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A mathematical model with a combined analytical and numerical approach for predicting the thickness profile of a cold‐rolled strip
Author(s) -
Pawelski Oskar,
Rasp Wolfgang,
Teutsch Holger
Publication year - 1985
Publication title -
steel research
Language(s) - English
Resource type - Journals
eISSN - 1869-344X
pISSN - 0177-4832
DOI - 10.1002/srin.198500643
Subject(s) - computation , deflection (physics) , mechanics , plasticity , drop (telecommunication) , boundary value problem , elasticity (physics) , numerical analysis , computer simulation , structural engineering , materials science , mathematics , geometry , mathematical analysis , engineering , physics , classical mechanics , mechanical engineering , composite material , algorithm
In order to investigate the edge drop effect in cold rolling of strip a mathematical model was developed. It combines well‐known classical and analytical solutions in the rolling direction with a numerical approach in the width direction. For the computation the strip is divided into small stripes across the width. For each stripe the roll force is determined with the equations of elementary theory of plasticity. Deflection of the roll bodies is computed by the theory of elasticity. A solution is obtained by solving the equations of global equilibrium between forces due to plastic deformation of the strip and elastical deflections of the roll system. Up to ten passes on two or four‐high mills can be simulated. A wide range of rolling parameters can be specified. Computed results have been validated by experiments on 2‐ and 4‐high mills under various rolling conditions. Numerical simulations show the influence of different rolling parameters on the thickness profile and the shape of the strip.