冷轧带钢卷取过程内应力的逐层增量求解

Incremental solution of internal stress in coiling process of cold rolled strip

带钢卷取过程由于张力的作用会在钢卷内部产生内应力,内应力的大小和分布直接影响轧后钢卷塌卷和内凸等缺陷的产生。考虑钢卷径向和周向弹性模量的差异,以及径向弹性模量的非线性,根据平面轴对称弹性理论,推导带钢卷取过程中内应力的逐层增量求解方程,引入相应的边界条件得到了卷取任意层数时钢卷内每一层带钢径向应力增量和位移增量方程组。基于逐层增量求解方法研究了带钢厚度、卷取张力、卸卷对卷筒压力和钢卷内应力分布的影响,并与试验结果进行了比较,验证了提出方法的正确性。

The coiling process of strip steel produces internal stress in the coil due to the action of tension.The magnitude and distribution of the internal stress directly affect the occurrence of defects such as the coil collapse and the convexity after rolling.Considering the difference of the radial and circumferential elastic modulus of the coil and the nonlinearity of the radial elastic modulus,based on the plane axisymmetric elastic theory to deduce the incremental solution equation of the internal stress in the coiling process,introducing the corresponding boundary conditions,the article obtains the equations of radial stress increment and displacement increment for each layer of strip in coil with arbitrary number of coiling layers.The effect of strip thickness and coiling tension and unwinding on the drum pressure and stress distribution in the coil is studied based on the incremental solution method.The results are compared with the experimental results,and the correctness of the proposed method is verified.