基于模糊随机概率理论的可靠度分析模型

Unified model for structural reliability analysis based on fuzzy random probabilistic theory

应用模糊随机概率理论，提出了考虑随机性和模糊性影响的结构可靠度分析统一模型——模糊随机模型；并给出了各种条件下结构可靠度分析表达式。研究表明，采用模糊随机模型作为各种情况下结构可靠性分析的统一数学模型更为科学合理、更符合工程实际。模糊随机模型和传统的随机模型是相容的，而且后者是前者的特例。

Traditional structural reliability analysis theory is generalized and developed.Aunified model for structural reliability analysis considering the effect of both randomness andfuzziness fuzzy random medel,based on the fuzzy random probabilistic theory,is proposedand some formulae for structural reliability analysis in some specific cases are given. Studies showthat the fuzzy random medel proposed and the traditional random model are compatible and thelatter is a special case of the former.