数据驱动随机子空间算法的桥梁运营模态分析
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摘要
以某自锚式悬索桥模型试验为研究背景,采用数据驱动随机子空间识别算法和改进稳定图方法对桥梁结构运营模态分析进行研究。为解决数据驱动随机子空间识别中的系统定阶和虚假模态问题,采用奇异熵增量进行系统定阶,并对稳定图进行改进,实现了虚假模态的识别与剔除,最终达到了精确识别桥梁结构模态参数的目的。采用模型试验在不同数据采集方案下的测试数据,识别该模型桥相应测试条件下的模态参数,将识别结果分别与ANSYS理论计算值、DASY-Lab模态参数识别结果进行比较,验证了所提方法及自编程序的正确性,该方法可应用于桥梁结构的运营模态分析中。
The model test of a self-anchored suspension bridge is taken as the research background,the data-driven stochastic subspace identification(Data-Driven SSI) algorithm and the improved stabilization diagram method are employed to study the operational modal analysis of bridge structure.For solving the problem of the system order determination and false modal parameters in the Data-Driven SSI,the singular entropy increment is introduced to determine the system order and to improve the stability diagram,the false modal parameters are therefore identified and eliminated and eventually the goal of accurately identifying the modal parameters of the bridge structure is attained.By using the testing data of the model test under different data acquisition cases,the modal parameters of the bridge structure under the corresponding testing conditions are identified,the identified modal parameters are respectively compared to the values of the ANSYS theoretic calculation and to the results of DASYLab modal parameter identification.The correctness of the method proposed herewith and the self-complied program has been verified and the method can be applied to the operational model analysis of the bridge structure.
The model test of a self-anchored suspension bridge is taken as the research background,the data-driven stochastic subspace identification(Data-Driven SSI) algorithm and the improved stabilization diagram method are employed to study the operational modal analysis of bridge structure.For solving the problem of the system order determination and false modal parameters in the Data-Driven SSI,the singular entropy increment is introduced to determine the system order and to improve the stability diagram,the false modal parameters are therefore identified and eliminated and eventually the goal of accurately identifying the modal parameters of the bridge structure is attained.By using the testing data of the model test under different data acquisition cases,the modal parameters of the bridge structure under the corresponding testing conditions are identified,the identified modal parameters are respectively compared to the values of the ANSYS theoretic calculation and to the results of DASYLab modal parameter identification.The correctness of the method proposed herewith and the self-complied program has been verified and the method can be applied to the operational model analysis of the bridge structure.
引文
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[11]Jiangling Fan,Zhiyi Zhang,Hongxing Hua.Data Processingin Subspace Identification and Modal Parameter Identificationof an Arch Bridge[J].Mechanical Systems and Signal Pro-cessing,2007,(21):1 674-1 689.
[12]徐敏.桥梁结构模态参数识别研究(硕士学位论文)[D].成都:西南交通大学,2010.(XU Min.Modal Parameters Identification Study for BridgeStructure(Master Dissertation)[D].Chengdu:SouthwestJiaotong University,2010.in Chinese)
[13]张贤达.矩阵分析与应用[M].北京:清华大学出版社,2004.(ZHANG Xian-da.Matrix Analysis and Application[M].Beijing:Tsinghua University Press,2004.in Chinese)
[14]罗文波,夏松波,王莉,等.对用稳定图识别真假模态的一点改进[J].应用力学学报,1999,16(2):112-116.(LUO Wen-bo,XIA Song-bo,WANG Li,et al.Some Im-provements Using Stabilization Diagram to Identify True orFalse Modal Parameters[J].Chinese Journal of Applied Me-chanics,1999,16(2):112-116.in Chinese)
[15]Ward Heylen,Stefan Lammens,Paul Sas.Modal AnalysisTheory and Testing[M].Holland:Katholieke UniversiteitLevven Department Werktvi Gkunde,1997.
[2]Kirkegarard,Poul Henning,Brincker Rune.Special Issue onOperational Modal Analysis[J].Mechanical Systems and Sig-nal Processing,2010,(24):1 209-1 212.
[3]Peter Van Overschee,Bart De Moor.Subspace Identificationfor Linear Systems:Theory-Implementation-Applications[M].Dordrecht,the Netherlands:Kluwer Academic Publish-ers,1996.
[4]Bart Peeters,Guido De Roeck.Stochastic System Identificationfor Operational Modal Analysis:A Review[J].Journal of Dy-namic Systems,Measurement and Control,2001,123(4):659-667.
[5]Matthew J Whelan,Michael V Gangone,Kerop D Janoyan,etal.Real-Time Wireless Vibration Monitoring for OperationalModal Analysis of an Integral Abutment Highway Bridge[J].Engineering Structures,2009,(31):2 224-2 235.
[6]Edwin Reynders,Daan Degrauwe,Guido De Roeck,et al.Combined Experimental-Operational Modal Testing of Foot-bridges[J].Journal of Engineering Mechanics,2010,136(6):687-696.
[7]常军,张启伟,孙利民.随机子空间产生虚假模态及模态遗漏的原因分析[J].工程力学,2007,24(11):57-62.(CHANG Jun,ZHANG Qi-wei,SUN Li-min.Analysis ofHow Stochastic Subspace Identification Brings False Modesand Mode Absence[J].Engineering Mechanics,2007,24(11):57-62.in Chinese)
[8]常军,张启伟,孙利民.基于两阶段稳定图的随机子空间识别结构模态参数[J].地震工程与工程振动,2008,28(3):47-51.(CHANG Jun,ZHANG Qi-wei,SUN Li-min.Study on theMethod for Stochastic Subspace Identifying Structural ModalParameters Based on Two-Stage Stabilization Diagram[J].Journal of Earthquake Engineering and Engineering Vibration,2008,28(3):47-51.in Chinese)
[9]常军,张启伟,孙利民.随机子空间识别方法计算效率的改进[J].地震工程与工程振动,2007,27(3):88-94.(CHANG Jun,ZHANG Qi-wei,SUN Li-min.Improvementin Stochastic Subspace Identification[J].Journal of Earth-quake Engineering and Engineering Vibration,2007,27(3):88-94.in Chinese)
[10]常军.随机子空间方法在桥梁模态参数识别中的应用研究(博士学位论文)[D].上海:同济大学,2006.(CHANG Jun.Modal Parameters Identification of Bridge byStochastic Subspace Identification Method(Doctor Disserta-tion)[D].Shanghai:Tongji University,2006.in Chinese)
[11]Jiangling Fan,Zhiyi Zhang,Hongxing Hua.Data Processingin Subspace Identification and Modal Parameter Identificationof an Arch Bridge[J].Mechanical Systems and Signal Pro-cessing,2007,(21):1 674-1 689.
[12]徐敏.桥梁结构模态参数识别研究(硕士学位论文)[D].成都:西南交通大学,2010.(XU Min.Modal Parameters Identification Study for BridgeStructure(Master Dissertation)[D].Chengdu:SouthwestJiaotong University,2010.in Chinese)
[13]张贤达.矩阵分析与应用[M].北京:清华大学出版社,2004.(ZHANG Xian-da.Matrix Analysis and Application[M].Beijing:Tsinghua University Press,2004.in Chinese)
[14]罗文波,夏松波,王莉,等.对用稳定图识别真假模态的一点改进[J].应用力学学报,1999,16(2):112-116.(LUO Wen-bo,XIA Song-bo,WANG Li,et al.Some Im-provements Using Stabilization Diagram to Identify True orFalse Modal Parameters[J].Chinese Journal of Applied Me-chanics,1999,16(2):112-116.in Chinese)
[15]Ward Heylen,Stefan Lammens,Paul Sas.Modal AnalysisTheory and Testing[M].Holland:Katholieke UniversiteitLevven Department Werktvi Gkunde,1997.
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