Self-synchronization theory of a dual mass vibrating system driven by two coupled exciters. Part 1: Theoretical analysis

A vibration model is proposed and analyzed dynamically to study the selfsynchronization theory of dual-mass vibration system. The differential equations of systematic motion are derived by applying Lagrange’s equations. As two uncertain parameters, the coefficients of instantaneous change of average angular velocity and the phase difference of two exciters are introduced to derive the coupling equations of angular velocity of the two exciters. The conditions of synchronous implementation and stability are derived by utilizing the modified small parameter average method treated as non-dimension to the parameters. The swing of the vibration model plays a major role in the self-synchronization of two motors. The mass ratio of two eccentric blocks has an effect on the stability of synchronous operation.