The theoretical description of the movement of grain particles in the sieve drum

At the present time there is the problem of the development of the grain cleaner, which is capable to clean raw material from all impurities in a single operation and at the same time to bring most of the main grain (70-80%) to the basic condition. A centrifugal cascade sieve separator can be used as such a grain cleaner. The article considers the movement of the grain material in the sieve drum. The particle of grain material is done in the form of a cylinder with a certain radius and ground. The sieve drum is tilted at an angle α = 7º to the horizontal. The movement of cylindrical particles is described by Lagrange equations of the second kind. The kinetic energy of the movement and the moment of inertia of the cylinder are calculated. A nonlinear system of differential equations is obtained, which is integrated numerically in the MATHCAD. We derive graphs of coordinates and velocities of grain material, with a radius equal to 0.202 m.