Engineering, Energy, Transport AIC

Dubchak Viktor Nikolaevich – PhD, Associate Professor of “Department of Mathematics, Physics and

Computer Technologies” of Vinnytsia National Agrarian University (21008, Vinnytsia, 3, Solyaschyna St.,

email: viktor_dubchak@rambler.ru).

SOLVING APPLIED PROBLEMS OF AUTOMATING THE PREPARATION OF MODERN

TECHNOLOGICAL PROCESSES OF MECHANICAL PROCESSING

The article proposes a technique for solving applied problems for the preparation of technological

processes of mechanical processing on machine tools with numerical programmed control (CNC) of

different types of profiled surfaces with the aim of ensuring their further precise connection. In

particular, the question of the optimal coverage of the “circle” profile with the common center of these

profiles by the “equilateral triangle” profile is investigated. These tasks are relevant in the processing of

parts of rotary-piston internal combustion engines, parts of profile joints with equiaxial contour and in

other similar technologies. In the work, the value of the function determining the difference of areas,

according to which these profiles do not coincide, was obtained, the function was investigated for

extremality, two points of its extremum were determined in the domain of definition, it was shown that at

one of these points the function acquires a minimum . The conditions for such an extremal coverage of

one profile in accordance with another profile are established, figures are given for the formulation and

solution of the problem, conclusions are made.

Keywords: automation, technological process, mechanical processing, area of a circle, area of an

equilateral triangle, extremality of a function.

F. 15. Fig. 2. Ref. 11.

References

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