Application of the Preliminary Displacement Principle to the Temper Rolling Model

  • Lee, Won-Ho (Instrumentation & Control Research Group, Technical Research Laboratories, Pohang Iron & Steel Co., Ltd.) ;
  • Yuli Liu (Instrumentation & Control Research Group, Technical Research Laboratories, Pohang Iron & Steel Co., Ltd.)
  • Published : 2001.02.01

Abstract

A mathematical model for the analysis of roll gap phenomena in the strip temper rolling process is described. A new approach to solve the roll indentation and diverging problem in modeling of severe temper rolling cases is obtained by adopting the preliminary displacement principle of two contacted rough bodies to describe the friction behavior in the roll gap. The mechanical peculiarities of the temper rolling process, such as a high friction value with high roughness rolls and a non-circular contact arc, low reduction and non-negligible entry and exit elastic zones as well as central preliminary displacement zone etc., are all taken into account. The deformation of work rolls is calculated with the influence function method and an arbitrary contact are shape is permitted. The strip deformation is modeled by the slab method and the entry and exit elastic deformation zones are included. The preliminary displacement principle is used to determine the boundaries and to calculate the friction of the central preliminary displacement zone. The model is calibrated against the production mill data and installed in the setup computer of a temper rolling mill in POSCO. The validity and precision of the model have been proven through a comparison of the measured roll forces and the predicted ones.

Keywords

References

  1. Atkins, A. G., 1982, 'Hydrodynamic Lubrication in Cold rolling,' Int. J. Mech. Sci. Vol. 16, pp. 1-19 https://doi.org/10.1016/0020-7403(74)90029-0
  2. Busch, M. L., Biausser, H., Biard, G., etc., 1987, 'Metallurgical and Mechanical Aspects of Temper Rolling Process,' Pro. Of 4th International Steel Rolling Conference, Vol. 2, E48, Deauville, France
  3. Carlton, A. J., Edwards, W. J., Thomas, P. J., etc., Automation of the L. T. V. Steel-Hennepin Two-Stand Temper Mill, 5th International Steel rolling conference, 11-13 September, 1990, London
  4. 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, pp. 422-429
  5. 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, pp. 239-246
  6. Fleck, N. A., Johnson, K.L., 1987, 'Towards a New Theory of Cold Rolling Thin Foil,' Int. J. Mech. Sci. 29(7), pp. 507-524 https://doi.org/10.1016/0020-7403(87)90012-9
  7. 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., 206, pp. 119-131
  8. Ginzburg, V. B., 1985, 'Basic Principles of Customized Computer Models for cold and Hot strip Mills,' Iron and Steel Engineer, pp. 21-25
  9. 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
  10. Grimble, M. J., 1976, 'A Roll-Force Model for Tinplate Rolling,' GECJ. Of Science & Tech., Vol. 43, No. 1, pp. 3-12
  11. Grimble, M. J., Fuller, M. A. and Bryant, G. F., 1978, 'A Non-Circular Arc Roll Force Model for Cold Rolling,' Int. J. for Numerical Method in Engineering, Vol. 12, pp. 643-663 https://doi.org/10.1002/nme.1620120409
  12. Kragelsky, I. V., Dobychin, M. N., Kombalov, V. S., 1982, Friction and Wear-Calculation Method, Pergamon Press, Oxford
  13. Lake, J. S. H., 1985, 'Control of Discontinous Yielding by Temper Rolling,' J. of Mech. Working Technology, 12, pp. 35-66 https://doi.org/10.1016/0378-3804(85)90041-5
  14. Lenard, J. G., 1992. 'Friction and Forward Slip in Cold Rolling,' Tribology Transactions, Vol. 35, 3, pp. 423-428 https://doi.org/10.1080/10402009208982138
  15. Roberts, W. L., 1972, 'An Approximate Theory of Temper Rolling,' Iron and Steel Engineer, pp. 56-68
  16. 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