An Adaptive First-Order Reliability Analysis Method for Nonlinear Problems
Wang Zhiming; Zhang Yafei; Song Yalong
2020-04-14
Source PublicationMATHEMATICAL PROBLEMS IN ENGINEERING
ISSN1024-123X
Volume2020
Abstract

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.

KeywordEfficiency Iterative methods Nonlinear analysis Numerical methods
DOI10.1155/2020/3925689
Indexed BySCI ; SCIE ; EI
Language英语
Funding ProjectNational Natural Science Foundation of China[51565032] ; China Scholarship Council[201708625073]
WOS Research AreaEngineering ; Mathematics
WOS SubjectEngineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications
WOS IDWOS:000530379800005
PublisherHINDAWI LTD
EI Accession Number20201908615869
EI KeywordsReliability analysis
EI Classification Number913.1 Production Engineering - 921.6 Numerical Methods
Source libraryWOS
Citation statistics
Cited Times:3[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttps://ir.lut.edu.cn/handle/2XXMBERH/64287
Collection机电工程学院
Corresponding AuthorWang Zhiming
AffiliationLanzhou Univ Technol, Sch Mech & Elect Engn, Lanzhou 730050, Peoples R China
First Author AffilicationLanzhou University of Technology
Corresponding Author AffilicationLanzhou University of Technology
First Signature AffilicationLanzhou University of Technology
Recommended Citation
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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