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Abstract: Forced oscillation of a system composed of two pendulums coupled by a springin the presence of damping is investigated. In the steady state and within thesmall angle approximation we solve the system equations of motion and obtainthe amplitudes and phases of in terms of the frequency of the sinusoidaldriving force. The resonance frequencies are obtained and the amplitude ratiois discussed in details. Contrary to a single oscillator, in this two-degree offreedom system four resonant frequencies, which are close to mode frequencies,appear. Within the pass-band interval the system is shown to exhibit a rich andcomplicated behaviour. It is shown that damping crucially affects the systemproperties. Under certain circumstances, the amplitude of the oscillator whichis directly connected to the driving force becomes smaller than the one farfrom it. Particularly we show the existence of a driving frequency at which theconnected oscillator-s amplitude goes zero.



Autor: M. Ebrahim Foulaadvand, Davoud Masoumi

Fuente: https://arxiv.org/







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