基于曲率模态和小波系数差的损伤识别
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摘要
针对单一方法对结构损伤识别不太敏感的缺陷,提出了结合曲率模态和小波分析的综合损伤识别方法。以损伤前后的曲率模态作为分析信号,进行离散小波变换,提取高阶频率系数。将高阶系数之差作为损伤指标,通过高频系数差值的奇异处可以识别损伤位置。经过对2跨连续梁的数值模拟,不仅能够识别1、2处损伤,还能识别支座附近的损伤。证实了此方法定位准确,易于识别的优点,并对一座2跨连续梁钢桥模型进行试验。
To cope with the insensitivity of single method for structural damage identification,a comprehensive damage identification method in combination with curvature mode and wavelet analysis was proposed.The method takes curvature mode which comes from damaged and undamaged structures as signal,carries on discrete wavelet transform and extracts high-frequency coefficients.Then takes difference between high-frequency coefficients as the damage index,damage location can be identified through the singularity of the difference.Through numerical simulation of a two-span continuous beam,not only one and two damages but also damage located at the supports can be identified.It is confirmed that the method has advantages of accurate positioning and easy identification.A model of two-span steel bridge was tested by the proposed method.
To cope with the insensitivity of single method for structural damage identification,a comprehensive damage identification method in combination with curvature mode and wavelet analysis was proposed.The method takes curvature mode which comes from damaged and undamaged structures as signal,carries on discrete wavelet transform and extracts high-frequency coefficients.Then takes difference between high-frequency coefficients as the damage index,damage location can be identified through the singularity of the difference.Through numerical simulation of a two-span continuous beam,not only one and two damages but also damage located at the supports can be identified.It is confirmed that the method has advantages of accurate positioning and easy identification.A model of two-span steel bridge was tested by the proposed method.
引文
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[11]李德葆,陆秋海,试验模态分析及其应用[M].北京:科学技术出版社,2001.LI Debao,LU Qiuhai.Research and Application onExperiment Modal[M].Beijing:Science and TechnologyPress,2001.
[12]李忠献,齐怀展,朱劲松.基于模态曲率法的大跨度斜拉桥损伤识别[J].地震工程与工程振动,2007,27(4):122-126.LI Zhongxian,QI Huaizhan,ZHU Jinsong.DamageIdentification for Long-span Cabled-stayed Bridge Basedon Modal Curvature Method[J].Journal of EarthquakeEngineering and Engineering Vibration,2007,27(4):122-126.
[2]叶黔元,翟立祥,陈锦辉.曲率模态及其在桁架桥梁损伤识别中应用[J].力学季刊,2005,26(2):286-292.YE Qianyuan,ZHAI Lixiang,CHEN Jinhui.Applicationof Curvature Mode Shape in Damage Identification of TrussBridge[J].Chinese Quarterly of Mechanics,2005,26(2):286-292.
[3]陆熙,霍达.应用曲率模态理论识别实桥模型损伤的研究[J].土木工程学报,2005,38(8):61-66.LU Xi,HUO Da.Study of Real Bridge Model DamageDetection Based on Curvature Mode Theory[J].ChineseEngineering Journal,2005,38(8):61-66.
[4]田丹丹,高向鹏,陈红霞.基于曲率模态的连续刚构桥损伤识别研究[J].交通科技,2008,228:10-12.TIAN Dandan,Gao Xiangpeng,CHENHongxia.Researchon the Continuous-rigid Bridge Damage IdentificationBased on Curvature Mode[J].Transportation Science&Technology,2008,228:10-12.
[5]孙增寿,韩建刚,任伟新.基于曲率模态和小波变换的结构损伤位置识别[J].地震工程与工程振动,2005,25(4):44-49.SUN Zengshou,HAN Jiangang,REN Weixin.DamageLocation Identification of Structures Based on CurvatureMode and Wavelet Transform[J].Journal of EarthquakeEngineering and Engineering Vibration,2005,25(4):44-49.
[6]HOU Z,NOORI M,AMAND R S T.Wavelet-basedApproach for Structural Damage Detection[J].Journal ofEngineering Mechanics,ASCE,2000,126(7):677-683.
[7]殷志祥,徐文杰,毛丽强.曲率模态小波法用于网壳结构损伤的识别和定位[J].地震工程与工程振动,2009,29(4):164-169.YIN Zhixiang,XU Wenjie,MAO Liqiang.Study ofCurvature and Wavelet Method for Identification andLocating Damage to Reticulated Shell Structures[J].Journal of Earthquake Engineering and EngineeringVibration,2009,29(4):164-169.
[8]彭玉华.小波变换与工程应用[M].北京:科学出版社,1999.PENG Yuhua.Wavelet Transform and Application inProject[M].Beijing:Science Press,1999.
[9]OVANEASOVA A V,SUAREZL E.Application ofWavelet Transforms to Damage Detection in FrameStructures[J].Engineering Structures,2004(26):39-49.
[10]王振林,聂国华.基于曲率模态和小波奇异性的结构损伤识别[J].力学季刊,2008,29(2):278-283.WANG Zhenlin,NIE Guohua.Structural DamageDetection Based on Analysis of Curvature Mode andWavelet Singularity[J].Chinese Quarterly of Mechanics,2008,29(2):278-283.
[11]李德葆,陆秋海,试验模态分析及其应用[M].北京:科学技术出版社,2001.LI Debao,LU Qiuhai.Research and Application onExperiment Modal[M].Beijing:Science and TechnologyPress,2001.
[12]李忠献,齐怀展,朱劲松.基于模态曲率法的大跨度斜拉桥损伤识别[J].地震工程与工程振动,2007,27(4):122-126.LI Zhongxian,QI Huaizhan,ZHU Jinsong.DamageIdentification for Long-span Cabled-stayed Bridge Basedon Modal Curvature Method[J].Journal of EarthquakeEngineering and Engineering Vibration,2007,27(4):122-126.
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