Reliability Analysis Based on Bregman Distances

DU Xiu-yun; XUE Qi-wen; LIU Xu-dong

doi:10.3879/j.issn.1000-0887.2016.06.006

Volume 37 Issue 6

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DU Xiu-yun, XUE Qi-wen, LIU Xu-dong. Reliability Analysis Based on Bregman Distances[J]. Applied Mathematics and Mechanics, 2016, 37(6): 609-616. doi: 10.3879/j.issn.1000-0887.2016.06.006

Citation:

DU Xiu-yun, XUE Qi-wen, LIU Xu-dong. Reliability Analysis Based on Bregman Distances[J]. Applied Mathematics and Mechanics, 2016, 37(6): 609-616. doi: 10.3879/j.issn.1000-0887.2016.06.006

Citation:

DU Xiu-yun, XUE Qi-wen, LIU Xu-dong. Reliability Analysis Based on Bregman Distances[J]. Applied Mathematics and Mechanics, 2016, 37(6): 609-616. doi: 10.3879/j.issn.1000-0887.2016.06.006

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Reliability Analysis Based on Bregman Distances

doi: 10.3879/j.issn.1000-0887.2016.06.006

¹School of Physics and Electronic Technology, Liaoning Normal University, Dalian, Liaoning 116029, P.R.China;²School of Civil and Safety Engineering, Dalian Jiaotong University, Dalian, Liaoning 116028, P.R.China;³Beijing Machinery Research Institute, Beijing 100854, P.R.China

Funds: The National Natural Science Foundation of China(10802015)

Received Date: 2015-11-27
Rev Recd Date: 2015-12-23
Publish Date: 2016-06-15

Abstract

Abstract

A reliability analysis model based on the homotopy algorithm was established to address probabilistic reliability problems of uncertain structures through introduction of Bregman distances. By means of the limit state equations, solution of the reliability index was transformed to a nonlinear constrained optimization problem. According to the homotopy theory and the Bregman distances, the system of homotopy equations was constructed and solved with the path-tracking algorithm. The reliability calculations for different types of functions and different degrees of nonlinear problems were discussed via numerical examples, and the results were compared with those out of previous methods. The results show that the proposed analysis model solves the probabilistic reliability problems of uncertain structures with high efficiency and good accuracy.
- homotopy algorithm,
- Bregman distance,
- reliability,
- path-tracking algorithm

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References(15)

References

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