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研究了非概率不确定性量和模糊变量共存时的结构可靠性问题.以结构极限状态函数和模糊变量隶属函数为条件,基于可能性理论导出了结构的模糊失效域和模糊安全域及其隶属函数,将原混合可靠性问题转化为模糊失效准则下的非概率可靠性问题;在结构非概率可靠性模型的基础上,建立了模糊失效准则下的结构非概率可靠性指标;提出了一般性的非概率不确定性量和模糊变量共存时的结构可靠性分析方法,该方法能同时考虑非概率不确定性波动和模糊变量的可能性分布,更合理地评价结构可靠性.
This paper studies the structural reliability problem when non-probabilistic uncertainties and fuzzy variables coexist.Under the condition of structural limit state function and membership function of fuzzy variables, the fuzzy invalid domain and fuzzy security domain of the structure and its membership are derived based on the possibility theory Function, the original mixed reliability problem is transformed into the non-probabilistic reliability problem under the fuzzy failure criterion. Based on the non-probabilistic reliability model, the non-probabilistic reliability index under the fuzzy failure criterion is established. The non-probabilistic uncertainty and the structural reliability analysis when the fuzzy variables coexist. This method can consider the probability distribution of non-probabilistic uncertainty volatility and fuzzy variables at the same time and evaluate the reliability of the structure more reasonably.