Theoretical study of rolling force during width control in edge rolling

Vertical mill is usually installed on the roughing trains to improve the width of the slab control precision and adjust the shape of edge during hot rolling. Because of the high ratio of width to thickness in edge rolling, the deformation of slab is mainly restricted in a small zone on the edge and this is different from the horizontal rolling. There is not a suitable formula to calculate the edge rolling force. With variable upper limit integration, the GM (Geometrical Midline) yield criterion and mean value theorem, as well as the vector inner product method are used respectively in integration of plastic deformation, shear and friction power terms. Then analytical solutions of slab total power functional and rolling force in edge rolling are obtained. The analytical rolling force of the model is in good agreement with those of data in a strip rolling plant. By this proposed analytical model, it is noted that the calculation time and computer expense are saved, and the precision can satisfy the requirement of production control.

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