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arXiv · 1712.01032

Resonance oscillation of a damped driven simple pendulum

D. Kharkongor·Mangal C. Mahato
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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.

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D. Kharkongor, Mangal C. Mahato. 2017-12-04. Resonance oscillation of a damped driven simple pendulum. https://doi.org/10.1088/1361-6404/aadaf0

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