剪切框架在未知地震作用下的识别方法及试验验证
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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.该方法先依次采用扩展卡尔曼估计和递推最小二乘法对1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1层的结构参数进行估计;最后基于数值求解一阶微分方程,识别未观测的地震作用.通过1个4层框架试验,表明该方法能够很好地识别出结构参数和地震输入.
A method is proposed for the identification of multi-story shear buildings under unknown seismic excitation with partial observations of structural absolute acceleration responses.Based on sequential application of the extended Kalman estimator and the least squares estimation,structural parameters above the first story of a building can be identified.Then,structural parameters of the first story can be identified from the frequency equation.Finally,the unknown earthquake excitation can be identified via the numerical solution of a first-order differential equation.Lab experiments of a 4-story shear building on a shaking table test have validated that the proposed method can determine structural parameters and the earthquake excitation with satisfactory accuracy.
A method is proposed for the identification of multi-story shear buildings under unknown seismic excitation with partial observations of structural absolute acceleration responses.Based on sequential application of the extended Kalman estimator and the least squares estimation,structural parameters above the first story of a building can be identified.Then,structural parameters of the first story can be identified from the frequency equation.Finally,the unknown earthquake excitation can be identified via the numerical solution of a first-order differential equation.Lab experiments of a 4-story shear building on a shaking table test have validated that the proposed method can determine structural parameters and the earthquake excitation with satisfactory accuracy.
引文
[1]Wu Z S,Xu B,Harada T.Review on structural health monitoring for infrastructures[J].Journal of Applied Mechanics,JSCE,2003,6:1043-1054.
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[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 with unknown input with rayleigh damping[J].Journal of Engineering Mechanics,2004,130(8):315-320.
[8]李杰,陈隽.部分输入未知时求解动力复合反演问题的补偿算法[J].计算力学学报,2008,19(3):312-314.
[9]Zhao X,Xu Y L,Li J,et al.Hybrid identification method for shear buildings with unknown seismic input:theory[J].Sound and Vibration Control,2006,291:215-239.
[10]Zhao X,Xu Y L,Li J,et al.Hybrid identification method for shear buildings with unknown seismic input:experimental investigation[J].Engineering Structures,2005,27:1234-1247.
[11]Lei Y,Lei J Y,Song Y.Element level structural damage detection with limited observations and with unknown inputs[C]∥Proceedings of SPIE′s Conference on Health Monitoring of Structural and Biological Systems.San Diego,CA,USA:SPIE,2007:65321.
[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 damage in large-size structures under earthquake excitation[C]∥Proceedings of the 14th World Conference on Earthquake Engineering.Beijing,China:IEEE,2008:140018.
[4]Yang J N,Huang H W.An adaptive extended kalman filter for 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 local level with unknown input excitation[J].Structural Engineering,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 with unknown input with rayleigh damping[J].Journal of Engineering Mechanics,2004,130(8):315-320.
[8]李杰,陈隽.部分输入未知时求解动力复合反演问题的补偿算法[J].计算力学学报,2008,19(3):312-314.
[9]Zhao X,Xu Y L,Li J,et al.Hybrid identification method for shear buildings with unknown seismic input:theory[J].Sound and Vibration Control,2006,291:215-239.
[10]Zhao X,Xu Y L,Li J,et al.Hybrid identification method for shear buildings with unknown seismic input:experimental investigation[J].Engineering Structures,2005,27:1234-1247.
[11]Lei Y,Lei J Y,Song Y.Element level structural damage detection with limited observations and with unknown inputs[C]∥Proceedings of SPIE′s Conference on Health Monitoring of Structural and Biological Systems.San Diego,CA,USA:SPIE,2007:65321.
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