Roll Pass Design Methods For Three- And Four-roll Rolling Mills – Comparison And Analysis*

In bar and wire rod mills, rolling procedures featuring three- and four-roll technologies are state-of-the-art to produce high-quality long products. While a rolling model for the three-roll process including an equivalent pass method was already presented by the author, pass design methods are dealt with in the current work. The geometry of the rolled product and roll grooves are described mathematically using functional contours, allowing geometric-numerical methods to be used for manipulation and deformation simulation of the rolled product. For a given pass, the output section is constructed using these methods. Roll force, torque and rolling power are calculated using the mathematical rolling model presented before. Interstand tensions are discussed as influencing parameters on the force, torque and power demands, as well as on the section shape. A mathematical model for the influence of interstand tensions on lateral spread is incorporated in the model. To complete the pass design model, elastic mill stand feedback is considered in terms of a fixed elastic modulus for each rolling stand, the elastic feedback and therefore cross-sectional variation due to elastic mill spring being calculated iteratively from the roll force by application of the Gagemeter equation. The interaction of section height and width faults due to elastic mill spring and spread variations is analyzed in detail and the consequences for the roll pass design are shown.