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中文摘要：
基于区间数学理论、灵敏度分析理论、Kronecker代数理论，应用Taylor级数展开、概率摄动技术，提出了具有不确定参数结构的特征值问题的区间分析方法。结合工程实例与传统的概率分析方法进行比较，给出了两种方法的数值解法及各自解法的Kronecker代数形式。数值算例的结果显示了区间分析方法在具有不确定参数结构特征值问题分析中的价值和有效性。
英文摘要：
Based on the interval mathematics, the sensitivity analysis theory and the Kronecker algebra, applying the Tayler series expand method and the probabilistic perturbation technique, the non-probabilistic interval analysis method is presented in this article to solve the eigenvalue problem of uncertain parameter structure system. It is also compared with the traditional stochastic method. Numerical algorithm of the two methods and the expressions in the Kronecker algebra of the two methods are given in this article. The results are applied and compared in the same engineering example. The interval analysis method is proved out in solving the eigenvalue problem of random structure system.
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