Resonance oscillation of a damped driven simple pendulum
arXiv:1712.01032 · doi:10.1088/1361-6404/aadaf0
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.
arXiv comment18 pages, 9 figures
References in corpus (4)
- An accurate formula for the period of a simple pendulum oscillating beyond the small-angle regime
- Stochastic Resonance in Periodic Potentials
- An Approximate Expression for the Large Angle Period of a Simple Pendulum
- Particle dynamics in a symmetrically driven underdamped inhomogeneous periodic potential system