Название |
Mathematical model of the probability of strip breakage during cold rolling |
Информация об авторе |
Lipetsk State Technical University (Lipetsk, Ruissia):
S. M. Belskiy, Dr. Eng., Prof., Dept. of Metal Processing, e-mail: belsky-55@yandex.ru I. I. Shopin, Cand Eng., Dept. of Metal Processing |
Реферат |
At the later stages of processing steel flat products, due to the instability of the qualitative characteristics of the rolled products, a number of losses are formed, which are unknown at the early stages. In this regard, feedback from the later stages of processing to the early stages plays an important role in long production chains of flat rolled steel. Feedback, as a rule, includes toughening the requirements for the quality characteristics of the hot rolled strip or its processing parameters. In turn, toughening requirements leads to an increase in production costs in the early stages of processing. Therefore, in the framework of the formation of optimal requirements for hot-rolling strip within the framework of a single production chain, mathematical modeling plays an important role. This allows you to quantify the amount of loss reduction at the last stages of processing due to the tightening of requirements for strips. Which, ultimately, allows you to make an economically balanced decision on the implementation of the proposed costly improvement measures. In the framework of this work, we consider the process of forming requirements for hot-rolled steel to reduce strip breakage during cold rolling using the method of mathematical modeling. Strip breakage during cold rolling leads to signifi cant losses in a continuous mill: downtime associated with the elimination of consequences; additional consumption of metal, work and backup rolls. Strip breakage is a relatively rare event that has a complex genesis with many root causes. For root causes search and elimination the analysis should rely not only on expert opinion, but also on statistical tools. The strip breakage occurs at a particular strip location, which further complicates the identification and analysis of its root causes, since a critical deviation of the parameters in only one small section of the strip may already be the cause of the subsequent breakage during cold rolling. In this work, first, methods for testing hypotheses and regression modeling are used to identify the key parameters of hot-rolled strips that affect the strip breakage. Then, on the basis of the developed mathematical models, threshold values for key parameters are determined, exceeding which increases the probability of strip breakage. |
Библиографический список |
1. Korolev А. А. Mechanical equipment for rolling and pipe shops. Moscow: Metallurgiya, 1987. 480 p. 2. Shopin I. I., Belskiy S. М. A simplifi ed model of stress-strain state of a coil on a coiler. Proizvodstvo prokata. 2016. No. 5. pp. 13–17. 3. Shopin I. I., Belskiy S. М. A layered model of stress-strain state of a coil on a coiler. Proizvodstvo prokata. 2016. No. 8. pp. 3–7. 4. Bel’skii S. M., Mukhin Yu. A., Mazur S. I., Goncharov A. I. Influence of the cross section of hot-rolled steel on the fl atness of cold-rolled strip. Steel in Translation. 2013. Vol. 43. No. 5. pp. 313–316. 5. Tselikov А. I., Polukhin P. I., Grebenik V. М. et. al. Machines and assemblies of metallurgical plants. Vol. 3. Machines and assemblies for production and finishing of rolled products. Moscow: Metallurgiya, 1988. 680 p. 6. Belskiy S. M., Kotsar S. L., Polyakov B. А. Calculation of the rolling force distribution along the strip width and residual stresses in the strip by the variational method. Izvestiya vysshikh uchebnykh zavedenyi. Chernaya metallurgiya. 1990. No. 10. pp. 32–34. 7. Predeleanu M., Gilormini P. Advanced methods in materials processing defects. Elsevier Science. 1997. Vol. 45. 422 p. 8. Rees D. Basic engineering plasticity. An introduction with engineering and manufacturing applications. Butterworth-Heinemann, 2006. 528 p. 9. Wilko C. E. Formability. A review of parameters and processes that control, limit or enhance the formability of sheet metal. Springer, 2011. 112 p. 10. Shinkin V. N. The mathematical model of the thick steel sheet flattening on the twelve-roller sheet-straightening machine. Message 2. Forces and moments. CIS Iron and Steel Review. 2016. Vol. 12. pp. 40–44. 11. Shinkin V. N. Springback coefficient of the main pipelines’ steel large-diameter pipes under elastoplastic bending. CIS Iron and Steel Review. 2017. Vol. 14. pp. 28–33. 12. Lim Y., Venugopal R., Ulsoy A. G. Process control for sheet-metal stamping process modeling, controller design and stop-floor implementation. Springer, 2014. 140 p. 13. Lin J., Balint D., Pietrzyk M. Microstructure evolution in metal forming processes. Woodhead Publishing, 2012. 416 p. 14. Banabic D. Multiscale modeling in sheet metal forming. Springer, 2016. 405 p. 15. Frank V. Lecture notes in production engineering. Springer, 2013. 211 p. 16. Calladine C. R. Plasticity for engineers. Theory and applications. Woodhead Publishing, 2000. 328 p. 17. Shinkin V. N., Kolikov A. P. Simulation of the shaping of blanks for large-diameter pipe. Steel in Translation. 2011. Vol. 41. No. 1. pp. 61–66. 18. Shinkin V. N., Kolikov A. P. Elastoplastic shaping of metal in an edgebending press in the manufacture of large-diameter pipe. Steel in Translation. 2011. Vol. 41. No. 6. pp. 528–531. 19. Hingole R. S. Advances in metal forming. Expert system for metal forming. Springer, 2015. 116 p. 20. Chakrabarty J. Applied plasticity. Springer, 2010. 758 p. 21. Klocke F. Manufacturing processes 4. Forming. Springer, 2013. 516 p. 22. Shinkin V. N. Calculation of bending moments of steel sheet and support reactions under fl attening on the eight-roller straightening machine. Chernye Metally. 2017. No. 4. pp. 49–53. 23. Belskiy S. M., Shopin I. I. Application of the saddle coefficient for estimating the quality of a hot-rolled sheet. Chernye Metally. 2019. No. 9. pp. 9–13. 24. Lvovskiy E. N. Statistical methods for constructing empirical formulas. Moscow: Vysshaya shkola, 1982. 224 p. 25. Kobzar А. I. Applied mathematical statistics. For engineers and researchers Moscow: Fizmatlit, 2006. 816 p. 26. Hastie T., Tibshirani R., Friedman J. The elements of statistical learning. Data mining, inference and prediction. Springer, 2017. 745 p. 27. Draper N., Smith H. Applied regression analysis. Book 1. Moscow: Finansy i statistika, 1986. 366 p. 28. Rumyantsev M. I. Some approaches to improve the resource efficiency of production of flat rolled steel. CIS Iron and Steel Review. 2016. Vol. 12. pp. 32–36. |