Mathematical model of interaction between share working body and beet root during vibrational digging
2021
Bulgakov, V., National Univ. of Life and Environmental Sciences of Ukraine, Kiev (Ukraine) | Ivanovs, S., Latvia Univ. of Life Sciences and Technologies, Jelgava (Latvia) | Holovach, I., National Univ. of Life and Environmental Sciences of Ukraine, Kiev (Ukraine) | Ihnatiev, Ye., Tavria State Agrotechnological Univ., Melitopol, Zaporizhia reg. (Ukraine)
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.
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