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| Armijo-based adaptive stability transformation method |
| Received:May 03, 2018 Revised:June 21, 2018 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20180503001 |
| KeyWord:reliability analysis HL-RF algorithm Armijo rule stability transformation method efficiency robustness |
| Author | Institution |
| 李彬 |
大连理工大学 工程力学系 工业装备结构分析国家重点实验室, 大连 |
| 李刚 |
大连理工大学 工程力学系 工业装备结构分析国家重点实验室, 大连 |
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| Abstract: |
| Structural reliability analysis is the key part of structural uncertainty design,and efficiency and robustness are two important indexes used to evaluate the performance of reliability analysis methods.At the beginning of this paper,two existing first-order-second-moment methods,named as the iHL-RF method and the directional stability transformation method respectively,are analyzed.It is found that the step length could be adaptively adjusted by the Armijo rule in the iHL-RF method,but the computational efficiency is low.Moreover,the directional stability transformation method could enhance the efficiency based on the direction property of oscillation,but the adaptability is poor.Combining the advantages of the two algorithms,the Armijo rule could be used to adaptively adjust the chaos control factor of the directional stability transformation method,and then the Armijo-based adaptive stability transformation method is proposed.Finally,based on four nonlinear examples,the convergence and efficiency are compared among five methods including HL-RF,iHL-RF,chaos control method,directional stability transformation method and our proposed method.Numerical results show that the proposed method has better convergence and higher efficiency than the other four reliability analysis methods when solving two-dimensional and multi-dimensional nonlinear limit state functions. |
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