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基于变形抗力和摩擦因数优化的冷轧轧制力预测模型

Prediction model of cold rolling force based on optimization of deformation resistance and friction coefficient

  • 摘要: 轧制力预测模型是冷轧设定控制系统的核心。由于冷轧过程中存在多变量、强耦合、非线性、时变性等复杂影响因素,导致传统轧制力理论模型预测精度低、经验参数依赖性强,无法满足高精度冷轧极薄带的生产要求。轧制力的设定主要取决于变形抗力和摩擦因数的计算精度,本文通过对经典的Bland-Ford-Hill 冷轧轧制力理论模型分析,建立了变形抗力和摩擦因数的逆计算公式,得到变形抗力和摩擦因数的真实值。然后,构建了差分进化算法(DE)优化的最小二乘支持向量机(LSSVM)模型(DE-LSSVM),将变形抗力和摩擦因数的真实值输入至DE-LSSVM中训练后,实现了对变形抗力和摩擦因数的修正,进而实现了轧制力理论预测模型的优化。实验结果表明:与传统轧制力理论模型相比,基于变形抗力和摩擦因数优化的轧制力预测模型的预测偏差可控制在5%以内。

     

    Abstract: The rolling force prediction model is the core of the cold rolling set control system. For a long time, the traditional rolling force theoretical model has exhibited low prediction accuracy and a strong dependence on empirical parameters due to the complex influencing factors in the cold rolling process, such as multivariable interactions, strong coupling, nonlinearity, and time-dependence. These limitations have hindered its ability to meet the production requirements of high-precision cold-rolled ultra-thin-gauge strips. The setting of the rolling force primarily depends on the calculation accuracy of deformation resistance and the friction coefficient. By analyzing the classical Bland-Ford-Hill cold rolling force theoretical model, inverse calculation formulas for deformation resistance and the friction coefficient were established, thereby obtaining their true values. Subsequently, a least squares support vector machine (LSSVM) model optimized by the differential evolution (DE) algorithm (DE-LSSVM) was constructed. By inputting the true values of deformation resistance and the friction coefficient into the DE-LSSVM for training, corrections were made to these parameters, thus optimizing the rolling force theoretical prediction model. Experimental results demonstrate that, compared with the traditional rolling force theoretical model, the deviation of the rolling force prediction model based on optimization of deformation resistance and friction coefficient is controlled within 5%.

     

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