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Consider the lateral dynamics of a strip between the uncoiler and the first stand of a cold rolling mill: operational problems are experienced in the metal rolling industry. Here we introduce a physically based model for the buckling of the strip between the uncoiler and the reduction mill. The model reveals, for the first time, that there exists a critical level of asymmetry in rolling conditions above which the strip motion becomes unstable. Below this level, two solutions of the steady-state model exist. Whereas one of these solutions represents a stable equilibrium, the other exhibits the features of unstable equilibrium. The motion of the strip is sensitive to the initial lateral

A model and numerical algorithm for the analysis of lateral movement of a metal strip during cold rolling are presented. The model includes a simplified description of the physical processes responsible for strip lateral movement, such as plastic deformation of the strip, elastic deformation of rolls, deformation and dynamics of the strip outside the plastic reduction region. The study is motivated by the operational problem experienced in the metal rolling industry. Numerical simulations reveal possible mechanisms of strip track-off and identify issues inviting further study.

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