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Mathematical modeling of the contour evolution of heavy plates in hot rolling

机译：热轧厚板轮廓演变的数学模型

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摘要

This paper deals with modeling of the contour evolution of heavy plates in hot rolling. During the rolling process asymmetric rolling conditions, such as temperature gradients or non-homogeneous input thickness profiles, may lead to a non-rectangular plate contour. A continuum mechanics approach is employed to systematically derive the contour evolution of the plate based on the input and output thickness. The mathematical model covering deviations in two dimensions is solved using methods for plane problems in mechanics. A comparison between the simulated contour evolution and measurement data from a real rolling process indicates the good accuracy of the model. Moreover, the model can be executed within one millisecond on a standard computer which stresses its realtime capability. A short analysis of the main reasons for the generation of camber utilizing the proposed model is presented.
机译：本文涉及热轧中厚板轮廓演变的建模。在轧制过程中，不对称的轧制条件（例如温度梯度或不均匀的输入厚度分布）可能会导致板形不规则。基于输入和输出厚度，采用连续力学方法来系统地得出板的轮廓演变。使用解决力学中平面问题的方法来求解涵盖二维偏差的数学模型。模拟轮廓演变和来自真实轧制过程的测量数据之间的比较表明该模型具有良好的准确性。此外，该模型可以在标准计算机上在一毫秒内执行，这强调了其实时能力。简要分析了利用提出的模型产生外倾的主要原因。

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