平面单质体非线性振动系统的自同步运动

以反向回转平面单质体非线性振动机为研究对象，采用拉格朗日方法建立了其机电耦合动力学模型.基于该动力学模型以及电机的电磁转矩模型，对系统进行了数值仿真分析，定量研究了振动机在理想工作状态下两电机偏心块重合角不同时以及电机2的供电频率发生改变的情况下两电机及振动质体的同步运动情况.结果表明，当两电机各参数在一定范围内，系统可以实现稳定同步运行.最后，对该振动机在三种工作状态下进行了自同步实验，通过实验结果与仿真结果的对比，证明了仿真计算的准确性.

Self synchronous Motion of a Single Mass Nonlinear Vibrating System

Applying the Lagrange equations， the mechanic electric coupling dynamic model of a single mass nonlinear vibration machine driven by two counter rotating motors was developed. Based on the dynamic model and the electromagnetic torque model of motor， the self synchronization simulation was performed. The synchronous motion of two motors and the vibrating system was quantitatively investigated under the following conditions: when two motors were working under the ideal state; when the overlap angles of two eccentric blocks were different; when the supply frequency of motor 2 was changed. The simulation results show that the vibration system can achieve steadily synchronous motion if the parameters of the vibration system are in specific range. Finally， the self synchronization experiment was carried out under the three working states. A comparison of experimental results with simulation results shows that the numerical simulation is accurate.