Abstract
Due to the growing importance of width control in strip and plate mills, edge rolling is currently an im-portant process in hot rolling mills. Research in edge rolling has been carried out, and in the present ar-ticle, models for roll force, torque, and lever arm coefficient are derived using the upper bound method. A simple, kinematically admissible deformation zone and velocity field, independent of friction in the roll gap, is proposed, and the energy dissipation rate is derived. The formula for energy dissipation rate has, in practice, no limitation because all edge rolling geometries are safely in the area where the formula is valid. Roll force and torque are derived by means of two independent integrals. Thus, the lever arm coef-ficient is evaluated from the expressions for roll force and torque using conventional rolling theory. Roll-ing trials report good agreement with theory. Measured roll forces are similar to calculated forces. Furthermore, the shape of the dogbone that arises during edge rolling is in fairly good agreement with the calculated dogbone shape. Deviations are due to the deviation from ideally plastic material in the ex-periments. Also, the strain distribution over the dogbone is similar to the proposed deformation zone. Thus, a new formula has been developed to a stage that it can be implemented in width control systems for edge rolling stands in hot strip and plate mills.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
V.B. Ginzburg, N. Kaplan, F. Bakhtar, and C.J. Tabone, Width Control in Hot Strip Mills,Iron Steel Eng., June, 1991, p 25-39
P. Kehl, U. Eggers, J. Ehl, A. Haasler, and W. van Rhee, Erzeugung Schwerer Profile aus Längsgeteiltem Brammen- stahlguss bei der Stahlwerke Peine-Salzgitter AG,Stahl Eisen, Vol 111 (No. 5), 1991, p 93–99
J.-O. Perä, R. Pietola, and U. Sjögren, Optimal Width Reductions in Hot-Strip Mills,Trans. Iron Steel Inst. Jpn., Vol 26, 1986, p 206–211
J.G. Beese, Some Problem Areas in the Rolling of Hot Steel Slabs,Iron Steel Eng., Aug, 1980, p 49-52
M. Okado, T. Ariizumi, Y. Noma, and Y. Yamazaki, “On the Be- havior of Edge Rolling in Hot Strip Mills,” Proc. Int. Conf. Steel Rolling, Vol 1, Tokyo, 1980, p 275–286
G.J. Heesen, F. Hollander, R.L. Huisman, S. Seijmonsbergen, Large Width Reductions—Physics and Operational Results, Proc. Conf. Achieving a Hot Link, London, 1984, p 6.1-6.12
S.-E. Lundberg and A. Holmberg, Reduction of Slab Stock by Application of Natural Spread in the Hot Rolling of Plate,Steel Res., No. 7, 1990, p 318-324
T. Hope, J.C. Dobson, and K.T. Lawson, “Hi-Spread—A New Hot Rolling Process which Can Effect Major Changes of Slab Width,” Proc. Conf. 4th Int. Steel Rolling Conference, Deauville, 1987, p 13.1-13.5
O. Pawelski and V. Piber, Möglichkeiten und Grenzen der Um- formung in Breitenrichtung beim Warm-Flachwalzen,Stahl Eisen,Vol 100 (No. 17), 1980, p 937–949
K. Mori, K. Osakada, H. Nikaido, T. Naoi, and Y. Aburatani, “Fi- nite Element Simulation of Non-Steady State Deformation in Rolling of Slab and Plate,” Proc. Conf. 4th Int. Steel Rolling Con- ference, Deauville, 1987, p 6.1-6.8
H.A. Bern, C. David, and J.L. Chenot, “Finite Element Simulation of Spread in Hot Rolling of Thick Slabs,” Proc. Conf. 4th Int. Steel Rolling Conference, Deauville, 1987, p 11.1 -11.4
C. David, C. Bertrand, and J.L. Chenot, “A Transient Three Di- mensional Finite Element Analysis of Hot Rolling of Thick Slabs,” Proc. NUMIFORM ’86 Conf., Gothenburg, 1986, p 219- 224
M.M. Saf’yan and A.I. Molchanov, Deformation State when Rolling in Stands with Vertical Rolls of Continuous Wide-Strip Mills, Steel in the USSR, Sept, 1978, p 517-519
S.-E. Lundberg, An Approximate Theory for Calculation of Roll Torque during Edge Rolling of Steel Slabs,Steel Res., No. 7, 1986, p 325-330
K. Klarin, J.-P. Mouton, and S.-E. Lundberg, Application of Computerized Slip Line Field Analysis for the Calculation of Lever Arm Coefficient in Hot Rolling Mills,J. Mater. Proc. Technol, Vol 36, 1993, p 427–446
Z. Wusatowski,Fundamentals of Rolling, Pergamon Press, Lon- don, 1969, p 158–195
B. Kastner and P. Kastner, Ein Kritischer Beitrag zu der Berechnungsweise des Walzmomentes,Arch. Eisenhüttenwesen, Vol 52 (No. 4), 1981, p 147–151
I. Sarady, “Riktning av Fartygsprofiler i Rullriktverk (Straight- ening of Ship Building Angles in a Roller Straightening Ma-chine),” University of Luleå, 1975, p 10-27 (in Swedish)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Lundberg, S.E., Gustafsson, T. Roll force, torque, lever arm coefficient, and strain distribution in edge rolling. JMEP 2, 873–879 (1993). https://doi.org/10.1007/BF02645688
Issue Date:
DOI: https://doi.org/10.1007/BF02645688