Vibratory synchronization transmission (VST) is a kind of special physical phenomenon in inertia vibra-tion mechanical systems.For an inertia vibration mechanical system driven by one pair of motors runs in step,even the power supply of one motor is cut off,the motor can continue to keep rotating state under the vibration exciting of the machine body driven by only one other motor.And its rotating frequency will be the same as that of the other one.The transient process of this wonderful physical phenomenon has not been described quantitatively according to current-existing mechanical models.On the basis of investigation of the engineering characteristics of VST,a mechanical and electrical coupling mathematical model of a two-shaft inertia vibration machine is established.With this model,the transient process of VST is recurred quantitatively and successfully,and a reasonable explana-tion is given.
