Self-Synchronization of an Inertial Vibro-Exciter in Two-Mass Vibromachines with an Additional Elastic Element Installed with a Gap

The dynamics of a model of technological vibrating machines made according to the scheme of a two-mass chain oscillatory system with an additional nonlinear elastic element like a vibration limiter, installed with a gap between the moving bodies of the system, are considered. Two self-synchronizing inertial vibration exciters (rigidly fixed on the working body) provide the vibration excitation of the machine. We investigate the self-synchronization of a vibro-exciter and the vibrating machine oscillations near its eigenfrequencies under a slowly varying mass of the processed material. We establish that introduction of a substantially nonlinear elastic element into the oscillatory system contributes to a significant expansion of the frequency domain near the second resonant frequency where the synchronous antiphase rotation of the vibro-exciter takes place. Within this frequency domain, excitement of the body oscillations of the working of the machine is provided with higher amplitudes, and the sensitivity of the oscillation amplitude to the mass variation of the processed material decreases.