Harmonic Vibration Synchronization Analysis of the Double Motors Based on Equivalent Control Synchronization Strategy

Abstract

Based on the Lagrange equations, and aimed to the harmonic vibration synchronization problem of the nonlinear vibration machine that driven by double motors, the electromechanical coupling dynamic model of the nonlinear vibration system that driven by double motors had been established in the paper, and harmonic vibration response functions of the nonlinear vibration machine had been deduced also. Based on the equivalent control strategy and the state space equations of the speed difference and phase difference for the double motors that deduced in the paper, the harmonic vibration synchronization control strategy had been established. And based on the sliding surface reaching conditions, the harmonic vibration control synchronization movement law of the double motors had been discussed also. By the simulation experiment, the effectiveness and applicability of the harmonic vibration equivalent control synchronous strategy that established in the paper had been verified. All the research result in the paper can used to be one of an effective control strategy to solve the harmonic vibration synchronization movement problem of the nonlinear vibration machine that driven by dual-motor or multi-motor.