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Influence of an Energy Source on Regular and Chaotic Vibrations of Coupled Nonlinear Oscillators

Warmiński J.

Machine Dynamics Problems

2007

Vol. 31, No. 1

101-119

Regular and chaotic vibrations of the system composed of two parametrically and self-excited oscillators are analysed in the paper. The considered system is excited by a non-ideal energy source represented by DC motor with limited power supply. Interactions between different vibration types, bifurcation and the synchronisation regions are found by analytical and numerical methods. Influence of the most important parameters on transition through resonance areas is presented. Possible chaotic motions are determined by Lyapunov exponent criterion.