Modification of a classical formula for determination of roll flattening in flat rolling

Abstract

Local elastic roll flattening in direction of the roll axis in flat rolling is one of the important displacement components related to the roll gap shape. Up to now some classical formulae to solve roll flattening have been proposed. These formulae were derived from the elastic half space theory or the 2-dimensional contact theory. On calculating the flattening of the back-up roll they may result in a great deviation. In the present effort a comparison was made between the flattening results obtained by a 3-dimensional finite element method and by a classical formula. The relation between the deviation and the back-up roll geometry was also examined and therefore the classical formula was modified. Calculated results indicate that the modified formula can more accurately predict the back-up roll flattening.