Abstract: The invention provides a roll profile for work rolls for both shape control and free ruled rolling. Each of the work rolls has a tapered end. The curve of respective tapered end is a quartic curve represented by a formula y(x)=a0+a1x+a2x2+a3x3+a4x4, x?[0,Le], y(x)?[0,He]. It is possible to partially eliminate the asymmetric deformation due to the difference between abrasion of the upper and lower rolls. Further, closed type abrasion of conventional roll is changed into open type abrasion and box shaped abrasion of conventional roll is eliminated, which eliminating “cat ear” hole and fulfilling the requirements of free ruled rolling.

Abstract: Disclosed herein is a roll profile for work rolls for both shape control and free ruled rolling. Each of the work rolls has a tapered end. Providing starting point of the tapered end of the rolls being origin of coordinates, the curve of respective tapered end is a quartic curve represented by a formula y(x)=a0+a1x+a2x2+a3x3+a4x4, x?[0,Le], y(x)?[0,He]. Because the transition between the tapered end and the roll body is smooth, asymmetric deformation due to the difference between abrasion of the upper and lower rolls is eliminated, which reducing wedged shape of strip and reducing unstable rolling due to asymmetrical strip stresses caused by the axial shifting of the roll.