非概率模型中基本区间变量的重要性测度  

IMPORTANCE MEASURE OF BASIC INTERVAL VARIABLE IN NON-PROBABILISTIC MODEL

作　　者：唐樟春[1] 吕震宙[1] 吕媛波[1] 

机构地区：[1]西北工业大学航空学院,西安710072

出　　处：《机械强度》2011年第6期839-844,共6页Journal of Mechanical Strength

基　　金：国家自然科学基金(50875213);航空基金(2007ZA53012);国家863计划课题(2007AA04Z401);科技重大专项(2009ZX04014-015-03)资助~~

摘　　要：针对区间变量情况下的非概率可靠性模型,提出一种基本区间变量对系统非概率可靠性指标影响的非概率重要性测度。所提非概率重要性测度可以直接全面地反映基本区间变量对结构安全影响的重要程度,从而指导工程设计。文中分析非概率重要性测度的基本性质,而后基于蒙特卡洛方法和区间模型非概率可靠性指标的一维优化算法,提出非概率重要性测度的求解方法,同时给出该方法的原理和实现步骤,最后采用算例验证所提方法的精度和效率。For basic interval variable in non-probabilistic model,a new non-probabilistic importance measure is presented to measure the effect of the basic interval variable on the non-probabilistic reliability index of system.The non-probabilistic importance measure can directly provide the global effect of the basic interval variables on the structure safety,thus it is able to guide engineering design.The main properties of the non-probabilistic importance measure are discussed,then Monte Carlo method and one-dimensional optimization algorithm are employed to estimate the non-probabilistic importance measure.The concept and the implementation of the presented method are described step by step,and several examples are used to demonstrate the efficiency and the precision of the presented method.

关 键 词：非概率可靠性指标 非概率重要性测度 区间变量 蒙特卡洛法 一维优化算法 

分 类 号：TB114.3[理学—概率论与数理统计]