Verification of the mathematical model of plane-parallel motion harrow section in the longitudinal-vertical plane for the adequacy

Abstract

Many scientists and agricultural producers prefer black fallow among the many ways to preserve low moisture in any soil and climatic zone. For this, the upper layer of the fallow field must be constantly loosened to a depth of 5...6 cm. The best working tool for this technological operation is a harrow equipped with working bodies in the form of a small width shovel. This tool's movement dynamics in the longitudinal-vertical plane should ensure the tillage depth's stability. Such a result is possible with the correct choice of the harrow design parameters. At the design stage of such a machine, the first step in solving this problem is the mathematical modeling of the process under study with subsequent mandatory verification of the developed mathematical model for adequacy. This article discusses the methodology and results of checking the mathematical model's adequacy describing the dynamics of oscillations of the angle of rotation (β) of the harrow section in the longitudinal-vertical plane. As a result, it was found that in the constant motion mode of this section, the discrepancy between the theoretical and experimental data does not go beyond the confidence interval, which characterizes the range of variation of the estimated parameter in the form of angle β. This result indicates both the adequacy of the developed mathematical model and the simulation results' reliability.