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Modelling the barrel body wear of the backup roll: mathematical model and software implementation

The International Journal of Advanced Manufacturing Technology volume 97, pages 1363–1370 (2018)Cite this article

Abstract

The aim of the research is to develop the theory of mathematical modelling for describing the processes occurring during metal forming. The research was carried out in several stages: experimental study of the backup roll wear, finding a dependence to describe the shape of the roll generatrix allowing for the roll wear, refinement of the Meltzer-Salganik model taking into account the backup roll wear, development of algorithmic solutions and software for carrying out the computational experiment. The methods of system analysis were used to study the uneven wear of the roll barrel, the methods of statistical analysis to identify cause-effect relationships, the methods of building deterministic models to describe the strip profile, object-oriented programming to develop the basic modules and the software interface. On the basis of algorithmic solutions, software products have been developed to perform the computational experiment to determine the nature of the roll barrel wear. The results of the computational experiment showed a discrepancy with production measurements of no more than 3% and allowed working out recommendations on changing the values of technological parameters that compensated for the negative effect of wear of the backup rolls in the production of hot-rolled steel.

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References

  1. Brecher Ch, Ozdemir D (2016) Mathematical modeling of rolling production technology. Springer, p 1104

  2. Fabik R, Kliber J, Mamuzic I, Kubina T, Aksenov SA (2012) Mathematical modelling of flat and long hot rolling based on finite element methods. METABK 51(3):341–344

    Google Scholar 

  3. Abeyrathna B, Rolfe B, Hodgson P, Weiss M (2016) An extension of the flower pattern diagram for roll forming. Int J Adv Manuf Technol 83(9–12):1683–1695. https://doi.org/10.1007/s00170-015-7667-0

    Article  Google Scholar 

  4. Lenard JG, Piertrzyk M, Cser L (1999) Mathematical and physical simulation of the properties of hot rolled products, vol 364. Elsevier, New York

    Google Scholar 

  5. Glowacki M (2005) The mechanical modeling of thermo-mechanical processing of steel during multi-pass shape rolling. J Mater Process Technol 168:336–343

    Article  Google Scholar 

  6. Brodsky YuI, Myagkov AN (2012) Declarative and imperative programming in simulation modeling of complex multicomponent systems. Eng J Sci Innov 2(2):33

    Google Scholar 

  7. Lindgren M (2007) An improved model for the longitudinal peak strain in the flange of a rollformed U-channel developed by FE-analyses. Steel Res Int 78(1):82–87

    Article  Google Scholar 

  8. Bin S, Ma Q, Han Z (2014) Modeling of austenite decomposition during continuous cooling process in heat treatment of hypoeutectoid steel with cellular automaton method. ISIJ Int 54(2):422–429

    Article  Google Scholar 

  9. Abraham EE, Havelund K (2014) Tools and algorithms for the construction and analysis of systems. Theory Pract Softw, 5–13

  10. Hojny M, Glowacki M (2009) The physical and computer modeling of plastic deformation of low carbon steel in semisolid state. J Eng Mater Technol 131(4):041003

    Article  Google Scholar 

  11. Wang LGY, Zhong ZH (2006) Parallel point interpolation method for three-dimensional metal forming simulations. Eng Anal Bound Elem 31:326–342

    Google Scholar 

  12. Logunova OS, Matsko II, Posohov IA, Luk’ynov SI (2014) Automatic system for intelligent support of continuous cast billet production control processes. Int J Adv Manuf Technol 74(9–12):1407–1418. https://doi.org/10.1007/s00170-014-6056-4

    Article  Google Scholar 

  13. Safonov DS, Logunova OS, Chistiakov DV (2016) Optimization of nozzle layout in continuous casting machine. Bull South Ural State Univ Ser Math Modell Program Comput Softw 9(1):114–122

    Google Scholar 

  14. Tutarova VD, Logunova OS (1998) Surface temperature analysis of continuously cast ingot outside air/water cooling zone. Steel Transl 28(8):18–20

    Google Scholar 

  15. Naceur H, Guo YQ, Batoz JL, Bouabdallah S, Knopf-Lenoir C (1999) Design of process parameters in deep drawing of thin sheets using the simplified. Inverse Approach 1:51722

    Google Scholar 

  16. Tselikov AI, Smirnov VV (1958) Rolling mills, vol 432. Metallurgizdat, Moscow

    Google Scholar 

  17. Grudev PI (1953) Metal forming, vol 223. Metallurgizdat, Moscow

    Google Scholar 

  18. Chepurkin SS (1960) Manufacture and processing of steel. Scientific papers ZhdI 5:346–371

    Google Scholar 

  19. Wang H, Li E, Li G (2009) The least square support vector regression coupled with parallel sampling scheme metamodeling technique and application in sheet forming optimization. Mater Des 30:14681479

    Google Scholar 

  20. Salganik V (2002) Mathematical modeling of roll load and deformation in a four-high strip mill. Metal Forming 2(1):75–77

    Google Scholar 

  21. Hanoglu U, Siraj-ul-Islam SB (2011) Thermo-mechanical analysis of hot shape rolling of steel by a meshless method. Procedia Eng 10:3173–3178

    Article  Google Scholar 

  22. Vier IV, Salganik VV, Poletskov PP (2002) Mathematical modeling of deformations and loads of the quarto roll system taking into account asymmetric cases of the rolling process, modeling and development of processes of metal forming, 78–86

  23. Winkler W (1941) DR-Ing Dissertation der TH Aachen, vol 230. TH Aachen, Aachen

    Google Scholar 

  24. Budakva AA, Konovalov YuV, Tkalich KN et al (1986) Rolls profiling of sheet mills, vol 190. Kiev, Techniqu

    Google Scholar 

  25. Shebanits EN, Savransky KN et al (1971) Wear of the backup rolls and the grinding profile change of the work rolls of the tempering mill. Metallurgist 11:42–43

    Google Scholar 

  26. Borovik LI, Kolpakov SS (1987) Calculation of the profiling of thin-sheet mill rolls taking into account the wear of the backup rolls. Steel 12:44–47

    Google Scholar 

  27. Lyakishev NP (2000) Encyclopedic dictionary of metallurgy, vol 412. Intermet Engineering, Moscow

    Google Scholar 

  28. GOST 19903-74. Hot-rolled sheet steel

  29. Salganik VM, Poletskov PP, Kukhta YuB, Egorova LG (2010) Quality management of hot-rolled products on the profile and flatness based on the use of an automated system. Bull Nosov Magnitogorsk State Tech Univ 1:59–62

    Google Scholar 

  30. Kukhta YuB, Egorova LG (2016) Certificate No. 2015663617. Program for determining the deformation of mill rolls., Federal Service for Intellectual Property, State Registration of Computer Programs

  31. Kukhta YuB, Egorova LG (2016) Certificate No. 2015663617. Program for determining the draughting schedules in stands on a broadband hot rolling mill, Federal Service for Intellectual Property. State Registration of Computer Programs

  32. Poletskov PP, Kukhta YuB (2014) Certificate No. 2014618081. Program for determining the draughting schedules in stands on a broadband hot rolling mill, Federal Service for Intellectual Property. State Registration of Computer Programs

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Authors and Affiliations

  1. Nosov Magnitogorsk State Technical University, Magnitogorsk, Russia

    Yu. B. Kukhta, O. S. Logunova, L. G. Egorova, V. E. Torchinsky, A. B. Belyavsky & P. Yu. Romanov

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  1. Yu. B. Kukhta
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  2. O. S. Logunova
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  3. L. G. Egorova
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  4. V. E. Torchinsky
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  5. A. B. Belyavsky
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  6. P. Yu. Romanov
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Correspondence to O. S. Logunova.

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Kukhta, Y.B., Logunova, O.S., Egorova, L.G. et al. Modelling the barrel body wear of the backup roll: mathematical model and software implementation. Int J Adv Manuf Technol 97, 1363–1370 (2018). https://doi.org/10.1007/s00170-018-2058-y

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  • DOI: https://doi.org/10.1007/s00170-018-2058-y

Keywords

  • Mathematical wear model
  • Wear rate coefficient
  • Refined Meltzer-Salganik model
  • Profile definition algorithms
  • Software implementation
  • Generatrix
  • Load model
  • Deformation model