斜拉桥挠度影响线识别与模型修正试验研究

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振动与冲击 ›› 2024, Vol. 43 ›› Issue (21) : 202-210.

论文

斜拉桥挠度影响线识别与模型修正试验研究

周宇1,2,3，石英迪1,3，狄生奎2，方登甲2，李萌1,3

作者信息 +

Test study on deflection influence line identification and model modification of cable-stayed bridge

ZHOU Yu1,2,3, SHI Yingdi1,3, DI Shengkui2, FANG Dengjia2, LI Meng1,3

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摘要

有限元模型往往不能反应桥梁真实的运营状况，无法对桥梁结构整体受力状态进行精确分析。为建立适用于斜拉桥高精度分析的有限元模型，提出一种基于实测挠度影响线与GA-BP（genetic algorithm-back propagation）网络的有限元模型修正方法。首先对某斜拉桥单一测点挠度影响线识别，提出采用经验变分模态分解((empirical and variational mixed modal decomposition, E-VMD)剔除车致响应动力成分，结合Tikhonov正则化方法求解影响线识别方程，对某真实斜拉桥挠度影响线进行重构，准确还原其准静态挠度影响线，通过GA-BP网络选取修正参数，构建以挠度影响线为目标参数的回归预测方法；最后将实测挠度影响线代入网络模型，得到修正后的有限元模型优化参数。经计算分析，修正后模型控制截面挠度影响线处相对误差从57.2%下降至14.1%，灰色相关系数升至0.9076，修正后有限元模型分析精度有大幅提升，更贴近桥梁真实运营状态。

Abstract

The finite element model often fails to reflect the real operating condition of the bridge and cannot accurately analyze the overall stress state of the bridge structure. In order to establish a finite element model suitable for high-precision analysis of cable-stayed bridges, a finite element model correction method based on the measured deflection influence line and GA-BP network is proposed. Firstly, to identify the deflection influence line of a single measurement point of a cable-stayed bridge, it is proposed to adopt the empirical variational modal decomposition (E-VMD) to eliminate the dynamic component of vehicular response, and combine with the Tikhonov regularization method to solve the influence line identification equations, to reconstruct the deflection influence line of a real cable-stayed bridge, and to accurately restore the quasi-static deflection influence line of a real cable-stayed bridge, and then to construct a regression prediction method by selecting the correction parameter with the deflection influence line as the target parameter by using the GA-BP network. The modified parameters are selected by GA-BP network to construct the regression prediction method with the deflection influence line as the target parameter; finally, the measured deflection influence line is substituted into the network model to obtain the optimization parameters of the modified finite element model. After calculation and analysis, the relative error at the deflection line of the modified model control section decreased from 57.2% to 14.1%, and the gray correlation coefficient increased to 0.9076, which improved the analysis accuracy of the modified finite element model and made it closer to the real operation state of the bridge.

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周宇1, 2, 3, 石英迪1, 3, 狄生奎2, 方登甲2, 李萌1, 3. 斜拉桥挠度影响线识别与模型修正试验研究[J]. 振动与冲击, 2024, 43(21): 202-210

ZHOU Yu1, 2, 3, SHI Yingdi1, 3, DI Shengkui2, FANG Dengjia2, LI Meng1, 3. Test study on deflection influence line identification and model modification of cable-stayed bridge[J]. Journal of Vibration and Shock, 2024, 43(21): 202-210

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