Prediction of Strip Profile in Rolling Process Using Influence Coefficients and Boussinesq’s Equations

Abstract

A simplified numerical method is proposed in this article to predict strip profile. The mill is simulated by beams (rolls) on the infinite elastic half space (between rolls and strip). The roll deflection and indentation are calculated using the influence coefficients and Boussinesq’s equations respectively. The roll contours in the contact zone can be expressed in terms of the influence coefficient and indentation matrices. Compatibility equations are derived by matching two surface profiles in the contact zone. Equilibrium equations ensure force and moment balance of the strip and each roll. A complete linear system is established by assembling compatibility and equilibrium equations. The contact rolling pressure distribution and the rigid motion of the roll chocks can be solved. Roll surface contours and strip profiles can be further calculated accordingly.