Mathematical Model for Cold Rolling and Temper Rolling Process of Thin Steel Strip

  • Lee, Won-Ho (Instrumentation & Control Tesearch Group, Technical Research Laboratories, POSCO)
  • Published : 2002.10.01

Abstract

A mathematical model for cold rolling and temper rolling process of thin steel strip has been developed using the influence function method. By solving the equations describing roll gap phenomena in a unique procedure and considering more influence factors, the model offers significant improvements in accuracy, robustness and generality of the solution for the thin strip cold and temper rolling conditions. The relationship between the shape of the roll profile and the roll force is also discussed. Calculation results show that any change increasing the roll force may result in or enlarge the central flat region in the deformation zone. Applied to the temper rolling process, the model can well predict not only the rolling load but also the large forward slip. Therefore, the measured forward slip, together with the measured roll force, was used to calibrate the model. The model was installed in tile setup computer of a temper rolling mill to make parallel setup calculations. The calculation results show good agreement with the measured data and the validity and precision of the model are proven.

Keywords

References

  1. Dixon, A. E. and Yuen, W. Y. D., 1995, 'A Computationally Fast Method to Model Thin Strip Rolling,' Proc. Computational Techniques and Applications Conference 95, Melbourne, Australia, July 3-5, pp. 239-246
  2. Domanti, S. A., Edwards, W. J., Thomas, P. J. and Chefneux, I. L., 1994, 'Application of Foil Rolling Models to Thin Steel Strip and Temper Rolling,' Proc. 6th International Rolling Conference, Duesseldorf, Germany, June 20-22, pp. 422-429
  3. Fleck, N. A., Johnson, K. L., Mear, M. E. and Zhang, L. C, 1992, 'Cold Rolling of Foil,' Proc. Inst. Mech. Eng., Part B : J. Eng. Man., Vol. 206, pp. 119-131 https://doi.org/10.1243/PIME_PROC_1992_206_064_02
  4. Gratacos, P. and Onno, F., 1994, 'Elastoplastic Models for Cold Rolling, Application to Temper Rolling,' Proc. 6th International Rolling Conference, Duesseldorf, Germany, June 20-22, pp. 441-445
  5. Grimble, M. J., 1976, 'A Roll Force Model for Tinplate Rolling,' GECJ. of Science & Tech., Vol. 43, No. 1, pp. 3-12
  6. Haeseling, G., Kastner, S., Kramer, A. and Hartung, H. G., 1998, 'New Foil Rolling Theories and Their Importance for Industrial Practice,' MPT International, No. 6, pp. 86-91
  7. Jortner, D., Osterle, J. F. and Zorowski, C. F., 1960, 'An Analysis of Cold Strip Rolling,' Int. J. Mech. Sci., Vol. 2, pp. 179-194 https://doi.org/10.1016/0020-7403(60)90003-5
  8. Liu, Y. and Lee, W., 2001, 'Application of the Preliminary Displacement Principle to the Temper Rolling Model,' KSME International Journal, Vol. 15, No. 2, pp. 225-231
  9. Montmitonnet, P., Massoni, E., Vacance, M., Sola, G. and Gratacos, P., 1993, 'Modeling for Geometrical Control in Cold and Hot Rolling,' Ironmaking and Steelmaking, Vol. 20, No. 4, pp. 254-260
  10. Yuen, W. Y. D., Nguyen, D. N. and Matthews, D. L. 1996, 'Mathematical Modeling of the Temper Rolling Processes,' 37TH MWSP CONF. PROC., ISS, Vol. XXXIII, Ontario Canada, pp. 165-172
  11. Zhu, Q., 1984, 'Deformation Characteristics of the Cross Shear Cold Rolling of Ultra Thin Strip and the Theory of 'Elastic Plug',' Proc. Adv. Technol. Plastic., Vol. 2, p. 1173