Abstract
In grain harvesters there is an interaction of a moving particle with a rough surface of enclosing casings of various cylindrical forms. Establishing the patterns of particle motion on the rough surface of the cylinder allows you to calculate the structural and kinematic parameters of the enclosing casings. In order to rationally move or separate bulk material, it is necessary to take into account a significant number of design and technological factors, which is extremely difficult to do without computer analysis. Computer technology allows to solve the problem of modeling the motion of a particle on a rough cylindrical surface, completely eliminate time-consuming analytical transformations to form the law of its motion, and leave only the interactive computational experiment. The purpose of the study is to develop a Maple-model of particle motion in an involute cylinder. The parametric equation of the uv-coordinate grid of a horizontal cylinder with an orthogonal cross section of the involute of a circle with an upward convexity is obtained. This made it possible to obtain the laws of motion of the particle in the projections on the horts. As a result of modeling, the trajectory-kinematic properties of particle motion on a fixed rough surface of an involute cylinder are established. Computational experiments have shown that to reduce crop losses, the upper casings of the combing reapers in the form of an involute cylinder must be divided into separate sections, because the grains thrown by the combing beater at an angle to the rectilinear cylindrical surfaces can break away from them.
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