中文摘要：

为决定到 uncertain-but-bounded 推动的结构的最大、最小的冲动的回答被介绍的二个非概率的、集合理论的方法。分别地，他们基于间隔数学和凸的模型的理论。uncertain-but-bounded 推动被假定是一个凸的集合，超或椭圆体。为二个非概率的方法，不太优先的信息比概率的模型关于推动的不明确的性质被要求。在间隔分析方法和凸的模型之间的比较，作为发现最少有利冲动的反应和最有利的冲动的反应的一个反优化问题被开发，通过数学分析和数字计算被做。这研究的结果显示在从包含不明确的推动的一个椭圆体是坚定的间隔向量的条件下面，冲动的回答的宽度由间隔分析预言方法由凸的模型比那大；在从包含不明确的推动的间隔向量是坚定的椭圆体的条件下面，冲动的回答由间隔分析方法获得了的间隔的宽度由凸的模型是比那小的。

英文摘要：

Two non-probabilistic, set-theoretical methods for determining the maximum and minimum impulsive responses of structures to uncertain-but-bounded impulses are presented. They are, respectively, based on the theories of interval mathematics and convex models. The uncertain-but-bounded impulses are assumed to be a convex set, hyper-rectangle or ellipsoid. For the two non-probabilistic methods, less prior information is required about the uncertain nature of impulses than the probabilistic model. Comparisons between the interval analysis method and the convex model, which are developed as an anti-optimization problem of finding the least favorable impulsive response and the most favorable impulsive response, are made through mathematical analyses and numerical calculations. The results of this study indicate that under the condition of the interval vector being determined from an ellipsoid containing the uncertain impulses, the width of the impulsive responses predicted by the interval analysis method is larger than that by the convex model; under the condition of the ellipsoid being determined from an interval vector containing the uncertain impulses, the width of the interval impulsive responses obtained by the interval analysis method is smaller than that by the convex model.