地震动反演及结构参数识别的EKF算法
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摘要
讨论了信息不完备的情况下剪切型结构的参数识别问题,利用不完备的测量信息,在系统载荷未知的条件下,采用最小二乘方法反演得到地震动响应时程,用扩展卡尔曼滤波(EKF)算法识别结构的动态物理参数,解决了扩展卡尔曼滤波算法需要输入的问题,取得了满意的参数识别结果。系统仿真算例表明,在引入20%的白噪声条件下,识别结果仍具有较高的计算精度,说明EKF算法用于剪切型结构参数识别时有较强的鲁棒性。
Parameter identification of shear structure with incomplete information is discussed in this paper. The time history of ground acceleration has been inversed based on least square method under incomplete response data. Structural parameters are identified by Extended Kalman Filter (EKF). The input information problem of EKF is resolved and good results are obtained. Numerical example shows that the identified results with small error are obtained under up to 20% of white noise. The method is shown to be robust and error-tolerant in identification of shear structures.
Parameter identification of shear structure with incomplete information is discussed in this paper. The time history of ground acceleration has been inversed based on least square method under incomplete response data. Structural parameters are identified by Extended Kalman Filter (EKF). The input information problem of EKF is resolved and good results are obtained. Numerical example shows that the identified results with small error are obtained under up to 20% of white noise. The method is shown to be robust and error-tolerant in identification of shear structures.
引文
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[7]李杰,陈隽.子结构物理参数识别与输入地震动的复合反演研究[J].振动与冲击,1998,17(1):58~62.Li Jie, Chen Jun. Identification of sub-structural parameters and inversion of ground motion [J]. Journal of Vibration and Shock,1998,17(1):58~62.(in Chinese)
[8] Koh C G, See L M, Balendra T. Estimation of structural parameters in time domain: A structure approach [J]. Eng.& Struc. Dynamics,1991,20(8):787~802.
[9] Andrew H Jazwinski. Stochastic processes and filtering theory [M]. Academic Press,1970.
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[2] Baman MoR, Banan MaR and Hjelmstad K D.Time-domain parameter estimation algorithm for structures,Ⅱ: Numerical simulation studies [J]. Eng.Mech.,1995,121(3):435~447.
[3] Wang D, Haldar A. Element-level system identification with unknown input [J]. Eng. Mech.,1994,120(1):159~176.
[4]李杰,陈隽.结构参数未知条件下的地震动反演研究[J].地震工程与工程振动,1997,17(3):27~35.Li Jie, Chen Jun. Inversion of ground motion with unknown structural parameters [J]. Earthquake Engineering and Engineering Vibration,1997,17(3):27~35.(in Chinese)
[5] Oreta A C. and Tanabe T. Element identification of member properties of framed structures [J]. Struc. Eng.,1994,120(7):1961~1976.
[6]冯新,周晶,陈健云.一种结构参数识别的二阶段方法[J].计算力学学报,2002,19(2):222~227.Feng Xin, Zhou Jing, Chen Jianyun. A two-stage method for identification of structural parameters [J]. Chinese Journal of Computational Mechanics,2002,19(2):222~227.(in Chinese)
[7]李杰,陈隽.子结构物理参数识别与输入地震动的复合反演研究[J].振动与冲击,1998,17(1):58~62.Li Jie, Chen Jun. Identification of sub-structural parameters and inversion of ground motion [J]. Journal of Vibration and Shock,1998,17(1):58~62.(in Chinese)
[8] Koh C G, See L M, Balendra T. Estimation of structural parameters in time domain: A structure approach [J]. Eng.& Struc. Dynamics,1991,20(8):787~802.
[9] Andrew H Jazwinski. Stochastic processes and filtering theory [M]. Academic Press,1970.
[10]尚久铨.卡尔曼滤波法在结构动态参数估计中的应用[J].地震工程与工程振动,1991,11(2):62~72.Shang Jiuquan. Application of Kalman filter method to dynamic parameter estimation of structures [J].Earthquake Engineering and Engineering Vibration,1991,11(2):62~72.(in Chinese)
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