VIBRATION ANALYSIS OF A SELF-EXCITED SYSTEM WITH PARAMETRIC FORCING AND NONLINEAR STIFFNESS
- 1 March 1999
- journal article
- research article
- Published by World Scientific Pub Co Pte Ltd in International Journal of Bifurcation and Chaos
- Vol. 09 (03) , 493-504
- https://doi.org/10.1142/s021812749900033x
Abstract
Vibrations of a self-excited oscillator under parametric excitation with nonlinear stiffness were investigated in this paper. Differential equation of motion includes van der Pol, Mathieu and Duffing terms. Vibrations synchronization, stability of solutions were examined by means of the multiple time scale method and Floquet theory. Chaotic solutions were found by means of Lyapunov exponent.Keywords
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