Mathematical modeling and numerical experiments for strip shape prediction in tandem cold rolling
摘要
Shape defects are a major factor affecting the quality and dimensional accuracy of cold-rolled strip. However, due to the coupling and nonlinear characteristics of tandem cold rolling (TCR), it is challenging to pinpoint the exact causes and locations of shape defects between stands. To address this issue, a novel mathematical model is proposed to quantitatively predict shape deviations at the exit of each rolling stand. The model incorporates material inhomogeneity and inter-stand interactions to evaluate both thickness profile and flatness evolution throughout the TCR process. Validation against industrial measurements and finite element simulations demonstrates that the calculated center thickness deviations are within 5 µm, and the flatness error remains below 2 IU across all stands, confirming the accuracy and applicability of the model. Moreover, an alternative offline method is developed for efficiently evaluating the influence of shape control actuators on thickness profile and flatness. The evolution mechanism of strip shape in TCR is systematically analyzed, including the variation in loaded roll gap profile, stress distribution in contact deformation zone, and actuator-induced shape regulation. Finally, a shape control efficiency factor is introduced to quantitatively assess the actuator’s performance across different stands. These findings provide theoretical support and practical guidance for improving strip shape control in high-precision tandem cold rolling.