Dynamics of a Vibrating Feeder at Combinational Parametric Resonance

The dynamics of a vibrating feeder at Raman parametric resonance are studied. Mathematical and dynamic models of a vibrating feeder with a parametric vibration exciter are given. Stationary solutions are obtained by the averaging method, taking dissipative forces, nonlinear components of restoring forces, and resistance forces as small parameters. The amplitude–frequency and phase–frequency characteristics of the feeder and the dependences of the generation frequencies are plotted. The trajectory of the center of mass of spherical rolling elements relative to the axis of rotation of the vibration exciter is obtained.