Isospectral Vibrating Systems

This book discusses an isospectral approach for mechanical vibrating systems, including discrete and continuous systems, isospectral beams, axially loaded Euler-Bernoulli beams, rotating beams, and their practical applications in vibration testing and computational analysis. It utilizes firefly optimization and electromagnetism-inspired optimization methods to find isospectral systems and demonstrates their use in finding new closed-form solutions.

Format: Paperback / softback
Length: 292 pages
Publication date: 25 September 2023
Publisher: Taylor & Francis Ltd

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

Weight: 557g
Dimension: 234 x 156 (mm)
ISBN-13: 9780367725723