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目前,在体系可靠指标对随机变量的敏感性分析中,没有考虑失效模式间的相关系数对随机变量的敏感性。针对这个问题,通过理论推导,得到了失效模式间的相关系数对随机变量的敏感性,进而修正了体系可靠指标对随机变量的敏感性表达式;根据敏感性定义及参考现行规范,提出了随机变量作为常量的判断标准。算例结果表明,修正的体系可靠指标对随机变量的敏感性表达式是正确的,提出的随机变量作为常量的标准是可行的。因此,本研究完善了体系可靠指标对随机变量的敏感性分析方法,为提高结构体系可靠指标的计算效率提供了理论依据。
At present, in the sensitivity analysis of the system reliability index to the random variables, the sensitivity of the correlation coefficient between the failure modes to the random variables is not considered. To solve this problem, the sensitivity of the correlation coefficient between failure modes to stochastic variables is obtained by theoretical derivation, and then the sensitivity expression of stochastic variables is corrected. According to the definition of sensitivity and the reference of current standards, Variables as constants of the criteria. The result of the example shows that the correct expression of the reliable index of the modified system is correct for the random variable, and the proposed random variable is feasible as the standard of the constant. Therefore, this study perfected the sensitivity analysis method of the system reliability index to the random variables, which provided the theoretical basis for improving the calculation efficiency of the reliable index of the structure system.