Vibratory synchronization transmission of two cylindrical rollers in a super-resonant vibrating system with symmetrical structure

In this paper, vibratory synchronization transmission of two cylindrical rollers (CRs) with dry friction in a vibrating system excited by two co-rotating exciters is investigated. By virtue of the averaging method of modified small parameters, the synchronization criterion for two exciters and the criterion of vibratory synchronization transmission for two cylindrical rollers are obtained. The stability criterion of synchronous state is acquired based on the Routh–Hurwitz criterion. The effects of system parameters on the ability of synchronization, vibratory synchronization transmission and stability, are quantitatively discussed, which provide a theoretical basis for the project design. Finally, an experiment on a corresponding vibratory synchronization transmission bench is performed to examine the results of the theoretical analysis and numerical discussion. Experimental results will show good agreement with the numerical results. In engineering, certain types of vibratory crusher or vibratory mill can be developed according to the vibratory synchronization transmission theory of two cylindrical rollers.