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一种利用等效模型与遗传算法的动态有限元模型修正方法

费庆国 李爱群 缪长青

东南大学学报(英文版)2006,Vol.22Issue(2):213-217,5.
东南大学学报(英文版)2006,Vol.22Issue(2):213-217,5.

一种利用等效模型与遗传算法的动态有限元模型修正方法

Dynamic finite element model updating using meta-model and genetic algorithm

费庆国 1李爱群 1缪长青1

作者信息

  • 1. 东南大学土木工程学院,南京,210096
  • 折叠

摘要

Abstract

Current dynamic finite element model updating methods are not efficient or restricted to the problem of local optima. To circumvent these, a novel updating method which integrates the meta-model and the genetic algorithm is proposed. Experimental design technique is used to determine the best sampling points for the estimation of polynomial coefficients given the order and the number of independent variables. Finite element analyses are performed to generate the sampling data. Regression analysis is then used to estimate the response surface model to approximate the functional relationship between response features and design parameters on the entire design space. In the fitness evaluation of the genetic algorithm, the response surface model is used to substitute the finite element model to output features with given design parameters for the computation of fitness for the individual. Finally, the global optima that corresponds to the updated design parameter is acquired after several generations of evolution. In the application example, finite element analysis and modal testing are performed on a real chassis model. The finite element model is updated using the proposed method. After updating, root-mean-square error of modal frequencies is smaller than 2%. Furthermore, prediction ability of the updated model is validated using the testing results of the modified structure. The root-mean-square error of the prediction errors is smaller than 2%.

关键词

有限元模型/模型修正/响应面模型/遗传算法

Key words

finite element model/model updating/response surface model/genetic algorithm

分类

数理科学

引用本文复制引用

费庆国,李爱群,缪长青..一种利用等效模型与遗传算法的动态有限元模型修正方法[J].东南大学学报(英文版),2006,22(2):213-217,5.

基金项目

The National Natural Science Foundation of China(No. 50378017), Jiangsu Planned Projects for Postdoctoral Research Fund (No. 0501006A). (No. 50378017)

东南大学学报(英文版)

1003-7985

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