结构全局失效概率函数估计的自适应增强线抽样方法  

Structural global failure probability function estimation based on adaptive augmented line sampling method

作　　者：赵超帆 袁修开 陈敬强 ZHAO Chaofan;YUAN Xiukai;CHEN Jingqiang(School of Aerospace Engineering,Xiamen University,Xiamen 361005,China)

机构地区：[1]厦门大学航空航天学院,福建厦门361005

出　　处：《西北工业大学学报》2023年第1期105-114,共10页Journal of Northwestern Polytechnical University

基　　金：航空科学基金(20170968002)资助。

摘　　要：针对结构可靠性分析和设计中参数失效概率函数的求解难题,提出一种自适应增强线抽样的失效概率函数全局估计方法。所提方法通过一种自适应策略在设计参数空间特定值处,运用增强线抽样方法得到一系列局部失效概率函数估计;提出基于变异系数最小的最优组合算法,将各局部失效概率函数估计融合成全局的失效概率函数估计。所提方法与已有方法相比,进一步提高了失效概率函数估计的精度和效率。通过给出数值和工程算例说明所提方法适用性及在分析计算精度和效率上的优越性。A global failure probability function estimation method based on the adaptive augmented line sampling method is proposed to solve the parameter failure probability functions in structural reliability analysis and design.The proposed method uses an adaptive strategy to carry out a series of local failure probability function estimations at specific values in the design parameter space by using the augmented line sampling method.Then an optimal combination algorithm based on the minimum variation of coefficient is proposed to integrate all the local failure probability function estimations into a global estimation.Compared with the existing methods,the proposed method further improves the accuracy and efficiency of estimating failure probability functions.Finally,numerical and engineering examples are provided to demonstrate the applicability and superiority of the proposed method in analyzing calculation accuracy and efficiency.

关 键 词：失效概率函数 线抽样 最优组合算法 变异系数 

分 类 号：TB114.3[理学—概率论与数理统计]