有限元模型修正的不确定性方法综述  

Uncertainty Method on Finite Element Model Updating:A Literature Review

作　　者：于澜[1] 齐佳成 朱奕霖 YU Lan(School of Science,Changchun Institute of Technology,Changchun 130012,China)

机构地区：[1]长春工程学院理学院,长春130012 [2]长春工程学院水利与环境工程学院,长春130012

出　　处：《长春工程学院学报（自然科学版）》2021年第4期120-124,共5页Journal of Changchun Institute of Technology：Natural Sciences Edition

基　　金：吉林省科技厅项目(20190302110GX)。

摘　　要：有限元模型和其他分析模型被广泛地用于结构仿真分析,而实验模态分析也逐渐变得复杂,因此需要精确的方法来获得真实结构的基频和模态振型,这其中一个主要的问题就是如何推导出更好的方法来修正分析模型,使之能够更多地反映实测的数据。近年来,随着有限元建模能力和模态试验成为结构动力学成熟的研究领域,有限元模型修正的不确定性这一具有挑战性的问题引起了人们极大的兴趣。文中综述了模型修正的不确定性方法中的3种主要技术:最小方差估计、扰动技术和贝叶斯估计,以期更好地与工程监测结合。Finite Element Models and other analytical models are used extensively to simulate mechanical structures.Experimental modal analysis is becoming more and more sophisticated.So, the accurate method is needed to obtain the natural frequencies and mode shapes of real structures.One major problem is to derive the best method to update an analytical model to reflect experimental data.In recent yearsthe challenging problem of the uncertainty of finite element models updating has gained much interest as finite-element modeling capabilities and modal testing have become more mature areas of structural dynamics.This study focuses on the three methods of uncertainty, minimum variance estimator, perturbation technique and Bayesian estimator, which can be combined with an on-line monitoring system better.

关 键 词：扰动技术 不确定性方法 模型修正 最小方差估计 贝叶斯估计 

分 类 号：O32[理学—一般力学与力学基础]