Volume 10 Issue 1
Nonlinear Vibration Analysis of a Rigid Rod on a Circular Surface via Hamiltonian Approach
Y. Khan,Q. Wu,H. Askari,Z. Saadatnia andM. Kalami-Yazdi
1Department of Mathematics, Zhejiang University, Hangzhou 310027, China
2School of Railway Engineering, Iran University of Science and Technology, Tehran, Iran
3Center of Excellence in Experimental Solid Mechanics and Dynamics, School of Mechanical Engineering, Iran University of Science and Technology, Narmak, Tehran, 16846, Iran
*Author to whom correspondence should be addressed.
Abstract
This paper applies the Hamiltonian approach a nonlinear oscillator of a rigid rod on a circular surface without slipping, and its natural frequency is obtained. Comparison of the obtained result with the exact one shows good agreement even for large amplitudes and strong nonlinearities.
Keywords: Hamiltonian approach; nonlinear vibration