Time-Dependent Reliability-Based Design Optimization Utilizing Nonintrusive Polynomial Chaos
Time-dependent reliability-based design optimization (RBDO) has been acknowledged as an advance optimization methodology since it accounts for time-varying stochastic nature of systems. This paper proposes a time-dependent RBDO method considering both of the time-dependent kinematic reliability and...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/513261 |
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| author | Yao Wang Shengkui Zeng Jianbin Guo |
| author_facet | Yao Wang Shengkui Zeng Jianbin Guo |
| author_sort | Yao Wang |
| collection | DOAJ |
| description | Time-dependent reliability-based design optimization (RBDO) has been acknowledged as an advance optimization methodology since it accounts for time-varying stochastic nature of systems. This paper proposes a time-dependent RBDO method considering both of the time-dependent kinematic reliability and the time-dependent structural reliability as constrains. Polynomial chaos combined with the moving least squares (PCMLS) is presented as a nonintrusive time-dependent surrogate model to conduct uncertainty quantification. Wear is considered to be a critical failure that deteriorates the kinematic reliability and the structural reliability through the changing kinematics. According to Archard’s wear law, a multidiscipline reliability model including the kinematics model and the structural finite element (FE) model is constructed to generate the stochastic processes of system responses. These disciplines are closely coupled and uncertainty impacts are cross-propagated to account for the correlationship between the wear process and loads. The new method is applied to an airborne retractable mechanism. The optimization goal is to minimize the mean and the variance of the total weight under both of the time-dependent and the time-independent reliability constraints. |
| format | Article |
| id | doaj-art-e58432e94bfb4e50b7f774960782bb69 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-e58432e94bfb4e50b7f774960782bb692025-02-03T01:10:48ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/513261513261Time-Dependent Reliability-Based Design Optimization Utilizing Nonintrusive Polynomial ChaosYao Wang0Shengkui Zeng1Jianbin Guo2School of Reliability and Systems Engineering, Beihang University, Beijing 100191, ChinaSchool of Reliability and Systems Engineering, Beihang University, Beijing 100191, ChinaSchool of Reliability and Systems Engineering, Beihang University, Beijing 100191, ChinaTime-dependent reliability-based design optimization (RBDO) has been acknowledged as an advance optimization methodology since it accounts for time-varying stochastic nature of systems. This paper proposes a time-dependent RBDO method considering both of the time-dependent kinematic reliability and the time-dependent structural reliability as constrains. Polynomial chaos combined with the moving least squares (PCMLS) is presented as a nonintrusive time-dependent surrogate model to conduct uncertainty quantification. Wear is considered to be a critical failure that deteriorates the kinematic reliability and the structural reliability through the changing kinematics. According to Archard’s wear law, a multidiscipline reliability model including the kinematics model and the structural finite element (FE) model is constructed to generate the stochastic processes of system responses. These disciplines are closely coupled and uncertainty impacts are cross-propagated to account for the correlationship between the wear process and loads. The new method is applied to an airborne retractable mechanism. The optimization goal is to minimize the mean and the variance of the total weight under both of the time-dependent and the time-independent reliability constraints.http://dx.doi.org/10.1155/2013/513261 |
| spellingShingle | Yao Wang Shengkui Zeng Jianbin Guo Time-Dependent Reliability-Based Design Optimization Utilizing Nonintrusive Polynomial Chaos Journal of Applied Mathematics |
| title | Time-Dependent Reliability-Based Design Optimization Utilizing Nonintrusive Polynomial Chaos |
| title_full | Time-Dependent Reliability-Based Design Optimization Utilizing Nonintrusive Polynomial Chaos |
| title_fullStr | Time-Dependent Reliability-Based Design Optimization Utilizing Nonintrusive Polynomial Chaos |
| title_full_unstemmed | Time-Dependent Reliability-Based Design Optimization Utilizing Nonintrusive Polynomial Chaos |
| title_short | Time-Dependent Reliability-Based Design Optimization Utilizing Nonintrusive Polynomial Chaos |
| title_sort | time dependent reliability based design optimization utilizing nonintrusive polynomial chaos |
| url | http://dx.doi.org/10.1155/2013/513261 |
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