Design calculations for roll assemblies that undergo axial displacement in sheet cold-rolling mills

New methods are proposed for determining the main parameters of four- and six-roll CVC stands with S-shaped work rolls. The methods take into account the design of the intermediate and backup rolls of cold reduction mills and the possible maximum and minimum elastic strains, heat-induced convexity, and wear of the bodies of the work rolls. A mathematical model is proposed for determining the axial displacement of S-shaped work rolls with variable rolling conditions in order to be able to control the flatness of the coldrolled products. The model was successfully tested using initial data corresponding to the actual operating regime of cold reduction mills. The results of the modeling showed that an increase in the reduction of the product requires an increase in the axial displacement, which results in greater deflection of the rolls. An increase in the width of the product requires a decrease in the axial displacement, since the flattening of the contact regions of the rolls becomes more uniform in this case. The study results can be used in