基于自适应Kriging模型的GARTEUR飞机模型区间模型修正  

Interval Model Updating for GARTEUR Aircraft Model Based onAdaptive Kriging Models

作　　者：陈奕丰 魏莎 李旭龙 丁虎[1,2,3] 陈立群 Chen Yifeng;Wei Sha;Li Xulong;Ding Hu;Chen Liqun(School of Mechanics and Engineering Science,Shanghai University,Shanghai 200444,China;Shanghai Frontier Science Center of Mechanoinformatics,Shanghai 200072,China;Shanghai Institute of Aircraft Mechanics and Control,Shanghai 200092,China)

机构地区：[1]上海大学力学与工程科学学院,上海200444 [2]上海市力学信息学前沿科学研究基地,上海200072 [3]上海飞行器力学与控制研究院,上海200092

出　　处：《动力学与控制学报》2025年第1期15-22,共8页Journal of Dynamics and Control

基　　金：国家自然科学基金资助项目(12072181,12272211)。

摘　　要：采用基于自适应Kriging模型的区间模型修正方法对GARTEUR飞机模型进行了模型修正研究.首先对GARTEUR飞机模型进行了模态分析,并通过Spearman相关性分析结合工程经验,确立了模型中对响应影响较大的材料参数.引入泛灰数理论,将区间模型修正问题转化为关于区间上界和区间直径的优化问题.通过一种自适应Kriging模型的构建方法构建出模型输入和响应之间的关系.采用粒子群算法分别求解区间上界和区间直径的目标函数从而完成模型修正.结果表明:修正后参数区间上界和下界的误差满足工程精度要求,模型具有良好的预测能力,验证了所采用的区间模型修正方法的可行性和有效性.A model updating study of the GARTEUR aircraft model is conducted by using an interval model updating method based on the adaptive Kriging model.Firstly,the modal analysis of the GARTEUR aircraft model is performed,and the material parameters of the model that have a large influence on the response are established by the Spearman correlation analysis combined with engineering experience.The universal grey number theory is introduced to transform the interval model updating problem into an optimization problem about the upper bounds of the interval and the diameter of the interval.The relationship between model inputs and outputs is constructed by an adaptive Kriging model construction method.The particle swarm algorithm is used to solve the objective functions of the upper bound of the interval and the diameter of the interval to complete the model updating.The results show that the errors of the upper and lower bounds of the updated parameter intervals meet the requirements of engineering accuracy,and the model has good prediction accuracy,which verifies the feasibility and accuracy of the adopted interval model updating method.

关 键 词：有限元模型修正 区间分析 KRIGING模型 GARTEUR飞机模型 

分 类 号：V214[航空宇航科学与技术—航空宇航推进理论与工程]