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[Display omitted] • Tillage involves soil mechanical disturbance, in order to improve its structure. • Agricultural production directly depends on the tillage quality. • Soil quality critically influence environment and the efficiency in crop production. • Present paper is focused to modelling the soil particle size distributions. • Important task of soil tillage is to reduce the soil compaction to minimum. Tillage involves various complex mechanisms of mechanical disturbance of the soil, aimed to advance its physical structure by creating relevant conditions for growing crops Quality regulation of every specific tillage conception is critical for the soil physical parameters. Thus, the main goal of this work was to review approaches to the analysis of the quality of soil cultivation techniques. Relationships have been established between the basic operating parameters of the mechanization applied and the consequent particle size spreading of the soil. Supplementary, statistical indices of the distribution pattern of soil particles, based on higher-order dimensionless statistical parameters were estimated. The observed mass distributions of soil aggregates was the result of extremely complex and superimposed influences of soil type, field conditions, crop structure, equipment used, etc. At this stage, an accurate forecast of the impact of soil tillage techniques on the changes in composition and size distribution of soil aggregates based on mathematical modelling is very difficult. Further research will be continued to include wider range of soil types, agricultural mechanization systems and their operational regimes. [ABSTRACT FROM AUTHOR]

• SSPM can be installed on tractors computers to increase safety of their operation. • This program estimates critical slope angles of mobile agricultural machines. • The algorithm combines principles of theoretical mechanics and analytical geometry. • Output results are represented in two manners: graphic and numerical. • The algorithm is verified by experiment with a tractor model. This paper presents an analytical algorithm with appropriate software specified for the approximation of the allowed critical slope of the solid flat terrain that guarantees static and/or dynamic stability of the specified self-propelled agricultural machines and their aggregates. This algorithm assumes machine as a rigid body, having 3 or 4 contact points (defined by wheels or crawlers), under uniform motion at different constant velocities and radii of curvature trajectories. Using this algorithm, based on the principles of theoretical mechanics combined with 3D analytical geometry, the computer program SSPM (s tability of the s elf- p ropelled agricultural m achines) has been coded. This software is intended to facilitate the analysis, comparison and optimization of different configurations of self-propelled agricultural machines in operation on horizontal and sloped flat terrains at constant velocities and radii of trajectory with respect to their static and dynamic stability. It calculates critical pitch and roll angles of the self-propelled machine and the maximum allowed slope of the flat terrain under the given conditions. The algorithm and the appropriate SSPM software were experimentally verified using the platform and low-scale tractor model. Average difference between calculated and experimental critical values of roll and pitch angles were about 4° [ABSTRACT FROM AUTHOR]