基于Kriging模型的航空发动机管道系统有限元模型修正  

Finite Element Model Updating of an Aeroengine Pipe System Based on Kriging Model

作　　者：陈奕丰 范鑫 魏莎 郑冰月 丁虎[1,3] 陈立群[1,3] Chen Yifeng;Fan Xin;Wei Sha;Zheng Bingyue;Ding Hu;Chen Liqun(School of Mechanics and Engineering Science,Shanghai University,Shanghai 200444,China;School of Engineering Science,University of Science and Technology of China,Hefei 230026,China;Shanghai Institute of Applied Mathematics and Mechanics,Shanghai 200072,China)

机构地区：[1]上海大学力学与工程科学学院,上海200444 [2]中国科学技术大学工程科学学院,合肥230026 [3]上海市应用数学和力学研究所,上海200072

出　　处：《动力学与控制学报》2023年第9期23-32,共10页Journal of Dynamics and Control

基　　金：国家自然科学基金(12072181,11702170);机械系统与振动国家重点实验室课题资助项目(MSV202105)。

摘　　要：为获得精确可靠的航空发动机外部管道结构动力学模型,采用将Kriging模型与多目标遗传算法(MOGA)相结合的模型修正方法进行有限元模型修正.首先进行管道模型的模态试验和有限元建模,分别获得模态参数的试验值和有限元分析值;然后在合理的参数选取和试验设计(DOE)的基础上,拟合得到Kriging模型;最后基于Kriging模型采用多目标遗传算法进行有限元模型修正,并对比了不同修正方法的精度和修正效果.结果表明:采用Kriging模型进行有限元模型修正可以有效提升修正效果,获得更为准确的有限元模型;对于航空发动机管道系统,基于Kriging模型的模型修正方法相较于基于灵敏度分析的模型修正方法具有更高的修正效率和修正精度.In order to obtain an accurate and reliable dynamic model of aeroengine external pipe structures,the finite element model(FEM)is updated by combining the Kriging model with the multi-objective genetic algorithm(MOGA).Firstly,both the modal test and the finite-element analysis are conducted to identify the dynamic characteristics of the pipeline model.Then,based on the selected parameters and Design of Experiment(DOE),the Kriging surrogate models of the FEM of pipe are set up by means of fitting.Finally,based on Kriging surrogate models,the FEM is updated by MOGA;the comparison is conducted on the accuracy and updating effect of different model updating methods.The results show that the Kriging surrogate model can be applied to update the FEM,which will greatly improve the efficiency and accuracy in calculation.The Kriging model method has obvious advantages over the sensitivity analysis method for aeroengine pipe structure.

关 键 词：管道 有限元模型修正 模态分析 KRIGING模型 灵敏度分析 

分 类 号：V233[航空宇航科学与技术—航空宇航推进理论与工程] TH113.1[机械工程—机械设计及理论]