由电磁力激发的电机参数振动的分岔研究

将机械振动，非线性动力学与电机瞬变理论，电磁场理论的交叉课题相结合，建立了电机转子横向振动的非线性微分方程，并将方程约化为在参数激励作用下单自由度非线性动力系统，从非线性分岔理论的观点，分析机电耦联动力系统的特性是电机领域研究的焦点，研究了由电磁力激发的参数振动非线性系统的分岔问题，给出系统的分岔转迁集和分岔响应曲线，揭示了各种电磁参数及机械参数对共振的影响，得到了有价值的结果，可对实际电机系统的参数设计，稳定运行和故障诊断提供一定的理论依据。

Bifurcation Analysis of a Parametrically Excited Motor System

A nonlinerar differential equation is given for the lateral vibration of a rotor system by applying nonlinerar vibration theory, transient theory of motor and electromagnetic field theory. This system excited by electromagnetic forces can be reduced to a one degree of freedom system which is parametrically excited. The transition varieties and bifurcation diagram are obtained using the nonlinear dynamics theory, and the bifurcation behaviors are thoroughly studied. Moreover, the influence of various electromagnetic and mechanical parameters on the stability of the system and the bifurcation point is investigated, and the sensitive parameters of the electromagnetic force and the mechanical structure, whhich cause resonance, are found. The results are useful for dynamic parameter design, fault diagnosis and stable operation of a real motor system.