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arXiv · 1012.2140

Coupled nonlinear oscillators: metamorphoses of amplitude profiles. The case of the approximate effective equation

Jan Kyziol·Andrzej Okninski
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Abstract

We study dynamics of two coupled periodically driven oscillators. Important example of such a system is a dynamic vibration absorber which consists of a small mass attached to the primary vibrating system of a large mass. Periodic solutions of the approximate effective equation are determined within the Krylov-Bogoliubov-Mitropolsky approach to get the amplitude profiles $AOmega) $. Dependence of the amplitude $A$ of nonlinear resonances on the frequency $ Ω$ is much more complicated than in the case of one Duffing oscillator and hence new nonlinear phenomena are possible. In the present paper we study metamorphoses of the function $A(Ω) $ induced by changes of the control parameters.

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Jan Kyziol, Andrzej Okninski. 2010-12-09. Coupled nonlinear oscillators: metamorphoses of amplitude profiles. The case of the approximate effective equation. https://doi.org/10.5506/aphyspolb.42.2063

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