Modeling of parametrically excited vibrating screen

The dynamic model of a RR-based rectangular vibrating screen is considered as an initially stretched system of two equal masses connected by a linearly elastic spring. Due to the geometric nonlinearity longitudinal oscillations of the masses and lateral oscillations of the spring are coupled. Under certain conditions, when the masses are subjected by a self-equilibrated periodic longitudinal action, the parametric resonance arises which amplitude is bounded by the nonlinearity. The dynamic problem is reduced to a system of two ordinary nonlinear equations. An exact analytical solution is found existing under some conditions. In a general case, the dynamics of this system is considered numerically. The dissipation in this process is estimated. A comparative analysis of the dynamics of conventional and PR-based screeners is presented. Based on the analysis of the model a vibrating screen machine was designed, built and set up in LPMC. The machine operated as predicted.