Calculating Hopf bifurcation point of a nonlinear rotor-bearing system

被引：0
|
作者：
Zhang, Xin-jiang [1 ]
Xia, Song-bo [1 ]
Wu, Xin-hua [1 ]
Han, Wan-jin [1 ]
机构：
[1] Harbin Inst of Technology, Harbin, China
来源：
Tuijin Jishu/Journal of Propulsion Technology | 2000年 / 21卷 / 04期
关键词：
Bearings (machine parts) - Bifurcation (mathematics) - Computer simulation - Mathematical models - Nonlinear equations - System stability;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Considering the characteristics of a nonlinear rotor-bearing system, the extended equation method was presented. In order to obtain the system Hopf bifurcation point under conditions of determined solution accurately, the constrained equations to the rigid Jeffcott rotor system based on the long-bearing model was added and the singularity of system bifurcation was eliminated. At the same time, the system was tested by means of numerical simulation. The result shows that this method can determine the Hopf bifurcation point of a nonlinear rotor-bearing system effectively. And the theoretical foundation of qualitative control for the stable operating state of rotors is provided.
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页码：57 / 59
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