An interval finite element method based on bilevel Kriging model  

作　　者：Zhongyang YAO Shaohua WANG Pengge WU Bingyu NI Chao JIANG 

机构地区：[1]State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body,College of Mechanical and Vehicle Engineering,Hunan University,Changsha 410082,China [2]Flight Automatic Control Research Institute of AVIC,Xi’an 710065,China [3]Agriculture Equipment Institute of Hunan,Hunan Academy of Agricultural Sciences,Changsha 410125,China

出　　处：《Chinese Journal of Aeronautics》2024年第12期1-11,共11页中国航空学报（英文版）

基　　金：co-supported by the National Key R&D Program of China(No.2022YFB3403800);the National Natural Science Foundations of China(Nos.52235005 and 52175224);the Hunan Province Agricultural Science and Technology Innovation Fund Project,China(No.2024CX117).

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.

关 键 词：Interval field Spatial uncertainty Kriging model Interval finite element analysis Response bounds 

分 类 号：V22[航空宇航科学与技术—飞行器设计] O241.82[理学—计算数学]