Non-linear oscillations of a rotor-magnetic bearing system under superharmonic resonance conditions

被引：70
|
作者：
Ji, JC [1 ]
Leung, AYT [1 ]
机构：
[1] City Univ Hong Kong, Dept Bldg & Construct, Kowloon, Hong Kong, Peoples R China
来源：
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS | 2003年 / 38卷 / 06期
关键词：
rotor-magnetic bearing system; rotor dynamics; non-linear response; superharmonic resonance;
D O I：
10.1016/S0020-7462(01)00136-6
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
The effect of non-linear magnetic forces on the non-linear response of the shaft is examined for the case of superharmonic resonance in this paper. It is shown that the steady-state superharmonic periodic solutions lose their stability by either saddle-node or Hopf bifurcations. The system exhibits many typical characteristics of the behavior of non-linear dynamical systems such as multiple coexisting solutions, jump phenomenon, and sensitive dependence on initial conditions. The effects of the feedback gains and imbalance eccentricity on the non-linear response of the system are studied. Finally, numerical simulations are performed to verify the analytical predictions. (C) 2002 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码：829 / 835
页数：7
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