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
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