Isospectral Vibrating Systems

ISBN-13: 9780367725723 / Miękka / 2023 / 292 str.

USA) Ganguli Phoenix Ranjan (Viasat Inc.

Opis

This book presents 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, axially loaded Euler-Bernoulli beams, isospectral rotating beams and their non-rotating analogs including Rayleigh and Timoshenko beams.

Spis treści

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.