Fractional Random Vibrations: Two Volume Set

Name: Fractional Random Vibrations: Two Volume Set
Brand: Taylor & Francis Ltd
SKU: 9781041111740
Price: 11674.0 INR
Availability: InStock

by Ming Li

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ISBN13: 9781041111740
Binding: Misc
Subject: N/A
Publisher: Taylor & Francis Ltd
Publisher Imprint: Taylor & Francis Ltd
Publication Date: October 24, 2025
Pages: 372
Original Price: GBP 137.98
Language: English
Edition: 1
Item Weight: 844 grams
BISAC Subject(s): Computer Science

About The Book

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 expressions for the frequency transfer functions of seven classes of fractional vibrations using elementary functions. Theoretical support is provided by the functional form of linear vibrations with frequency-dependent mass, damping, or stiffness. Volume II provides the analytical expressions for the responses of seven classes of fractional vibration systems subjected to fractional Gaussian noise, generalized fractional Gaussian noise, fractional Brownian motion, the fractional Ornstein-Uhlenbeck process, the process with the von K�rm�n spectrum, and the one with the Pierson-Moskowitz spectrum. It applies the theories discussed in Volume I to the novel and cutting-edge topic of fractional processes, with special emphasis on fractional vibration systems for marine structures influenced by the Pierson-Moskowitz and von K�rm�n spectra.

The titles will be essential reading for students, mathematicians, physicists, and engineers interested in vibration phenomena driven by fractional processes.

About The Author

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.

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