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Road trains (RT) are the main transport in agriculture. However, their accident rate is quite high. In the vehicles movement research their design characteristics and operating modes are mainly improved. The main way to reduce the accident rate remains the speed limit. The authors proposed methods (confirmed by the issued patents) for ensuring the stability of the RT movement by changing the design of trailer devices. The purpose of this work is to form a mathematical model for assessing the stability of the RT movement in the presence of side effects (modeling of sharp turns, impacts). Methods of analysis and synthesis, mathematical analysis, and vector geometry were applied. The process of RT yawing on the highway is split into a number of stages, for which the laws of changing its geometry and kinematics are formulated. Side effect leads to increase in the RT impulse (lateral oscillations increase the speed), or to a violation of stability (the movement amplitude goes beyond the highway or tipping). This model can be used to analyze the stability of the RT movement and evaluate methods to influence it in order to reduce the probability of accidents.

The active introduction of new technologies, including those based on the application of the principles of nano-grinding, can significantly reduce energy consumption in the production of agricultural products. The scale of such developments in the world suggests the need to create a scientific concept that forms a unified systematic approach to the use of promising technologies for grinding solids and materials. To solve this problem, the authors have developed a technology for crushing agricultural raw materials, and also designed a working body for a disintegrator-type grinder. The studies carried out by the authors on the use of nanopowders in the production of feed for cattle, as well as mineral fertilizers, made it possible to formulate the goals, objectives and main directions of development of the powder industry based on the use of convergent technologies, as well as mechanisms and ways to achieve these goals. Implementation of the developed concept is of great fundamental and practical importance. It will allow to ensure, in the medium term, the transition of the economy of the agricultural sector to the large-scale application of technologies for nanomilling of raw materials, secondary raw materials and waste processing, which will significantly reduce production costs. A decrease in costs on the scale of the regional economy will be facilitated by: decrease in logistics costs for raw materials in the form of crushed microfractions; increase in productivity and a corresponding increase in profitability by improving the properties of particles, increasing their surface as a result of the use of grinding technologies; improving the quality characteristics of agricultural products.

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