paper

Slow-dissipation limit of the harmonic oscillator with general power-law damping

arXiv:1811.02953 · doi:10.1119/10.0001794

Abstract

An approximate solution is presented for simple harmonic motion in the presence of damping by a force which is a general power-law function of the velocity. The approximation is shown to be quite robust, allowing for a simple way to investigate amplitude decay in the presence of general types of weak, nonlinear damping.

6 pages, 3 figures