Fractional Random Vibrations I
Theories
1st Edition
Published on 2. October 2025
Book
Hardback
158 pages
978-1-041-11019-4 (ISBN)
Description
This two-volume set provides a comprehensive study of fractional random vibration from the perspective of theory and practice. Volume I deals succinctly with the theories of fractional processes and fractional vibration systems.
A major focus of fractional vibrations is the derivation of analytical expressions for the frequency transfer functions of seven classes of fractional vibrations using elementary functions. This is considered from the perspective of the functional form of linear vibrations with frequency-dependent mass, damping, or stiffness. The present results serve as a basis for the study of the novel and frontier topic of fractional processes passing through fractional vibration systems, which is discussed in Volume II.
The title will be essential reading for students, mathematicians, physicists, and engineers interested in fractional random vibration phenomena.
A major focus of fractional vibrations is the derivation of analytical expressions for the frequency transfer functions of seven classes of fractional vibrations using elementary functions. This is considered from the perspective of the functional form of linear vibrations with frequency-dependent mass, damping, or stiffness. The present results serve as a basis for the study of the novel and frontier topic of fractional processes passing through fractional vibration systems, which is discussed in Volume II.
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
Postgraduate and Professional Reference
Illustrations
16 s/w Abbildungen, 16 s/w Zeichnungen
16 Line drawings, black and white; 16 Illustrations, black and white
Dimensions
Height: 240 mm
Width: 161 mm
Thickness: 14 mm
Weight
438 gr
ISBN-13
978-1-041-11019-4 (9781041110194)
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
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 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