Abstract:The distribution of pressure between rolls was simulated by the polynomial expression, the coupled equations were established according to the roll deformation compatibility equations, and then solved by the least square and collocation method to get the distribution of pressure between rolls, and the roll system elastic deformation was obtained. A mathematical model for the shape of cold rolling strip on 4-high mill with roll shifted was established, which was on the base of combination of the least square and collocation method to solve roll system elastic deformation and the variation method to solve the lateral metal flow. Using the model, the distributions of tension stresses of aluminum strip were simulated, and the influence regulation of work roll shifted distance and bending force on the shape were given.

Key words: mill with roll shifted　least square and collocation method　variation method　shape