MATHEMATICAL MODEL OF THE MOVEMENT OF BULK MATERIAL ALONG THE WORKING BODY OF A VIBRATING FEEDER WITH AN ARBITRARY CROSS-SECTIONAL SHAPE

Steel production in converter shops is associated with the consumption of many types of bulk materials, including a significant amount of solid deoxidizers. The use of vibrating feeders with an inertial drive is complicated because they do not provide the necessary accuracy of dosing, especially in cases where the feeder operates in the mode of frequent starts and stops. A mathematical model of a multilayer bulk medium has been developed taking into account the shape of the cross-section of the vibrating feeder tray. The results of solving the system of differential equations are presented. The solution was carried out numerically using the Runge-Kutta method of the 4th order. The corresponding graphs of the dependences of kinematic parameters on time have been constructed. The distribution of speeds along the height of the cross-section is complex and depends on the ratio of various parameters. Modes are observed when the speeds of the upper layers are greater than the lower ones and vice versa.