Synchronization and stability of a far-resonant vibrating system with three rollers driven by two vibrators

As a continuing and intensive work of the previous literature, the synchronization and stability of a far-resonant vibrating system with three rollers and two vibrators, will be given in this paper. The criterion of implementing synchronization for two vibrators and three rollers, is obtained in theory firstly, by constructing mathematical models of the system and using the average method. The stability criterion of the synchronous states is proved to comply with the Routh-Hurwitz principle. In numerical qualitative analyses, the coupling dynamic characteristics of the system are revealed in detail, by considering the effects of key parameters of the system, including structural parameters, friction coefficients, mass ratio and distance ratio coefficients. An experiment is carried out to further verify the validity of the theoretical and numerical results, as well as the feasibility of the theory method used. It is shown that the ideal stability effect can be reached, under the preconditions of matching reasonably a certain kind of parameters of the system. These facts can provide the theory guidance for designing some new types of vibrating crushing/grinding equipment with multiple working chambers, etc. (C) 2020 Elsevier Inc. All rights reserved.

Automated summary

This paper investigates the synchronization and stability of a far-resonant vibrating system, providing criteria for synchronization and proving that the stability of synchronous states complies with the Routh-Hurwitz principle. Numerical analysis reveals the coupling dynamic characteristics of the system, showing that ideal stability can be achieved with proper parameter matching.