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

被引：21

作者：

Khan, Y. ^{[1
]}

Wu, Q. ^{[1
]}

Askari, H. ^{[2
]}

Saadatnia, Z. ^{[2
]}

Kalami-Yazdi, M. ^{[3
]}

机构：

[1] Zhejiang Univ, Dept Math, Hangzhou 310027, Zhejiang, Peoples R China

[2] Iran Univ Sci & Technol, Sch Railway Engn, Tehran, Iran

[3] Iran Univ Sci & Technol, Sch Mech Engn, Ctr Excellence Expt Solid Mech & Dynam, Tehran 16846, Iran

来源：

MATHEMATICAL & COMPUTATIONAL APPLICATIONS | 2010年 / 15卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Hamiltonian approach; nonlinear vibration; AMPLITUDE-FREQUENCY FORMULATION; ASYMPTOTIC METHODS; OSCILLATORS; EQUATIONS;

D O I：

10.3390/mca15050974

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：974 / 977

页数：4

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