基于移动车辆响应的曲线梁桥竖向和径向模态振型识别研究  

IDENTIFICATION OF VERTICAL AND RADIAL MODE SHAPES OF CURVED BRIDGES BY A MOVING VEHICLE

作　　者：刘玉红 杨永斌[1] 徐昊 LIU Yu-hong;YANG Yong-bin;XU Hao(School of Civil Engineering,Chongqing University,Chongqing 400045,China)

机构地区：[1]重庆大学土木工程学院,重庆400045

出　　处：《工程力学》2025年第5期21-31,共11页Engineering Mechanics

基　　金：国家自然科学基金项目(52208146,52078082);重庆市自然科学基金项目(CSTB2022NSCQ-MSX1471);中国博士后基金项目(2022M720580)。

摘　　要：基于车-曲线桥动力理论,提出利用驶过曲线梁桥的移动车辆其振动响应来间接识别桥梁竖向和径向模态振型。该文推导得到曲梁平面内、外动力响应以及车-曲线桥接触响应理论解,给出了竖向和径向接触响应计算公式以消除车体响应自身频率干扰,随后建立了变分模态分解(VMD)和希尔伯特变换(HT)相结合的技术识别曲线桥模态振型。数值研究结果表明:VMD-HT技术可从接触响应中准确识别出曲线桥竖向和径向模态振型;曲线桥半径对振型识别结果影响较小;相较于单跨桥,多跨曲线桥的振型识别结果轻微下降。该研究可为车辆扫描法在曲线桥检测中的应用提供理论参考。Based on the vehicle-curved bridge dynamic interaction,a procedure is proposed for recovering vertical and radial mode shapes of curved bridges from the dynamic responses of a passing vehicle.Closed-form solutions are derived for the out-of-plane and in-plane vibrations of the curved beam,as well as the vehicle-curved bridge contact responses.The formulas for calculating both the vertical and radial contact responses from the vehicle response are given to eliminate the adverse effect of the vehicle’s frequency.The variational mode decomposition(VMD)and Hilbert transform(HT)are applied to construct the vertical and radial mode shapes of the curved beam.From the numerical analyses,it was demonstrated that:the VMD-HT can be successfully used for constructing both the vertical and radial mode shapes of the curved bridge from the contact responses with high precision;the radii of the curved bridge have little effect on the identification of mode shapes;compared with the single-span bridge,the identification results of mode shapes of the multi-span curved bridges slightly decrease.This paper provides an analytical reference for the application of vehicle scanning method for curved bridges.

关 键 词：桥梁工程 曲线桥振型 车辆扫描法 变分模态分解 希尔伯特变换 

分 类 号：U446.3[建筑科学—桥梁与隧道工程]