Generalized first-order second-moment method for uncertain random structures
In this paper, a new reliability assessing method for structures influenced by both aleatory and epistemic uncertainty simultaneously is developed. To handle hybrid types of uncertainties, chance theory is introduced to define a new hybrid reliability index. By mathematical derivation and theorems p...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-04-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2023682?viewType=HTML |
| _version_ | 1797844050684936192 |
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| author | Yubing Chen Meilin Wen Qingyuan Zhang Yu Zhou Rui Kang |
| author_facet | Yubing Chen Meilin Wen Qingyuan Zhang Yu Zhou Rui Kang |
| author_sort | Yubing Chen |
| collection | DOAJ |
| description | In this paper, a new reliability assessing method for structures influenced by both aleatory and epistemic uncertainty simultaneously is developed. To handle hybrid types of uncertainties, chance theory is introduced to define a new hybrid reliability index. By mathematical derivation and theorems proofs, the new index is showed to be effective and compatible with hybrid types of uncertainties. Correspondingly, a generalized first-order second-moment (GFOSM) algorithm is established for practical reliability assessment of structures with hybrid uncertainties. Based on the first two moments of basic variables, the GFOSM method can perform fast and effective reliability assessment without large-scale integration operations and can be considered as an extension and expansion of the traditional FOSM method. Two numerical cases further illustrate the effectiveness and practicability of the proposed method from different perspectives. |
| first_indexed | 2024-04-09T17:16:12Z |
| format | Article |
| id | doaj.art-6f1eb357be6a4ca291730a61a9c92506 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-09T17:16:12Z |
| publishDate | 2023-04-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-6f1eb357be6a4ca291730a61a9c925062023-04-20T01:19:04ZengAIMS PressAIMS Mathematics2473-69882023-04-0186134541347210.3934/math.2023682Generalized first-order second-moment method for uncertain random structuresYubing Chen0Meilin Wen1Qingyuan Zhang2Yu Zhou3Rui Kang41. School of Reliability and Systems Engineering, Beihang University, Beijing 100191, China 2. The Key Laboratory on Reliability and Environmental Engineering Technology, Beijing 100191, China1. School of Reliability and Systems Engineering, Beihang University, Beijing 100191, China 2. The Key Laboratory on Reliability and Environmental Engineering Technology, Beijing 100191, China2. The Key Laboratory on Reliability and Environmental Engineering Technology, Beijing 100191, China 3. School of Aeronautic Science and Engineering, Beihang University, Beijing 100191, China4. Yunnan Design Institute Group Co., LTD, Kunming 650103, China1. School of Reliability and Systems Engineering, Beihang University, Beijing 100191, China 2. The Key Laboratory on Reliability and Environmental Engineering Technology, Beijing 100191, ChinaIn this paper, a new reliability assessing method for structures influenced by both aleatory and epistemic uncertainty simultaneously is developed. To handle hybrid types of uncertainties, chance theory is introduced to define a new hybrid reliability index. By mathematical derivation and theorems proofs, the new index is showed to be effective and compatible with hybrid types of uncertainties. Correspondingly, a generalized first-order second-moment (GFOSM) algorithm is established for practical reliability assessment of structures with hybrid uncertainties. Based on the first two moments of basic variables, the GFOSM method can perform fast and effective reliability assessment without large-scale integration operations and can be considered as an extension and expansion of the traditional FOSM method. Two numerical cases further illustrate the effectiveness and practicability of the proposed method from different perspectives.https://www.aimspress.com/article/doi/10.3934/math.2023682?viewType=HTMLstructural reliabilityreliability assessmentaleatory uncertaintyepistemic uncertaintyuncertainty theoryuncertain system |
| spellingShingle | Yubing Chen Meilin Wen Qingyuan Zhang Yu Zhou Rui Kang Generalized first-order second-moment method for uncertain random structures AIMS Mathematics structural reliability reliability assessment aleatory uncertainty epistemic uncertainty uncertainty theory uncertain system |
| title | Generalized first-order second-moment method for uncertain random structures |
| title_full | Generalized first-order second-moment method for uncertain random structures |
| title_fullStr | Generalized first-order second-moment method for uncertain random structures |
| title_full_unstemmed | Generalized first-order second-moment method for uncertain random structures |
| title_short | Generalized first-order second-moment method for uncertain random structures |
| title_sort | generalized first order second moment method for uncertain random structures |
| topic | structural reliability reliability assessment aleatory uncertainty epistemic uncertainty uncertainty theory uncertain system |
| url | https://www.aimspress.com/article/doi/10.3934/math.2023682?viewType=HTML |
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