环境激励下大跨度斜拉桥模态参数识别的贝叶斯谱分解法研究

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关键词：大跨度斜拉桥；模态识别；贝叶斯推理；环境振动；谱分解；不确定性量化 中图分类号：U441.3 文献标志码：A DOI：10.16385/j.cnki.issn.1004-4523.20240201

Bayesian spectral decomposition method for identifying modal parameters in long-span cable-stayed bridges under ambient excitation

FENG Zhouquan12， ZHANG Jiren12， WEN Qing， SHI Shuangfal2， JING Qiang4， GAO Wenbo4， HUA Xugang12 （1.Hunan Provincial Key Laboratoryof Wind and Bridge Engineering，Hunan University，Changsha 41oo82，China;

2.State Key Laboratory of Bridge Safety and Resilience，Hunan University， Changsha 410o82，China;

3.HunanProvincialKeyLaboratoryofStructuresforWindEngineringand VibrationalControl，Hunan UniversityofScienceand Technology，Xiangtan 411201，China；4.Hong Kong-Zhuhai-Macao Bridge Authority， Zhuhai 519060，China）

Abstract：Inrecntyear，Bayesianodalidentificationmetodavegiedwidespreadapcatinintefeldofongspanbdgsdueto theircapabilttquantifunceraityTofurtrancteomputatioalfcecyofBayesianodalpameteridentifcatioovel approachcaled Bayesianspectraldecomposition （BSD）is proposed basedontheideasof frequencydomaindecomposition （FDD）and Bayesianspectraldnsityappoach （BDA）.Teresponsespectrummatricesneareachmodearesingularvuedecomposedtobtainsingular values（contaigfreqecadampigifoatio）andsingulartorsontaigodeshapeifoatio）.Tsatisticalprotisf singularvaluesandsingularvectorsaretilizedtodrivetheposteriorprobabitdistibutionfunctionPF）ofthemodalparaetert transformthemodalparameteridentificationintoanoptimizationproblemoffindingthemaximumposteriorprobabilitypoint.AGusian ditributionisplodtpoiateteosterfucetyantifaoftdeiultsefecivesfeB method is validated troughanumericalmodelwitha6storyframe.Subsequently，theBSDmethodisappliedtoalong-spancablstyed bridge，andthodalparametersoftedgarntidusingambentvibratiodata.Aomparatieaalysisinductedithesults obtainedusigestiubspceetiftioentatsultsfurtmostateiesdupf BSD method.

Keywords：lospacabtaidgs；modalientiatio;asianochntatio；sptralcopoiot quantification

斜拉桥是大跨桥梁的主要桥型之一，通过动力试验进行模态参数识别，对于其设计和运维均具有重要意义[。（剩余13047字）