Theory of Vibration With Applications – William Thomson – 4th Edition


Widely acclaimed for its clear presentation of introductory material, this best-selling volume provides a thorough treatment of theory and its applications. Thomson incorporates modern techniques of theory and digital methods, and focuses on the aspects of the mathematical concepts needed to describe the phenomena. Numerous examples illustrate to typical faced by practicing engineers. In addition, simple and effective techniques such as the Central Difference Method, the Runge-Kutta Methods, and the Choleski-Jacoby Methods are explored.

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Table of Contents

1. Oscillatory motion
2. Free vibration
3. Harmonically excited vibration
4. Transient vibration
5. Systems with two of more degrees of freedom
6. Properties of vibrating systems
7. Lagrange´s equation
8. Computational methods
9. Vibration of continuous systems
10. Introduction to the finite element method
11. Mode-Summation procedures for continuous systems
12. Classical methods
13. Random vibrations
14. Nonlinear vibrations

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