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| An performance measure approach of structural reliability based on homotopy analysis |
| Received:February 21, 2014 Revised:April 06, 2014 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx201502002 |
| KeyWord:structural reliability KKT PMA homotopy analysis |
| Author | Institution |
| 吉猛 |
湖南大学 机械与运载工程学院 汽车车身先进设计制造国家重点实验室, 长沙 |
| 姜潮 |
湖南大学 机械与运载工程学院 汽车车身先进设计制造国家重点实验室, 长沙 |
| 韩硕 |
湖南大学 机械与运载工程学院 汽车车身先进设计制造国家重点实验室, 长沙 |
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| Abstract: |
| In this paper, for the structural reliability problems, we introduce a new performance measure approach based on the homotopy analysis, denoted as the HOMO method.First we establish the Karush-Kuhn-Tucker (KKT) condition of the structural reliability problems, then construct the corresponding homotopy equations, and apply the β-cone path-tracking algorithm to solve the equations.Several examples are provided to show that the method has robust convergence in solving the limit-state functions of different degree nonlinearity. |