Structural Engineering and Mechanics

Volume 99, Number 1, 2026, pages 21-45

DOI: 10.12989/sem.2026.99.1.021

Two-stage offline-online FE model updating with uncertainty quantification for cable-stayed bridges

Hong Li , Kun Zhang , Zhouhong Zong , Jie Niu

Abstract

Online model updating of bridge structures during operation represents a critical challenge in structural health monitoring. A two-stage online model updating strategy for long-span cable-stayed bridges is developed using the Guanhe Bridge as a case study. In Stage 1, a reference finite element model accounting for parameter uncertainties is established through a sensitivity-based interval response surface method with historical offline data. Sensitivity analysis, optimal Latin hypercube sampling, and multi-objective optimization via a multi-island genetic algorithm are integrated. An average relative error within 0.5% is achieved for the target frequencies. The resulting model captures the uncertainty range of operational parameters and serves as a reliable benchmark for online updating. In Stage 2, online-identified frequency information is incorporated into a deterministic model updating process, enabling rapid dynamic model updates. This finite element model updating, based on online modal frequencies, yields a maximum relative error of 0.86% for the second horizontal mode H2. The uncertainty of the updated parameters is substantially reduced, and the credibility of the results is enhanced. Dynamic model updates are thus achieved on a shorter time scale. This two-stage method provides theoretical foundations and technical support for online safety state assessment of cable-stayed bridges.

Key Words

cable-stayed bridge; interval response surface method; multi-island genetic algorithm; online model updating; sensitivity analysis; uncertainty quantification

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