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基于加权最小二乘的结构模态参数与损伤识别
引用本文:徐强,刘博,陈健云,李静,徐舒桐.基于加权最小二乘的结构模态参数与损伤识别[J].水利学报,2020,51(1):23-32.
作者姓名:徐强  刘博  陈健云  李静  徐舒桐
作者单位:大连理工大学海岸与近海工程国家重点实验室,辽宁大连 116024;大连理工大学工程抗震研究所,辽宁大连 116024;大连理工大学海岸与近海工程国家重点实验室,辽宁大连 116024;大连理工大学工程抗震研究所,辽宁大连 116024;大连理工大学海岸与近海工程国家重点实验室,辽宁大连 116024;大连理工大学工程抗震研究所,辽宁大连 116024;大连理工大学海岸与近海工程国家重点实验室,辽宁大连 116024;大连理工大学工程抗震研究所,辽宁大连 116024;大连理工大学海岸与近海工程国家重点实验室,辽宁大连 116024;大连理工大学工程抗震研究所,辽宁大连 116024
基金项目:国家重点研发计划项目(2017YFC0404903)
摘    要:为提高利用最小二乘进行模态参数识别的精确度,提出了分频段加权最小二乘模态参数及损伤区域识别方法。分别基于各频率段能量和普通克里金插值作为权值,加权计算模态参数。将此方法应用于识别时变系统,用于Koyna混凝土重力坝在地震作用下损伤识别中。结果表明,识别的固有频率时程曲线可以准确地对结构损伤情况进行描述,根据坝体观测点在初始和损伤结束时刻的响应信号识别的归一化振型可以对结构损伤进行定位。该方法可以较大地提高结构模态参数的识别精度,并且准确地识别结构的损伤区域。

关 键 词:参数识别  普通克里金加权  损伤区域识别  加权最小二乘法  信号分析
收稿时间:2019/10/7 0:00:00

Structural modal parameters and damage region identification based on least squares method with frequency band weighting approach
XU Qiang,LIU Bo,CHEN Jianyun,LI Jing and XU Shutong.Structural modal parameters and damage region identification based on least squares method with frequency band weighting approach[J].Journal of Hydraulic Engineering,2020,51(1):23-32.
Authors:XU Qiang  LIU Bo  CHEN Jianyun  LI Jing and XU Shutong
Affiliation:State Key Labor of Coastal and Offshare Engineering, Dalian University of Technology, Dalian 116024, China;Institute of Eartquake Engineering, Faculty of Infrastructure Engineering, Dalian University of Technology, Dalian 116024, China,State Key Labor of Coastal and Offshare Engineering, Dalian University of Technology, Dalian 116024, China;Institute of Eartquake Engineering, Faculty of Infrastructure Engineering, Dalian University of Technology, Dalian 116024, China,State Key Labor of Coastal and Offshare Engineering, Dalian University of Technology, Dalian 116024, China;Institute of Eartquake Engineering, Faculty of Infrastructure Engineering, Dalian University of Technology, Dalian 116024, China,State Key Labor of Coastal and Offshare Engineering, Dalian University of Technology, Dalian 116024, China;Institute of Eartquake Engineering, Faculty of Infrastructure Engineering, Dalian University of Technology, Dalian 116024, China and State Key Labor of Coastal and Offshare Engineering, Dalian University of Technology, Dalian 116024, China;Institute of Eartquake Engineering, Faculty of Infrastructure Engineering, Dalian University of Technology, Dalian 116024, China
Abstract:In order to improve the accuracy of modal parameter identification using least squares,a frequency-band weighted least squares modal parameter and damage region identification method is proposed. Respectively based on the respective frequency bands and the energy as ordinary Kriging weights, weighted modal parameters. This method is used to identify time-varying system and to identify damage of Koyna concrete gravity dam under earthquake. The results show that the time history curve of the identified natural frequency can accurately describe the structure damage, and the damage can be located according to the normalized vibration pattern recognized by the response signals at the initial and the end of the damage. The proposed method can improve the identification accuracy greatly of structural modal parameters and accurately identify the damage area of the structure.
Keywords:parameter identification  common Kriging weighting  damage area identification  weighted least squares method  signal analysis
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