Table of Contents
Chinese Journal of Mathematics
Volume 2013, Article ID 237370, 4 pages
Research Article

Dynamic Analysis of Rotating Pendulum by Hamiltonian Approach

Department of Mathematical Sciences, University of Karachi, Karachi 75270, Pakistan

Received 25 July 2013; Accepted 24 August 2013

Academic Editors: B.-Q. Dong, Z. Han, Z. Shi, and Z. Wang

Copyright © 2013 Najeeb Alam Khan et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A conservative system always admits Hamiltonian invariant, which is kept unchanged during oscillation. This property is used to obtain the approximate frequency-amplitude relationship of the governing equation with sinusoidal nonlinearity. Here, we applied Hamiltonian approach to obtain natural frequency of the nonlinear rotating pendulum. The problem has been solved without series approximation and other restrictive assumptions. Numerical simulations are then conducted to prove the efficiency of the suggested technique.