Fractional Vibrations with Applications to Euler-Bernoulli Beams

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. It covers six classes of fractional vibrators and seven classes of fractionally damped Euler-Bernoulli beams and presents analytical formulas of all results with concise expressions and elementary functions. It also includes 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.

Format: Hardback
Length: 530 pages
Publication date: 29 December 2023
Publisher: Taylor & Francis Ltd

The book delves into the realm of vibration phenomena, placing a significant emphasis on fractional vibrations. By employing the functional form of linear vibrations with frequency-dependent mass, damping, or stiffness, it explores the theoretical analysis that holds potential applications in structures, particularly ship hulls. Spanning six classes of fractional vibrators and seven classes of fractionally damped Euler-Bernoulli beams, this comprehensive text presents analytical formulas for all outcomes, utilizing concise expressions and elementary functions. Notably, the results reveal that equivalent mass or damping can be negative, contingent upon fractional orders. Additional noteworthy aspects of the book include a succinct mathematical explanation of the Rayleigh damping assumption, a novel portrayal of the nonlinearity of fractional vibrations, and the introduction of a novel concept of fractional motion, offering exciting advancements to the field of fractional vibrations.

This title is a vital resource for students, mathematicians, physicists, and engineers with an interest in vibration phenomena and innovative vibration performances, particularly in the realm of fractional vibrations.

Weight: 1190g
Dimension: 254 x 178 (mm)
ISBN-13: 9781032603605