Vibration of Continuous Systems – Singiresu S. Rao – 1st Edition


Broad, up-to-date coverage of advanced by -leading author Successful vibration of continuous structural elements and requires a knowledge of material , structural mechanics, ordinary and partial differential equations, matrix , variational calculus, and integral equations. Fortunately, leading author Singiresu Rao has created Vibration of Continuous Systems, a new that provides engineers, researchers, and with everything they need to know about analytical methods of vibration analysis of continuous structural systems.

Featuring coverage of strings, bars, shafts, beams, circular rings and curved beams, membranes, plates, and shells-as well as an introduction to the propagation of elastic waves in structures and solid bodies-Vibration of Continuous Systems presents: Methodical and comprehensive coverage of the vibration of different types of structural elements The exact analytical and approximate analytical methods of analysis in a straightforward manner, complete with illustrative examples With chapters that are independent and self-contained, Vibration of Continuous Systems is the perfect book that works as a one-semester course, self-study tool, and convenient reference.

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Table of Contents

Chapter 1. Introduction: Basic Concepts and Terminology.
Chapter 2. Vibration of Discrete Systems: Brief Review.
Chapter 3. Derivation of Equations: Equilibrium Approach.
Chapter 4. Derivation of Equations: Variation Approach.
Chapter 5. Derivation of Equations: Integral Equation Approach. Chapter 6. Solution Procedure: Eigenvalue and Modal Analysis Approach.
Chapter 7. Solution Procedure: Integral Transform Methods.
Chapter 8. Transverse Vibration of Strings.
Chapter 9. Longitudinal Vibration of Bars.
Chapter 10. Torsional Vibration of Shafts.
Chapter 11. Transverse Vibration of Beams.
Chapter 12. Vibration of Circular Rings and Curved Beams.
Chapter 13.Vibration of Membranes.
Chapter 14. Transverse Vibration of Plates.
Chapter 15. Vibration of Shells.
Chapter 16. Elastic Wave Propagation.
Chapter 17. Approximate Analytical Methods.
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