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
Table of Contents
Chapter 1. Introduction: Spring-Mass Systems. 2. Discrete Models of Beams. 3. Beams with Tip-Force Discrete Models. 4. Gravity Loaded Beams-Discrete Models. 5. Rotating-Discrete Models. 6. Isospectral Beams-Electromagnetism Optimization. 7. Isospectral Beams-Closed Form Solutions. 8. Isospectral Systems for Testing. 9. Beams with Shared Eigenpairs. 10. Isospectral Rayleigh Beams. References. Index.
Dr. Ranjan Ganguli is a professor in the Aerospace Engineering Department of the Indian Institute of Science (IISc), Bangalore. He received his MS and Ph.D. degrees from the Department of Aerospace Engineering at the University of Maryland, College Park, and his B.Tech. degree in aerospace engineering from the Indian Institute of Technology. He has worked at Pratt & Whitney on engine gas path diagnostics and, during his academic career at IISc, has conducted sponsored research projects for companies such as Boeing, Pratt & Whitney, Honeywell, and HAL. He has authored or coauthored three books, published more than 140 papers in refereed journals, and presented more than 80 papers at conferences. He is a fellow of the American Society of Mechanical Engineers, the Royal Aeronautical Society, and the Indian National Academy of Engineering, and an associate fellow of the American Institute of Aeronautics and Astronautics. He received the Alexander von Humboldt Fellowship and the Fulbright Fellowship in 2007 and 2011, respectively. He is an associate editor of the AIAA Journal and the Journal of the American Helicopter Society.