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arXiv · 2012.02932

On Periodical Damping Ratio of a Controlled Dynamical System with Parametric Resonances

Xin Xu·Kai Sun
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Abstract

This report provides an interpretation on the periodically varying damping ratio of a dynamical system with direct control of oscillation or vibration damping. The principal parametric resonance of the system and a new type of parametric resonance, named "zero-th order" parametric resonance, are investigated by using the method of multiple scales to find approximate, analytical solutions of the system, which provide an interpretation on such damping variations.

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Xin Xu, Kai Sun. 2020-12-05. On Periodical Damping Ratio of a Controlled Dynamical System with Parametric Resonances. https://arxiv.org/abs/2012.02932

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