东南大学学报（英文版）2017，Vol.33Issue(1)：59-63,5.DOI:10.3969/j.issn.1003-7985.2017.01.010
基于多变量幂多项式展开的含随机参数结构可靠性分析
Reliability analysis of structure with random parameters based on multivariate power polynomial expansion
摘要
Abstract
A new method for calculating the failure probability of structures with random parameters is proposed based on multivariate power polynomial expansion,in which the uncertain quantities include material properties,structural geometric characteristics and static loads.The structural response is first expressed as a multivariable power polynomial expansion,of which the coefficients are then determined by utilizing the higher-order perturbation technique and Galerkin projection scheme.Then,the final performance function of the structure is determined.Due to the explicitness of the performance function,a multifold integral of the structural failure probability can be calculated directly by the Monte Carlo simulation,which only requires a small amount of computation time.Two numerical examples are presented to illustrate the accuracy and efficiency of the proposed method.It is shown that compared with the widely used first-order reliability method (FORM) and second-order reliability method (SORM),the results of the proposed method are closer to that of the direct Monte Carlo method,and it requires much less computational time.关键词
可靠度/随机参数/多变量幂多项式展开/摄动技术/伽辽金投影Key words
reliability/random parameters/multivariable power polynomial expansion/perturbation technique/Galerkin projection分类
数理科学引用本文复制引用
李烨君,黄斌..基于多变量幂多项式展开的含随机参数结构可靠性分析[J].东南大学学报（英文版）,2017,33(1):59-63,5.基金项目
The National Natural Science Foundation of China(No.51378407,51578431). （No.51378407,51578431）
