Mathematical model of interaction between share working body and beet root during vibrational digging

Abstract

Increasing the yield and quality of harvesting sugar beet by a vibrational digging tool is an urgent problem in the field of beet growing. As a result of the performed research an equivalent diagram of the force interaction of the beet root with the working surfaces of the vibrational digging tool was drawn up, and a new computational mathematical model of vibrational extraction of the beet root from the soil was built. The solution of the obtained system of differential equations on a PC made it possible to construct the main graphic dependencies between the design and the kinematic parameters of a particular technological process. As a result, new analytical dependences of the motion of the root crop in time in the direction of the forward movement of the vibrational digging tool were obtained, taking into account its design and kinematic parameters. With the help of the PC, the dependences of the movement of the root crop in time were constructed, when it moves vertically upwards during the process of complete extraction from the soil, also taking into account the specified parameters of the digging tool. Calculations showed that the time for complete extraction of the beet roots from the soil is 0.032 s, which is essential for compliance with the conditions for the high-quality implementation of this process and high efficiency. The subsequent experimental investigations confirmed the achievement of the taken research goal.

Untitled

“…However, in most designs, cleaning forces are applied to the heads of root crops from one side, which, given the current trend towards increasing the speed of translational movement, does not always lead to high-quality cleaning. The creation of theoretical foundations for mechanical combing and crushing of the residual tops from sugar beet root heads on the root were thoroughly studied by V. Martynenko (1997), V. Martynenko & B. Kucher (2002) and V. Bulgakov et al (2021b). They developed the fundamental scientific basis for removing top residues from root crop heads utilizing milling, shaft cutting, impact on the residues, as well as the use of a cleaner with blades mounted on a vertical drive shaft (such as a daisy).…”

Experimental studies of the quality of root crop heads residue cleaning using a new cleaner

“…However, in most designs, cleaning forces are applied to the heads of root crops from one side, which, given the current trend towards increasing the speed of translational movement, does not always lead to high-quality cleaning. The creation of theoretical foundations for mechanical combing and crushing of the residual tops from sugar beet root heads on the root were thoroughly studied by V. Martynenko (1997), V. Martynenko & B. Kucher (2002) and V. Bulgakov et al (2021b). They developed the fundamental scientific basis for removing top residues from root crop heads utilizing milling, shaft cutting, impact on the residues, as well as the use of a cleaner with blades mounted on a vertical drive shaft (such as a daisy).…”

Experimental studies of the two-shaft cleaner of the heads of root crops

“…Результати досліджень та їх обговорення. Під час проведення експериментальних досліджень використано загальноприйняті й розроблені часткові методики [1, 5,7].…”