Journal of Jilin University(Engineering and Technology Edition) ›› 2023, Vol. 53 ›› Issue (6): 1702-1710.doi: 10.13229/j.cnki.jdxbgxb.20230263

Previous Articles    

Natural frequency analysis of beam bridge structure under temperature and vehicle action

Ye YUAN()   

  1. China Railway Construction Bridge Engineering Bureau Group Co. ，Ltd. ，Tianjin 300300，China
  • Received:2023-02-22 Online:2023-06-01 Published:2023-07-23

RICH HTML

 1   

PDF (PC)

108

Abstract:

Aiming at the problem that the natural frequency measured in the process of damage identification and state assessment of bridge structure is significantly affected by temperature and vehicle action， resulting in errors in frequency test results， the frequency coefficient of variation was introduced， the bridge frequency theory formula was simplified based on the temperature theory analysis model and the vehicle parameter law， and the key influencing factors were extracted to form an empirical formula for the bridge frequency coefficient of variation that excludes temperature and vehicle action. The results show that the bridge frequency calculation results obtained by the elimination method in this paper have little difference with the theoretical calculation results， which can well characterize the frequency of pure beam bridge and improve the accuracy of assessing the safety of bridge by using frequency variation.

Key words: bridge engineering, temperature, vehicle effect, factor elimination, bridge frequency

CLC Number: 

  • U446

Fig.1

Single span rigid frame bridge"

Fig.2

One-half vehicle model"

Table 1

Vehicle parameter table"

含义取值
前轮（后轮）轮胎刚度ka1（ka2）/（N·m-1）2.41×107
前轮（后轮）质量mt1（mt2）/kg1500
前（后）悬架刚度kt1（kt2）/（N·m-1）2.5×107
车身质量中心距前端（后端）距离l1（l2 ）/m2
车身转动惯量Iv/（kg·m2）1.48×105
车身质量mv/kg1.78×104

Table 2

Orthogonal test table"

水平因 素
1-车辆位置2-跨径/m3-车桥频率比4-车体质量/kg
10.5910.00.601500
20.7617.50.806125
30.8925.01.0210 750
40.9732.51.2015 375
51.0040.01.4020 000

Fig.3

Influence of factors on simple-supported beam bridge frequency"

Table 3

Coefficients calculated results"

系数拟合值系数拟合值
p1-12.65p910.45
p219.30p10-19.32
p3-3.96p1130.77
p42.14p12-3.13
p50.05p136.60
p60.24p14-15.91
p70.000177p1511.98
p81.82p16-2.53

Fig.4

Empirical formula verifies the results"

Table 4

Parameters level of orthogonal test"

水平因素
车桥频率比车体质量/kgL1/L2跨径/m

车辆

位置

10.61 5001100.2
20.86 1251.217.50.275
31.0210 7501.4250.35
41.215 3751.632.50.425
51.420 0001.8400.5

Fig.5

Influence of factors on rigid bridge first-order"

Table 5

Coefficients fitting results"

系数拟合值系数拟合值
q114.76q110.36
q2-10.65q12-1.91
q30.75q13-12.20
q4-1186q14155.31
q50.00q15-232.10
q6-1832q16-0.29
q7-0.45q1727.21
q8-0.08q18-67.19
q9-0.15q1940.87
q100.19q205.22

Fig.6

Comparison of theoretical and predicted results"

Fig.7

Comparison of bridge frequencies before and after eliminating the effect of temperature"

Fig.8

Bridge frequencies of eliminating the effect of vehicles change with frequency ratio of vehicle and bridge"

Fig.9

Variation of bridge frequency with vehicle mass under effect of vehicles"

Fig.10

Bridge frequencies of effects of temperature and vehicles change with temperature"

1 Aktan A E, Catbas F N, Grimmelsman K A, et al. Issues in infrastructure health monitoring for management[J]. Journal of Engineering Mechanics, 2000, 126(7): 711-724.
2 李惠, 周文松, 欧进萍, 等. 大型桥梁结构智能健康监测系统集成技术研究[J]. 土木工程学报,2006,39(2): 46-52.
Li Hui, Zhou Wen-song, Jin-ping Ou, et al. A study on system integration technique of intelligent monitoring system for soundness of long-span bridges[J]. China Civil Engineering Journal, 2006, 39(2): 46-52.
3 宗周红, 张坤, 廖聿宸, 等. 考虑运营环境不确定性的斜拉桥模态频率识别[J]. 中国公路学报, 2019, 32(11): 40-50.
Zong Zhou-hong, Zhang Kun, Liao Yu-chen, et al. Modal frequency identification of cable-stayed bridges considering uncertainties of operational environmental factors[J]. China Journal of Highway and Transport, 2019, 32(11): 40-50.
4 Behmanesh I, Moaveni B. Probabilistic identification of simulated damage on the dowling hall footbridge through bayesian finite element model updating[J]. Structural Control and Health Monitoring, 2015, 22(3): 463-483.
5 Kim C Y, Jung D S, Kim N S, et al. Effect of vehicle weight on natural frequencies of bridges measured from traffic-induced vibration[J]. Earthquake Engineering and Engineering Vibration, 2003, 2(1): 109-115.
6 夏樟华, 林友勤, 张景杭, 等. 环境温度对连续箱梁刚构桥相对小波熵指标的影响研究[J]. 振动与冲击,2017,36(1): 207-214.
Xia Zhang-hua, Lin You-qin, Zhang Jing-hang, et al. Study on the influence of ambient temperature on the relative wavelet entropy index of continuous box girder rigid frame bridges[J]. Vibration and impact, 2017, 36(1): 207-214.
7 邓杨, 李爱群, 刘扬. 桥梁模态频率异常变化的概率检测方法及例证[J]. 振动工程学报, 2015, 28(6): 887-895.
Deng Yang, Li Ai-qun, Liu Yang. Probabilistic detection method and its illustration for abnormal change of bridge's modal frequencies[J]. Journal of Vibration Engineering, 2015, 28(6): 887-895.
8 Xu Z D, Wu Z. Simulation of the effect of temperature variation on damage detection in a long-span cable-stayed bridge[J]. Structural Health Monitoring, 2007, 6(3): 177-189.
9 Xia Y, Hao H, Zanardo G, et al. Long term vibration monitoring of an RC slab: temperature and humidity effect[J]. Engineering Structures, 2006, 28(3): 441-452.
10 Rücker W F, Said S, Rohrmann R G, et al. Load and condition monitoring of a highway bridge in a continuous manner[C]∥Proceedings of the IABSE Symposium on Extending the Lifespan of Structures, San Francisco, CA, USA, 1995: No.108128.
11 Roeck G D, Wahab M A. Effect of temperature on dynamic system parameters of a highway bridge[J]. Structural Engineering International, 1997, 7(4): 266-270.
12 谭国金, 宫亚峰, 程永春, 等. 基于有载频率的简支梁桥自振频率计算方法[J]. 振动工程学报, 2011, 24(1): 31-35.
Tan Guo-jin, Gong Ya-feng, Cheng Yong-chun, et al. Calculation for natural frequency of simply supported beam bridges based on loaded frequency[J]. Journal of Vibration Engineering, 2011, 24(1): 31-35.
13 贺文宇, 丁绪聪, 任伟新. 环境激励下移动车辆对桥梁模态参数识别的影响研究[J]. 振动与冲击, 2021, 40(3): 48-53.
He Wen-yu, Ding Xu-cong, Ren Wei-xin. Effects of moving vehicle on bridge modal parametric identification under ambient excitation[J]. Vibration and shock, 2021, 40(3): 48-53.
14 de Roeck G, Maeck J, Michielsen T, et al. Traffic-induced shifts in modal properties of bridges[C]∥Proceedings of SPIE-The International Society for Optical Engineering, 2002, California, USA, 4753: 630-636.
15 程永春, 谭国金, 刘寒冰, 等. 基于特征解统计特性的桥梁损伤识别[J]. 吉林大学学报: 工学版, 2008,37(4): 812-816.
Cheng Yong-chun, Tan Guo-jin, Liu Han-bing, et al. Damage identification of bridge structure based on statistical properties of eigen-solution[J]. Journal of Jilin University (Engineering and Technology Edition), 2008, 37(4): 812-816.
16 王华. 温度和车辆耦合作用下梁式桥动力特性分析[D]. 长春:吉林大学交通学院, 2018.
Wang Hua. Dynamic characteristics analysis of beam-like bridges under the coupling effect of temperature and vehicles[D]. Changchun: College of Transportation, Jilin University, 2018.
17 Liu H B, Wang X Q, Jiao Y B. Effect of temperature variation on modal frequency of reinforced concrete slab and beam in cold regions[J]. Shock and Vibration, 2016(6): 1-17.
18 王文盛. 车辆作用下具有裂缝的中小跨径梁式桥的自振特性分析[D]. 长春: 吉林大学交通学院, 2017.
Wang Wen-sheng. Free vibration characteristics analysis of small and medium span cracked beam bridges considering bridge-vehicle interaction[D]. Changchun: College of Transportation, Jilin University, 2017.
[1] 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.
[2] 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.
[3] Jun WANG,Jia-wu LI,Feng WANG,Jiu-peng ZHANG,Xiao-ming HUANG. Wind speed distribution in simplified U⁃shaped valley and its effect on buffeting response of long⁃span suspension bridge [J]. Journal of Jilin University(Engineering and Technology Edition), 2023, 53(6): 1658-1668.
[4] Feng WANG,Shuang-rui LIU,Jia-ying WANG,Jia-ling SONG,Jun WANG,Jiu-peng ZHANG,Xiao-ming HUANG. Size and shape effects of wind drag coefficients for porous structures [J]. Journal of Jilin University(Engineering and Technology Edition), 2023, 53(6): 1677-1685.
[5] 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.
[6] 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.
[7] 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.
[8] 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.
[9] 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.
[10] 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.
[11] Zhen-jun XU,Rui-feng ZHANG,Jia-xiang CHEN,Xiao-hui ZHANG,Xiao-guang MI,Jie CHEN,Lin CHEN. Influence for backheating on low temperature high mass experimental system [J]. Journal of Jilin University(Engineering and Technology Edition), 2023, 53(4): 1133-1138.
[12] Deng-feng WANG,Hong-li CHEN,Jing-xin NA,Xin CHEN. Failure comparison of single and double lap joints after high temperature aging [J]. Journal of Jilin University(Engineering and Technology Edition), 2023, 53(2): 346-354.
[13] 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.
[14] Nie-yang-zi LIU,Xin RONG,Hong-hai LIU,Qing-hua BIAN,Hai LAN. Mixing power test and viscosity model of asphalt mixture [J]. Journal of Jilin University(Engineering and Technology Edition), 2023, 53(1): 220-225.
[15] Xiao-hong LU,Jin-hui QIAO,Yu ZHOU,Chong MA,Guo-chuan SUI,Zhuo SUN. Research progress of temperature field in friction stir welding [J]. Journal of Jilin University(Engineering and Technology Edition), 2023, 53(1): 1-17.
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