单盘转子的瞬态不平衡动力相应分析

Transient Dynamic Responses of Jeffcott Rotor

建立了Jeffcot转子的瞬态运动方程,采用S imu link程序进行数值仿真,得到转子系统在不同加速度下的瞬态动力响应。就不同加速度下转子系统振动的振幅、相位、进动角速度随时间和转速的变化规律分别作了较详细的讨论,得出了相应的结论。发现转子变速越过临界转速时,振幅、相位和进动角速度均与转子偏心相对于转子挠曲面的位置有关。进动角速度波动的极小值和极大值都对应着响应曲线过临界后波动的极小值。振幅、相位、进动角速度在过临界后的波动频率随转速增加而增加。该仿真结果与试验结论相吻合[4]。

The motion equation of a Jeffcott rotor operating in a transient state is established, and its transient dynamic responses under different accelerations are obtained from simulink programs. The amplitude, phase, procession speed of the rotor system and their change in response to rotational speed and time under different accelerations are discussed. A conclusion is reached that the amplitude, phase and procession speed have correlation with rotor partiality which is relative to the position of the rotor＇s deflection surface when the rotor＇s speed change is larger than critical rotational speed. The minimum and maximum of amplitude fluctuation correspond with the minimum of precession speed after the critical point on the response curve. Simulation results agree with the experimental result.