基于虚拟变量法的结构可靠度参数敏感性分析  

Parameters' Sensitivity Analysis of Structure Reliability Based on the Pseudo Variables Method

作　　者：龚文俊[1] 刘扬[1] 张建仁[1] 

机构地区：[1]长沙理工大学桥梁与结构工程学院,湖南长沙410076

出　　处：《长沙交通学院学报》2006年第1期12-16,共5页Journal of Changsha Communications University

基　　金：国家自然科学基金资助项目(50178011);交通部科研项目(200531572125)

摘　　要：在结构可靠度分析中,功能函数通常是强非线性的,并且随机变量之间往往存在相关性,这给基于一次二阶矩法原理的参数敏感性分析带来了困难。为此,提出了一种基于虚拟变量法的结构可靠度参数敏感性分析方法,推导了相关随机变量的敏感性计算公式,在计算可靠指标时无须求偏导,计算效率高。工程算例分析表明,在功能函数为非线性、变量之间相关的情况下,该计算方法是一种有效的结构可靠度敏感性分析方法。In analysis of structure reliability, nonlinear performance functions and variables＇ correlations result in the difficulty for the parameters sensitivity analysis, which usually is based on the principle of first and second order reliability method. A new method based on the pseudo variables method is introduced, in which the calculation of the partial differences of the structural failure function is avoided. In addition, the sensitivity analysis formulas considering correlated variables are suggested. Two examples show the efficiency and accuracy of this proposed algorithm.

关 键 词：虚拟变量法 可靠指标 参数敏感性 相关变量 

分 类 号：U441.5[建筑科学—桥梁与隧道工程]