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

2020/12/05 by Xu, Xin, Sun, Kai
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.2012.02932

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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