考虑运营荷载的大跨径拱桥层次贝叶斯模型修正方法

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振动与冲击 ›› 2025, Vol. 44 ›› Issue (1) : 288-297.

土木工程

考虑运营荷载的大跨径拱桥层次贝叶斯模型修正方法

罗岚炘1，宋明明1,2，钟华强5，何天涛1,4，孙利民*1,2,3

作者信息 +

Hierarchical Bayesian model updating method for long-span arch bridge considering operational loads

LUO Lanxin1, SONG Mingming1,2, ZHONG Huaqiang5, HE Tiantao1,4, SUN Limin*1,2,3

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摘要

现有大跨径桥梁有限元模型修正方法（Finite element model updating, FEMU）一般未考虑运营荷载对结构动力特性的影响，导致修正后模型的参数变异性大。鉴于此，本文提出了一种考虑运营荷载的层次贝叶斯有限元模型修正方法，该方法包含考虑温度和交通荷载的概率参数修正、概率响应预测和结构状态评估。首先，根据监测数据的相关性分析结果确定了计算理论频率时需要考虑的荷载。随后，建立了温度-弹性模量线性关系，并基于动态称重（Weigh-in-motion, WIM）数据，提出一种车辆荷载估计方法，以在有限元模型中定量考虑运营荷载对结构频率的影响。同时，引入两阶段马尔科夫链蒙特卡洛（Markov Chain Monte Carlo, MCMC）采样方法和响应面代理模型，以提高概率模型修正的计算速率。该方法在一座采集了两年监测数据的大跨径拱桥上得到了验证。结果表明，在考虑运营荷载、参数不确定性和建模误差后，实测频率基本处于预测频率的95%置信区间内。最后，基于实测响应和预测响应置信区间提出了一个结构状态指标，并利用该指标检测出该桥的路面铺装更换过程。

Abstract

Existing finite element model updating (FEMU) methods for long-span bridges often fail to consider the effects of external loads on the structural dynamic properties, leading to a high degree of parameter variability in the updated model. Therefore, a hierarchical Bayesian FEMU method considering operational loads is proposed in this paper, which consists of the definition of the updating parameters considering temperature and traffic loads, response prediction considering uncertainties, and structural condition assessment. Firstly, the correlation analysis of the monitoring data is conducted to determine the loads considered in the theoretical frequency simulation. Then, a linear relationship between temperature and material elastic modulus, and a vehicle load estimation method based on Weigh-in-Motion (WIM) data are proposed to quantitatively consider the effect of operational loads on the structural natural frequencies in the FE model. Subsequently, a two-step Markov Chain Monte Carlo (MCMC) method and a response surface surrogate model are introduced to accelerate the updating process. The proposed method is validated on a long-span arch bridge with two-year-long monitoring data. The results show that the measured frequencies are generally within the 95% confidence interval of the predicted frequencies, considering the operational loads, parameter uncertainties, and modeling errors. Finally, a structural state indicator based on predicted and measured frequencies is proposed, which detects the pavement replacement process of the bridge.

导出引用

罗岚炘1, 宋明明1, 2, 钟华强5, 何天涛1, 4, 孙利民1, 2, 3. 考虑运营荷载的大跨径拱桥层次贝叶斯模型修正方法[J]. 振动与冲击, 2025, 44(1): 288-297

LUO Lanxin1, SONG Mingming1, 2, ZHONG Huaqiang5, HE Tiantao1, 4, SUN Limin1, 2, 3. Hierarchical Bayesian model updating method for long-span arch bridge considering operational loads[J]. Journal of Vibration and Shock, 2025, 44(1): 288-297

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