融合响应先验信息和加权字典的移动荷载识别
Integrating response prior information and weighted dictionary for moving force identification
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摘要: 稀疏正则化方法已被证明能够有效解决移动荷载识别(MFI)中的不适定性问题。然而,现有研究往往忽略了 移动荷载中静态与动态分量之间的差异,导致识别精度受限。为此,提出了一种融合响应先验信息和加权字典的移 动荷载识别方法。建立了车桥系统中车致桥梁响应与移动车载之间的线性关系。分别对弯矩和加速度响应开展频 域分析,将获得的频率先验信息分别用于构建与静态和动态荷载分量相匹配的加权字典。利用该加权字典,采用 ADMM (Alternating Direction Method of Multipliers)分别求解移动荷载中的静态和动态分量。通过实桥数值案例 证明了所提方法的有效性,并在实验室开展了一系列 MFI 实验验证。结果表明,融合响应先验信息和加权字典能 够有效提升荷载识别精度,并增强其对噪声的鲁棒性。Abstract: Sparse regularization has been proven to be effective in addressing the ill-posed problem in moving force identification (MFI). However, existing methods often neglect frequency characteristic disparities between static and dynamic components in moving loads, thereby limiting the identification accuracy. Therefore, an MFI method integrating response prior information and weighted dictionary is proposed. A linear relationship between vehicle-induced bridge responses and moving vehicle loads is estab? lished in bridge-vehicle system. Once frequency domain analysis is separately performed on bending moment and acceleration re? sponses, the obtained frequency prior information is then employed to construct weighted dictionaries that correspond to both static and dynamic load components. Subsequently, the static and dynamic components of moving loads are individually solved by alter? nating direction method of multipliers (ADMM). The effectiveness of proposed method is demonstrated through numerical simula? tions on a real bridge, and a series of MFI experiments are conducted in laboratory. Results show that the weighted dictionaries con? sidering response prior information significantly improves the accuracy of force identification and enhance its robustness to noise.