Theoretical Description of the Motion of Soybean Seeds in Coaxially Positioned Cylinders

Abstract

The work is aimed at studying the process of moving a single particle of bulk material in the vertical direction by a spiral-screw working tool of the conveyor and substantiating its technical characteristics. A single particle of granular material is considered the equivalent of a material point. A spiral-screw conveyor is used as a device for moving bulk material. The transportation process is carried out when the device is in a vertical position. The construction of this device implies that the drive of the working tool is located in the lower part, so that during operation the material is moved from the bottom to the top. When determining the parameters of the process of moving bulk material using a conveyor with a spiral-screw working tool, modeling using the d’Alembert equations is applied. These equations describe the steady flow of particles in a cylindrical coordinate system. The applied d’Alembert principle makes it possible to use static methods to solve problems of dynamics. For a mechanical system, you can write the equations of motion in the form of equilibrium equations. Such equations can be used to determine unknown forces, in particular, constraint reactions, as well as conditions acting on a single particle of bulk material being moved by a transport device. The particle, when moving, directly interacts with a complex system that includes: a fixed inner part of the outer casing generatrix; a fixed outer part of the inner cylinder generatrix; a movable spiral-screw working tool with certain geometric parameters (the wire diameter of the spiral, the spiral pitch, the average diameter of waps).