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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。
The mathematic model of operation bridge structure system identification and the method of point estimation and interval estimation for indirect identification of operating bridge structure parameters are established. The system identification theory is introduced to define the data, model and criterion elements of the operation bridge structure. Based on the vehicle response, the indirect identification of the structure parameters based on the vehicle response is realized through the optimization of the criterion. Based on the semi-analytical solution, , Semi-analytical solution of white noise and numerical solution to the frequency and stiffness of the structure were added to identify the response, parameter point estimation and parameter interval estimation. The identification results show that: the different model classes significantly affect the error of point estimation and the overall distribution of interval estimation, and the noise level significantly affects the length of interval estimation; thus, the suitable model classes are pointed out, and the noise reduction during testing and analysis is applied to the next step of the project The key factor.