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arXiv · 1811.02953

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

Jarrett L. Lancaster
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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.

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Jarrett L. Lancaster. 2018-11-07. Slow-dissipation limit of the harmonic oscillator with general power-law damping. https://doi.org/10.1119/10.0001794

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