张肖雄, 贺佳. 基于扩展卡尔曼滤波的结构参数和荷载识别研究[J]. 工程力学, 2019, 36(4): 221-230. DOI: 10.6052/j.issn.1000-4750.2018.03.0139
引用本文: 张肖雄, 贺佳. 基于扩展卡尔曼滤波的结构参数和荷载识别研究[J]. 工程力学, 2019, 36(4): 221-230. DOI: 10.6052/j.issn.1000-4750.2018.03.0139
ZHANG Xiao-xiong, HE Jia. IDENTIFICATION OF STRUCTURAL PARAMETERS AND UNKNOWN EXCITATIONS BASED ON THE EXTENDED KALMAN FILTER[J]. Engineering Mechanics, 2019, 36(4): 221-230. DOI: 10.6052/j.issn.1000-4750.2018.03.0139
Citation: ZHANG Xiao-xiong, HE Jia. IDENTIFICATION OF STRUCTURAL PARAMETERS AND UNKNOWN EXCITATIONS BASED ON THE EXTENDED KALMAN FILTER[J]. Engineering Mechanics, 2019, 36(4): 221-230. DOI: 10.6052/j.issn.1000-4750.2018.03.0139

基于扩展卡尔曼滤波的结构参数和荷载识别研究

IDENTIFICATION OF STRUCTURAL PARAMETERS AND UNKNOWN EXCITATIONS BASED ON THE EXTENDED KALMAN FILTER

  • 摘要: 经典的扩展卡尔曼滤波(Extend Kalman Filter,EKF)方法可有效识别结构参数,但却需要已知外部激励,然而,在工程实际中,有些外激励往往难以实时获取。为此,该文提出了一种基于EKF的未知激励下的结构参数和荷载识别方法。通过在观测方程中引入投影矩阵,实现了结构参数的识别,同时,利用最小二乘估计实时识别了未知的外激励。为了验证该方法的有效性和鲁棒性,文中采用了三个数值算例:四层的Benchmark模型、分段线性系统和非线性Duffing系统。数值分析的结果表明,该方法不仅能够准确识别线性和非线性结构的参数,还能有效识别作用于这些结构的外激励。

     

    Abstract: The classical extended Kalman filter (EKF) method is capable of accurately identifying structural parameters with known external excitations. However, in some practical situations, the excitations are difficult or impossible to measure. A time-domain approach based on EKF is proposed in this paper for the simultaneous identification of structural parameters and unknown inputs. A projection matrix is introduced in the observation equation, based on which the structural parameters are identified. The unknown inputs are determined by means of least squares estimation using the estimated parameters. The effectiveness and robustness of the proposed approach is verified through three numerical examples including a four-story benchmark model, a piecewise linear structure and a Duffing hysteretic structure. The numerical results show that the proposed approach can not only accurately identify the parameters of linear and nonlinear structures, but also satisfactorily estimate the unknown external excitations.

     

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