将变形区划分为许多纵向条元，根据最小能量原理，通过对单个条元的变分，由欧拉微分方程求得条元上的出口横向位移函数模式，再通过对整个变形区的变分，由一组线性方程直接求得条元节线上的出口横向位移值，进而确定前张应力的横向分布。冷轧窄带和宽带的前张应力横向分布的计算结果与实验结果吻合较好，证明了该理论模型的正确性。 According to the principle of least energy, the transverse displacement function of exit on the strip element is obtained from the Euler differential equation by the variation of single strip element, and then through the analysis of the variation of the entire deformation zone , By a set of linear equations obtained directly on the export section of the column transverse displacement value, and then determine the horizontal distribution of the pre-stress. The calculated results of the transverse distribution of the pre-tensile stress in cold-rolled narrowband and broadband agree well with the experimental results, which proves the correctness of the theoretical model.