中文摘要：

研究了动载作用下含有不确定初始几何缺陷壳的动态屈曲问题．给出了不确定初始几何缺陷在椭球描述和区间描述下，壳的动态响应和安全因子的界限估计．从数学证明和数值算例两方面，讨论了基于不确定性初始几何缺陷两种描述的凸模型方法和区间分析方法所得壳动态响应及安全因子的界限的关系，为判断壳的动态屈曲失效提供了依据．

英文摘要：

Dynamic buckling of shells with uncertain initial geometrical imperfections under axially loading are studied,in this paper. With the ellipsoid and interval description of the uncertain initial geometrical imperfections, the bounds on the dynamic responses and safety factor of shells are evaluated. The relationship of the bounds of dynamic buckling responses and safety factor between convex model method and interval analysis method based on the two kinds of descriptions on uncertain initial geometrical imperfection are discussed mathematically and numerically. ,which provides a reference for judging the dynamic buckling failure of shells.