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Math. Comput. Appl. 2010, 15(5), 974-977; doi:10.3390/mca15050974

Nonlinear Vibration Analysis of a Rigid Rod on a Circular Surface via Hamiltonian Approach

1
Department of Mathematics, Zhejiang University, Hangzhou 310027, China
2
School of Railway Engineering, Iran University of Science and Technology, Tehran, Iran
3
Center 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.
Received: 31 December 2010 / Accepted: 31 December 2010 / Published: 31 December 2010
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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 Hamiltonian approach; nonlinear vibration
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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MDPI and ACS Style

Khan, Y.; Wu, Q.; Askari, H.; Saadatnia, Z.; Kalami-Yazdi, M. Nonlinear Vibration Analysis of a Rigid Rod on a Circular Surface via Hamiltonian Approach. Math. Comput. Appl. 2010, 15, 974-977.

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