基于时间序列分析的结构损伤识别
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摘要
针对如何从结构响应信息中提取结构损伤指标的问题,提出了一种基于时间序列分析的结构损伤识别方法。对结构响应数据进行预处理,利用完好工况下的结构响应数据作为参考数据,建立自回归(Auto regression-AR)预测参考模型。利用已建立的AR预测参考模型计算待识别工况的残差,将待识别工况的残差与AR预测参考模型的残差的方差之比作为损伤指标,对结构损伤进行识别;通过算例表明:该损伤指标不仅可以判断结构是否发生损伤,而且可以识别结构的损伤位置。
A structural damage identification method based on time series analysis was proposed to solve a problem how to get structural damage indexes in structural responses.Firstly,an AR prediction reference model was established using undamaged structural response data after data pre-processing.Secondly,the residual error of damage condition was calculated with the AR prediction reference model,and then the varianceratio of the calculated residual error and the residual error of the AR model was taken as a damage index.At last,a simply supported beam was takes as a case study.Results showed that the damage index proposed can find if the damage exists,and the proposed method can be used to locate the damage.
A structural damage identification method based on time series analysis was proposed to solve a problem how to get structural damage indexes in structural responses.Firstly,an AR prediction reference model was established using undamaged structural response data after data pre-processing.Secondly,the residual error of damage condition was calculated with the AR prediction reference model,and then the varianceratio of the calculated residual error and the residual error of the AR model was taken as a damage index.At last,a simply supported beam was takes as a case study.Results showed that the damage index proposed can find if the damage exists,and the proposed method can be used to locate the damage.
引文
[1]欧进萍.重大工程结构的智能监测与健康诊断[C].崔京浩,编.第十一届结构工程学术会议论文集,第十一届全国结构工程学术会议,长沙.2002-10-20-23.北京:清华大学出版社,2002:44-53.
[2]李宏男,李东升.土木工程结构安全性评估、健康监测及诊断述评[J].地震工程与工程振动,2002,22(3):82-90.
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[6]Nair K K,Kiremidjian A S,Law K H.Time series-baseddamage detection and localization algorithm with application tothe ASCE benchmark structures[J].Journal of Sound andVibration,2006,291(1/2):349368.
[7]Cheung A,Cabrera C,Sarabandi P,et al.The application ofstatistical pattern recognition methods for damage detection tofield data[J].Smart Materials and Structures,2008,12:1-12.
[8]Nair K K,Kiremidjian A S.Time series based structuraldamage detection algorithm using gaussian mixtures modeling[J].Journal of Dynamic Systems,Measurement,and Control,2007,129(3):258-293.
[9]Sohn H,Farrar C R,Hunter H F,et al.Applying the LANLstatistical pattern recognition paradigm for structural healthmonitoring to data from a surface-effect fast patrol boat[R].USA.Los Alamos National Laboratory(No.LA-13761-MS),2001.
[10]陈志为,林友勤,任伟新.用AR模型判断结构损伤的方法[J].福州大学学报,2005,10(33S):301-304.
[11]刘毅,李爱群.基于结构响应的损伤诊断方法及其应用[J].东南大学学报,2010,40(4):810-815.
[12]高品贤.趋势项对时域参数识别的影响与消除[J].振动测试与诊断,1996,19(2):20-26.
[2]李宏男,李东升.土木工程结构安全性评估、健康监测及诊断述评[J].地震工程与工程振动,2002,22(3):82-90.
[3]Doebling S W,Farrar C R,Prime M B.Damage identificationand health monitoring of structural and mechanical systemsfrom changes in their vibration characteristics:a literaturereview[R].USA:Los Alamos National Laboratory(No.LA-13070-MS),1996:5-62.
[4]杨叔子,吴雅,王治藩,等.时间序列分析的工程应用[M].武汉:华中理工大学出版社,1991.
[5]Sohn H,Farrar C R.Damage diagnosis using time seriesanalysis of vibration signals[J].Journal of Smart Materialsand Structures,2001,10(3):446-451.
[6]Nair K K,Kiremidjian A S,Law K H.Time series-baseddamage detection and localization algorithm with application tothe ASCE benchmark structures[J].Journal of Sound andVibration,2006,291(1/2):349368.
[7]Cheung A,Cabrera C,Sarabandi P,et al.The application ofstatistical pattern recognition methods for damage detection tofield data[J].Smart Materials and Structures,2008,12:1-12.
[8]Nair K K,Kiremidjian A S.Time series based structuraldamage detection algorithm using gaussian mixtures modeling[J].Journal of Dynamic Systems,Measurement,and Control,2007,129(3):258-293.
[9]Sohn H,Farrar C R,Hunter H F,et al.Applying the LANLstatistical pattern recognition paradigm for structural healthmonitoring to data from a surface-effect fast patrol boat[R].USA.Los Alamos National Laboratory(No.LA-13761-MS),2001.
[10]陈志为,林友勤,任伟新.用AR模型判断结构损伤的方法[J].福州大学学报,2005,10(33S):301-304.
[11]刘毅,李爱群.基于结构响应的损伤诊断方法及其应用[J].东南大学学报,2010,40(4):810-815.
[12]高品贤.趋势项对时域参数识别的影响与消除[J].振动测试与诊断,1996,19(2):20-26.
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