时间序列与主成分分析的结构损伤识别
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摘要
提出一种基于AR模型均方根误差主成分分析的结构损伤识别方法.首先利用检测数据建立AR模型,求得模型的均方根误差,然后,采用主成分分析的方法获得主成分载荷矩阵,将此矩阵经过数据标准化处理得到结构损伤特征指标.通过比较结构不同状态下传感器获得的损伤特性指标,进行损伤定位.最后,基于美国Los Alamos实验室三层框架结构模型的损伤实验数据,利用本文方法和基于AR模型系数损伤定位的方法对该结构各种损伤状况进行识别.2种方法的对比研究表明采用本文的方法,通过主成分分析排除外界干扰因素,减少运算量,具有更高的损伤识别精度.
Structural damage identification based on the principal component analysis method for the root mean squared error(RMSE) of auto regressive(AR) model is proposed in this paper.Firstly,the AR model is established by using dynamic responding data,and the RMSE of AR model is calculated.The loading matrix is obtained from principal component analysis,and the damage characteristic index is obtained through standardized processing of the loading matrix.The damage is located by comparing with the damage characteristic index resulted from sensors placed in different positions of a structure.Finally,based on a series of experimental data of a three-story frame structure model of the Los Alamos National Laboratory,the damage states are detected with two methods,namely the presented method and the AR model coefficient method.A comparison shows that the present method can lead to less amount of computing time,high suitability and identification accuracy,because the principal component analysis eliminates external interference.
Structural damage identification based on the principal component analysis method for the root mean squared error(RMSE) of auto regressive(AR) model is proposed in this paper.Firstly,the AR model is established by using dynamic responding data,and the RMSE of AR model is calculated.The loading matrix is obtained from principal component analysis,and the damage characteristic index is obtained through standardized processing of the loading matrix.The damage is located by comparing with the damage characteristic index resulted from sensors placed in different positions of a structure.Finally,based on a series of experimental data of a three-story frame structure model of the Los Alamos National Laboratory,the damage states are detected with two methods,namely the presented method and the AR model coefficient method.A comparison shows that the present method can lead to less amount of computing time,high suitability and identification accuracy,because the principal component analysis eliminates external interference.
引文
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[4]Lu Jingzhou,Spencer Jr B F,Sim Sunghan.Damage I-dentification research of elastic plate by means of DLV based ap-proach[C]//He Xiaoming.International Conference on ElectricTechnology and Civil Engineering.Lushan:Huazhong Universi-ty of Science and Technology,2011:4890-4893.
[5]曾浩.基于时间序列分析的结构损伤诊断[D].武汉:武汉理工大学,2006.
[6]Figueiredo E,Park G,Figueiras J,et al.Structuralhealth monitoring algorithm comparisons using standard data sets[R].Los Alamos,New Mexico:Los Alamos National Laborato-ry,2009.
[7]刘毅,李爱群,丁幼亮,等.基于时间序列分析的结构损伤特征提取与预警方法[J].应用力学学报,2008,25(2):253-256.
[8]杨彦芳,宋玉普,纪卫红.基于实测频响函数主成分的在役网架损伤识别方法[J].振动与冲击,2007,26(9):128-132.
[9]Samuel da Silva,Dias Júnior M,Lopes Junior V.Dam-age detection in a benchmark structure using Ar-Arx models andstatistical pattern recognition[J].Journal of the Brazilian Socie-ty of Mechanical Sciences and Engineering,2007,29(2):174-184.
[10]王振龙,胡永宏.应用时间序列分析[M].北京:科学出版社,2007:92-97.
[11]朱军华,余岭.基于时间序列分析与高阶统计矩的结构损伤检测[J].东南大学学报:自然科学版,2012,42(1):137-142.
[2]Sohn H,Farrar C R,Hemez F M,et al.A review ofstructural health monitoring literature 1996-2001[R].LA-13976-MS,New Mexico:Los Alamos National Laboratory Re-port,2003.
[3]闫桂荣,段忠东,欧进萍.基于结构振动信息的结构损伤识别研究综述[J].地震工程与工程振动,2007,27(3):95-102.
[4]Lu Jingzhou,Spencer Jr B F,Sim Sunghan.Damage I-dentification research of elastic plate by means of DLV based ap-proach[C]//He Xiaoming.International Conference on ElectricTechnology and Civil Engineering.Lushan:Huazhong Universi-ty of Science and Technology,2011:4890-4893.
[5]曾浩.基于时间序列分析的结构损伤诊断[D].武汉:武汉理工大学,2006.
[6]Figueiredo E,Park G,Figueiras J,et al.Structuralhealth monitoring algorithm comparisons using standard data sets[R].Los Alamos,New Mexico:Los Alamos National Laborato-ry,2009.
[7]刘毅,李爱群,丁幼亮,等.基于时间序列分析的结构损伤特征提取与预警方法[J].应用力学学报,2008,25(2):253-256.
[8]杨彦芳,宋玉普,纪卫红.基于实测频响函数主成分的在役网架损伤识别方法[J].振动与冲击,2007,26(9):128-132.
[9]Samuel da Silva,Dias Júnior M,Lopes Junior V.Dam-age detection in a benchmark structure using Ar-Arx models andstatistical pattern recognition[J].Journal of the Brazilian Socie-ty of Mechanical Sciences and Engineering,2007,29(2):174-184.
[10]王振龙,胡永宏.应用时间序列分析[M].北京:科学出版社,2007:92-97.
[11]朱军华,余岭.基于时间序列分析与高阶统计矩的结构损伤检测[J].东南大学学报:自然科学版,2012,42(1):137-142.
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