运营桥梁结构间接辨识的统计估计方法

STATISTICAL ESTIMATION ON OPERATIONAL BRIDGE BY INDIRECT IDENTIFICATION

  • 摘要: 建立了运营桥梁结构系统辨识的数学模型,以及对于运营桥梁结构参数实现间接辨识的点估计及区间估计的方法。引入系统辨识理论,定义了运营桥梁结构的数据、模型类、准则要素;基于车辆响应,通过对准则优化的实现,实现了基于车辆响应对结构参数的间接辨识;分别基于半解析解、数值解、加入白噪声的半解析解以及数值解对结构的频率和刚度,进行了响应辨识、参数点估计与参数区间估计。辨识结果表明:不同模型类显著影响点估计的误差与区间估计的整体分布,噪声水平显著影响区间估计的长度;由此指出了合适模型类,测试与分析过程中降噪为下一步工程应用的关键因素。

     

    Abstract: A mathematical model is proposed on an operational bridge, and the bridge parameters are statistically estimated by vehicle responses. The data, modal set, and criterion of the operational bridge system were obtained by the principle based on the system identification theory. The indirect identification was performed by an optimized criterion. The vehicle response was reconstructed and the point estimation and the interval estimation were performed on the bridge frequency and stiffness. The influence of the different modal set was investigated by the methods base on the semi-analytical, numerical, noised semi-analytical and numerical solution. The model set affects the point estimation significantly and the noises affects estimation interval pronouncedly, which indicate that the proper set and the noises decreasing are the key factors for the engineering applying.

     

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