摘要
建立机电耦联非线性电机模型的数学方程。利用非线性振动理论中的非固定参数的渐近法 ,研究由电磁力激发的参数激励、强迫激励联合作用下非线性振动系统的动力学特性 ,由理论分析、数值计算得到系统的分岔转迁集和四种分岔响应曲线。在实验的基础上揭示各种电磁参数及机械参数对主参数共振的振幅、运动稳定性及共振曲线的拓扑结构的影响 ,同时显示系统的运动状态及其稳定域 ,分析结果为有效地控制电机的稳定运行提供依据。
The mathematical equations of a model of high-dimensional electromechanical nonlinear electric machine are derived. Dynamic characteristics of the nonlinear vibration system under combined parametric and forced excitations due to electromagnetic forces are investigated by the asymptotic method of parameter in nonlinear vibration theory. The transition sets and four kinds of bifurcation response curves of the system are obtained through theoretical analysis, numerical calculation and experimental research. Further the effects of various electromagnetic and mechanical parameters to primary parametric resonance, operating stability and topologic structure of resonance curves are revealed. And the steady state motion and its stable zone of the system are showed audiovisually. The analytical results are helpful for effectively controlling the stable operating state of the electric machine.
出处
《机械强度》
CAS
CSCD
北大核心
2003年第6期624-627,共4页
Journal of Mechanical Strength
基金
国家自然科学基金资助项目 (1 0 0 72 0 38)~~
关键词
机电耦联
非线性振动
分岔
参数激励
强迫激励
共振
Electromechanical system
Nonlinear vibration
Bifurcation
1/2 subharmonic resonance-primary parametric resonance
