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

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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

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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
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