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

Y. Khan; Q. Wu; H. Askari; Z. Saadatnia; M. Kalami-Yazdi

doi:10.3390/mca15050974

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Article

31 December 2010

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

and

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.

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

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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

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