吉林大学学报(工学版) ›› 2023, Vol. 53 ›› Issue (6): 1658-1668.doi: 10.13229/j.cnki.jdxbgxb.20221197

• 交通运输工程·土木工程 • 上一篇    

简化U形峡谷风速分布及其对悬索桥抖振响应的影响

王俊1(),李加武1,2(),王峰1,2,张久鹏1,黄晓明3   

  1. 1.长安大学 公路学院,西安 710064
    2.长安大学 风洞实验室,西安 710064
    3.东南大学 交通学院,南京 210018
  • 收稿日期:2022-09-16 出版日期:2023-06-01 发布日期:2023-07-23
  • 通讯作者: 李加武 E-mail:1105737217@qq.com;ljw@gl.chd.edu.cn
  • 作者简介:王俊(1992-),男,博士研究生.研究方向:山区风场特性及大跨径桥梁抗风.E-mail:1105737217@qq.com
  • 基金资助:
    国家重点研发计划项目(2021YFB2600600);国家自然科学基金项目(51978077)

Wind speed distribution in simplified U⁃shaped valley and its effect on buffeting response of long⁃span suspension bridge

Jun WANG1(),Jia-wu LI1,2(),Feng WANG1,2,Jiu-peng ZHANG1,Xiao-ming HUANG3   

  1. 1.School of Highway,Chang'an University,Xi'an 710064,China
    2.Wind Tunnel Laboratory,Chang'an University,Xi'an 710064,China
    3.School of Transportation,Southeast University,Nanjing 210018,China
  • Received:2022-09-16 Online:2023-06-01 Published:2023-07-23
  • Contact: Jia-wu LI E-mail:1105737217@qq.com;ljw@gl.chd.edu.cn

摘要:

使用理论推导和地形试验的方法研究了简化U形峡谷的风速规律,并分析了峡谷中大跨径悬索桥的抖振响应。研究表明:简化U形峡谷中的风速是在顺压力梯度、峡谷宽深比等因素综合作用下的结果;风速加速效应随着宽深比的增大而增加;风速的横向分布符合抛物线模式,地形模型风洞试验也验证了抛物线分布的合理性;相比较抛物线分布模式,规范推荐的均匀分布风速模式会高估大跨径悬索桥主梁位置的抖振位移响应和关键位置的抖振内力响应。本文研究结果可为峡谷地区桥梁抗风设计提供参考。

关键词: 桥梁工程, U形峡谷, 悬索桥, 风速分布, 抖振响应, 理论推导, 地形模型风洞试验

Abstract:

The wind speed law in the simplified U-shaped valley was studied by theoretical deduction and terrain model wind tunnel test, and the buffeting response of a long-span suspension bridge in the valley was evaluated. The results demonstrate that the wind speed in the simplified U-shaped valley is the result of combined effects of pressure gradient and width to depth ratio. The acceleration effect of wind speed grows with the increase of the width to depth ratio. The spanwise distribution of wind speed conforms to the parabolic model, and the result of the terrain model wind tunnel test also verifies its rationality. Compared with the parabolic distribution model, the uniform distribution wind speed model recommended by the Code overestimates the buffeting displacement response at the main girder position and the internal force response at the key position of the bridge. The research can provide a reference for bridge wind-resistant design in the valley.

Key words: bridge engineering, U-shaped valley, suspension bridge, wind speed distribution, buffeting response, theoretical derivation, terrain model wind tunnel test

中图分类号: 

  • U442

图1

简化U形峡谷示意图"

图2

Poiseuille流动示意图"

图3

压力梯度对Poiseuille流动的影响"

图4

槽宽对Poiseuille流动的影响"

图5

地形模型风洞试验设备"

表1

试验工况"

工况编号宽度B/mm深度H/mm半径R/mm宽深比ε
U16006006001.00
U25006006000.83
U34006006000.67
U43006006000.50
U52006006000.33

图6

地形模型风洞试验照片"

图7

测点布置示意图"

图8

宽深比对风速的影响"

图9

简化U形峡谷风速横向分布"

图10

拟合系数与宽深比的关系"

图11

悬索桥桥型布置图"

图12

悬索桥主梁横断面图"

图13

悬索桥有限元模型"

图14

悬索桥主要振型图"

表2

悬索桥结构动力特性"

振型号悬索桥频率/Hz振型描述
10.061一阶正对称侧弯
20.098一阶反对称竖弯
30.146一阶正对称竖弯
40.148一阶反对称竖弯
130.302一阶正对称扭转
140.307主缆侧弯
170.335一阶反对称扭转
300.506二阶反对称扭转

图15

悬索桥主梁静三分力系数"

图16

悬索桥风洞试验模型"

图17

悬索桥颤振导数"

表3

抖振分析工况"

工况序号展向风速目标谱
分布模式风速/(m·s-1顺风向竖向
1均匀35SimiuPanofsky
2抛物线35SimiuPanofsky

图18

悬索桥脉动风场模拟结果(工况2,顺风向)"

图19

悬索桥关键位置抖振位移响应RMS时程"

图20

风速展向分布模式对悬索桥主梁抖振位移响应RMS的影响"

图21

悬索桥关键位置抖振内力响应的RMS时程"

表4

风速展向分布模式对悬索桥关键位置抖振内力(无量纲)的影响"

位置顺向轴力竖向剪力横向剪力扭转弯矩横向弯矩竖向弯矩
主梁左塔梁端0.740.450.470.470.600.19
主梁主跨1/4L0.770.530.350.610.780.19
主梁主跨1/2L0.190.450.650.510.390.15
主梁主跨3/4L0.740.480.300.830.950.16
主梁右塔梁端0.740.370.570.450.520.15
位置竖向轴力面内剪力面外剪力扭矩面外扭矩面内扭矩
桥塔左塔底0.670.400.990.740.940.14
桥塔右塔底0.410.420.510.520.490.15
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