双机驱动振动系统的定速比控制同步研究

Constant Speed Ratio Controlled Synchronization of a Vibrating System with Two-Motor Drives

针对相同频率激励振动系统不利于筛分多样性物料以及不同频率激励振动系统不能实现任意定速比同步运动的问题,提出了一种双激励振动系统的定速比控制同步方法。利用拉格朗日方程建立反向回转双机驱动振动系统的动力学方程,推导出振动系统定速比响应方程。应用Matlab/Simulink软件设计出模糊比例积分微分(proportional-integral-derivative,简称PID)控制方法,基于主从控制方式设计了定速比控制器,使两激励反向驱动定速比振动系统能够实现控制同步运动。选择定速比参数为1.2和1.5,通过仿真验证了振动系统振动同步不能实现给定的定速比,而控制同步可以实现;通过实验验证了定速比控制同步理论对两激励驱动振动系统的有效性。

Aiming at the problem that the same frequency excitation vibration system is not conducive to screen-ing diverse materials and the vibration system with different frequency cannot realize synchronous motion with arbitrary constant speed ratio,a constant speed ratio controlled synchronization method of double excitation vi-bration system is proposed.The dynamic equation of the vibration system driven by two reverse rotating ma-chines is established by using Lagrange equation,and the response equations of the constant speed ratio of the vi-bration system are deduced.The fuzzy proportional-integral-derivative(PID)controlled method is designed by using Matlab/Simulink,and the constant speed ratio controller is designed based on the master-slave control mode,so that the two excitation reverse drive constant speed ratio vibration system can control the synchronous motion.The constant speed ratio parameters selected in this paper are 1.2 and 1.5,respectively.The simulation results show that the vibration synchronization of vibration system cannot achieve the given constant speed ratio,but the controlled synchronization can be achieved.The effectiveness of constant speed ratio controlled by syn-chronization theory for two excitation driven vibration system is verified by experiments.