Научная электронная библиотека ULRICH'S Periodicals Directory

Сибирский государственный университет
науки и технологий имени академика М.Ф. Решетнева

Сибирский аэрокосмический журнал
ISSN 2712-8970 (Print) ISSN 2782-5760 (on-line)

Сведения об образовательной организации

UDK 004.942
THE MODEL OF METAL SPEED CONVECTION HEATING FOR USING IN ALGORITHMS OF THE CONTROL SYSTEM
V. M. Belolipeckii1, T. V. Piskazhova2, А. А. Portyankin2
1Institute of Computational Modeling SB RAS 55/44, Akademgorodok, Krasnoyarsk, 660036, Russian Federation 2Siberian Federal University, Non-Ferrous Metals and Materials Institute 95, Krasnoyarsky Rabochy Av., Krasnoyarsk, 660025, Russian Federation
A technological process of metal processing in space machinery contains such mandatory operation as the preparation of the raw material, its heating, rolling and finishing. Heating metal before rolling increases its ductility and improves physical and mechanical properties. Increased requirements apply to processing of titanium and aluminum alloys to temperature conditions of the initial, intermediate heating, annealing and artificial aging. Strict compliance with these requirements provides metal resistant to high and low temperatures, vibration loads and effects of radiation. One of the important ways to improve the process of heating metal mode is to introduce modern process control system of furnaces, which in turn requires energy-efficient and provides the specified requirements for the heating control algorithms. To correctly predict such algorithms it is necessary to use mathematical models of processes. The purpose of our work is to create a model for using in algorithms of process control system, which enables you to control speed convective heating of metal ingots. For testing and determination of the boundaries of the application of calculations on the model developed in ordinary differential equations were compared by us with the calculations for a reference model based on unsteady heat conduction equation. In this work materials with high heat and low thermal conductivity were examined. We use analytical and numerical methods for solving ordinary differential equations; analytical and finite difference solution of the third boundary value problem for the heat equation. A simplified model of heating materials in the furnace high-speed convection heating, built on ordinary differential equations and allowing at work as part of process control system to calculate speed and the heating mode, to assess of uniformity of heating of ingots to provide these data to the operator or to automatic decision to change the power input, or change the time heating, is offered.
Keywords: high-speed convection heating, metal heating, ordinary differential equations, equations in partial derivatives.
References

1. Belolipetskiy V. M., Piskazhova T. V. [Mathematical modeling of process of electrolytic receiving aluminum]. Reshenie zadach upravleniya tekhnologiey. Krasnoyarsk, SFU Publ., 2013, 272 p. (In Russ.).

2. Piskazhova T. V., Mann V. C. The Use of a Dynamic Aluminum Cell Model, JOM. 2006, Vol. 58, No. 2, P. 48–52.

3. Piskazhova T. V., Sidel’nikov S. B., Belolipetskiy V. M., Yakiv’yuk P. N., Sidel’nikov A. S. [“Virtual SLIP” – mathematical model for control unit SLIP and its visualization using WinCC 7.0 software and Step 7]. Vestnik SibGAU. 2015, No. 2(54), P. 140–144 (In Russ.).

4. Krivandin V. A. Teoreticheskie osnovy metallurgicheskogo proizvodstva [Heat engineering of metallurgical production]. Moscow, MISiS Publ., 2002, 162 p.

5. Krivandin V. A., Markov B. L. Metallurgicheskie pechi [Metallurgical furnace]. Izd. 2-e dop. i pererab. Moscow, Metallurgiya Publ., 1977, 464 p. (In Russ.).

6. [Simulation as a tool for optimization of production processes in industry]. Rational Enterprise Management (In Russ.). Available at: http://www.anylogic.ru/upload/ iblock/e56/ e56ccf70ee38f9080c9bb7f69f2b5908.pdf (accessed 8.03.2016).

7. Stroitel’nyy informatsionnyy portal. Osobennosti prokatki tsvetnykh metallov i splavov [Building an information portal. Features of non- ferrous metals and alloys rolling] (In Russ.). Available at: http://www. stroitelstvo-new.ru/sudostroenie/prokatka-cvetnyh-metallov. html (accessed 25.03.2016).

8. TK “Ekspert-oyl” informatsionnyy portal. Smazochnye materialy dlya prokatki sverkhtonkikh listov, listov legirovannoy stali, alyuminiya i drugikh materialov [TC “Expert-oil” information portal. Lubricants for rolling ultrathin sheets, stainless steel sheets, aluminum and other materials] (In Russ.). Available at: http://www.expert-oil.com/articles/smazochnie_materiali_pri_prokatke_sverhtonkih_listov_stali_aluminija i_drugih_materialov.html (accessed 25.03.2016).

9. Vokhmyakov A. M., Kazyaev M. D., Kazyaev D. M. [Study of convective heat transfer in a continuous furnace, equipped with high speed burners]. Tsvetnye metally. 2011, No. 12, P. 89–93 (In Russ.).

10. Arutyunov V. A., Bukhmirov V. V., Krupennikova S. A. Matematicheskoe modelirovanie teplovoy raboty promyshlennykh pechey [Mathematical modeling of thermal work of industrial furnaces]. Moscow, Metallurgiya Publ., 1990, 239 p. (In Russ.).

11. Tin’kova S. M. [Metallurgical Heat Engineering]. Teoreticheskie osnovy teplotekhniki. Krasnoyarsk, Gosudarstvennyy universitet tsvetnykh metallov i zolota Publ., 2005, 143 p. (In Russ.).

12. Dozortsev V. M. Komp’yuternye trenazhery dlya obucheniya operatorov tekhnologicheskikh protsessov [Computer simulators for training operators of technological processes]. Moscow, Sinteg Publ., 2009, 372 p. (In Russ.).

13. Sidorov A. V., Tret’yakov V. V., Baranov D. N. [Application of simulation for development of complex technical objects control programs]. Avtomatizatsiya v promyshlennosti, 2014, No. 7, P. 3–9 (In Russ.).

14. Zak Yu. A. [Functions and structure of simulation systems of small and medium series production]. Avtomatizatsiya v promyshlennosti, 2012, No. 7, P. 9–12 (In Russ.).

15. Ershova O. V. [Computer training complexes to improve process control efficiency of electrothermal production]. Control Since, 2010, No. 3, P. 60–66 (In Russ.).


Belolipetskii Viсtor Mikhailovich – Dr. Sc., professor, chief researcher, Institute of Computational Modeling SB

RAS. E-mail: belolip@icm.krasn.ru.

Piskazhova Tatiana Valerievna – Dr. Sc., head of Department of Automation of Production Processes

in Metallurgy, Institute of Nonferrous Metals and Materials, Siberian Federal University. E-mail: piskazhova@ya.ru.

Portyankin Artem Alexandrovich – postgraduate student, Department of Automation of Production Processes

in Metallurgy, Institute of Non-Ferrous Metals and Materials Science, Siberian Federal University. E-mail:

aaportyankin@gmail.com.