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Fractional Random Vibrations II: Applications
Hardcover
Series: Fractional Order Thinking in Exploring the Frontiers of Stem
Technology & EngineeringAlgebraGeneral Computers
ISBN13: 9781041110217
Publisher: CRC Press
Published: Oct 24 2025
Pages: 18
Weight: 1.00
Height: 0.50 Width: 6.14 Depth: 9.21
Language: English
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.
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