电磁力作用下发电机定子端部绕组的两自由度主共振

对压板松动时大型汽轮发电机定子端部单根绕组的两自由度主共振问题进行了研究．在给出定子端部绕组区域磁感应强度表达式、绕组所受电磁力以及与松动压板间摩擦力计算式的基础上，建立了研究绕组非线性电磁振动的力学分析模型．采用多尺度法对两自由度主、内共振问题进行求解，得到了稳态运动下的幅频响应方程和解的稳定性判定条件．通过算例，得到了反应系统跳跃现象和软硬特性的幅频响应曲线图，以及响应图、相图、Poincare映射图和频谱图，并阐述了系统可能存在的周期运动和锁模现象。

TWO-DEGREE-OF-FREEDOM PRINCIPAL RESONANCE AND BIFURCATION OF GENERATOR END WINDING UNDER ELECTROMAGNETIC FORCE AND FRICTION FORCE

Two degree of freedom principal resonance of generator end winding is studied when the clamping plates are loose. Based on the given expression of end magnetic induction, electromagnetic force on the winding and friction force between the loose clamping plates, a mechanical model of nonlinear electromagnetic vibration of the winding is developed. The prinipal and internal resonance of two degree of freedom system is solved by the multiscale method. The amplitude and frequency resonance equations in steady state and stability criterions of the solution are derived. Through an example, we also studied stability, bifurcation and singularity of the steady solution. The amplitude and frequency resonance which reflects the jumping phenomenon, the hard or soft property of the system, as well as the resonance curves, phase diagram, Poincare map diagram and phase and amplitude diagram are obtained. Finally, the periodic motion and the fixed phase phenomenon are discussed.