Non-linear Vibrations

G. Schmidt; A. Tondl

doi:10.1017/CBO9780511735752

This book expounds the theory of non-linear vibrations, a topic of great interest at present because of its many applications to important fields in physics and engineering. After introducing chapters giving the basic techniques for the study of non-linear systems the authors develop in detail the theory of selected topics encountered in their own work, presenting original material, approaches and results of analysis, and providing illustrations of useful applications.

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Non-linear Vibrations

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Contents

Frontmatter
pp 1-4

Preface
pp 5-6

Contents
pp 7-8

Introduction
pp 9-11

1 - Basic properties and definitions
pp 12-34

2 - Methods of solution
pp 35-47

3 - Auxiliary curves for analysis of non-linear systems
pp 48-76

4 - Analysis in the phase plane
pp 77-111

5 - Forced, parametric and self-excited vibrations
pp 112-153

6 - Vibrations of systems with many degrees of freedom
pp 154-198

7 - Investigation of stability in the large
pp 199-246

8 - Analysis of some excited systems
pp 247-277

9 - Quenching of self-excited vibration
pp 278-322

10 - Vibration systems with narrow-band random excitation
pp 323-335

11 - Vibration systems with broad-band random excitation
pp 336-361

12 - Systems with autoparametric coupling
pp 362-400

Appendix
pp 401-404

Bibliography
pp 405-414

Index
pp 415-420

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Non-linear Vibrations

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