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Fractional Vibrations with Applications to Euler-Bernoulli Beams

Description

by Ming Li 

The book examines vibration phenomena with an emphasis on fractional vibrations using the functional form of linear vibrations with frequency-dependent mass, damping, or stiffness, covering the theoretical analysis potentially applicable to structures and, in particular, ship hulls.

Covering the six classes of fractional vibrators and seven classes of fractionally damped Euler-Bernoulli beams that play a major role in hull vibrations, this book presents analytical formulas of all results with concise expressions and elementary functions that set it apart from other recondite studies. The results show that equivalent mass or damping can be negative and depends on fractional orders. Other key highlights of the book include a concise mathematical explanation of the Rayleigh damping assumption, a novel description of the nonlinearity of fractional vibrations, and a new concept of fractional motion, offering exciting additions to the field of fractional vibrations.

This title will be a must-read for students, mathematicians, physicists, and engineers interested in vibration phenomena and novel vibration performances, especially fractional vibrations.

Details

Year:
2024
Pages:
559
Language:
English
Format:
PDF
Size:
172 MB
ASIN:
B0CP2XWTYX
ISBN-10:
1032603607
ISBN-13:
9781032603605, 978-1-032-60360-5, 978-1032603605, 978-1-032-60891-4, 978-1032608914, 9781032608914, 978-1-003-46094-7, 9781003460947, 978-1003460947
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