An efficient hybrid reliability analysis method with random and interval variables |
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Authors: | Shaojun Xie Xiaoping Du |
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Affiliation: | 1. College of Mechanical Engineering, Zhejiang University of Technology, Hangzhou, PR China;2. Department of Mechanical and Aerospace Engineering, Missouri University of Science and Technology, Rolla, MO, USA |
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Abstract: | Random and interval variables often coexist. Interval variables make reliability analysis much more computationally intensive. This work develops a new hybrid reliability analysis method so that the probability analysis (PA) loop and interval analysis (IA) loop are decomposed into two separate loops. An efficient PA algorithm is employed, and a new efficient IA method is developed. The new IA method consists of two stages. The first stage is for monotonic limit-state functions. If the limit-state function is not monotonic, the second stage is triggered. In the second stage, the limit-state function is sequentially approximated with a second order form, and the gradient projection method is applied to solve the extreme responses of the limit-state function with respect to the interval variables. The efficiency and accuracy of the proposed method are demonstrated by three examples. |
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Keywords: | epistemic uncertainty interval variable hybrid uncertainty analysis |
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