An Adaptive First-Order Reliability Analysis Method for Nonlinear Problems
Wang Zhiming; Zhang Yafei; Song Yalong
2020-04-14
发表期刊MATHEMATICAL PROBLEMS IN ENGINEERING
ISSN1024-123X
卷号2020
摘要

The HL-RF algorithm of the first-order reliability method (FORM) is a widely useful tool in structural reliability analysis. However, the iteration results of HL-RF algorithm may not converge due to periodic cycles for some highly nonlinear reliability problems. In this paper, an adaptive first-order reliability method (AFORM) is proposed to improve solution efficiency for some highly nonlinear reliability problems by introducing an adaptive factor. In AFORM, based on the two-parameter approximate first-order reliability method, the new iteration point and the previous iteration point are used to obtain the corresponding angle, and the result of convergence is judged by angle condition. According to the convergence degree of the results, two iteration parameters of the approximate reliability method are adjusted continuously by adaptive factor. Moreover, iteration step size is adjusted by changing the parameters to improve the efficiency and robustness of FORM. Finally, four numerical examples and one mechanical reliability analysis example are used to verify the proposed method. Compared with the different algorithms, the results show that AFORM has better efficiency and robustness for some highly nonlinear reliability problems.

关键词Efficiency Iterative methods Nonlinear analysis Numerical methods
DOI10.1155/2020/3925689
收录类别SCI ; SCIE ; EI
语种英语
资助项目National Natural Science Foundation of China[51565032] ; China Scholarship Council[201708625073]
WOS研究方向Engineering ; Mathematics
WOS类目Engineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications
WOS记录号WOS:000530379800005
出版者HINDAWI LTD
EI入藏号20201908615869
EI主题词Reliability analysis
EI分类号913.1 Production Engineering - 921.6 Numerical Methods
来源库WOS
引用统计
被引频次:3[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符https://ir.lut.edu.cn/handle/2XXMBERH/64287
专题机电工程学院
通讯作者Wang Zhiming
作者单位Lanzhou Univ Technol, Sch Mech & Elect Engn, Lanzhou 730050, Peoples R China
第一作者单位兰州理工大学
通讯作者单位兰州理工大学
第一作者的第一单位兰州理工大学
推荐引用方式
GB/T 7714
Wang Zhiming,Zhang Yafei,Song Yalong. An Adaptive First-Order Reliability Analysis Method for Nonlinear Problems[J]. MATHEMATICAL PROBLEMS IN ENGINEERING,2020,2020.
APA Wang Zhiming,Zhang Yafei,&Song Yalong.(2020).An Adaptive First-Order Reliability Analysis Method for Nonlinear Problems.MATHEMATICAL PROBLEMS IN ENGINEERING,2020.
MLA Wang Zhiming,et al."An Adaptive First-Order Reliability Analysis Method for Nonlinear Problems".MATHEMATICAL PROBLEMS IN ENGINEERING 2020(2020).
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