有限观测绝对加速度响应下剪切框架在未知地震作用下损伤诊断
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摘要
针对框架结构的绝对加速度响应部分观测、地震作用未观测的情况,提出一种多层剪切框架结构诊断的方法。此先依次采用扩展卡尔曼估计和递推最小二乘对一层以上结构的扩展状态向量和未知作用力进行递推;然后利用结构频率特征方程,对第一层的结构参数进行估计;最后基于数值求解一阶微分方程,识别未观测的地震荷载。算例表明,该方法能够很好识别出结构参数和地震输入,通过跟踪结构刚度参数的退化,对未知地震作用下结构损伤进行诊断。
Here,a method was proposed for structural damage detection of a multi-story shear building under unknown earthquake excitation with partial observations of absolute acceleration responses.Based on the extended Kalman estimator and the least square estimation adopted sequentially,the structural parameters above the first story of the building could be identified.Then,the structural parameters of the first story were identified with the frequency equation.Finally,the unknown earthquake excitation identified via the numerical solution to a first-order differential equation.It was shown with a numerical example that the proposed method can identify structural parameters and earthquake excitation with good accuracy;structural damage under unknown earthquake excitation can be detected by tacking degradation of structural stiffness parameters.
Here,a method was proposed for structural damage detection of a multi-story shear building under unknown earthquake excitation with partial observations of absolute acceleration responses.Based on the extended Kalman estimator and the least square estimation adopted sequentially,the structural parameters above the first story of the building could be identified.Then,the structural parameters of the first story were identified with the frequency equation.Finally,the unknown earthquake excitation identified via the numerical solution to a first-order differential equation.It was shown with a numerical example that the proposed method can identify structural parameters and earthquake excitation with good accuracy;structural damage under unknown earthquake excitation can be detected by tacking degradation of structural stiffness parameters.
引文
[1]Wu Z S,Xu B,Harada T.Review on structural healthmonitoring for infrastructures[J].Journal of AppliedMechanics,JSCE,2003,6:1043-1054.
[2]李国强,李杰.工程结构动力检测理论与应用[M].北京:科学出版社.2002.
[3]Lei Y,Liu L J,Ni P H,Distributed detection of local damagein large-size structures under earthquake excitation[R].Proceedings of the 14th World Conference on EarthquakeEngineering,in CD-ROM,14-0018.Beijing,China,2008.
[4]Yang J N,Huang H W.An adaptive extended Kalman filterfor structural damage identifications II:unknown input[J].Structural Control and Health Monitoring.2007,14:497-521.
[5]Kathuda H,Martinez R,Hladar A.Health assessment at locallevel with unknown input excitation[J].StructuralEngineering,2005,131(6):956-965.
[6]陈健云,王建有.部分输入未知条件下结构参数识别法研究[J].计算力学学报,2005,22(2),149-154.
[7]Ling X L,Haldar A.Element level system identification withunknown input with Rayleigh damping[J].Journal ofEngineering Mechanics,2004,130(8):877-885.
[8]Zhao X,Xu Y L,Li J,et al.Hybrid identification methodfor shear buildings with unknown seismic input:theory[J].Sound and Vibration Control,2006,291,215-239.
[9]Zhao X,Xu Y L,Li J,et al.Hybrid identification method forshear buildings with unknown seismic input:Experimentalinvestigation[J].Engineering Structures,2005,(27):1234-1247.
[10]Lei Y,Lei J Y,Song Y.Element level structural damagedetection with limited observations and with unknown inputs[R].Proceedings of SPIE's Conference on Health Monitoringof Structural and Biological Systems,San Diego,CA,USA.2007,6532,
[2]李国强,李杰.工程结构动力检测理论与应用[M].北京:科学出版社.2002.
[3]Lei Y,Liu L J,Ni P H,Distributed detection of local damagein large-size structures under earthquake excitation[R].Proceedings of the 14th World Conference on EarthquakeEngineering,in CD-ROM,14-0018.Beijing,China,2008.
[4]Yang J N,Huang H W.An adaptive extended Kalman filterfor structural damage identifications II:unknown input[J].Structural Control and Health Monitoring.2007,14:497-521.
[5]Kathuda H,Martinez R,Hladar A.Health assessment at locallevel with unknown input excitation[J].StructuralEngineering,2005,131(6):956-965.
[6]陈健云,王建有.部分输入未知条件下结构参数识别法研究[J].计算力学学报,2005,22(2),149-154.
[7]Ling X L,Haldar A.Element level system identification withunknown input with Rayleigh damping[J].Journal ofEngineering Mechanics,2004,130(8):877-885.
[8]Zhao X,Xu Y L,Li J,et al.Hybrid identification methodfor shear buildings with unknown seismic input:theory[J].Sound and Vibration Control,2006,291,215-239.
[9]Zhao X,Xu Y L,Li J,et al.Hybrid identification method forshear buildings with unknown seismic input:Experimentalinvestigation[J].Engineering Structures,2005,(27):1234-1247.
[10]Lei Y,Lei J Y,Song Y.Element level structural damagedetection with limited observations and with unknown inputs[R].Proceedings of SPIE's Conference on Health Monitoringof Structural and Biological Systems,San Diego,CA,USA.2007,6532,
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