不锈钢冷连轧轧制力显函数模型的开发与应用

针对不锈钢冷连轧生产工艺，提出动态变形抗力概念，利用四辊可逆冷轧机和Inston高速拉伸实验机进行轧制-拉伸实验，在MMS-200热模拟实验机上测定不锈钢的应力-应变曲线，建立不锈钢动态变形抗力模型。在Hill方程的基础上建立了轧制力显函数模型，并通过变形抗力和摩擦因数的逆向回归计算实现模型的在线自学习。提出了适合轧制力模型的可信度评估方法，引入Theil不等式系数法，依据TIC值定性分析了模型的适用性。最终确立了适合于冷连轧生产的精确的轧制力显函数模型，并将其应用到生产实践中。统计结果表明：冷连轧过程中轧制力的模型计算值与实测值的相对误差小于3.67%，该模型具有良好的计算精度和较好的泛化能力，适合于工业生产实践。

Development and application of explicit function model on rolling force for stainless steel in tandem cold rolling

The conception of dynamic deformation resistance was put forward considering tandem cold rolling of stainless steel. In order to establish the model of dynamic deformation resistance for stainless steel, cold rolling and tensiling of stainless steel strip was studied in the laboratory through cold four-high reversible mill and Inston tensile testing machine. Meanwhile, stress-strain curves of stainless steel were gained with MMS-200 thermo-mechanical simulator. Based on the Hill equation, explicit function model on rolling force was built, the self-adaptive learning of which can be achieved by converse regression calculation of deformation resistance and friction coefficient on line. An evaluation method of the confidence level of rolling force model was also presented. Thiel inequality coefficient method was introduced, and then the TIC (Theil Inequality Coefficient) value of model was computed to analyze qualitatively the applicability of model. Ultimately, the precise mathematical model on rolling force for cold tandem rolling of stainless steel was established, and it was put into practical production. Statistics show that the measured data was in excellent agreement with the model, and exactly, the relative deviation on rolling force was less than 3.67%. The model has high precision and good generalization capability. It is applicable for industrial production.