Abstract
The roll contour, as a key technology for strip shape control, plays a decisive role in ensuring the flatness quality. Due to the significant differences in the control capabilities for different strip widths, how to meet the control requirements under various specifications has become a current technical challenge. This study proposed a new width-balanced variable crown roll contour, utilising arbitrary-order polynomials to enhance adjustment capability. Objective functions were established for the higher-order and linear coefficients, and particle swarm optimisation was employed to optimise roll profile parameters based on the weight distribution of adjustment ranges across different width intervals. Three distinct weight distributions were formulated to analyse their effects on crown adjustment ranges and roll diameter differences. A simulation model demonstrated a significant increase in the crown adjustment domain of the width-balanced variable crown, while also revealing its drawback of exacerbating the uneven distribution of contact stress. Based on simulation data, control strategies for roll bending and roll shifting during presetting were developed. Finally, tests conducted on an actual industrial setup showed notable improvements in bending force and flatness quality for narrow strips, validating the effectiveness of the proposed roll contour in enhancing crown adjustment capability.
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