Hybrid Structural Reliability Analysis under Multisource Uncertainties Based on Universal Grey Numbers
Nondeterministic parameters of certain distribution are employed to model structural uncertainties, which are usually assumed as stochastic factors. However, model parameters may not be precisely represented due to some factors in engineering practices, such as lack of sufficient data, data with fuz...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2018-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2018/3529479 |
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| _version_ | 1849309180775628800 |
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| author | Xingfa Yang Jie Liu Xiaoyue Chen Qixiang Qing Guilin Wen |
| author_facet | Xingfa Yang Jie Liu Xiaoyue Chen Qixiang Qing Guilin Wen |
| author_sort | Xingfa Yang |
| collection | DOAJ |
| description | Nondeterministic parameters of certain distribution are employed to model structural uncertainties, which are usually assumed as stochastic factors. However, model parameters may not be precisely represented due to some factors in engineering practices, such as lack of sufficient data, data with fuzziness, and unknown-but-bounded conditions. To this end, interval and fuzzy parameters are implemented and an efficient approach to structural reliability analysis with random-interval-fuzzy hybrid parameters is proposed in this study. Fuzzy parameters are first converted to equivalent random ones based on the equal entropy principle. 3σ criterion is then employed to transform the equivalent random and the original random parameters to interval variables. In doing this, the hybrid reliability problem is transformed into the one only with interval variables, in other words, nonprobabilistic reliability analysis problem. Nevertheless, the problem of interval extension existed in interval arithmetic, especially for the nonlinear systems. Therefore, universal grey mathematics, which can tackle the issue of interval extension, is employed to solve the nonprobabilistic reliability analysis problem. The results show that the proposed method can obtain more conservative results of the hybrid structural reliability. |
| format | Article |
| id | doaj-art-03bd248f68974b90b6e36d56bedd7cc0 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-03bd248f68974b90b6e36d56bedd7cc02025-08-20T03:54:14ZengWileyShock and Vibration1070-96221875-92032018-01-01201810.1155/2018/35294793529479Hybrid Structural Reliability Analysis under Multisource Uncertainties Based on Universal Grey NumbersXingfa Yang0Jie Liu1Xiaoyue Chen2Qixiang Qing3Guilin Wen4State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha, Hunan 410082, ChinaState Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha, Hunan 410082, ChinaKey Laboratory of Advanced Design and Simulation Techniques for Special Equipment, Ministry of Education, Hunan University, Changsha, Hunan 410082, ChinaKey Laboratory of Advanced Design and Simulation Techniques for Special Equipment, Ministry of Education, Hunan University, Changsha, Hunan 410082, ChinaState Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha, Hunan 410082, ChinaNondeterministic parameters of certain distribution are employed to model structural uncertainties, which are usually assumed as stochastic factors. However, model parameters may not be precisely represented due to some factors in engineering practices, such as lack of sufficient data, data with fuzziness, and unknown-but-bounded conditions. To this end, interval and fuzzy parameters are implemented and an efficient approach to structural reliability analysis with random-interval-fuzzy hybrid parameters is proposed in this study. Fuzzy parameters are first converted to equivalent random ones based on the equal entropy principle. 3σ criterion is then employed to transform the equivalent random and the original random parameters to interval variables. In doing this, the hybrid reliability problem is transformed into the one only with interval variables, in other words, nonprobabilistic reliability analysis problem. Nevertheless, the problem of interval extension existed in interval arithmetic, especially for the nonlinear systems. Therefore, universal grey mathematics, which can tackle the issue of interval extension, is employed to solve the nonprobabilistic reliability analysis problem. The results show that the proposed method can obtain more conservative results of the hybrid structural reliability.http://dx.doi.org/10.1155/2018/3529479 |
| spellingShingle | Xingfa Yang Jie Liu Xiaoyue Chen Qixiang Qing Guilin Wen Hybrid Structural Reliability Analysis under Multisource Uncertainties Based on Universal Grey Numbers Shock and Vibration |
| title | Hybrid Structural Reliability Analysis under Multisource Uncertainties Based on Universal Grey Numbers |
| title_full | Hybrid Structural Reliability Analysis under Multisource Uncertainties Based on Universal Grey Numbers |
| title_fullStr | Hybrid Structural Reliability Analysis under Multisource Uncertainties Based on Universal Grey Numbers |
| title_full_unstemmed | Hybrid Structural Reliability Analysis under Multisource Uncertainties Based on Universal Grey Numbers |
| title_short | Hybrid Structural Reliability Analysis under Multisource Uncertainties Based on Universal Grey Numbers |
| title_sort | hybrid structural reliability analysis under multisource uncertainties based on universal grey numbers |
| url | http://dx.doi.org/10.1155/2018/3529479 |
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