Resonance oscillation of a damped driven simple pendulum
Abstract
The resonance characteristics of a driven damped harmonic oscillator are well known. Unlike harmonic oscillators which are guided by parabolic potentials, a simple pendulum oscillates under sinusoidal potentials. The problem of an undamped pendulum has been investigated to a great extent. However, the resonance characteristics of a driven damped pendulum have not been re- ported so far due to the difficulty in solving the problem analytically. In the present work we report the resonance characteristics of a driven damped pendulum calculated numerically. The results are compared with the resonance characteristics of a damped driven harmonic oscillator. The work can be of pedagogic interest too as it reveals the richness of driven damped motion of a simple pendulum in comparison to and how strikingly it differs from the motion of a driven damped harmonic oscillator. We confine our work only to the nonchaotic regime of pendulum motion.
Cite
@article{arxiv.1712.01032,
title = {Resonance oscillation of a damped driven simple pendulum},
author = {D. Kharkongor and Mangal C. Mahato},
journal= {arXiv preprint arXiv:1712.01032},
year = {2018}
}
Comments
18 pages, 9 figures