To intensify the grain cleaning process, various types of vibration effects on the working parts of grain cleaning machines are used. Based on literary sources, we have found that the most studied are longitudinal vibrations of flat sieves of grain cleaning machines and their further improvement has exhausted itself. In this regard, the development and creation of effective technical means and devices for grain cleaning continues to the present day. The problem of post-harvest grain processing remains in demand and is of scientific and practical interest. Many researchers resort to using a mathematical model to theoretically describe the technological process of interaction between a layer of loose grain medium and a vibrating sieve surface. Such a model is compiled in the form of a block diagram with input and output parameters, showing their influence on the technological process of grain crops separation. In this article, taking into account our previous theoretical premises, a theoretical consideration is presented in the form of a proposed model for the kinematics of the movement of separated grain on a flat sieve performing transverse vibrations. In describing the movement of separated grain on such a sieve, a number of assumptions were made. In particular, the mass flow rate G (kg/h) is not constant, we consider an elementary layer separated in a moving grain flow, with a thickness of dh, and all the forces acting on the separated layer, etc. Taking into account the adopted assumptions, differential equations were obtained that make it possible to obtain the main qualitative characteristics of the grain material relative movement parameters, as well as the trajectory of movement and the mass center path of the layer under consideration on a flat sieve performing transverse oscillations.
flat sieve, transverse vibrations, motion kinematics, differential equation, separated grain
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