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

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Journal of Vibration and Shock ›› 2025, Vol. 44 ›› Issue (1) : 288-297.

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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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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.

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finite element model updating / hierarchical Bayesian / operational loads / long-span arch bridge / structural state assessment

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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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