Abstract
A 3D elastic–plastic finite element method (FEM) model of cold strip rolling for 6-high continuous variable crown (CVC) control rolling mill was developed. This model considers the boundary conditions such as accurate CVC curves, total rolling forces, total bending forces and roll shifting values. The rolling force distributions were obtained by the internal iteration processes instead of being treated as model boundary conditions. The calculated error has been significantly reduced by the developed model. Based on the rolling schedule data from a 1,850-mm CVC cold rolling mill, the absolute error between the simulated results and the actual values is obtained to be less than 10 μm and relative error is less than 1 %. The simulated results are in good agreement with the measured data. The developed model is significant in investigating the flatness control capability of the 6-high CVC cold rolling mill in terms of work roll bending forces, intermediate roll bending forces and intermediate roll shifting values.
Similar content being viewed by others
References
Ginzburg VB (1993) High-quality steel rolling: theory and practice. Marcel Dekker, New York, USA
Chen X (1997) Flatness control in new generation high-tech mill for wide strip rolling. J Univ Sci Technol Beijing 19:1–5
Ginzburg VB (1993) Profile and flatness control system. United Engineering, Inc., Pittsburgh, USA
Shan XY, Liu HM, Jia CY, Sun JL (2012) Flatness and profile integration control model for tandem cold mills. J Iron Steel Res Int 19(3):31–37
Yang GH, Cao JG, Zhang J, Song P, Yan TL, Rao KF (2012) Profile and flatness control technology with a long shifting stroke on wide non-oriented electrical steel sheets. J Iron Steel Res Int 19(1):31–35
Stone MD (1965) Theory and practical aspects in crown control. Iron Steel Eng 8:73–90
Shohet KN, Townsend NA (1968) Roll bending methods of crown control in four high plate mills. J Iron Steel Inst 1088–1098
Jiang ZY, Zhu HT, Tieu AK (2005) Study of work roll edge contact in asymmetrical rolling by modified influence function method. J Mater Process Technol 162–163:512–518
He A, Zhang Q, Xu J (2004) Shape control performance of 1800 virtual mills. J Univ Sci Technol Beijing 26:91–94
Ginzburg VB (1994) Profile and flatness of flat rolled products—part I. United Engineering, Inc., Pittsburgh, USA
Mori K, Osakada K, Oda T (1982) Simulation of plane-strain rolling by the rigid-plastic finite element method. Int J Mech Sci 24:519–527
Chandra S, Dixit US (2004) A rigid-plastic finite element analysis of temper rolling process. J Mater Process Technol 152:9–16
Zhang Q, Sun X, Bai J (2007) Analysis of rolls’ elastic deformation on 6-h CVC mill by FEM. China Mech Eng 18:789–791
Salganik V (2002) Mathematical modeling of roll load and deformation in a four-high strip mill. J Mater Process Technol 125:695–699
Thole CA, Stüben K (1999) Industrial simulation on parallel computers. Parallel Comput 25:2015–2037
Liu X, Shi X, Li S, Xu J, Wang G (2007) FEM analysis of rolling pressure along strip width in cold rolling process. J Iron Steel Res Int 14(5):22–26
Wang X, Li F, Li B, Dong L, Zhang B (2012) Design and application of an optimum backup roll contour configured with CVC work roll in hot strip mill. ISIJ Int 52:637–1643
Ginzburg VB, Ballas R (2000) Flat roll fundamentals. Marcel Dekker, Inc., New York, USA
Lu C, Tieu AK, Jiang Z (2002) A design of a third-order CVC roll profile. J Mater Process Technol 125–126:645–648
Jiang Z, Wang G, Zhang Q (1993) Shifting roll profile and control characteristics. J Mater Process Technol 37:53–60
Clough RW (1960) The finite element method in plane stress analysis. In: Proceedings of 2nd ASCE Conf. on Electronic Computation, Pittsburgh, USA
Yanagimoto J, Kiuchi M (1998) General purpose FEM simulator for the three-dimensional deformation analysis of strip, bar/wire and shape rolling processes. In: Proceedings of the 7th International Conference on Steel Rolling (STEEL ROLLING’ 98), Chiba, Japan
Jiang ZY, Zhu HT, Tieu AK, Sun WH (2004) Modeling of work roll edge contact in thin strip rolling. J Mater Process Technol 155–156:1280–1285
Jiang ZY, Tieu AK (2001) A simulation of three-dimensional metal rolling processes by rigid-plastic finite element method. J Mater Process Technol 112:144–151
Zienkiewicz OC, Taylor RL (2000) The finite element method, fifth edition, volume 1: the basis. Butterworth-Heinemann, Oxford, UK
Du XZ (2009) Research on mechanics of edge drop and its control technology in cold strip mill for high precision silicon steel. University of Science and Technology, Beijing, China
Hu P, Ma N, Liu LZ, Zhu YG (2013) Theories, methods and numerical technology of sheet metal cold and hot forming: analysis, simulation and engineering application. Springer, London, UK
Gu TQ, Tang CL, Wang KJ (2010) The research of integrated control of flatness and transversal thickness deviation of the cold rolled strip. In: Proceedings of the 10th International Conference on Steel Rolling, Metallurgical Industry Press, Beijing, China
Shoji K, Miura H, Takeda E (1987) Profile and shape control in hot strip mill. In: Proceeding of the 4th International Steel Rolling Conference, Deauville, France
Ginzburg VB, Azzam M (1996) Selection of optimum strip profile and flatness technology for rolling mills. Iron Steel Eng 19:30–35
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Linghu, K., Jiang, Z., Zhao, J. et al. 3D FEM analysis of strip shape during multi-pass rolling in a 6-high CVC cold rolling mill. Int J Adv Manuf Technol 74, 1733–1745 (2014). https://doi.org/10.1007/s00170-014-6069-z
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00170-014-6069-z