Spatial synchronization of unbalanced rotors excited with paralleled and counterrotating motors in a far resonance system

Dynamic characteristics of the vibration screening machinery is influenced by synchronization between induction motors. Therefore, estimating the synchronous state between the motors is a crucial process for designing the vibration screening machinery. In this paper, two rotors excited with paralleled and counterrotating motors in a far resonance system are concerned. To master the synchronization of the system, the dynamic model is firstly established; then, the synchronous condition of the system is derived with the Poincar´e method; subsequently, the synchronous stability of the system is discussed by the Hamilton principle; finally, some computation simulations are implemented to verify correctness of theoretical analysis. The research result shows that the system actuated by rotors of the identical mass is planar motion as the stable phase difference between the rotors is stabilized in the zero phase. The system actuated by nonequivalent mass rotors exhibits spatial motion as the stable phase difference stabilizes in a nonzero phase.