基于动静载荷数据的桥梁贝叶斯有限元模型多目标更新方法

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中图分类号：TU441.3 文献标志码：A 文章编号：1008-0562（2026）02-0216-08

Abstract： To address the low prediction accuracy and limited engineering applicability of single-objective optimization method in traditional finite element model updating，amulti-objective updating method of Bayesian finiteelement model based on static and dynamic load data is proposed to improve the simulationabilityof the model to the structural response of continuous beam bridge under composite load.The global dynamic characteristic parameters such as the first threefrequencies and modes of the structure are obtained by dynamic load test，and the multi-objective non-dominated sorting genetic algorithm II（NSGA-II）is used to synchronously optimize the frequency residual and modal confidence criterion residual，ensuring the accurate calibrationof the dynamiccharacteristics of the finiteelement model.Basedon the deflection dataof the key sections obtained fromthestatic load test，a multi-level verification system was established to verifythe localresponse of the modified model.The results show that the proposed multi-objective optimization method can effectively coordinate the conflicts between different objectives，and the response frequency errorof the modified model is controlled between 0.70%-4.02% .The static load test shows that the model deflection prediction error range is 2.97%9.27% ，which is at an acceptable level. The research conclusions can provide theoretical and methodological support for health monitoring and performance evaluation of similar bridge structures.

Keywords：live and dead loads；Bayesian theory;multi-objective optimization;finiteelement model;model updating;dynamiccharacteristics

0 引言

土木工程结构在服役期间承受着多种类型载荷的复合作用，其动力响应特性与结构健康状态密切相关。（剩余12461字）