Model of assessment of the hardness of the iron rollers СПХН-43 and СШХНФ-47

Authors

DOI:

https://doi.org/10.30838/J.PMHTM.2413.241219.22.597

Keywords:

cast iron rolls, carbides, graphite, hardness, statistical dimensions, mathematical model

Abstract

Relevance of the article. The quality criteria of massive metal products is affected by many technological parameters. Changing some of these parameters can lead to a significant change in the quality of the target product. Therefore, various types of models are widely used in materials science to simulate individual processes or predict individual criteria. An analysis of literary sources indicates the prospects of using fractal geometry to model the structure and properties of various materials. It is proposed to apply multifractal analysis to assess the structure of cast-iron rolls. Materials and methods. The influence of the structure of cast irons on their hardness was investigated. The microstructure of cast iron was investigated using quantitative methods of metallography (ГОСТ 3443) and multifractal analysis. The calculation of the spectrum of statistical dimensions of the cast iron microstructure was carried out according to the Renyi formula. The hardness indices of the roll-forming rolls СПХН-43 (520 ´ 1 000 mm) and СШХНФ-47 (680 ´ 1 000 mm) were determined at three points evenly spaced along the length of the roll barrel. Results and its discussion. The influence of the spectrum of statistical dimensions D0, D1, D2, D-100 and D100 of carbides, lamellar and spherical graphite on the hardness indices of cast iron rolls is studied. It was found that the pair correlation coefficients in the prediction of hardness according to the traditional characteristics of the structure (length, diameter, area) are R2 = 0,73...0,87. The correlation coefficients in the prediction of hardness by multifractal characteristics for rolls СПХН-43 are 0,78...0,88. For rolls СШХНФ-47, the correlation coefficients are 0,81...0,93. The obtained results confirm the effectiveness of using multifractal analysis in assessing the quality criteria of cast-iron rolls. Scientific novelty. The influence of multifractal dimensions of graphite and carbides on the hardness of cast iron rolls СПХН-43 and СШХНФ-47 is established. The sensitivity of the СПХН-43 roll hardness indices to the information and correlation dimensions of carbides, as well as to the fractal and statistical D-100 dimensions of plate graphite, was revealed. The sensitivity of hardness indices to the fractal and statistical D100 dimensions of carbides and to the fractal and correlation dimensions of spherical graphite was established for the СШХНФ-47 rolls. Conclusions. Based on the results obtained, an approach has been developed to assess the hardness indices of rolls СПХН-43 and СШХНФ-47, which includes: 1) Determination of the spectrum of statistical dimensions of structural elements of cast irons. 2) Determination of sensitivity coefficients of hardness indicators to the spectrum of dimensions of structural elements. 3) Construction of a mathematical model for forecasting roll hardness. The approach considered can be interpreted as an alternative method for assessing the quality criteria of cast irons based on an analysis of their structure.

Author Biography

V. M. Volchuk, State Higher Educational Institution “Prydniprovska State Academy of Civil Engineering and Architecture’’

Department of Materials Science, Ass. Prof.

References

Bolshakov Vad.I., Bolshakov V.I., Volchuk V.N. and Dubrov Yu.I. Systemnyy analiz tekhnolohiyi vyrobnytstva masyvnoho metalevoho lyttya [System analysis techniques of producing solid metal castings]. Visnyk Natsionalnoyi akademiyi nauk Ukrayiny [Bulletin of the National Academy of Sciences of Ukraine]. 2015, no. 9, pp. 69–73. (in Ukrainian).

Bolshakov V.I., Volchuk V.N. and Dubrov Yu. I. Identifikatsiya mnogoparametricheskikh, mnogokriterial'nykh tekhnologiy i puti ikh prakticheskoy realizatsii [Multiparameter identification, multicriteria techniques and ways of their implementation]. Metaloznavstvo ta termichna obrobka metaliv [Metall Science and Heat Treatment of Metals]. 2013, no. 4, pp. 5-11. (in Russian).

Dubrov Yu., Bolshakov V. and Volchuk V. Puti identifikatsii periodicheskikh mnogokriterial'nykh tekhnologiy [Road periodic identification of multi-criteria Technology]. Saarbrucken : Palmarium Academic Publishing, 2015, 236 p. (in Russian).

Bolshakov V.I., Volchuk V.N. and Dubrov Yu.I. O prognozirovanii kachestva tselevogo produkta v periodicheskikh tekhnologiyakh [Predicting the quality of a desired product in periodic technologies]. Dopovidi Natsionalnoi akademii nauk Ukrainy [Reports of the National Academy of Sciences of Ukraine]. 2014, no. 11, pp. 77-81. (in Russian).

Krivocheev A. E. Cast rolls.Moscow: Metallurgy, 1957, 360 p. (in Russian).

Skoblo T.S., VorontsovN.M., Budagyants N.A. and others. Prokatnyye valki iz vysokouglerodistykh staley [Rolling rolls made of high-carbon steels]. Moscow : Metallurgiya, 1994, 336 p. (in Russian).

Bolshakov V.I., Volchuk V.M. and Dubrov Yu.I. Primeneniye teoretiko-informatsionnogo podkhoda dlya identifikatsii struktury metalla [The use of information–theoretic approach to identify the structure of the metal]. Visnyk Prydniprovsʹkoyi derzhavnoyi akademiyi budivnytstva ta arkhitektury [Bulletin of Prydniprovska State Academy of Civil Engineering and Architecture]. 2014, no. 8, pp. 4–9. (in Russian).

Bolshakov V.I., Volchuk V.N. and Dubrov Yu.I. O primenenii imitatsionnogo modelirovaniya v materialovedenii [The application simulated modelling in materials science]. Metaloznavstvo ta termichna obrobka metaliv [Metall Science and Heat Treatment of Metals]. 2015, no. 4. pp. 26−31. (in Russian).

Volchuk V.M. and Shtandenko M.S. Matematychna model prohnozu yakosti metalu [Mathematical model of the metal quality forecast]. Visnyk Prydniprovs’koyi derzhavnoyi akademiyi budivnytstva ta arkhitektury [Bulletin of Prydniprovs’ka State Academy of Civil Engineering and Architecture]. 2018, no. 2, pp. 31–35. (in Ukrainian).

Skoblo T.S., Sidashenko A.I., Aleksandrova H.M., Klochko O.Yu. and others. Proizvodstvo i primeneniye prokatnykh valkov. Spravochnik [Production and use of rolling rolls]. Kharkiv : CD no. 1, 2013, 572 p. (in Russian).

Volchuk V.N. Issledovaniya vliyaniya khimicheskogo sostava chugunnykh prokatnykh valkov na ikh mekhanicheskiye svoystva [Studies of the influence of the chemical composition of cast iron rolls on their mechanical properties]. Visnyk Prydniprovs’koyi derzhavnoyi akademiyi budivnytstva ta arkhitektury [Bulletin of Prydniprovs’ka State Academy of Civil Engineering and Architecture]. 2014, no. 5, pp. 12–18. (in Russian).

Bolshakov V.I., Volchuk V.N. and Dubrov Yu.I. Prognozirovaniye i upravleniye kachestvennymi kharakteristikami prokatnykh valkov [Prediction and control of quality characteristics rolls]. Visnyk Prydniprovs’koyi derzhavnoyi akademiyi budivnytstva ta arkhitektury [Bulletin of Prydniprovska State Academy of Civil Engineering and Architecture]. 2014, no. 9, pp. 9–14. (in Russian).

Bolshakov V. I., Volchuk V. M. and Dubrov Yu. I. Organizatsiya fraktal'nogo modelirovaniya [Organization of fractal modeling]. Dopovidi Natsionalnoi akademii nauk Ukrainy [Reports of the National Academy of Sciences ofUkraine]. 2018, no. 6, pp. 67-72. (in Russian).

Volchuk V. and Tokosov S. Sposib prohnozu mekhanichnykh vlastyvostey chavunnykh valkiv [Method of forecasting mechanical properties of cast-iron rolls]. ScienceRise. 2018, vol. 11. рр. 57-61. (in Ukrainian).

Bolshakov V.I., Volchuk V.N. and Dubrov Yu.I. O primenenii fraktal'nogo formalizma pri matematicheskom opisanii struktur [The fractal application formalism in mathematical description of the structure]. Metaloznavstvo ta termichna obrobka metaliv [Metall Science and Heat Treatment of Metals]. 2016, no. 2. pp. 26−33. (in Russian).

Bolshakov V.I., Volchuk V.N. and Dubrov Yu.I. K voprosu o postanovke zadachi identifikatsii fraktal'noy struktury metalla [Statement on the issue of the problem identification of fractal metal structures]. Visnyk Prydniprovs’koyi derzhavnoyi akademiyi budivnytstva ta arkhitektury [Bulletin of Prydniprovska State Academy of Civil Engineering and Architecture]. 2016, no. 5, pp. 35–39. (in Russian).

Bolshakov V., Volchuk V. and Dubrov Yu. Puti primeneniya teorii fraktalov [Ways of applying the theory of fractals]. Saarbrucken : Palmarium Academic Publishing, 2016, 146 p. (in Russian).

Mandelbrot B.B. The Fractal Geometry of Nature. New-York, San Francisco : Freeman, 1982, 480 p.

Bolshakov V.I., Volchuk V.N. and Dubrov Yu.I. K opredeleniyu metriki ob"yekta identifikatsii [To the definition of the identity metric]. Metallovedenie i termicheskaya obrabotka metallov [Metall Science and Heat Treatment of Metals]. 2016, no. 4, pp. 10–14. (in Russian).

Zhuravel' I.M. and Svirs'ka L.M. Measurement of the mean grain size in a metal by using fractal dimensions. Materials Science. 2015, vol. 46, no 3, рp. 418-420.

Bolshakov Vad.I., Bolshakov V.I., Volchuk V.N. and Dubrov Yu.I. Chastkova kompensatsiya nepovnoty formalʹnoyi aksiomatyky pry identyfikatsiyi struktury metalu [The partial compensation of incompleteness of formal axiomatics in the identification of the metal structure]. Visnyk akademiyi nauk Ukrayiny [Bulletin of the National Academy of Sciences ofUkraine]. 2014, no. 12, pp. 45−48. (in Ukrainian).

Bolshakov V., Volchuk V. and Dubrov Yu. Fractals and properties of materials.Saarbrucken: Lambert Academic Publishing, 2016, 140 p.

Bolshakov V.I., Volchuk V.M. and Parhomenko O.F. Evaluation of High Strength Steel Fatigue. UDCS'19: Fourth International Iron and Steel Symposium, April 4-6, 2019, Karabuk University, Karabuk, Turkey, 2019, vol. 4, рр. 415-417.

Volchuk V.M. and Parhomenko O.F. Fractal approach in assessing the quality of steel 20. Innovative Lifecycle Technologies of Housing, Industrial and Transportation Objects : collective monograph / under the general editorship Savytskyi M., Dnipro: SHEE “Prydniprovska State Academy of Civil Engineering and Architecture” ;Bratislava: Slovac University of Technology inBratislava, 2018, pp. 48-53.

Kroviakov S., Volchuk V., Zavoloka M. and Kryzhanovskyi V. Search for Ranking Approaches of Expanded Clay Concrete Quality Criteria. In: Materials Science Forum. Trans Tech Publications Ltd, 2019, vol. 968, p. 20-25.

Volchuk V.M. Opredeleniye chuvstvitel'nosti mul'tifraktal'nykh kharakteristik metalla [Determining the sensitivity of the multifractal characteristics of metals]. Visnyk Prydniprovs'koyi derzhavnoyi akademiyi budivnytstva ta arkhitektury [Bulletin of Prydniprovska State Academy of Civil Engineering and Architecture]. 2015, no. 12, pp. 10–14. (in Russian).

Bolshakov V.I. and Volchuk V.N. Issledovaniye mikrostrukturnoy odnorodnosti stali U8 s primeneniyem mul'tifraktal'nogo analiza [Investigation of the microstructural uniformity of У8 steel with the use of multifractal analysis]. Metallovedenie i termicheskaya obrabotka metallov [Metall Science and Heat Treatment of Metals]. 2010, no. 4, pp. 31–38. (in Russian).

Volchuk V.N. Primeneniye kontseptsii mul’tifractalov dlya kontrolya kachestva nizkolegirovannoy stali [Application of the concept of multifractal to control the quality of low-alloy steel]. Metallovedenie i termicheskaya obrabotka metallov [Physical Metallurgy and Heat Treatment of Metals]. 2018, no. 3, pp. 20–27. (in Russian).

Bolshakov V.I. and Volchuk V.N. Materialovedcheskiye aspekty primeneniya veyvletno-mul'tifraktal'nogo podkhoda dlya otsenki struktury i svoystv malouglerodistoy stali [Material science aspects of the use of wavelet and multifractal approach for assessing of the structure and properties of low-carbon steel]. Metallofizika i noveyshiye tekhnologii [Metal Physics and Advanced Technologies]. 2011, vol. 33, no. 3, рp. 347−360. (in Russian).

Volchuk V.N. Primeneniye veyvlet-analiza dlya otsenki zerennoy struktury metallov [The use of wavelet analysis to assess the grain structure of metals]. Metallovedenie i termicheskaya obrabotka metallov [Metall Science and Heat Treatment of Metals]. 2009, no. 4, pp. 24–32. (in Russian).

Volchuk V.N. K opredeleniyu oblasti kompromissa kharakteristik kachestva materialov [By identifying areas compromise performance materials quality]. Metallovedenie i termicheskaya obrabotka metallov [Metall Science and Heat Treatment of Metals]. 2015, no. 3, pp. 21–25. (in Russian).

Rényi A. Probability Theory. Amsterdam : North-Holland, 1970, 670 р.

Bolshakov V.I., Volchuk V.N. and Dubrov Yu.I. Puti prognoza mekhanicheskikh svoystv prokatnykh valkov [Ways to forecast the mechanical properties of the rolls]. Metaloznavstvo ta termichna obrobka metaliv [Metall Science and Heat Treatment of Metals]. 2014. no. 1, pp. 19-40. (in Russian).

Volchuk V.M. and Dubrov Yu.I. Mul'tifraktal'nyy analiz tverdostilystoprokatnykh valkiv [Multifractal hardness analysis of roller rolls]. Metallovedenie i termicheskaya obrabotka metallov [Physical Metallurgy and Heat Treatment of Metals]. 2018, no. 3, pp. 20–27. (in Ukrainian).

Volchuk V.,KlymenkoI., Kroviakov S. and Orešković M. Method of material quality estimation with usage of multifractal formalism. Tehnički glasnik - Technical Journal, 2018, vol. 12, no. 2, рр. 93-97.

Bolshakov V.I., Volchuk V.N. and Dubrov Yu.I. Osnovnyye etapy fractalnjgo modelirovaniya v materialovedenii [Main stages of fractal modeling in materials science]. Metaloznavstvo ta termichna obrobka metaliv [Physical Metallurgy and Heat Treatment of Metals]. 2019, no. 2, pp. 24-29. (in Russian).

Bolshakov V.I. and Dubrov Yu.I. Ob otsenke primenimosti yazyka fraktal'noy geometrii dlya opisaniya kachestvennykh transformatsiy materialov [An estimate of the applicability of fractal geometry to describe the language of qualitative transformation of materials]. Dopovidi Natsionalnoi akademii nauk Ukrainy [Reports of the National Academy of Sciences ofUkraine]. 2002, no. 4, pp. 116-121. (in Russian).

Bolshakov V.I., Volchuk V.M. and Dubrov Yu.I. Osnovy organizacii fraktal'nogo modelirovaniya [Fundamentals of fractal modeling]. Kyiv, Ukraine : PH "Akademperiodyka" National Academy of Sciences of Ukraine, 2017, 170 p. (in Russian).

Vashchenko K.I. and Sofroni L. Magniyevyy chugun [Magnesium cast iron]. Moscow : Mashgiz, 1960, 489 p. (in Russian).

Published

2019-12-27