Abstract

Goal. To improve the productivity and quality of digging sugar beetroots by substantiating the rational design and kinematic parameters of the vibrating digging working body. Methods. Theoretical research uses methods of higher mathematics, in particular the integration of differential equations, and theoretical mechanics — the basic law of dynamics of a material point. Results. An equivalent scheme of force interaction of a root with working surfaces of vibrating digging working body is made, on the basis of which a new calculated mathematical model of vibration extraction of beetroot from the soil is constructed. The solution of this system of differential equations on the PC made it possible to build the basic graphical relationships between the structural and kinematic parameters of this process. Conclusions. New analytical dependences of velocity and root movement in time in the direction of translational motion of the vibrating digging working body taking into account its constructive and kinematic parameters are obtained. With the help of PC, the dependences of speed and movement of a root in time at its movement upwards in the course of extraction from soil taking into account constructive and kinematic parameters of the vibrating digging working body are constructed. During the calculations, it was found out that the time of extraction of a root from the soil was 0.032 s.

Highlights

  • The use of vibrating digging tools in sugar beet harvesting machines of modern technical level has become widespread

  • Scientific research on the process of vibration digging in order to determine the rational design and kinematic parameters of the vibration of digging tools is an urgent task for the sugar beet industry

  • Fundamental theoretical and experimental studies of vibratory digging of sugar beet roots were published in [1], in which the root crop is modeled as a body having elastic properties and it is represented by a rod of variable cross-section with one fixed end

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Summary

Introduction

The use of vibrating digging tools in sugar beet harvesting machines of modern technical level has become widespread. This is due to their much lower traction resistance, the ability to extract the root crops from the soil virtually without damage and losses. The stuck soil is intensively shaken from the surface of the root crops, that is, their intensive cleaning occurs even during the extraction from the soil All this ensures a high quality level of sugar beet harvesting. Scientific research on the process of vibration digging in order to determine the rational design and kinematic parameters of the vibration of digging tools is an urgent task for the sugar beet industry. Scientific research devoted to the substantiation of rational design and kinematic parameters of the vibrating excavating working body, remains relevant today

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