Self-Synchronization Theory of Circular Symmetrical Four Motors

Abstract The synchronization characteristics of the circularly symmetrical four-vibrators vibration system are studied. Firstly, the dynamic model of this type of vibration system is established, and the Lagrange equation is used to derive the differential equation of motion. Secondly, the steady-state solution of the vibration system is obtained by averaging the phase of the eccentric rotor of the four exciters in the vibration system, and Hami is used. The frame principle deduces the synchronization conditions and stability conditions for the four vibration exciters of this type of vibration system to achieve synchronous motion. Finally, the correctness of the theoretical analysis is verified by numerical simulation. The relevant research results can provide a theoretical basis for the design of the circularly symmetrical four-vibrators vibration machine.