Design method of dynamic parameters of a self-synchronization vibrating system with dual mass

Abstract

This paper presents a design method of dynamic parameters for the self-synchronization vibrating conveyor with two exciters. The dimensionless coupling equations of the two exciters are derived by using the average method of modified small parameters and the synchronization and stability criteria are deduced from the existence and stability conditions of the dimensionless coupling equations. The two exciters loading coefficient is a periodic function of the phase difference between the two exciters and the extreme point of synchronization is either the minimum or maximum point of the two exciters loading coefficient. There are two ridges in the three-dimensional graphs of the characteristic amplitude and the force transmission coefficient on the plane of the two design frequency ratios, respectively. One ridge of both the characteristic amplitude and the force transmission coefficient is distributed along the curve segment of the one natural frequency ratio in the direction of the working mass frequency ratio approaching to zero, but the other ridge of the characteristic amplitude and that of the force transmission coefficient go along the curve segments of the other natural frequency ratio in the directions that the isolation mass frequency ratio and the working mass frequency ratio approach to infinity, respectively. The design procedure of the dynamic parameters is proposed by numerically and experimentally discussing the effects of the dynamic parameters on the performance parameters of vibrating system. A design example of the vibrating conveyor is given to verify the effectiveness of the proposed design method.