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| Analytical scheme of differential equivalent recursive algorithm |
| Received:December 01, 2009 Revised:September 02, 2010 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx201105007 |
| KeyWord:Differential Equivalent Recursive Algorithm (DERA) analytical scheme system reliability joint failure probability |
| Author | Institution |
| 陈向前 |
清华大学 土木工程系,北京 |
| 董聪 |
清华大学 土木工程系,北京 |
| 闫阳 |
清华大学 土木工程系,北京 |
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| Abstract: |
| Structural system reliability analysis requires accurate and efficient evaluation of the joint failure probability. The differential equivalent recursive algorithm (DERA) is one of the efficient algorithms for computing joint failure probability. The deficiencies of the original DERA based on difference method were summarized as: a) the perturbation has impacts on the equivalent failure surface (EFS) normal vector, thus it is difficult to select a suitable perturbation; b) unclear mathematical interpretation of the EFS. This paper derives the analytical expression of the EFS normal vector, without selecting a suitable perturbation and computing the cumulative probability of bi-variate standard normal distribution. It concludes that the EFS normal vector is a linear combination of the original failure surface normal vectors, which actually provides a geometric explanation of EFS normal vector. Based on the geometric explanation of EFS normal vector, a more rational sequence of combination is proposed. The accuracy and efficiency of the proposed method were demonstrated and verified by a numerical experiment. |