian motion, fractional Ornstein-Uhlenbeck process, the process with the von Karman spectrum, and the process with the Pierson-Moskowitz spectrum. The present results apply the theories discussed in Volume I to the novel and cutting-edge topic of fractional processes, with a special focus on fractional vibration systems for marine structures influenced by the Pierson-Moskowitz and von Karman spectra.
The title will be essential reading for students, mathematicians, physicists, and engineers interested in fractional random vibration phenomena.
It examines the responses of seven classes of fractional vibrations driven by five fractional processes, namely, fractional Gaussian noise, generalized fractional Gaussian noise, fractional Brownian motion, fractional Ornstein-Uhlenbeck process, the process with the von Karman spectrum, and the process with the Pierson-Moskowitz spectrum. The present results apply the theories discussed in Volume I to the novel and cutting-edge topic of fractional processes, with a special focus on fractional vibration systems for marine structures influenced by the Pierson-Moskowitz and von Karman spectra.
The title will be essential reading for students, mathematicians, physicists, and engineers interested in fractional random vibration phenomena.
More details
Series
Language
English
Place of publication
London
United Kingdom
Publishing group
Taylor & Francis Ltd
Target group
College/higher education
Professional and scholarly
Illustrations
156 Line drawings, black and white; 156 Illustrations, black and white
File size
19,81 MB
ISBN-13
978-1-040-43071-2 (9781040430712)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Book
10/2025
1st Edition
CRC Press
€97.20
Shipment within 15-20 days
Person
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.
Content
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 Karman Spectrum 7 Postscript to Volume II
