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.

Synthesizing a resonance anti-phase two-mass vibratory machine whose operation is based on the Sommerfeld effect

“…It is known that the two-mass vibratory machine, in contrast to a single-mass one, has an anti-resonance mode of oscillations under which the platforms' oscillations are almost not transferred to the foundation [3][4][5]. Significantly, the anti-resonance regime is implemented in a wide region of the parameters of the vibratory machine [3].…”

“…Significantly, the anti-resonance regime is implemented in a wide region of the parameters of the vibratory machine [3]. At the same time, the region of the existence of an anti-resonance regime [4], as well as the frequency of platform oscillations [5], are less dependent on the mass of the load. Under an anti-resonance mode, the working body oscillates at a significant amplitude while the platform oscillates at a minimum amplitude.…”

“…Vibratory machines can be single-and multi-mass. It should be noted that multi-mass vibratory machines possess a series of advantages over single-mass ones [3][4][5][6][7][8][9][10][11]. Thus, a multi-mass structure makes it possible to design vibratory machines that almost do not transmit vibrations to the foundation.…”

Experimental and theoretical investigation on synchronization of a vibration system flexibly driven by two motors

“…proposed that the vibrating system in some nonlinear vibration systems can realize the frequency doubling synchronization and frequency reduction synchronization of the subharmonics. 12–15 “Center of force theory” and “non-diameter plot to follow self-synchronization and synchronization status stability theory” were put forward by Zhang et al. ; 16 these theories can overcome shale shaker phenomena, such as screen blinding, screen paste, and horseshoe effect.…”

Theoretical and experimental investigation on controlled synchronization of four co-rotating coupled exciters driven by induction motors in a vibrating system

“…Meanwhile, a variety of vibrating machines were invented by utilizing self-synchronization theory and have been extensively used in numerous industrial fields, such as coal mining, sludge dewatering, conveying, crushing, grinding, etc. 8–13…”