| 机电耦联非线性系统的稳定性研究 |
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| 引用本文： | 贾启芬,邱家俊,于雯.机电耦联非线性系统的稳定性研究[J].天津大学学报(英文版),2002,8(3):170-173. |
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| 作者姓名： | 贾启芬 邱家俊 于雯 |
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| 作者单位： | 天津大学机械工程学院,天津,300072 |
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| 基金项目： | SupportedbyNationalNaturalScienceFoundationofChina(No.1 0 0 72 0 38) |
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| 摘 要： | 建立了电机转子机电耦联的非线性数学模型 ,研究了由电磁力激发的参数振动非线性系统的响应曲线 ,揭示了各种电磁参数及机械参数对共振的影响 .结果表明 ,系统在电磁力作用下存在着 1/2亚谐共振的条件 ,电磁力对稳定区域有明显影响 ,且其线性项和非线性项均能激发参数共振 .同时建立了机电耦联问题的电机系统的稳定性条件 ,并得到了参数域中的稳态共振曲线和运动状态 ,所揭示的动力学现象为定性地控制电机的稳定运行状态提供了理论依据
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| 关 键 词： | 机电耦联 非线性振动 1/2亚谐共振 稳定性 |
Stabilities Analysis of Electromechanical Nonlinear Vibration of Electric Machine |
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| JIA Qi-fen,QIU Jia-jun,YU Wen.Stabilities Analysis of Electromechanical Nonlinear Vibration of Electric Machine[J].Transactions of Tianjin University,2002,8(3):170-173. |
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| Authors: | JIA Qi-fen QIU Jia-jun YU Wen |
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| Abstract: | An electromechanical nonlinear model of rotor system of electric machine is built.Respondance curves in parameter excited nonlinear vibration of this system caused by electromagnetic forces are investigated.Further more,the analysis reveals the effects of various electromagnetic and mechanical parameters on resonances, and some valuable results are obtained.The analytical result of this paper provides electric machine with the condition of 1/2 subharmonic resonance under the electromechanical electromagnetic forces.Electromagnetic forces apparently affect the stability zone, and both linear term and nonlinear term can excite parametric resonance.The revealed dynamic phenomena provide some new theories and active methods for the fault recognition of electric machine and the defination of stability range,and the theoretical bases for qualitatively controlling the stable operating state of rotors. |
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| Keywords: | electromechanical system nonlinear vibration 1/2 subharmonic resonance stability |
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