Research on rapid online calculation methods of roll stack deformation

Elastic deformation calculation of work roll and backup roll is a key part of shape setup model in strip rolling mill, its numerical efficiency and accuracy are the main factors that have restricted the application of online calculation. In the aspect of physical modeling, comparing with the conventional influence function method, the physical model of roll stack is improved by the introduction of central inclination angle of work roll, thus the balance of bending moment will be met even in an asymmetric work condition. In the aspect of numerical calculation, the equilibrium differential equations of deformation are established based on Timoshenko's deep beam theory, and mathematic model of roll stack deformation is fully deduced by finite difference method, then the angular displacement and elastic deformation are calculated under asymmetric work condition. This numerical model employs recurrent formula instead of influence function method for deformation calculation, therefore, the computation complexity is largely reduced by a considerable reduction of matrix multiplication. High computational accuracy and efficiency of rapid roll stack deformation model based on finite difference method are validated respectively by contrasting with the influence function method and the finite element method in an asymmetric work condition. ©2012 Journal of Mechanical Engineering.