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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

Department of Mathematics, Zhejiang University, Hangzhou 310027, China
School of Railway Engineering, Iran University of Science and Technology, Tehran, Iran
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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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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