Multi-criteria optimization by the «ideal point» method of raw material composition for composite blank manufacturing
https://doi.org/10.17073/1997-308X-2019-2-49-56
Abstract
The paper provides the results of an experimental study into the properties of compressed and sintered compacts of the following powders: VT-22 high-strength titanium alloy manufactured by plasma spraying of industrial titanium production waste, PTM-1 grade titanium manufactured by the hydrate-calcium method, and PV-N70Yu30 nickel-aluminum alloy. It was shown that charge composition selection for composite blank manufacturing is connected with the need to ensure optimization of several competing target functions. The relative density and strength of compacts under axial compression after sintering, as well as charge cost were chosen as optimization criteria. The problem was set and the method was proposed to select an optimal charge composition providing the necessary values of density, strength, as well as relatively low cost of products. The problem of multi-criteria optimization was solved based on the ≪ideal point≫ method. The results of calculations were compared with the previously obtained solutions of the problem under consideration using the Pareto method, linear programming, and generalized criterion. It was shown that different methods of multi-criteria optimization lead to significantly different results. In this case, the ≪ideal point≫ method gives the minimum discrepancy between the experimental and model values of the optimization criteria selected. The results of this study were used to create an expert system for the multi-criteria optimization of composite manufacturing processes. The charge composition obtained by the «ideal point» method was transferred to an industrial plant where an axially symmetric part was manufactured. The ultimate strength and relative density of the manufactured part material were in conformity with the predicted values.
About the Authors
V. G. TitovRussian Federation
Cand. Sci. (Tech.), Lead programmer, Laboratory of system simulation, Institute of Engineering Science
620049, Ekaterinburg, Komsomolskaya str., 34
A. G. Zalazinsky
Russian Federation
Dr. Sci. (Tech.), Principal researcher, Laboratory of system simulation
620049, Ekaterinburg, Komsomolskaya str., 34
D. I. Kryuchkov
Russian Federation
Cand. Sci. (Tech.), Researcher, Laboratory of system simulation
620049, Ekaterinburg, Komsomolskaya str., 34
A. V. Nesterenko
Russian Federation
Cand. Sci. (Tech.), Senior Research, Laboratory of material micromechanics
620049, Ekaterinburg, Komsomolskaya str., 34
References
1. Froes F.H., Smugeresky J.E. Powder metallurgy of titanium alloys. Las Vegas: The metallurgical society of AIME Publ., 1980.
2. Hull D., Clyne T.W. An introduction to composites materials. Cambridge: University Press, 1996.
3. Odu G.O., Charles-Owaba O.E. Review of multi-criteria optimization methods — theory and applications. IOSR J. Eng. 2013. Vol. 3. No. 10. P. 1—14.
4. Kruchkov D.I., Zalazinsky A.G., Polyakov A.P., Berezin I.M., Shennikova T.L., Zalazinsky G.G. Selection of the optimal composition of powder composite material based on titanium for pressing blanks. Kuznechno-shtampovochnoe proizvodstvo. Obrabotka metallov davleniem. 2014. No. 6. P. 34—38 (In Russ.).
5. Kruchkov D.I., Polyakov A.P., Zalazinsky A.G., Berezin I.M., Subachev U.V. Influence of the composition of the mechanical mixture of titanium powders on the properties of blanks. Fundamentalnye issledovaniya. Tekhnicheskie nauki. 2014. No. 9. P. 24—28 (In Russ.).
6. Kryuchkov D.I., Zalazinsky A.G., Berezin I.M., Romanova O.V. Modelling of compaction of titanium composite powders. Diagnostics, Resource and Mechanics of Materials and Structures. 2015. No. 1. P. 48—60.
7. Hwang C.L., Yoon K. Multiple attribute decision making: methods and applications. Berlin: Springer-Verlag, 1981.
8. Lotov A.V., Pospelova I.I. Multi-criteria decision-making tasks: Tutorial. Moscow: MAKS Press, 2008 (In Russ).
9. Saleev D.V. Analysis of multi-criteria optimization methods used in technological process control. Modelirovanie, optimizaciya i informacionnye tekhnologii. 2013. No. 2. URL: https://moit.vivt.ru/wp-content/uploads/2013/11/saleev_2_13_1.pdf
10. Bunday B. Basics linear programming. Bredford: Edward Arnold, 1984.
11. Semenkin E.S., Semenkina O.E., Korobeynikov S.P. Optimization of technical systems: Tutorial. Krasnoyrsk: SIBUP, 1996 (In Russ.).
12. Horn J., Nafpliotis N., Goldberg D.E. A niched Pareto genetic algorithm for multiobjective optimization. In: Proc. of 1-st IEEE Conf. on Evolutionary Computation. N.Y.: IEEE Press, 1994. P. 82—87.
13. Mikoni S.V. Multicriteria choice on a finite set of alternatives: tutorial. Sankt-Peterburg: Lan, 2009 (In Russ.).
14. Podinovskiy V.V., Gavrilov V.M. Optimization according to consistently applied criteria. Moscow: Sov. Radio, 1975 (In Russ.).
15. Lotov A.V., Bushenkov V.A., Kamenev G.K., Chernyh O.L. Computer and the search for a compromise. Method of achievable goals. Moscow: Nauka, 1997 (In Russ.).
16. Steuer R.E. Multiple criteria optimization: theory, computation and application. N.Y.: Wiley, 1986.
17. Nogin V.D. Decision-making in a multicriteria environment: a quantitative approach. Moscow: Fizmatlit, 2005 (In Russ.).
18. Liu G.P., Yang J.B., Whidborne J.F. Multiobjective optimization and control. Baldock: Research Studies Press Ltd., 2003.
19. Podinovskiy V.V., Nogin V.D. Pareto-optimal solutions of multicriteria tasks. Moscow: Nauka, 1982 (In Russ.).
20. Nash J.F. (Jr). The bargaining problem. Econometrica. 1950. Vol. 18. No. 2. P. 155—162.
21. Kalai E., Smorodinsky M. Other solutions to Nash’s bargaining problems. Econometrica. 1975. Vol. 43. No 3. P. 513—518.
22. Zalazinsky A.G., Kryuchkov D.I., Nesterenko A.V., Titov V.G. Choosing the optimal Pareto composition of the charge material for the manufacture of composite blanks. In: AIP Conference Proc. 2017. No. 040068. URL: https://aip.scitation.org/doi/abs/10.1063/1.5017416 (accessed: 23.01.2019).
23. Zalazinsky A.G., Kryuchkov D.I., Nesterenko A.V., Titov V.G. Optimization of pressing process of composite from noncompact titanium-based raw material. Mejdunarodiy jurnal prikladykh i fundamentalnykh issledovaniy. 2016. No. 8. P. 334—339 (In Russ.).
24. Titov V.G., Kryuchkov D.I., Nesterenko A.V., Zalazinsky A.G. Optimizing of selection of the mixture composition for the making of a composite workpiece. Mejdunarodiy jurnal prikladykh i fundamentalnykh issledovaniy. 2017. No. 2. P. 7—10 (In Russ.).
Review
For citations:
Titov V.G., Zalazinsky A.G., Kryuchkov D.I., Nesterenko A.V. Multi-criteria optimization by the «ideal point» method of raw material composition for composite blank manufacturing. Powder Metallurgy аnd Functional Coatings. 2019;(2):49-56. (In Russ.) https://doi.org/10.17073/1997-308X-2019-2-49-56