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.
Math. Comput. Appl. 2010, 15(5), 974-977; https://doi.org/10.3390/mca15050974
Submission received: 31 December 2010
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Accepted: 31 December 2010
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Published: 31 December 2010
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
Share and Cite
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. https://doi.org/10.3390/mca15050974
AMA 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. Mathematical and Computational Applications. 2010; 15(5):974-977. https://doi.org/10.3390/mca15050974
Chicago/Turabian StyleKhan, Y., Q. Wu, H. Askari, Z. Saadatnia, and M. Kalami-Yazdi. 2010. "Nonlinear Vibration Analysis of a Rigid Rod on a Circular Surface via Hamiltonian Approach" Mathematical and Computational Applications 15, no. 5: 974-977. https://doi.org/10.3390/mca15050974
