A theoretical description of the motion of the caryopsis segment in the channel of the working body of the proposed feed grain shredder with curved cutting elements is presented. A system of differential equations is proposed that determines the required value of the channel necessary and sufficient to rotate the caryopsis segment by the cut plane to the cutting plane. According to the results of numerical solution of the presented system of differential equations, graphic dependences for peas and wheat are obtained, confirming the hypothesis that the caryopsis or segment is rotated by a long axis to the cutting zone in a very small period of time with a slight movement through the channels of the feed grain shredder. This gives us the right to conclude that the cutting of the segment of the caryopsis by the next stage of the working bodies of the proposed feed grain shredder occurs along the plane of the previous cut. Grinding of caryopsis of fodder crops and their segments occurs first of all across the smallest section and thereby the energy intensity of process of grain crops grinding on the average decreases by 11,9 %, and productivity of the shredder with cutting elements of the curvilinear form increases by 10,7 %.
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