针对薄宽冷轧带钢生产中常见的局部型板形瓢曲缺陷——高次局部浪形的屈曲变形过程进行了解析研究,采用高斯函数描述了局部屈曲情况下边界载荷的不均匀性,引入局部影响系数考虑局部屈曲行为过程中带钢平直部分对屈曲区域的影响,获得了临界屈曲条件与局部影响系数和局部屈曲区域宽度之间的关系,应用摄动法对局部屈曲的后屈曲路径进行了分析求解,通过对工业现场实例的仿真计算,验证了前屈曲计算的正确性,并获得了与现场实际浪形模态吻合良好的后屈曲模态。在实验轧机上设计了局部浪形的冷轧轧制实验,通过铝板轧制获得了局部浪形模态,进一步验证了解析计算结果。
The mechanism and deformation behavior of local buckling in the thin cold-rolled strip were studied by using analytical method. The uneven distribution of load in local shape wave was described by using Gaussian function, and the effect of the fiat part on the regional of buckling was considered by local buckling factor. Based on the lowest energy principle, the critical stress was achieved, and then the influence laws of the local buckling factor and the width of the regional of buckling to the critical stress were obtained. The path of the post-buckling was given by using perturbation method. The pre-buckling analytical method was verified by an analysis of the field cases, where the mode of post-buckling was in good accordance with the field local shape wave. The mode of local buckling was obtained by designing cold-rolling experiments in test mill, which further proved the correctness of the analytical model.