Mathematical simulation of rotor tool technological process

Abstract

Here we present theoretical research of rotor tool technological process for fertilizer spreading. To enhance the quality of fertilizer spreading by rotor spreaders we suggest using multi-bladed rotor tools. In theoretical research, the functioning of suggested multi-bladed rotor tools is described step-by-step: fertilizer capture by rotor blades from the row; fertilizer movement along the blades and free throw of the fertilizer particles and their distribution over the fields’ surfaces. Equations are received to determine fertilizer relative amount coming on every rotor blade row. Basing on the scheme of forces acting on a particle during its movement along a rotor blade, we receive differential equations of motion. Taking into account the possibility to install the blades at different angles relative to radial position, equations to calculate absolute velocity and angle of fertilizer exit from the blade were deduced. Free flight of fertilizer particles with air forces acting on them has been studied; and differential equations describing this process have been deduced. The method to solve these equations has been suggested. Algorithm of mathematical program functioning is described in the conclusion of the article. This mathematical scheme is designed with the help of common program Maple 7.