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arXiv · 1111.4700

Coupled nonlinear oscillators: metamorphoses of amplitude profiles for the approximate effective equation - the case of 1:3 resonance

Jan Kyziol·Andrzej Okninski
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Abstract

We study dynamics of two coupled periodically driven oscillators. An 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 (derived in our earlier papers) are determined within the Krylov-Bogoliubov-Mitropolsky approach to compute the amplitude profiles $A(Ω)$. In the present paper we investigate metamorphoses of the function $A(Ω)$ induced by changes of the control parameters in the case of 1:3 resonances.

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Jan Kyziol, Andrzej Okninski. 2011-11-27. Coupled nonlinear oscillators: metamorphoses of amplitude profiles for the approximate effective equation - the case of 1:3 resonance. https://doi.org/10.5506/aphyspolb.43.1275

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