Abstract
Optimization of geometric parameters of bunkers, feeders of agricultural machines depends on the type of process, mechanical and technological properties of materials, production technologies. Modern containers can be metal, plastic or glass. Growing requirements in a competitive market environment necessitate the constant improvement of existing and the creation of new machines with optimal parameters of the working bodies. Various agricultural materials, such as sandy soils, grain, fertilizers, tubers, fruits have different properties of flowability and mutual movement of particles in the form of spherical bodies. The article presents improved theoretical principles of practical orientation of optimal filling of containers with agricultural materials. As a result of research on modeling of technological processes of filling geometric structures with working materials of spherical shape, using a fundamental analytical and mathematical apparatus, an algorithmic model that describes the optimal filling of space typical for seed boxes, harvesters or seeders has been developed. The maximum filling of a given flat and three-dimensional geometric figure by a set of balls of the same radius have been calculated, namely, the quantitative component of such optimal filling is described, and the criterion for estimating such filling is formed. Such processes occur during the production operation of seeders and planters, machines for harvesting and post-harvest processing of grain, root crops, fruits, etc. The use of an algorithm for mathematical analysis and calculation of technological processes and technical systems provides the creation of the necessary conditions to prevent injury to seeds. In addition, innovative methods of theoretical analysis and calculation of processes, as well as phenomena characteristic of agro-industrial production have been proposed. These methods can be effectively applied in the educational process when preparing specialists for project activities.
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