区间模型的结构可靠性度量方法研究

The Structural Reliability Measurement Method Based on Interval Model

推导了非概率可靠性指标在应力-强度6种不同取值区间关系图中的含义,给出一个非概率可靠性指标几何意义上的直观理解,提出了根据非概率可靠性指标在图中所对应的夹角大小,进行结构可靠状态的判断方法.针对6种区间关系,利用文章提出的图解法、Ishibuchi、Tanaka提出的区间不等式成立度方法、Sengupta、Pal提出的区间不等式的可接受度方法、非概率可靠性指标定义计算法以及结构安全度方法进行了区间模型的结构可靠性分析.研究发现5种方法对结构的可靠性判定具有一致性,最后通过算例进行了验证.

This paper derived the implication of the non-probabilistic reliability index in the 6 kinds of different relations diagram between stress and strength, gave an intuitive understanding in geometric meanings to non-probabilistic reliability index. The method was proposed which judges the state of the structure reliability in according to the angle in the graph of the non-probabilistic reliability index. In view of the six kinds of interval relationships, by using of the graphic method presented in this paper, establishment degree of interval inequality which proposed by Ishibuchi and Tanaka, the acceptable degree of interval inequality which proposed by Sengupta and Pal, the definition of non-probabilistic reliability index, as well as the structure safety degree method, the paper analyzed the reliability of the interval model for structure. It is found that the five methods are consistent on the reliability analysis of the structure. Finally, the method is verified by numerical examples.