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结构非概率可靠性的灵敏度分析对工程中非概率问题的分析预测和优化具有重要的指导作用。基于结构非概率可靠性指标理论,提出了结构非概率可靠性的灵敏度分析方法。针对极限状态函数为线性的情况,推导出了非概率可靠性灵敏度的解析解。在此基础上,结合函数线性化理论,提出了求解极限状态函数为非线性情况的非概率可靠性灵敏度的近似解析方法。基于求解非概率可靠性指标的优化方法,并结合差分理论,提出了求解非概率可靠性灵敏度的优化方法。给出了算例分析,结果表明了所提方法的可行性。
Sensitivity analysis of structural non-probabilistic reliability plays an important guiding role in the analysis, prediction and optimization of non-probabilistic problems in engineering. Based on the theory of structural non-probabilistic reliability index, a sensitivity analysis method of structure non-probabilistic reliability is proposed. For the case where the limit state function is linear, an analytical solution of non-probabilistic reliability sensitivity is derived. On this basis, combined with the function linearization theory, an approximate analytical method for solving the non-probabilistic reliability sensitivity of the limit state function to a nonlinear case is proposed. Based on the optimization method for solving the non-probabilistic reliability index and combining with the difference theory, an optimization method for solving the non-probabilistic reliability sensitivity is proposed. A case study is given and the result shows the feasibility of the proposed method.