A coupling model of vertical rolling process based on upper bound method and elastic theory

A mathematical model of vertical rolling process with the consideration mechanism displacement is proposed. Using Γ function and parabola to describe edge deformation, corresponding 3D velocity field, strain rate field total power functional are derived. Simultaneously, an analysis method deformation The deflection roller radial support bearings calculated by applying superposition principle Palmgren’s modified formula respectively. coupling calculation slab realized through minimizing repeated iteration. accuracy presented verified comparison other models factory measurements. Subsequently, influences main parameters on force analyzed. proposed could provide some references for optimization improvement quality yield ratio.