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针对目前带钢横断面形状特征参数识别方法的缺点,分析普通多项式识别精度差的主要原因,基于弹性半空间理论,推导了多项式分布力作用下轧辊弹性压扁的解析表达式,将其与普通四次多项式联合作为带钢横断面形状的基本特征模式,通过最小二乘原理得到特征参数。方法的主要特色是特征参数物理意义明确,有利于参数识别后相应控制手段的调节,同时在整个带钢宽度方向上只采用一个函数进行描述,无需分段处理,简化了计算过程。最终通过实测数据对比了各种方法的精度与稳定性,结果表明,基于弹性压扁机理的识别方法在带钢边部与中部均与实测断面吻合很好,其识别精度与稳定性是各种方法中最令人满意的。
Aiming at the shortcomings of current strip shape feature parameter identification methods, the main reason for the poor recognition accuracy of common polynomials is analyzed. Based on the elastic half-space theory, the analytical expression for elastic flattening of a roll under polynomial distribution force is deduced. The quadratic polynomial union is taken as the basic characteristic mode of the cross-sectional shape of the strip, and the characteristic parameters are obtained by the principle of least squares. The main characteristic of the method is that the physical meaning of the characteristic parameters is clear, which is conducive to the adjustment of the corresponding control measures after the parameter identification. At the same time, only one function is used to describe the width direction of the strip, and no segmentation processing is required, which simplifies the calculation process. Finally, the accuracy and stability of various methods are compared by the measured data. The results show that the identification method based on the elastic flattening mechanism is in good agreement with the measured section in the edge and the middle of the strip, and its recognition accuracy and stability are various The most satisfactory method.