Modeling the dynamics of moving bulk material on the cone disk that rotates

Abstract

The article is devoted to the problem of modeling the constructional and technological parameters of a conical rotary disc-feeder-mixer for bulk components for the preparation of a homogeneous feed mixture, in particular, mixed fodders. A scheme is developed for the forces acting on the particle as it moves along the surface of the rotating cone disk. An elementary particle is considered as a material point and a differential equation of motion in vector form. A feature of the mathematical model is the adoption of a coordinate system fixed. The origin of the coordinate system coincides with the vertex of the cone disk. The X axis coincides with the generator of the disk cone, the Y axis directed perpendicular to the cone generator and in the direction of rotation. A system of differential equations that characterizes the dynamics of the movement of a particulate material on the surface of a conical rotary disk, taking into account the decomposed friction force perpendicular to the X and Y axes and the dynamics of frictional force variation, depending on the location of the material particle on the surface of the cone disk. The solution of the differential equation of motion of the particle is numerically determined and allows to simulate the movement of dispersed material over the surface of the cone rotary disk of the feeder-mixer of loose feed components depending on the angular velocity of rotation of the conical disk, the angle of the cone forming and the material characteristics of the particle.