Isospectral Vibrating Systems

By:

Ranjan Ganguli

Format:

Paperback / softback

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Description

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; 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 Shows the use of isospectral systems to find new closed form solutions using an indirect approach

Release date NZ

September 25th, 2023

Author

Ranjan Ganguli

Audiences

General (US: Trade)
Tertiary Education (US: College)

Illustrations

59 Tables, black and white; 133 Line drawings, black and white; 133 Illustrations, black and white

Pages

292

ISBN-13

9780367725723

Product ID

37861163

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