Mathematical Model and Stability Analysis of the Lateral Plate Motion in a Reversing Rolling Mill Stand

This paper deals with the stability analysis of the lateral plate motion in a reversing rolling mill for heavy plates. Lateral asymmetries in the rolling process can cause a rotation and a lateral motion of the plate in the mill stand. In the worst case, the lateral motion of the plate may lead to crashes of the plate with the mill stand. In this work, a mathematical model of the plate motion based on a time-free formulation is presented. The derivation of the equations of motion is based on the material derivative of the plate centerline. The model can capture the influence of edger rolls and side guides as well as asymmetric mill stand deflection due to asymmetric rolling forces. The stability of the plate movement is analyzed for different operating scenarios.