Mathematical Modelling of Online Warping Height of Cold-Rolled Thin Strip Steel

다국어 초록 (Multilingual Abstract)

The warping deformation is a common shape defect for thin strip steel. The warping form is shown as type-C for online strip with tension, whereas it is generally type-L for offl ine steel sheet without tension. A mathematical model between type- C warping height for online strip and type-L warping height for offl ine steel sheet was established and validated by fi eld experiments. The predicted offl ine warping height was agreed well with the measured results, and the average relative error was about 5.4%. There is a linear relationship between online and offl ine warping heights. The infl uence factors on online warping height were also discussed. At the same offl ine warping value of steel sheet, the online warping value increases with the increase of warping correction factor and the decrease of the sampling sheet length. The online warping height is also aff ected by width and Poisson’s ratio of strip. This model could be used to predict the online warping height of steel strip based on the offl ine warping height of steel sheet. Also the offl ine warping height can be evaluated according to the online warping state. It lays a primary theoretical foundation for the warping relationship between online strip and offl ine steel sheet.

참고문헌 (Reference)

1 Baba, W., "Warping behavior of thin strip with single-drive rolling" 725 : 537-541, 2016

2 Masui, T., "Warp control in strip processing plant" 31 (31): 262-267, 1991

3 Lu, X. F., "Study on buckling and warping deformation of steel strip" University of Science and Technology Beijing. 2015

4 Kasai, D., "Strip warpage behavior and mechanism in single roll driven rolling" 56 (56): 1815-1824, 2016

5 Bush, A., "Stress levels for elastic buckling of rolled strip and plate" 28 (28): 481-484, 2001

6 Zhang, Q. D., "Simulation of warping deformation in thin steel strips" 33 (33): 1006-1012, 2011

7 Fischer, F. D., "Residual stress-induced center wave buckling of rolled strip metal" 76 : 327-335, 2005

8 Fischer, F. D., "Residual stress-induced center wave buckling of rolled strip metal" 42 : 1887-1910, 2000

9 Tang, W., "Research and application of warping control strategy on tinplate" 54 (54): 55-61, 2019

10 Abdelkhalek, S., "Post-buckling modeling for strips under tension and residual stresses using asymptotic numerical method" 104 : 126-137, 2015

11 Qin, J., "Oblique and Herringbone buckling analysis of steel strip by spline FEM" 18 (18): 21-26, 2011

12 Nakhoul, R., "Multi-scale method for modeling thin sheet buckling under residual stresses in the context of strip rolling" 66 : 62-76, 2015

13 Chang, T. Z., "Mechanism of generating edge buckling in galvanized strips with mild character during coiling process and its solution" 30 (30): 178-183, 2008

14 Moazeni, B., "Investigations on relations between shape defects and thickness profile variations in thin flat rolling" 77 (77): 1315-1331, 2015

15 Moazeni, B., "Investigations on formation of shape defects in square rolling of uniform thin flat sheet product" 53 (53): 257-264, 2013

16 Zhao, J. W., "High precision shape model and presetting strategy for strip hot rolling" 265 : 99-111, 2019

17 Tran, D. C., "Experimental and numerical modeling of flatness defects in strip cold rolling" 69–70 : 343-349, 2015

18 Kpogan, K., "Buckling of rolled thin sheets under residual stresses by ANM and Arlequin method" 10 : 389-404, 2017

19 Yoshii, M., "Analysis of warping phenomenon in plate rolling" 31 (31): 973-978, 1991

20 Zhang, Q. D., "Analysis of warping deformation for cold-rolled strips" 36 (36): 378-382, 2014

21 Wang, Q. L., "Analysis of lateral metal folw-induced flatness deviations of rolled steel strip : Mathematical modeling and simulation experiments" 77 : 289-308, 2020

22 Komori, K., "Analysis of cross and vertical buckling in sheet metal rolling" 40 (40): 1235-1246, 1998

23 Kang, C. G., "A thermal elastic-plastic finiteelement analysis to roll-life prediction on the twin roll strip continuous casting process" 28B : 1213-1225, 1997

24 Dixon, A. E., "A physical based method to predict spread and shape during flat rolling for real-time application" 79 (79): 287-296, 2008

25 Niu, S., "A method for three-dimensional deformation predictions in the rolling of steel strips" 50B : 1581-1587, 2019