Fractional Random Vibrations II : Applications (Fractional Order Thinking in Exploring the Frontiers of Stem)

Li, Ming

CRC Press（2025/10発売）

• 製本 Hardcover:ハードカバー版／ページ数 18 p.
• 言語 ENG
• 商品コード 9781041110217

Full 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 Kármán 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 Kármán spectra.

The title will be essential reading for students, mathematicians, physicists, and engineers interested in fractional random vibration phenomena.

Contents

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