区间干涉下衬砌结构系统非概率可靠度研究

Non-probabilistic Reliability Research on the Lining Structure Systems in Interval Interference Situation

研究目的:衬砌结构进行非概率可靠性分析时,非概率可靠度指标0<η<1,结构发生应力-强度区间干涉。同时衬砌结构系统可靠度分析时,系统各单元失效概率多采用基于概率理论和模糊理论的传统方法。基于此,本文提出应力-强度非概率区间干涉模型,以失效域面积与不确定变量构成的总面积之比表征衬砌结构非概率失效度,并结合"概率网络估算法"将其运用在隧道结构系统非概率可靠度分析中。研究结论:(1)成功解决了区间干涉情况下衬砌结构非概率失效度的求解问题,并且证明了非概率失效度与概率理论所得失效度具有相容性;(2)可以运用衬砌结构区间干涉模型对隧道结构系统中各衬砌单元进行非概率可靠度计算分析;(3)该研究成果为隧道结构系统可靠度分析提供了一种新的可行方法,同时使实际工程中非概率可靠度分析中的区间干涉问题得到解决。

Research purposes： In the program of non - probabilistic reliability analysis of lining structure, stress and intensity interval interference will occur when the non - probabilistic reliability index is 0 〈 η〈 1. At the same time when analyzing reliability of the lining structural system, failure probability of each unit system usually was calculated by using the traditional methods based on probability theory and fuzzy theory. In this paper, the stress -strength interference model was proposed, the ratio of the area of failure region to the total area of the region constructed by the basic interval variables was taken as the non - probability failure degree of lining structure and the PENT method was combined with the non - probabilistic reliability analysis of the whole tunnel structural system. Research conclusions： （ 1 ） The problem of non - probability failure degrees of lining structure under interference situation was successful solved, which showed the non - probability failure degree having compatibility with that from the failure probability. （2）Interval interference lining structure model could be used to calculate non -probability failure of lining structural unit in the tunnel structural system. （3）The results provide a new feasible method for the tunnel structure system reliability analysis interference problem also have been , while in the non - probabilistic reliability analysis of actual project interval solved