On self-synchronization of inertial vibration exciters in a vibroimpact three-mass system

Abstract

Abstract The dynamics of a vibration machine’s model in the form of a vibroimpact three-mass system with one shock pair, which oscillations are excited by two non-ideal inertial vibration exciters, is considered. The collision of the shock pair elements is modeled on the basis of the classical impact theory. A numerical simulation of the model dynamics at varying the excitation frequency, as well as the parameters of the initial gap and the coefficient of restitution, characterizing the conditions of contact interaction of the machine’s working bodies with the processed material, has been carried out. The influence of these parameters values on the frequency range of stable synchronization of vibration exciters and stable periodic vibroimpact modes of the system motion has been established. It is shown that at the same excitation frequency, a change in these parameters can lead to a change in the periodicity of the vibroimpact mode and the working bodies’ oscillations mode from synchronous-antiphase to practically synchronous-inphase.