Theoretical Research of the Impact of the Digging-Out Working Tool on the Beetroot During the Vibrational Digging up from the Soil

  • V. Bulgakov -
  • I. Golovach -
  • V. Adamchuk -
Keywords: beetroot, digging out, impact impulse, frequency, amplitude

Abstract

Aim. The elaboration of the theory of the impact of the vibrational digging-out working tool on the body of the beetroot, attached to the soil, and the substantiation of the rational kinematic and constructive parameters of the advanced vibrational digging-out working tool on the basis of the results obtained. Methods. The main provisions of advanced mathematics and theoretical mechanics were used, in particular, the general theory of mechanical impact and the oscillation theory. The equation systems obtained were solved using PC and the elaborated programme. Results. The main provisions of the theory of the impact of the digging-out working tool on the beetroot while extracting the latter from the soil were elaborated. The mathematical model of the impact interaction of the digging-out working tool and the body of the beetroot, attached to the soil, during the vibrational digging-out of sugar beets was created. The equations, describing the mentioned process, were used as a basis for the impact impulse and the impact force; the conditions of not damaging the beetroot during the impact were established. The analytic expression for the determination of the allowed frequency of vibra- tions of the working vibrational digging-out tool with the consideration of its constructive parameters and the translational motion was obtained. The estimates, obtained using PC calculations, allow designing advanced working vibrational digging-out tools to harvest sugar beets, taking the condition of avoiding damage to the root into account. Conclusions. The analytic expression for the determination of the allowed frequency of vibrations of the vibrational digging-out working tool, taking into account its constructive parameters and the translational motion, was obtained taking the condition of avoiding damage to the root into consideration. The algorithm and the PC analysis programme for the allowed frequency of oscillations of the vibrational digging- out working tool with the consideration of no damage to the beetroot during the impact interaction were elabo- rated. Numerous PC estimates demonstrated that on condition of the mentioned weight of the working tool of m = 1.0 kg the allowed frequency, at which there is no damage to the beetroot, should not exceed v = 10.0 hertz (with the oscillation amplitude of a = 0.015 m and the maximum depth of the digging-out working tool in the soil of h = 0.1 m). Here the translational motion should be in the range of 1.3 ... 2.2 m/s. The obtained results of the theoretical research allow designing advanced vibrational digging-out working tools to harvest sugar beets without damaging them.
Published
2015-07-15
How to Cite
Bulgakov, V., Golovach, I., & Adamchuk, V. (2015). Theoretical Research of the Impact of the Digging-Out Working Tool on the Beetroot During the Vibrational Digging up from the Soil. Agricultural Science and Practice, 2(2), 9-20. https://doi.org/10.15407/agrisp2.02.009