大跨斜拉桥抖振响应简化分析方法及试验验证  

Simplified analysis method and experimental verification for buffeting response of long-span cable-stayed bridge

作　　者：甘泽鹏 邓佳逸 吴庆 张吉仁 曹楠奎 封周权[1,2,4] 华旭刚[1,2] 牛华伟[1,2] GAN Zepeng;DENG Jiayi;WU Qing;ZHANG Jiren;CAO Nankui;FENG Zhouquan;HUA Xugang;NIU Huawei(State Key Laboratory of Bridge Safety and Resilience,Hunan University,Changsha 410082,China;Hunan Provincial Key Laboratory for Wind and Bridge Engineering,Hunan University,Changsha 410082,China;TY.Lin International Engineering Consulting(China)Co.,Ltd.,Chongqing 401121,China;Research Institute of Hunan University in Chongqing,Chongqing 401133,China)

机构地区：[1]湖南大学桥梁工程安全与韧性全国重点实验室,湖南长沙410082 [2]湖南大学风工程与桥梁工程湖南省重点实验室,湖南长沙410082 [3]林同棪国际(中国)工程咨询有限公司,重庆401121 [4]湖南大学重庆研究院,重庆401133

出　　处：《铁道科学与工程学报》2025年第3期1165-1176,共12页Journal of Railway Science and Engineering

基　　金：重庆市自然科学基金项目(2022NSCQ-MSX5727);智慧城市物联网国家重点实验室(澳门大学)开放课题(SKL-IoTSC(UM)-2021-2023/ORP/GA09/2022)。

摘　　要：大跨斜拉桥的抖振分析是桥梁抗风设计的重要内容,通常采用风洞试验和有限元分析进行。然而,使用有限元进行分析的过程中需要定义气动刚度和气动阻尼矩阵,其计算时间会随着结构单元数的增加而急剧增长。为提高结构抖振响应有限元分析的计算效率,提出一种抖振响应有限元分析的简化方法,并通过数值模拟仿真和全桥气弹风洞试验验证该方法的有效性。首先,采用抖振响应分析的简化模型,在有限元分析中忽略气动刚度,而气动阻尼则通过附加模态阻尼比进行考虑,并通过模态叠加法进行动力响应计算,从而降低计算复杂性。然后,利用数值模拟仿真和全桥气弹风洞试验对所提方法进行对比验证。研究结果显示,在设计基准风速32.3m/s和0°攻角条件下,成桥状态主梁在跨中和四分点的竖向抖振位移响应均方根值分别为风洞试验测得的39.6mm和21.1mm;而采用本文方法进行数值模拟仿真得到的结果为40.7mm和21.6mm,对应的相对误差分别为2.78%和2.37%。对比结果表明,数值模拟仿真所得的抖振响应与风洞试验结果基本吻合,证明了所提方法的有效性和可靠性。因此,在大跨度斜拉桥抖振响应分析中,可以采用简化的有限元分析方法,忽略气动刚度矩阵,通过附加模态阻尼比考虑气动阻尼,以提高计算效率。这种分析方法大大地简化了分析复杂度,适用于工程实际需求。Analysis of buffeting response in long-span cable-stayed bridges is a critical aspect of wind-resistant design.Typically,wind tunnel tests and finite element analysis are used for this purpose.However,defining the aerodynamic stiffness and damping matrices in finite element analysis leads to significantly increased computation time with an increase in the number of structural elements.To enhance the efficiency of finite element analysis for buffeting response,this article proposed a simplified approach and validates its effectiveness through numerical simulations and a full-bridge aeroelastic model wind tunnel test.Firstly,a simplified model was developed where aerodynamic stiffness was neglected.The erodynamic damping was considered through additional modal damping ratios.Dynamic response calculations were then performed using modal superposition to reduce computational complexity.Subsequently,the proposed method was validated through comparative analysis with numerical simulations and a full-bridge aeroelastic model wind tunnel test.The results demonstrate that at a designed wind speed of 32.3 m/s in the completed bridge state with a 0°angle of attack,the root-meansquare value of vertical buffeting displacements at mid-span and quarter-span position measured in wind tunnel tests are 39.6 mm and 21.1 mm,respectively,while the numerical simulation results are 40.7 mm and 21.6 mm.The relative errors are 2.78% and 2.37%,respectively.The comparative analysis indicates that the buffeting responses obtained from numerical simulations closely match the wind tunnel test results,affirming the effectiveness and reliability of the proposed method.Therefore,in the analysis of buffeting response in long-span cable-stayed bridges,a simplified finite element analysis approach can be adopted by neglecting the aerodynamic stiffness matrix and considering aerodynamic damping through additional modal damping ratios to improve computational efficiency.This calculation method can greatly simplify the analysis complexity and is well

关 键 词：抖振响应 有限元分析 气动阻尼 模态阻尼比 计算效率 

分 类 号：U442.55[建筑科学—桥梁与隧道工程] U24[交通运输工程—道路与铁道工程]