An Adaptive First-Order Reliability Analysis Method for Nonlinear Problems
Joint Authors
Wang, Zhiming
Zhang, Yafei
Song, Yalong
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-04-14
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Wang, Zhiming& Zhang, Yafei& Song, Yalong. 2020. An Adaptive First-Order Reliability Analysis Method for Nonlinear Problems. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1194736
Modern Language Association (MLA)
Wang, Zhiming…[et al.]. An Adaptive First-Order Reliability Analysis Method for Nonlinear Problems. Mathematical Problems in Engineering No. 2020 (2020), pp.1-11.
https://search.emarefa.net/detail/BIM-1194736
American Medical Association (AMA)
Wang, Zhiming& Zhang, Yafei& Song, Yalong. An Adaptive First-Order Reliability Analysis Method for Nonlinear Problems. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1194736
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1194736