Board shape control is an essential component of the rolling mill control system.[1]In our country, most aluminum hot-rolling production lines are equipped with only convexity gauges. However, as the thickness of hot-rolled strips decreases, the convexity cannot adequately reflect the precision requirements of the strips. During actual production, online monitoring of the lateral thickness distribution of aluminum strips is rarely conducted. In the actual production of cold-rolled sheets, due to the hereditary nature of the hot-rolled sheet shape, the thickness distribution at the inlet is directly related to the sheet shape, and the cold-rolling process cannot correct the sheet shape, leading to poor quality of cold-rolled sheets. Therefore, with the widespread use of hot-rolled strips and the increasing demand for strip product quality, establishing an online high-precision lateral thickness calculation model for hot-rolled aluminum strips to predict the lateral thickness distribution holds significant theoretical and engineering application value.[2,3,4,5]。

During the bloom rolling process, factors such as asymmetric process parameters like axial movement of the working rolls and roll wear can disrupt the force balance in the roller system, affecting the lateral thickness distribution of the rolled product, leading to poor sheet shape and reduced dimensional accuracy. Limited by current conditions, online sheet shape detection equipment is costly, and measurement precision is influenced by various factors. Mathematical models established based on traditional theories struggle to accurately predict lateral thickness distribution. However, considering the advantages of ease of implementation and convenient calculation, this paper establishes a lateral thickness mathematical model for strip based on the calculation method of rapid roller system elastic deformation. To meet the requirements of online sheet shape control, this paper analyzes the main factors affecting the lateral thickness distribution of strips based on actual production data from a hot rolling mill.[6,7,8]Established an online export calculation model for the lateral thickness distribution of strip steel, and applied this model to predict the lateral thickness distribution of another aluminum strip at different times to verify its high accuracy. Due to its ease of calculation and high precision, the model can be used to predict the lateral thickness distribution of strip steel and also to analyze the influence of various process parameters on the lateral thickness distribution.