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 be-tween induction motors. Therefore, estimating synchronous state between the motors is a crucial pro-cess for designing the vibration screening machinery. In this paper, two rotors excited with paralleled and counterrotating motors in a far resonance system is concerned. To master the syncronization of the system, the dynamic model is firstly established; then, synchronous condition of the system is de-rived with Poincare 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 the identical mass rotors is a planar motion as the stable phase difference between the rotors stabilizes in zero phase; and the sys-tem actuated by the nonequivalent mass rotors is a spatial motion as the stable phase difference stabi-lizes in nonzero phase.