结构可靠性分析的模糊概率积分法

针对传统应力-强度干涉法计算结构可靠度时求解材料疲劳强度分布困难的情况,提出了一种利用模糊概率理论直接求解结构可靠度的算法——模糊概率积分法。对该方法进行了理论推导;同时考虑到方法应用过程中可能出现方程重积分困难的情况,又给出了以该方法为基础的数值抽样技术,用以计算结构可靠度的近似值。最后给出一个在航空发动机上的应用算例,计算结果表明该方法快速、有效,适合于工程应用。

Fussy Probability Integral Method for Structural Reliability Evaluation

Great difficulty exists in the process of reliability estimation by traditional stress strength interference method,therefore an approach named as Fussy Probability Integral(FPI) method is investigated.This approach is capable of evaluating structural reliability directly without the demand of strength distributions,which makes the approach itself fast and efficient.Details on this approach and its principle are presented.After that,a sampling method based on FPI is also studied to estimate an approximate value of the structure reliability in case of probably dual integral difficulties in the applications of FPI method.At the end,a real case of application on a turbine engine is presented to validate its applicability and reliability.