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 Karman 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 Karman spectra.
The titles will be essential reading for students, mathematicians, physicists, and engineers interested in vibration phenomena driven by fractional processes.
Reihe
Sprache
Verlagsort
Verlagsgruppe
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Postgraduate and Professional Reference
Illustrationen
172 s/w Abbildungen, 172 s/w Zeichnungen
172 Line drawings, black and white; 172 Illustrations, black and white
Maße
Höhe: 234 mm
Breite: 156 mm
ISBN-13
978-1-041-11174-0 (9781041111740)
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 Klassifikation
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.
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 Karman Spectrum 7 Postscript to Volume II
