The Analysis of the Technological Process of Row Crop Cultivator using the Laws of Classical Mathematics.

Abstract

The article presents a model for treatment information when performing a cultivator technological process, presents the results of the probabilistic characteristics of the processes in the functioning models of cultivating aggregates. A mathematical model of the system “tractor-cultivator with working bodies-soil” has been developed. The hypothesis that the error of the additional protective zone obeys the law of normal distribution has been chosen. An algorithm has been developed for calculating the statistical series of deviations from the protective zone. For acceptance or rejection of reliability, the initial hypothesis that the deviation of the additional protective zone obeys the law of normal distribution can be selected and verified by the Pearson criterion. Constructed graphs of normalized spectral densities of the width of the protective zone and analyzed the probability of damage to plants. A histogram of the distribution of deviations of the width of the protective zone and a graph of the theoretical distribution density are constructed. Based on the results obtained during experiments with a cultivator model, the hypothesis is confirmed or refuted. If this is confirmed, an acceptable value for the width of the protection zone is presented. Therefore, based on these studies, it is possible to determine the width of the protective zone by inter-tilling of row crops.