A mathematical technique is developed to describe the interaction process between a forest disk plow and soil medium when fire mineralized breaks are developed. Disk plowing provides insufficient quality of a furrow slice rotation therefore it is recommended to equip spherical disks with additional breasts of a plow-bottom type. To determine the optimal parameters of the developed design, the interaction of the working organ with the soil medium is simulated using the finite element method, where the soil and the spherical disk are represented as a set of a large number of separate spherical elements interacting in a certain way. The authors describe the technique of composing the equation of plane to simulate the operation of a plow-bottom breast. A special singling algorithm is used for uniform distribution of spherical elements, when the number of initially created points is larger than required, and the points located in dense areas are eventually removed. A computer program was developed to implement the mathematical model in the form of a system of differential equations and to conduct theoretical experiments. In the course of the computer experiment the disc with the fixed parameters moved linearly for a certain distance and the configuration of the developed furrow and the quality of soil cultivation and the energy capacity of the process were evaluated.

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To ensure the safe functioning of transport infrastructure facilities on their territory a set of works is carried out to remove unwanted trees and shrubs. The aim of the study is the formation of objective information about the most popular technological operations during the performance of these works and the development of recommendations on its basis for production. The methodological basis of our research was a complex of methods of logical, statistical and comparative analysis. Researchers analyzed more than 8,100 competitive bids for the removal of unwanted vegetation, according to a number of criteria. It was revealed that in 18.8% of the competitive bids, the technical task was completely absent, in 40.8% there was no mention of the necessary machines / mechanisms, in 66.4% there was no information about the necessary technological process for influencing unwanted vegetation, while the minimum 30% of the work involves only a manual way to remove it. The analysis of the distribution of the names of works by the relative demand coefficient is carried out, the expediency of reducing their nomenclature is established. The results of the work can be used by manufacturing enterprises engaged in the maintenance and operation of transport infrastructure facilities.

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