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| Reliability analysis method for convex set structures based on reduced base concept |
| Received:April 17, 2019 Revised:August 01, 2019 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20190417002 |
| KeyWord:reduced basis concept Monte Carlo simulation structural reliability with convex set computational efficiency finite element |
| Author | Institution |
| 张正 |
吉首大学 土木工程与建筑学院, 张家界 ;怀化学院 机械与光电物理学院, 怀化 |
| 吴曼颖 |
吉首大学 土木工程与建筑学院, 张家界 |
| 毕仁贵 |
吉首大学 物理与机电工程学院, 吉首 |
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| Abstract: |
| Aiming at the reliability analysis of a parameter structure with an ellipsoidal convex set,a fast solution method is proposed based on the reduced basis concept.Firstly,the standard ellipsoid domain and its packaged rectangular domain are obtained by the orthogonal coordinate transformation in the original ellipsoid parameter domain.Secondly,sampling is conducted in the rectangular domain and the sample parameter point set is obtained in the original ellipsoid parameter domain by the inverse coordinate transformation,and then the structural reduction space and its associated reduction algorithm are constructed.Subsequently,the uniform sampling points with equal probability are produced conducted in the standard ellipsoid domain,and then the reliability and its reliable domain of the structure are analyzed by Monte Carlo reduction simulation using the inverse coordinate transformation and corresponding reduction algorithm.Because this method is used to analyze the displacement vector solutions of a parametric structure with an ellipsoidal convex set in low-dimensional approximation space,it is more efficient than the finite element method.An example is given to test and verify the effectiveness of the proposed method. |
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