结构可靠性灵敏度因子的新标准化指标  

New Standardized Indicators of Structural Reliability Sensitivity

作　　者：吕程诚[1] 高宗战[1] 张峰[1] 刘永寿[1] 陈政辩[1] 

机构地区：[1]西北工业大学力学与土木建筑学院飞行器可靠性工程研究所,陕西西安710129

出　　处：《航空计算技术》2013年第5期27-30,35,共5页Aeronautical Computing Technique

基　　金：航空科学基础基金项目资助(2011ZA53014);航天支撑基金项目资助(NBXW0001)

摘　　要：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,还表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。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.

关 键 词：可靠性 标准化指标 失效概率 标准化灵敏度因子向量 

分 类 号：O213.1[理学—概率论与数理统计]