Response of a strongly non-linear oscillator to narrowband random excitations

被引:7
作者
Rong, HW [1 ]
Meng, G
Wang, XD
Xu, W
Fang, T
机构
[1] Foshan Univ, Dept Math, Foshan 528000, Guang Dong Prov, Peoples R China
[2] Shanghai Jiao Tong Univ, State Key Lab Vibrat Shock & Noise, Shanghai 200030, Peoples R China
[3] Northwestern Polytech Univ, Xian 710072, Peoples R China
基金
中国国家自然科学基金;
关键词
D O I
10.1016/S0022-460X(02)01377-9
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
The principal resonance of a van der Pol-Duffing oscillator subject to narrowband random excitations has been studied. By introducing a new expansion parameter epsilon = epsilon((epsilon) over bar, mu(0)) the method of multiple scales is adapted for the strongly non-linear system. The behavior of steady state responses, together with their stability, and the effects of system damping and the detuning, and magnitude of the random excitation on steady state responses are analyzed in detail. Theoretical analyses are verified by some numerical results. It is found that when the random noise intensity increases, the steady state solution may change form a limit cycle to a diffused limit cycle, and the system may have two different stable steady state solutions for the same excitation under certain conditions. The results obtained for the strongly non-linear oscillator complement previous results in the literature for weakly non-linear systems. (C) 2003 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码:875 / 887
页数:13
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