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基于Kriging模型的频响函数有限元模型修正方法
引用本文:杨修铭,郭杏林,李东升.基于Kriging模型的频响函数有限元模型修正方法[J].计算力学学报,2018,35(4):487-493.
作者姓名:杨修铭  郭杏林  李东升
作者单位:大连理工大学 工程力学系 工业装备结构分析国家重点实验室, 大连 116024,大连理工大学 工程力学系 工业装备结构分析国家重点实验室, 大连 116024,大连理工大学 土木工程学院, 大连 116024
基金项目:国家自然科学基金(51578107)资助项目.
摘    要:针对使用频响函数进行有限元模型修正的问题,提出了一种基于Kriging模型的修正方法,用于检测结构由损伤引起的在单元刚度特性上的衰减。本文方法可以在不需要推导修正参数与频响函数残差代数关系的前提下,通过少量测点提供的有效数据快速求解;还可以通过控制算法的终止准则来提高对未知区域的探索程度,降低结果收敛到局部解上的可能。使用Kriging模型可以有效地减少原有限元模型的计算次数,保证计算效率的同时,为对结构进行更准确精密的有限元建模提供了便利。

关 键 词:模型修正  Kriging  有限元分析  频响函数  损伤识别
收稿时间:2017/3/3 0:00:00
修稿时间:2017/5/15 0:00:00

Kriging model based finite element model updating method using frequency response function
YANG Xiu-ming,GUO Xing-lin,LI Dong-sheng.Kriging model based finite element model updating method using frequency response function[J].Chinese Journal of Computational Mechanics,2018,35(4):487-493.
Authors:YANG Xiu-ming  GUO Xing-lin  LI Dong-sheng
Institution:State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian 116024, China,State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian 116024, China and School of Civil Engineering, Dalian University of Technology, Dalian 116024, China
Abstract:A Kriging model based model updating method based on frequency response function is proposed to detect the reduction of element stiffness of the structure caused by damage.The method can get results quickly by the data provided by a small number of measuring points without deriving the algebraic relationship between the updated parameters and the residuals of the frequency response function.It can also improve the exploration degree of the unknown region and reduce the possibility that the result converges to a local solution by controlling the stopping criterion of the algorithm.Using Kriging model can effectively reduce the number of calculations of the original finite element model.While ensuring the efficiency of the calculation,it facilitates construction of a more accurate finite element model of the structure.
Keywords:model updating  Kriging  finite element analysis  frequency response function  damage identification
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