Abstract
In this paper, a mathematical deflection model of a leveler for cold heavy plates is presented. The model calculates the work roll profile and the leveling forces for a given plate and adjustment of the leveler. The force-deflection relations of the machine model are combined with a nonlinear plate model and solved for the unknown displacements of the work rolls. The plate model is based on a leveling model found in literature. The analytical solution of this model ensures a short computation time. Therefore, the model is suitable for feedforward control and optimization. Finally, the model serves as a basis for calculating the optimal adjustment of the leveler subject to force constraints, which avoids overloading of the machine.
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