Journal of Jilin University(Engineering and Technology Edition) ›› 2023, Vol. 53 ›› Issue (6): 1658-1668.doi: 10.13229/j.cnki.jdxbgxb.20221197

Previous Articles    

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

RICH HTML

 1   

PDF (PC)

247

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

CLC Number: 

  • U442

Fig.1

Schematic diagram of the simple U-shaped valley"

Fig.2

Schematic diagram of the Poiseuille flow"

Fig.3

Effect of the pressure gradient on Poiseuille flow"

Fig.4

Effect of the slot width on Poiseuille flow"

Fig.5

Terrain model wind tunnel test equipment"

Table 1

Test conditions"

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

Fig.6

Photo of terrain model wind tunnel test"

Fig.7

Schematic diagram of measuring point"

Fig.8

Influence of width to deep ratio on wind speed"

Fig.9

Wind speed transverse distribution in the simplified U-shaped valley"

Fig.10

Relationship between fitting coefficient and width to deep ratio"

Fig.11

Layout of the suspension bridge"

Fig.12

Cross section diagram of the bridge main girder"

Fig.13

Finite element model of the suspension bridge"

Fig.14

Main vibration diagrams of the suspension bridge"

Table 2

Dynamic characteristics of the suspension bridge"

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

Fig.15

Static aerodynamic coefficient of the bridge main girder"

Fig.16

Wind tunnel test sectional models of the suspension bridge"

Fig.17

Flutter derivative of the suspension bridge"

Table 3

Cases of the buffeting analysis"

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

Fig.18

Fluctuating wind field simulated results of the suspension bridge （Case 2， along wind ）"

Fig.19

RMS displacement response time history of the key positions on the suspension bridge"

Fig.20

Influence of wind speed spanwise distribution on the buffeting displacement response of the suspension bridge girder"

Fig.21

RMS force response time history of the key positions on the suspension bridge"

Table 4

Influence of wind speed spanwise distribution on the buffeting force response of the key positions on the suspension bridge"

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
1 郑一峰, 赵群, 暴伟, 等. 大跨径刚构连续梁桥悬臂施工阶段抗风性能[J]. 吉林大学学报:工学版, 2018, 48(2): 466-472.
Zheng Yi-feng, Zhao Qun, Bao Wei, et al. Wind resistance performance of long-span continuous rigid-frame bridge in cantilever construction stage[J]. Journal of Jilin University (Engineering and Technology Edition), 2018, 48(2): 466-472.
2 郭殊伦, 钟铁毅, 闫志刚. 大跨度斜拉桥拉索的抖振响应计算方法[J]. 吉林大学学报:工学版, 2021, 51(5): 1756-1762.
Guo Shu-lun, Zhong Tie-yi, Yan Zhi-gang, et al. Calculation of method of buffeting response for stay cables of long-span cable-stayed bridge[J]. Journal of Jilin University (Engineering and Technology Edition), 2021, 51(5): 1756-1762.
3 马建,孙守增,杨琦,等. 中国桥梁工程学术研究综述·2014[J]. 中国公路学报, 2014, 27(5): 1-96.
Ma Jian, Sun Shou-zeng, Yang Qi, et al. Review on China's bridge engineering research: 2021[J]. China Journal of Highway and Transport, 2014, 27(5): 1-96.
4 廖海黎, 李明水, 马存明, 等. 桥梁风工程2019年度研究进展[J]. 土木与环境工程学报:中英文, 2020, 42(5): 56-66.
Liao Hai-li, Li Ming-shui, Ma Cun-ming, et al. State-of-the-art review of bridge wind engineering in 2019[J]. Journal of Civil and Environmental Engineering, 2020, 42(5): 56-66.
5 . 公路桥梁抗风设计规范 [S].
6 沈正峰. 喇叭形山口下Π型主梁斜拉桥抖振研究[D]. 西安:长安大学公路学院, 2021.
Shen Zheng-feng. Study on buffeting of the π type main girder cable-stayed bridge in a trumpet-shaped mountain pass[D]. Xi'an: School of Highway, Chang'an University, 2021.
7 宋佳玲. 山区沟谷地形风场特性及其对人行悬索桥静风响应的影响[D]. 西安:长安大学公路学院, 2021.
Song Jia-ling. Study on wind characteristics and aerostatic performance of pedestrian suspension bridge in the mountainous valleys[D]. Xi'an: School of Highway, Chang'an University, 2021.
8 Song J L, Li J W, Xu R Z, et al. Field measurements and CFD simulations of wind characteristics at the Yellow River bridge site in a converging-channel terrain[J]. Engineering Applications of Computational Fluid Mechanics, 2022, 16(1): 58-72.
9 Lystad T M, Fenerci A, Øiseth O. Evaluation of mast measurements and wind tunnel terrain models to describe spatially variable wind field characteristics for long-span bridge design[J]. Journal of Wind Engineering and Industrial Aerodynamics, 2018, 179: 558-573.
10 Tang H J, Li Y L, Shum K M, et al. Non-uniform wind characteristics in mountainous areas and effects on flutter performance of a long-span suspension bridge[J]. Journal of Wind Engineering and Industrial Aerodynamics, 2020, 201: No.104177.
11 Ren W, Pei C, Ma C, et al. Field measurement study of wind characteristics at different measuring positions along a bridge in a mountain valley[J]. Journal of Wind Engineering and Industrial Aerodynamics, 2021, 216: No. 104705.
12 王浩,李爱群. 大跨度悬索桥抖振数值模拟与现场实测:平稳分析[M]. 南京: 东南大学出版社, 2015.
13 赵林, 李珂, 闫俊峰, 等. 典型流线桥梁断面缩阶微分方程抖振气动力模型[J]. 振动工程学报, 2017, 30(3): 413-421.
Zhao Lin, Li Ke, Yan Jun-feng, et al. Reduced differential equation aerodynamic buffeting model of typical streamlined bridge cross-section[J]. Journal of Vibration Engineering, 2017, 30(3): 413-421.
14 Shen Z, Li J, Li R, et al. Nonuniform wind characteristics and buffeting response of a composite cable-stayed bridge in a trumpet-shaped mountain pass[J]. Journal of Wind Engineering and Industrial Aerodynamics, 2021, 217: No. 104730.
15 Diana G, Yamasaki Y, Larsen A, et al. Construction stages of the long span suspension Izmit Bay Bridge: wind tunnel test assessment[J]. Journal of Wind Engineering and Industrial Aerodynamics, 2013, 123: 300-310.
16 Argentini T, Rocchi D, Somaschini C. Effect of the low-frequency turbulence on the aeroelastic response of a long-span bridge in wind tunnel[J]. Journal of Wind Engineering and Industrial Aerodynamics, 2020, 197: No. 104072.
17 李加武, 林志兴, 项海帆. 桥梁断面雷诺数效应[J]. 空气动力学学报, 2005, 23(1): 123-128.
Li Jia-wu, Lin Zhi-xing, Xiang Hai-fan. Reynolds number effect of bridge deck section[J]. Acta Aerodynamica Sinica, 2005, 23(1): 123-128.
18 李加武, 崔欣, 张宏杰, 等. 粗糙度对雷诺数效应的影响[J]. 长安大学学报:自然科学版, 2009, 29(2): 56-59, 64.
Li Jia-wu, Cui Xin, Zhang Hong-jie, et al. Influence of surface roughness on Reynolds number effects [J]. Journal of Chang'an University (Natural Science Edition), 2009, 29(2): 56-59, 64.
19 张丹, 李加武, 徐洪涛. 流线型桥梁断面雷诺数效应[J]. 土木工程与管理学报, 2015, 32(4): 67-72.
Zhang Dan, Li Jia-wu, Xu Hong-tao. Reynolds number effect of streamline-like bridge deck section[J]. Journal of Civil Engineering and Management, 2015, 32(4): 67-72.
20 林阳, 封周权, 华旭刚, 等. 基于自由振动响应识别桥梁断面颤振导数的人工蜂群算法[J]. 工程力学, 2020, 37(2): 192-200.
Lin Yang, Feng Zhou-quan, Hua Xu-gang, et al. Artificial bee colony algorithm for flutter derivatives identification of bridge decks using free vibration records[J]. Engineering Mechanics, 2020, 37(2): 192-200.
21 Ali K, Katsuchi H, Yamada H. Generalized framework for identification of indicial response functions from flutter derivatives of long-span bridges[J]. Engineering Structures, 2021, 244: No.112727.
22 张伟峰, 张志田, 张显雄, 等. 三类气动导纳数值识别方法的适应性研究[J]. 空气动力学学报, 2019, 37(2): 216-225.
Zhang Wei-feng, Zhang Zhi-tian, Zhang Xian-xiong, et al. Applicability study on three numerical methods for identifying aerodynamic admittances[J]. Acta Aerodynamica Sinica, 2017, 37(2): 216-225.
23 Chen W, Zhu Z. Numerical simulation of wind turbulence by DSRFG and identification of the aerodynamic admittance of bridge decks[J]. Engineering Applications of Computational Fluid Mechanics, 2020, 14(1): 1515-1535.
24 王浩, 李爱群. 斜风作用下大跨度桥梁抖振响应时域分析(II):现场实测验证[J]. 土木工程学报, 2009, 42(10): 81-87.
Wang Hao, Li Ai-qun. Time-domain analysis on buffeting response of long span bridge under oblique wind (II): field measurement validation[J]. China Civil Engineering Journal, 2009, 42(10): 81-87.
25 王浩, 李爱群, 焦常科, 等. 基于规范及实测风谱的苏通大桥抖振响应对比研究[J]. 土木工程学报, 2011, 44(10): 91-97.
Wang Hao, Li Ai-qun, Jiao Chang-ke, et al. Comparable study on the buffeting response of sutong bridge based on specification and measured wind power spectrum[J]. China Civil Engineering Journal, 2011, 44(10): 91-97.
26 王浩, 陶天友, 郭彤, 等. 基于实测与规范风谱的三塔悬索桥抖振性能对比[J]. 东南大学学报:自然科学版, 2013, 43(5): 986-992.
Wang Hao, Tao Tian-you, Guo Tong, et al. Comparable study on buffeting performance of triple-tower suspension bridge based on measured wind spectrum and specification wind spectrum[J]. Journal of Southeast University (Natural Science Edition), 2013, 43(5): 986-992.
27 喻梅, 廖海黎, 李明水, 等. 大跨度桥梁斜风作用下抖振响应现场实测及风洞试验研究[J]. 实验流体力学, 2013, 27(3): 51-55, 76.
Yu Mei, Liao Hai-li, Li Ming-shui, et al. Field measurement and wind tunnel test of buffeting response of long-span bridge under skew wind[J]. Journal of Experiments in Fluid Mechanics, 2013, 27(3): 51-55, 76.
28 Cheynet E, Jakobsen J B, Snæbjörnsson J. Buffeting response of a suspension bridge in complex terrain[J]. Engineering Structures, 2016, 128: 474-487.
29 Xu F, Ma Z, Zeng H, et al. A new method for studying wind engineering of bridges: large-scale aeroelastic model test in natural wind[J]. Journal of Wind Engineering and Industrial Aerodynamics, 2020, 202: No.104234.
30 刘波, 彭运动, 侯满. 贵州都格北盘江大桥主桥设计及关键技术[J]. 桥梁建设, 2018, 48(6): 81-86.
Liu Bo, Peng Yun-dong, Hou Man. Design and key technology of main bridge of Beipanjiang Bridge[J]. Bridge Construction, 2018, 48(6): 81-86.
31 《中国公路学报》编辑部. 中国桥梁工程学术研究综述·2021[J]. 中国公路学报, 2021, 34(2): 1-97.
Review on China's bridge engineering research: 2021[J]. China Journal of Highway and Transport, 2021, 34(2): 1-97.
32 Hu L, Xu Y L, Zhu Q, et al. Tropical storm-induced buffeting response of long-span bridges: enhanced nonstationary buffeting force model[J]. Journal of Structural Engineering, 2017, 143(6): No.04017027.
33 陶天友. 台风作用下大跨斜拉桥抖振非平稳效应模拟与实测研究[D]. 南京:东南大学交通学院, 2018.
Tao Tian-you. Simulation and measurement analysis on nonstationary effects of buffeting responses of a long-span cable-stayed bridge under typhoon actions[D]. Nanjing: School of Transportation, Southeast University, 2021.
34 Hao J M, Wu T. Downburst-induced transient response of a long-span bridge: a CFD-CSD-based hybrid approach[J]. Journal of Wind Engineering and Industrial Aerodynamics, 2018, 179: 273-286.
35 归柯庭, 钟文琪. 高等流体力学(一)[M]. 北京: 科学出版社, 2018.
36 陈政清. 桥梁风工程[M]. 北京: 人民交通出版社, 2005.
37 聂若鹰. 风力等级划分参考表[J]. 气象水文海洋仪器, 2007, 81(1): 67.
Nie Ruo-ying. Reference table of wind speed classification[J]. Meteorological, Hydrological and Marine Instruments, 2007, 81(1): 67.
38 党嘉敏. 栏杆展向布置形式对直腹板钢箱梁涡振响应的影响[D]. 西安: 长安大学公路学院, 2021.
Dang Jia-min. The effect of railing spanwise arrangement on vortex-induced vibration of steel box girder with vertical webs[D]. Xi'an: School of Highway, Chang'an University, 2021.
39 Han Y, Shen L, Xu G, et al. Multiscale simulation of wind field on a long-span bridge site in mountainous area[J]. Journal of Wind Engineering and Industrial Aerodynamics, 2018, 177: 260-274.
40 Huang G, Cheng X, Peng L, et al. Aerodynamic shape of transition curve for truncated mountainous terrain model in wind field simulation[J]. Journal of Wind Engineering and Industrial Aerodynamics, 2018, 178: 80-90.
41 庞加斌. 沿海和山区强风特性的观测分析与风洞模拟研究[D]. 上海: 同济大学土木工程学院, 2006.
Pang Jia-bin. Field investigation and wind tunnel simulation of strong wind characteristics in coastal and mountainous regions[D]. Shanghai: College of Civil Engineering, Tongji University, 2021.
42 . Hydrometry-velocity-area methods using current-meters-collection and processing of data for determination of uncertainties in flow measurement [S].
43 杨赐. 风与人群荷载共同作用下人行悬索桥的振动响应[D]. 西安:长安大学公路学院, 2018.
Yang Ci. Vibration response of pedestrian suspension bridge under the combination of wind load and crowd load[D]. Xi'an: School of Highway, Chang'an University, 2018.
[1] Hua WANG,Long-lin WANG,Zi-mo ZHANG,Xin HE. Safety early warning technology of continuous rigid frame bridges based on crack width variation [J]. Journal of Jilin University(Engineering and Technology Edition), 2023, 53(6): 1650-1657.
[2] Yu FENG,Jian-ming HAO,Feng WANF,Jiu-peng ZHANG,Xiao-ming HUANG. Analysis of transient wind⁃induced response of long⁃span bridge under nonstationary wind field [J]. Journal of Jilin University(Engineering and Technology Edition), 2023, 53(6): 1638-1649.
[3] Chun-li WU,Shi-ming HUANG,Kui LI,Zheng-wei GU,Xiao-ming HUANG,Bing-tao ZHANG,Run-chao YANG. Analysis of pier action effect under flood based on numerical simulation and statistical analysis [J]. Journal of Jilin University(Engineering and Technology Edition), 2023, 53(6): 1612-1620.
[4] Guo-jin TAN,Qing-wen KONG,Xin HE,Pan ZHANG,Run-chao YANG,Yang-jun CHAO,Zhong YANG. Bridge scour depth identification based on dynamic characteristics and improved particle swarm optimization algorithm [J]. Journal of Jilin University(Engineering and Technology Edition), 2023, 53(6): 1592-1600.
[5] Hui JIANG,Xin LI,Xiao-yu BAI. Review on development of bridge seismic structural systems： from ductility to resilience [J]. Journal of Jilin University(Engineering and Technology Edition), 2023, 53(6): 1550-1565.
[6] Zi-yu LIU,Shi-tong CHEN,Mo-mo ZHI,Xiao-ming HUANG,Zhe-xin CHEN. Ultimate bearing capacity of temporary⁃permanent conversion rush⁃repair steel pier for emergency use [J]. Journal of Jilin University(Engineering and Technology Edition), 2023, 53(6): 1601-1611.
[7] Yue ZHANG,Chuan-sen LIU,Fei SONG. Influence of abutment back wall on continuous girder bridge's seismic fragility [J]. Journal of Jilin University(Engineering and Technology Edition), 2023, 53(5): 1372-1380.
[8] Shu-wei LAN,Dong-hua ZHOU,Xu CHEN,Nan-ming MO. Practical calculation method for the critical bearing capacity of double column bridge with high piers [J]. Journal of Jilin University(Engineering and Technology Edition), 2023, 53(4): 1105-1111.
[9] Qi-kai SUN,Nan ZHANG,Xiao LIU,Zi-ji ZHOU. Dynamic reduction coefficients of steel⁃concrete composite beam based on Timoshenko beam theory [J]. Journal of Jilin University(Engineering and Technology Edition), 2023, 53(2): 488-495.
[10] Hua-wen YE,Zhi-chao DUAN,Ji-lin LIU,Yu ZHOU,Bing HAN. Wheel⁃load diffusion effect on orthotropic steel⁃concrete composite bridge deck [J]. Journal of Jilin University(Engineering and Technology Edition), 2022, 52(8): 1808-1816.
[11] Li-feng WANG,Zi-wang XIAO,Sai-sai YU. New risk analysis method based on Bayesian network for hanging basker system of multi-tower cable-stayed bridge [J]. Journal of Jilin University(Engineering and Technology Edition), 2022, 52(4): 865-873.
[12] Yan-ling ZHANG,Can WANG,Xu ZHANG,Ang-yang WANG,Yun-sheng LI. Human⁃induced vibration analysis and pedestrian comfort evaluation for suspension footbridge with different hunger systems [J]. Journal of Jilin University(Engineering and Technology Edition), 2022, 52(11): 2644-2652.
[13] Chang-jun ZHONG,Zhong-bin WANG,Chen-yang LIU. Influencing factors and structural optimization of main cable saddle bearing capacity of suspension bridge [J]. Journal of Jilin University(Engineering and Technology Edition), 2021, 51(6): 2068-2078.
[14] Wei CHEN,Tian-bao WAN,Zhong-bin WANG,Xuan LI,Rui-li SHEN. Design and performance of internal air supply conduit for dehumidification in main cables of suspension bridges [J]. Journal of Jilin University(Engineering and Technology Edition), 2021, 51(5): 1749-1755.
[15] Shu-lun GUO,Tie-yi ZHONG,Zhi-gang YAN. Calculation method of buffeting response for stay cables of long⁃span cable⁃stayed bridge [J]. Journal of Jilin University(Engineering and Technology Edition), 2021, 51(5): 1756-1762.
Viewed
Full text


Abstract

Cited
  Shared   
  Discussed   
No Suggested Reading articles found!
Copyright © Journal of Jilin University(Engineering and Technology Edition), All Rights Reserved.
Tel: +86-431-85095297　Fax: +86-431-85094074　E-mail: xbgxb@jlu.edu.cn
Powered by Beijing Magtech Co. Ltd