Non-linear Vibrations
Cambridge University Press, 4/2/2009
EAN 9780521113229, ISBN10: 0521113229
Paperback, 424 pages, 24.4 x 17 x 2.4 cm
Language: English
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.
1. Basic properties and definitions
2. Methods of solution
3. Auxiliary curves for analysis of non-linear systems
4. Analysis in the phase plane
5. Forced, parametric and self-excited vibrations
6. Vibrations of systems with many degrees of freedom
7. Investigation of stability in the large
8. Analysis of some excited systems
9. Quenching of self-excited vibration
10. Vibration systems with narrow-band random excitation
11. Vibration systems with broad-band random excitation
12. Systems with autoparametric coupling
Appendix
Bibliography
Index.