Schmidt G., Tondl A. Non-linear Vibrations

CUP, Cambridge University Press, 2009. – 421 pp., OCR.This book to be considered not as an attempt to survey the state of the art and extent of current knowledge of non-linear vibrations, but rather as an account of some methods and results in the field of nonlinear vibrations we have obtained or encountered in our personal experience.Basic properties and definitions.
Methods of solution.
Auxiliary curves for analysis of non-linear systems.
Analysis in the phase plane.
Forced, parametric and self-excited ribratlons.
Vibrations of systems with many degrees of freedom.
Investigation of stability in the large.
Analysis of some excited systems.
Quenching of self-excited vibration.
Vibration systems with narrow-band random excitation.
Vibration systems with broad-band random excitation.
Systems with autoparametric coupling.
Appendix.