The authors of the article study the features of functioning and development of territories as the bases of forming of social infrastructure in the education sphere. The basic problems and the condition of the programme of the territories development are considered, the indicators of social-and-economic development are analyzed, the procedures of the programme creation for the development of social infrastructure within the development of the national Education project, the technique of forecasting of key indicators is applied. The features of the territories development with carrying out the analysis of the key parameters are investigated. The need of the programme of the social infrastructure development regarding education during of identification, studying micro- and macro-factors of the development of the area is proved. The approaches to the realization of the stages of the development programme and forecasting of change of key indicators are developed, the interrelation of the most important factors of their functioning is investigated. The periods in which there were maximum structural changes in development of rural territories are revealed as the result of quantitative assessment of structural shifts. It is proved that this approach is the tool allowing to improve the process of social-and-economic development taking into account the forecast, and, therefore, to increase the efficiency of activity of the sphere of education that will allow to strengthen the financial state and positions of the enterprises of this industry in the market. Some conclusions are drawn on the prospects of the territories development in the conditions of development and implementation of the development programme.

Abstract.A design and technological scheme of the grain crusher of shock-reflective action has been developed. As a result of the conducted research, dependences have been established describing the relative motion of a particle along the rotor blade at particular values of the angular velocity of the rotor, the angular coefficient of the plane, the coefficient of friction, and time. Analysis of the impact of individual indicators was carried out with the help of a developed program, tested under laboratory conditions. The research allows developing an efficient grain crusher at the design stage, to determine such adjusting parameters by which it is possible to obtain a finished product with a minimum energy intensity and maximum productivity.Keywords: grain, crusher, rotor blades, particle movement. IntroductionGrain is a valuable source of feed for farm animals. However, in order to increase the digestibility of the nutritional elements and their quality, as well as to obtain various feed mixtures, appropriate processing and preparation for feeding are required, including crushing [1].Efficient methods of preparing grain for feeding are crushing and grinding. Grinding of grain is used more for the production of food flour for baking bread and confectionery products. Crushing of grain is widely used for the preparation of feed for animals on the farms and in the mixed feed industry. Due to their high efficiency and the wide range of grinding, rotary crushers are widely used [2].In the exploration process of the operation of rotary grain crushers, the main regularities determining the efficiency, the degree of crushing, the energy consumption, etc. were revealed [3][4][5][6]. However, with the development of the feeding technologies, new requirements are imposed on the operation of the crushers, and constant improvement of their structures is required.During the research [7; 8] it was revealed that one of the main problems of rotary crushers is the heterogeneity of the crushed grain by its fractional composition and the high energy intensity of the process. First of all, this is due to untimely removal of the finished product from the crushing chamber.Therefore, the development of these machines with justified optimal design parameters is an important and urgent task. Establishment of theoretical regularities of the crushing process allows us to determine the optimal ranges of parameters and, already at the design stage, to make appropriate corrections in the design.The aim of this work was a mathematical description of the interaction of grain with the rotor blades, and the development of a model for the movement of a particle in the crushing chamber of the rotary grain crusher.

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