An interval finite element method based on bilevel Kriging model

文献类型： 外文期刊

第一作者： Yao, Zhongyang

作者： Yao, Zhongyang;Ni, Bingyu;Jiang, Chao;Wang, Shaohua;Wu, Pengge

作者机构：

关键词： Interval field; Spatial uncertainty; Kriging model; Interval finite element analysis; Response bounds

期刊名称：CHINESE JOURNAL OF AERONAUTICS （ 影响因子：5.7； 五年影响因子：5.6 ）

ISSN： 1000-9361

年卷期： 2024 年 37 卷 12 期

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收录情况： SCI

摘要： This study introduces a new approach utilizing an interval finite element method combined with a bilevel Kriging model to determine the bounds of structural responses in the presence of spatial uncertainties. A notable benefit of this approach is its ability to determine the response bounds across all degrees of freedom with a small sample size, which means that it has high efficiency. Firstly, the spatially varying uncertain parameters are quantified using an interval field model, which is described by a series of standard interval variables within a truncated interval Karhunen-Loe`ve (K-L) series expansion. Secondly, considering that the bound of structural response is a function of spatial position with the property of continuity, a surrogate model for the response bound is constructed, namely the first-level Kriging model. The training samples required for this surrogate model are obtained by establishing the second-level Kriging model. The second-level Kriging model is established to describe the structural responses at particular locations relative to the interval variables so as to facilitate the upper and lower bounds of the node response required by the first-level Kriging model. Finally, the accuracy and effectiveness of the method are verified through examples. (c) 2024 Published by Elsevier Ltd on behalf of Chinese Society of Aeronautics and Astronautics. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

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