第34卷第1期 2017年1月
土木工程与管理学报 Journal of Civil Engineering and Management
Vol. 34 No. 1 Jan.2017
考虑温度影响的曲线箱梁有限元模型修正
黄民水12，程劭熙1，卢海林1
（1.武汉工程大学资源与土木工程学院，湖北武汉430073；
2.阿尔伯塔大学土木与环境工程系，加拿大阿尔伯特埃德蒙顿T6G2R3）
摘要：模型修正按修正对象的不同可分为矩阵型修正法和参数型修正法，参数型修正直接修正材料参数和几何参数，然而材料参数（如弹性模量)往往受环境因素，特别是温度的影响，如果不在修正过程中考虑温度对材料弹性模量的影响，往往会得到错误的结果。文中介绍了一种考虑温度影响、基于优化理论的曲线箱梁有限元模型修正方法。首先认为有机玻璃模型的弹性模量温度相关，建立了两者的关系模型。然后建立有机玻璃曲线箱梁的实验室模型和有限元分析模型，通过地震台振动测试获取了实验模态，通过ANSYS模态分析获取了理论模态。最后考虑了温度的影响、基于优化理论的零阶优化和一阶优化进行有限元模型修正，成功地消除了
温度对模型修正的影响，得到了后续损伤识别的基准有限元模型。关键词：模型修正；优化理论；温度影响；曲线箱梁
中图分类号：U441*.5；TU311
文献标识码：A
文章编号：2095-0985(2017)01-0029-04
Finite Element Model Updating of Curved Box Girder Considering Temperature Effect
HUANG Min-shuil,2, CHEN Shao-xi', LU Hai-lin'
(1. School of Resource and Civil Engineering, Wuhan Institute of Technology, Wuhan 430073, China; 2.Department of Civil and Environmental Engineering, University of Alberta, Edmonton T6G 2R3, Canada)
Abstract: There are two different model updating methods according to updating object, matrix form and parametric updating, the material and geometric parameters are updated directly in parametric updating, but the material parameters, such as elastic modulus are affected by environmental conditions, especially temperature, if the influence of temperature to material elastic modulus is no considered in the model updating, the actual results cannot be acquired. In the paper, a model updating method considering the influence of temperature, which is based on the optimization theory, is introduced. Firstly the elastic modulus of polymethylmethacrylate (PMMA) is temperature-dependent, the relationmodel is setup. Secondly, the lab model and finite element model of the PMMA curved box girder are constructed, the experimental and analytical modes are acquired through vibration testing on a shake table and modal analysis based on ANSYS. In the end, the model updating considering the influence of temperature is carried out based zero-order optimization and first-order optimization, the baseline model for the later damage identification is obtained and the influence of temperature to model updating is eliminated successfully
Key words: model updating; optimization theory; temperature effects; curved box girder
随着有限元理论的发展，为了满足大型结构损伤识别和健康监测的需要，有限元模型修正应运而生。近年来，基于振动测试的动力模型修正
收稿日期：2016-04-16修回日期：2016-06-04
已成为结构工程领域的研究热点之一[1]，它利用振动测试得到的动力特性修正有限元理论模型，使得修正后理论模型的模态参数与实测参数更加
作者简介：黄民水（1976-），男，湖南麻阳人，副教授，博士，研究方向为结构健康监测（Email：huangminshui@tsinghua.org.cn）通信作者：卢海林（1965-），男，湖南安乡人，教授，博士，研究方向为工程结构分析、检测与加固（Email：hail_lu@yangtzeu.edu.cn）基金项-据然科学基金（51378404）；湖北省自然科学基金（2014CFB773）；国家留学基金委（201508420074）