结构可靠性灵敏度因子的新标准化指标

鉴于以往可靠性灵敏度在不同算法下数值差异性较大，可靠性灵敏度数值仅能进行简单的重要性排序，数值本身难以反映出基本变量对输出不确定性的影响程度，提出了标准化灵敏度因子及标准化灵敏度因子向量。据此，其分量不仅反映了基本变量对输出不确定性的影响，还袁征了此变量在全部变量中对输出不确定性的重要性程度，在数值上具有明确的物理意义，进一步在线性机构条件下推导出标准化灵敏度因子的具体求解公式。经数值算例分析，算法简单易行，运算量小，计算效率高。

New Standardized Indicators of Structural Reliability Sensitivity

The relatively great numerical differences of the reliability sensitivity with different algorithms in the previous research make it difficult to assess the single variable. The reliability sensitivity values can only get the order of the importance of the basic variables. But the individual value can＇t accurately reflect the influence of the basic variables on the uncertainty of the outputs. Thus the standardized sensitivity fac- torand the standardized sensitivity factor vectorhave been proposed in this paper. And the results showed that the individual sensitivity indicator can not only reflect the influence of the basic variables on uncer- tainty of output values, but also the importance of these basic variables to the uncertainty of output val- ues. Numerically, they have clear physical meaning. In addition, by deducing, the standardized sensitivity factor function under the linear condition has been proposed. Being verified, the algorithm is so simple and efficient.