摘要
基于Info-Gap理论,在Minkowski范数中引入模糊参数,建立了一种具有模糊属性的Minkowski范数Info-Gap模型.进一步将其应用于Info-Gap可靠性分析,提出了二态失效假设情况下的结构模糊Info-Gap可靠性模型.应用模糊集理论,研究了可靠性指标的计算方法.新方法有效融合了区间凸集模型和椭球凸集模型,调和了在进行结构非概率可靠性分析中两种凸集模型产生的差异.算例分析验证了新方法的适用性和合理性.
A fuzzy Minkowski norm Info-Gap model was proposed by introducing a fuzzy parameter in Minkowski norm based on Info-Gap theory.Then the model was applied to Info-Gap reliability analysis,and the fuzzy Info-Gap reliability model for structures was proposed based on binary failure assumption.The calculation method of the reliability index was also studied by utilizing fuzzy sets theory.The new fuzzy Info-Gap model integrated the interval convex model and ellipsoidal convex model.The new reliability model fixed inconsistencies between the both convex models in non-probabilistic structural reliability analysis.Numerical example verified the rationality and applicability of the proposed method.
引文
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