Stability of Synchronous Operation of Vibrating System Driven by Two Motors

To investigate the stability of synchronous operation of a vibrating system driven by two motors,a dynamic model is developed for the system that was analyzed nonlinearly and dynamically.Making the parameters of the system dimensionless,the frequency trapping equations of the vibrating system and the conditions for implementing stable self-synchronous operation are both obtained,thus computing the stability region of self-synchronous operation.Then,the design of such a vibrating system is optimized on the basis of the conditions and stability region as above so as to readjust the parameters of the vibrating system.The simulation results showed that the synchronization of vibrating system comes true in either speed or phase to enable the system to be in a good self-synchronous state.The correctness of the conditions for stability and stability region of self-synchronous operation and the effectiveness of the optimized design are therefore verified.