Isospectral vibrating systems / Ranjan Ganguli.
By: Ganguli, Ranjan [author.]
.
Material type: 
BookPublisher: Boca Raton, FL : CRC Press, 2021Copyright date: ©2021Edition: First edition.Description: 1 online resource (xii, 290 pages) : illustrations (some color).Content type: text Media type: computer Carrier type: online resourceISBN: 9781003155379; 1003155375; 9781000413496; 1000413497; 9781000413465; 1000413462.Subject(s): Machinery -- Vibration | Vibration -- Testing | Spectral theory (Mathematics) | TECHNOLOGY / Engineering / MechanicalDDC classification: 621.8/11 Online resources: Taylor & Francis | OCLC metadata license agreement Summary: "This book presents an isospectral approach for several important mechanical vibrating systems. Discrete and continuous isospectral systems are discussed using a simple multi-degree of freedom spring-mass system followed by illustration of isospectral beams and their solution through evolutionary computing. Next, it addresses axially loaded Euler-Bernoulli beams and aims to find isospectral counterparts of these systems. The practical application of these isospectral systems for vibration testing and for finding new closed form solutions is discussed. A considerable part of the book is devoted to isospectral rotating beams and their non-rotating analogs including Rayleigh beams. Aimed at researchers and graduate students in mechanical, aerospace, civil, automotive and ocean engineering especially mechanical vibrations, this monograph : discusses isospectral vibrating systems to aid vibration testing and computational analysis, explores isospectral analogs between rotating and non-rotating structures, provides simpler isospectral beams for vibration testing and for 3D printing, uses firefly optimization method and electromagnetism inspired optimization method to find isospectral systems, and shows the use of isospectral systems to find new closed form solutions using an indirect approach"-- Provided by publisher.
"This book presents an isospectral approach for several important mechanical vibrating systems. Discrete and continuous isospectral systems are discussed using a simple multi-degree of freedom spring-mass system followed by illustration of isospectral beams and their solution through evolutionary computing. Next, it addresses axially loaded Euler-Bernoulli beams and aims to find isospectral counterparts of these systems. The practical application of these isospectral systems for vibration testing and for finding new closed form solutions is discussed. A considerable part of the book is devoted to isospectral rotating beams and their non-rotating analogs including Rayleigh beams. Aimed at researchers and graduate students in mechanical, aerospace, civil, automotive and ocean engineering especially mechanical vibrations, this monograph : discusses isospectral vibrating systems to aid vibration testing and computational analysis, explores isospectral analogs between rotating and non-rotating structures, provides simpler isospectral beams for vibration testing and for 3D printing, uses firefly optimization method and electromagnetism inspired optimization method to find isospectral systems, and shows the use of isospectral systems to find new closed form solutions using an indirect approach"-- Provided by publisher.
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