On Periodical Damping Ratio of a Controlled Dynamical System with Parametric Resonances
Dynamical Systems
2020-12-08 v1
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.
Keywords
Cite
@article{arxiv.2012.02932,
title = {On Periodical Damping Ratio of a Controlled Dynamical System with Parametric Resonances},
author = {Xin Xu and Kai Sun},
journal= {arXiv preprint arXiv:2012.02932},
year = {2020}
}
Comments
8 pages, 8 figures