论文:2023,Vol:41,Issue(1):105-114
引用本文:
赵超帆, 袁修开, 陈敬强. 结构全局失效概率函数估计的自适应增强线抽样方法[J]. 西北工业大学学报
ZHAO Chaofan, YUAN Xiukai, CHEN Jingqiang. Structural global failure probability function estimation based on adaptive augmented line sampling method[J]. Journal of Northwestern Polytechnical University

结构全局失效概率函数估计的自适应增强线抽样方法
赵超帆, 袁修开, 陈敬强
厦门大学 航空航天学院, 福建 厦门 361005
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。
关键词:    失效概率函数    线抽样    最优组合算法    变异系数   
Structural global failure probability function estimation based on adaptive augmented line sampling method
ZHAO Chaofan, YUAN Xiukai, CHEN Jingqiang
School of Aerospace Engineering, Xiamen University, Xiamen 361005, China
Abstract:
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.
Key words:    failure probability function    line sampling    optimal combination algorithm    coefficient of variation   
收稿日期: 2022-04-24     修回日期:
DOI: 10.1051/jnwpu/20234110105
基金项目: 航空科学基金(20170968002)资助
通讯作者: 袁修开(1981-),厦门大学副教授,主要从事结构可靠性分析及优化研究。e-mail:xiukaiyuan@xmu.edu.cn     Email:xiukaiyuan@xmu.edu.cn
作者简介: 赵超帆(1995-),厦门大学硕士研究生,主要从事可靠性优化研究。
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