Isospectral Vibrating Systems

<p>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:</p><p>Discusses isospectral vibrating systems to aid vibration testing and computational analysis <br>Explores isospectral analogs between rotating and non-rotating structures <br>Provides simpler isospectral beams for vibration testing and for 3D printing <br>Uses firefly optimization method and electromagnetism inspired optimization method to find isospectral systems <br>Shows the use of isospectral systems to find new closed form solutions using an indirect approach</p>