The dynamics of a resonance single-mass vibratory machine with a vibration exciter of targeted action that operates on the Sommerfeld effect

This paper reports a study into the dynamics of vibratory machine composed viscoelastically-fixed platform that can move vertically and two identical inertial vibration exciters. The exciters' bodies rotate at same angular velocities in opposite directions. host single load form ball, roller, or pendulum. loads' centers mass relative to circle with center on axis rotation. movements are hindered by forces viscous resistance. It was established theoretically possesses following: – one three oscillatory modes movement under which loads get stuck almost constant velocity generate total unbalanced vertical direction only; no-oscillation mode synchronously horizontal only. At time, only is resonant exists above-the-resonance speeds body rotation, lower than some characteristic speed. bodies' rotation speeds: ‒ pre-resonant; there globally asymptotically stable (the existing) jams; above-the-resonance, velocity; locally regimes both resonance no-oscillations mode; exceeding velocity: mode. Computational experiments have confirmed results theoretical research. it additionally would suffice, enter movement, slowly accelerate exciters speed, less reported here could be interesting for theory practice designing new machines