Vibration of Continuous Systems / Edition 1

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Broad, up-to-date coverage of advanced vibration analysis by the market-leading author

Successful vibration analysis of continuous structural elements and systems requires a knowledge of material mechanics, structural mechanics, ordinary and partial differential equations, matrix methods, variational calculus, and integral equations. Fortunately, leading author Singiresu Rao has created Vibration of Continuous Systems, a new book that provides engineers, researchers, and students 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
* Fundamental concepts 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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Product Details

  • ISBN-13: 9780471771715
  • Publisher: Wiley
  • Publication date: 1/2/2007
  • Edition description: New Edition
  • Edition number: 1
  • Pages: 744
  • Product dimensions: 7.89 (w) x 9.09 (h) x 1.64 (d)

Meet the Author

Singiresu S. Rao, PhD, is Professor and Chairman of the Department of Mechanical Engineering at the University of Miami in Coral Gables, Florida. He has authored a number of textbooks, including the market-leading introductory-level text on vibrations, Mechanical Vibrations, Fourth Edition.

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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 EquationApproach.

Chapter 6. Solution Procedure: Eigenvalue and Modal AnalysisApproach.

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.

A. Basic Equations of Elasticity.

B. Laplace and Fourier Transforms.


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