SOLVING APPLIED PROBLEMS OF AUTOMATING THE PREPARATION OF MODERN TECHNOLOGICAL PROCESSES OF MECHANICAL PROCESSING

Author:

Dubchak Viktor1

Affiliation:

1. Vinnytsia National Agrarian University

Abstract

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.

Publisher

Vinnytsia National Agrarian University

Reference11 articles.

1. Dubchak, V. (2018) Vstanovlennia umov efektyvnoho pokryttia ploshcheiu kruha ploshchi kvadrata ta deiaki vypadky uzahalnennia [Establishing the conditions for effective coverage with the area of the square of the square square and some cases of generalization], 4 (91), 15 – 20, Vibratsii v tekhnitsi ta tekhnolohiiakh [in Ukrainian].

2. Akhtershev, S. (2005) Zadachy na maksymum y mynymum [Tasks for maximum and minimum] St. Petersburg : BHV-Petersburg [in Russian].

3. Belyaeva, E. (1977) Ekstremalnye zadachy [Extreme tasks] Moscow: Prosveshchenye [in Russian].

4. Gabasov, R. (1997) Ekstremalnye zadachy v sovremennoi nauke y prylozhenyiakh [Extreme problems in modern science and applications], 6, 115 – 120, Sorovskyi obrazovatelnyi zhurnal [in Russian].

5. Galeev, E., Tikhomirov, V. (1989) Kratkyi kurs teoryy ekstremalnykh zadach [Brief course of the theory of extreme problems] Moscow: Yzd-vo MHU [in Russian].

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