
Analytical determination of speed coefficient in the formula of V.P. Goryachkin for plow resistance
Author(s) -
Vladimir V. Vasilenko,
Sergey V. Vasilenko
Publication year - 2021
Publication title -
iop conference series. earth and environmental science
Language(s) - English
Resource type - Journals
eISSN - 1755-1307
pISSN - 1755-1315
DOI - 10.1088/1755-1315/659/1/012082
Subject(s) - plough , traction (geology) , mathematics , tractor , tillage , power (physics) , mathematical analysis , mechanics , geometry , engineering , physics , mechanical engineering , thermodynamics , ecology , agronomy , biology
For almost all tillage implements traction resistance is calculated by the rational formula of academician V. P. Goryachkin with possible refinements of incoming parameters in accordance with the design of working bodies or operating conditions. The rational formula includes three coefficients associated with the unstable properties of the soil and the variable form of the working bodies. For this reason, the coefficients may not be the same for all tool designs and soil types. Each coefficient contributes an element of uncertainty to its ccomponent of the formula. The third component of the formula with a speed coefficient determines the part of the tractive effort to push back and turn the soil layers. The article calculates the power required for both of these actions of the working body. This power is determined by the lateral force acting on the soil layer. Lateral force analytically is associated with the tractive effort of the tractor taking into account the angle of setting of the moldboard and the coefficient of friction of the soil. This data is sufficient to compile a method for analytically calculating the speed coefficient. It turned out that it does not depend on the speed of the plough or the depth of plowing. It is influenced only by the density of the soil, the angular dimensions of the moldboard and the angle of friction on the soil. The calculated dependency graphs are given. At the usual values of the friction angle of 28-30° and the angle of inclination of the moldboard 43°, the speed coefficient is 2400 kg / m 3 . If we apply vibration, the friction angle is reduced to 25-26°, and the speed coefficient becomes equal to 2000 kg/m 3 . High-speed moldboards, having their design features, have a speed coefficient of 1700-1800 kg / m 3 .