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针对模糊非概率混合不确定性下结构可靠性分析问题,基于模糊数学分解原理将混合可靠性分析模型转化为[0,1]内连续分布隶属度水平下的非概率可靠性分析模型;针对非概率可靠度计算复杂性,基于逐维策略将结构功能函数最值的计算转化为最值点向量的逐维计算,提出一种确定结构功能函数界限的算法;通过在[0,1]内遍历隶属度值确定结构可靠度的隶属度函数实现结构可靠度模糊性的定量化.算例表明该方法的合理性,计算精度高和计算量小的特点为复杂工程结构可靠度分析及优化设计提供了可行途径.
Aiming at the problem of structural reliability analysis under fuzzy non-probabilistic mixture uncertainties, the mixed reliability analysis model is transformed into the non-probabilistic reliability analysis model under the continuous distribution membership degree in [0,1] based on the principle of fuzzy mathematical decomposition. Based on the dimension-by-dimension strategy, the calculation of the maximum value of the structural function function is transformed into the dimension-by-dimension calculation of the most value point vector. An algorithm for determining the limit of the structure function function is proposed. By traversing [0,1] The membership function is used to determine the degree of membership function of structure reliability to quantify the fuzziness of structural reliability.Examples show that the proposed method is reasonable, highly accurate and less computationally intensive.It provides the reliability analysis and optimal design of complex engineering structures The feasible way.