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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NONLINEAR VIBRATION ANALYSIS OF A RIGID ROD ON A CIRCULAR SURFACE VIA HAMILTONIAN APPROACH

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NONLINEAR VIBRATION ANALYSIS OF A RIGID ROD ON A CIRCULAR SURFACE VIA HAMILTONIAN APPROACH

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

MATHEMATICAL & COMPUTATIONAL APPLICATIONS, Vol.15(5), pp.974-977

01/01/2010

DOI: https://doi.org/10.3390/mca15050974

Abstract

Mathematics

Mathematics, Interdisciplinary Applications

Physical Sciences

Science & Technology

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.

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Title: NONLINEAR VIBRATION ANALYSIS OF A RIGID ROD ON A CIRCULAR SURFACE VIA HAMILTONIAN APPROACH
Creators - without role: Y. Khan - Zhejiang University
Q. Wu - Zhejiang University
H. Askari - Iran University of Science and Technology
Z. Saadatnia - Iran University of Science and Technology
M. Kalami-Yazdi - Iran University of Science and Technology
Publication Details: MATHEMATICAL & COMPUTATIONAL APPLICATIONS, Vol.15(5), pp.974-977
Publisher: ASSOC SCI RES
Number of pages: 4
Grant note: 10871178 / National Natural Science Foundation of China; National Natural Science Foundation of China (NSFC) 2008C01048-3 / Foundation of Science and Technology Department of Zhejiang Province
Identifiers: 9914398508331
Academic Unit: Hafr Albatin University
Language: English
Resource Type: Journal article