Journal of Jilin University(Engineering and Technology Edition) ›› 2023, Vol. 53 ›› Issue (2): 515-522.doi: 10.13229/j.cnki.jdxbgxb20210678

Previous Articles     Next Articles

Numerical analysis method of vehicle⁃bridge coupling vibration of curved bridge

Zhi-qiang HAN1(),Gang XIE2(),Yong-jun ZHOU3,Shi-zhong LIU1,Min-jie JIN1   

  1. 1.School of Vehicle and Transportation Engineering,Taiyuan University of Science and Technology,Taiyuan 030024,China
    2.Shanxi Key Laboratory of Advanced Control and Equipment Intelligence,Taiyuan University of Science and Technology,Taiyuan 030024,China
    3.Engineering Research Center for Large Highway Structure Safety of the Ministry of Education,Chang'an University,Xi'an 710064,China
  • Received:2021-07-16 Online:2023-02-01 Published:2023-02-28
  • Contact: Gang XIE E-mail:hzqjl1987@163.com;xiegang@tyust.edu.cn

Abstract:

In order to study the variation of vehicle-bridge coupling vibration response of curved bridge, based on the principles of modal synthesis, a 15-degree-of-freedom five-axis trailer space model was established. Taking a 50+100+50 m three-span curved continuous beam bridge (R=600 m) as a calculation example to obtain bridge modal information. Based on the wheel-bridge displacement relationship, a vehicle-bridge coupling numerical analysis method for curved Bridges is proposed, and the influence of vehicle speed, road unevenness, radius of curvature and vehicle load on the dynamic response of curved bridges was discussed. The results show that road roughness and vehicle load are the main sensitive parameters that affect the dynamic response of the bridge. The impact of vehicle speed on curved bridges is complex, and it is difficult to find its regularity. The change in the radius of curvature has a greater impact on the torsion angle of the birdge. The influence of the vertical displacement of the main girder is relatively small. The relevant research results can provide theoretical guidance for dynamic safety assessment of such bridges.

Key words: bridge and tunnel engineering, vehicle-bridge coupled vibration, modal synthesis method, dynamic response, sensitivity factor

CLC Number: 

  • U442.5

Fig.1

15-standard vehicle load elevation layout"

Fig.2

Dynamic model of five-axis space trailer"

Fig.3

Geometric relationship between bridge and wheel"

Fig.4

Wheel-bridge mechanics relationship"

Fig.5

General layout of curved bridge (cm)"

Table 1

Statistical table of natural vibration characteristics of curved bridge"

模态阶数频率/Hz自振特性特点
11.2543面内扭转和侧向振动
22.4757平面内扭转
33.2123一阶侧向弯扭耦合振动
43.7030一阶反对称竖向弯曲振动
54.9211一阶对称竖向弯曲振动
65.8418二阶反对称竖向弯曲振动
77.5409反对称扭转振动
88.8701二阶对称竖向弯曲振动
99.2572一阶反对称竖向弯扭振动
109.5019对称扭转振动

Fig.6

Dynamic response curves of vertical displacement of the bridge at different speeds"

Fig.7

Influence of the maximum value of bridge dynamic response with the change of vehicle speed"

Fig.8

Influence of maximum value of bridge dynamic response with the change of road roughness"

Fig.9

Influence of the maximum value of bridge dynamic response with the change of different curvature radius"

Fig.10

Influence of maximum value of bridge dynamic response with the change of vehicle loads"

1 罗浩. 公路曲线连续梁桥车桥耦合振动响应研究[D]. 南昌: 华东交通大学土木建筑学院, 2020.
Luo Hao. Study on vehicle bridge coupling vibration response of curved continuous beam bridge[D]. Nanchang: School of Civil Engineering and Architecture, East China Jiao Tong University, 2020.
2 李岩, 吴志文, 蔡明, 等. 一种随机车流与桥梁耦合振动的分析方法[J]. 哈尔滨工业大学学报, 2018, 50(3): 46-52.
Li Yan, Wu Zhi-wen, Cai Ming, et al. An analysis method for coupled vibration random traffic flow and bridge[J]. Journal of Harbin Institute of Technology, 2018, 50(3): 46-52.
3 李国豪. 桥梁结构稳定与振动(修订版)[M]. 北京: 中国铁道出版社, 2003.
LI Guo-hao. Stability and Vibration of Bridge Structures(Revised)[M]. Beijing: China Railway Press, 2003.
4 项贻强, 胡蜂强, 朱卫国. V型墩预应力连续刚构桥结构动力分析和试验研究[J]. 中国市政工程, 2003, 101(1): 19-22.
Xiang Yi-qiang, Hu Feng-qiang, Zhu Wei-guo. Dynamic analysis and test research on structure of pre-stressed continuous rigid frame bridge with V-shaped piers[J]. China Municipal Engineering, 2003, 101(1): 19-22.
5 肖新标, 沈火明. 3种车桥耦合振动分析模型的比较研究[J]. 西南交通大学学报, 2004, 39(2): 172-175.
Xiao Xin-biao, Shen Huo-ming.Comparison of three models for vehicle-bridge coupled vibration analysis[J]. Journal of Southwest Jiaotong University, 2004, 39(2): 172-175.
6 晏路曼. 公路曲线梁桥在移动荷载作用下车桥耦合振动响应研究[D]. 南昌: 华东交通大学土木建筑学院, 2008.
Yan Lu-man. Response study of highway horizontally curved beam bridges subjected to moving load[D]. Nanchang: School of Civil Engineering and Architecture, East China Jiao Tong University, 2008.
7 陈炎, 黄小清, 马友发. 车桥系统的耦合振动[J]. 应用数学和力学, 2004, 25(4): 354-358.
Chen Yan, Huang Xiao-qing, Ma You-fa.Coupling vibration of vehicle bridge system[J]. Applied Mathematics and Mechanics, 2004, 25(4): 354-358.
8 刘星. 重型汽车-曲线桥相互作用及动力学分析[D].石家庄: 石家庄铁道大学机械工程学院, 2019.
Liu Xing. Heavy vehicle-curved bridge interaction and dynamics analysis[D]. Shijiazhuang: School of Mechanical Engineering, Shijiazhuang Tiedao University, 2019.
9 陈水生, 赵辉, 桂水荣, 等. 基于LS-DYNA公路桥车桥耦合的车辆模型研究[J]. 计算力学学报, 2019, 36(6): 747-756.
Chen Shui-sheng, Zhao Hui, Gui Shui-rong, et al. Vehicle model research on vehicle-bridge coupling of highway bridge based on LS-DYNA[J]. Chinese Journal of Computational Mechanics, 2019, 36(6): 747-756.
10 李凌云. 基于UM的曲线梁桥车-路-桥耦合动力学响应研究[D]. 石家庄: 石家庄铁道大学机械工程学院, 2020.
Li Ling-yun. Research on the dynamical response of the vehicle-road-rigid coupling of curved bridge based on UM[D]. Shijiazhuang: School of Mechanical Engineering, Shijiazhuang Tiedao University, 2020.
11 张迅. 曲线梁桥车桥耦合的动力学响应分析[D]. 郑州: 河南理工大学土木工程学院,2019.
Zhang Xun. Dynamic response analysis of coupling vibration of vehicle-curved bridges system[D]. Zhengzhou: School of Civil Engineering, Henan Polytechnic University, 2019.
12 彭卫兵, 沈佳栋, 唐翔, 等. 近期典型桥梁事故回顾、分析与启示[J]. 中国公路学报, 2019, 32(12): 132-144.
Peng Wei-bing, Shen Jia-dong, Tang Xiang, et al. Review, analysis, and insights on recent typical bridge accident[J]. China Journal of Highway and Transport, 2019, 32(12): 132-144.
13 . 公路桥涵设计通用规范 [S].
14 肖遥. 基于耦合方法的公路简支梁桥车桥耦合振动[D]. 长沙: 湖南大学土木工程学院, 2012.
Xiao Yao. Vehicle-bridge coupling vibration of simply supported bridge based on coupled method[D]. Changsha: College of Civil Engineering, Hunan University, 2012.
15 谭国金, 刘寒冰, 程永春, 等. 基于车-桥耦合振动的简支梁桥冲击效应[J]. 吉林大学学报: 工学版, 2011, 41(1): 62-67.
Tan Guo-jin, Liu Han-bing, Cheng Yong-chun,et al. Analysis of impact of vehicle to simply supported beam bridge based on vehicle-bridge coupled vibration[J]. Journal of Jilin University(Engineering and Technology Edition), 2011, 41(1): 62-67.
16 任宏斌. 阻尼连续可调油气悬架及其控制技术研究[D]. 北京: 北京理工大学机械与车辆学院, 2016.
Ren Hong-bin. Research on damping continuous adjustable hydro-pneumatic suspension and control technology[D]. Beijing: School of Mechanical Engineering, Beijing Institute of Technology,2016.
17 李万恒,申林,王少鹏,等. 基于多阶段分区域动力测试的桥梁结构损伤评估[J]. 吉林大学学报:工学版, 2019, 49(3): 773-780.
Li Wan-heng, Shen Lin, Wang Shao-peng, et al. Dynamic assessment of bridge construction based on muti-stage subregion mobile test[J]. Journal of Jilin University(Engineering and Technology Edition), 2019, 49(3): 773-780.
18 . 高层建筑混凝土结构技术规程 [S].
19 邓露,段林利,何维,等.中国公路车-桥耦合振动车辆模型研究[J].中国公路学报, 2018, 31(7): 92-100.
Deng Lu, Duan Lin-li, He Wei, et al. Study of vehicle model for vehicle-bridge coupling vibration of highway bridges in china[J]. China Journal of Highway and Transport, 2018, 31(7): 92-100.
[1] Yi MA,Jian ZHANG,Mei-xiang YOU,Rong GONG,Te-li HE,Wei FANG. Optimization of dynamic control strategy of fuel cell air supply system [J]. Journal of Jilin University(Engineering and Technology Edition), 2022, 52(9): 2175-2181.
[2] Guo-jun YANG,Qi-wei TIAN,Ming-hang LYU,Yong-feng DU,Guang-wu TANG,Zong-jian HAN,Yi-duo FU. Review of mechanic characteristics of tunnel⁃type anchorage of long⁃span suspension bridge [J]. Journal of Jilin University(Engineering and Technology Edition), 2022, 52(6): 1245-1263.
[3] Zhi-yuan YUANZHOU,Bo-hai JI,Jun-yuan XIA,Tong SUN. Pneumatic impact test on rib⁃to⁃diaphragm fatigue crack of steel box girder [J]. Journal of Jilin University(Engineering and Technology Edition), 2022, 52(12): 2883-2891.
[4] Ya-feng GONG,Jia-xiang SONG,Guo-jin TAN,Hai-peng BI,Yang LIU,Cheng-xin SHAN. Multi⁃vehicle bridge weigh⁃in⁃motion algorithm [J]. Journal of Jilin University(Engineering and Technology Edition), 2021, 51(2): 583-596.
[5] Chun-liang LI,Zhi-hao LIN,Luo-luo ZHAO. Effect of damaged hinge joint and damaged slab on transverse force of hollow slab bridge [J]. Journal of Jilin University(Engineering and Technology Edition), 2021, 51(2): 611-619.
[6] ZHANG Yun-long, LIU Zhan-ying, WU Chun-li, WANG Jing. Static and dynamic responses of steel-concrete composite beams [J]. 吉林大学学报(工学版), 2017, 47(3): 789-795.
[7] LI Jing, YANG Xiong, MIAO Hui, SHI Zheng-tang. Dynamic characteristics of electronic hydraulic brake system based on bench test [J]. 吉林大学学报(工学版), 2016, 46(1): 15-20.
[8] HOU Zhong-ming, WANG Yuan-qing, XIA He, ZHANG Tian-shen. Simply-supported steel-concrete composite beams under moving load [J]. 吉林大学学报(工学版), 2015, 45(5): 1420-1427.
[9] CHENG Qiang, ZHANG Zhen-dong, GUO Hui, XIE Nai-liu. Electro-magnetic-thermal coupling of GDI injector [J]. 吉林大学学报(工学版), 2015, 45(3): 806-813.
[10] YU Zhen-huan,ZHANG Na,LIU Shun-an. Simulation analysis of dynamic nonlinear characteristics of vehicle shock absorber based on fluid-structure interaction [J]. 吉林大学学报(工学版), 2015, 45(1): 16-21.
[11] CHEN Jin-shi, YUAN Wan-rong, YUAN Hua-shan, LIU Xin-hui, WANG Zhan. Self-level system of skid-steer loader based on AMESim [J]. , 2012, (06): 1390-1395.
[12] FENG Su-li, MENG Guang-wei, SI Jun-de, TONG Feng-hua, LIN Sen. Dynamic design method of engineering vehicle rollover protective structure [J]. , 2012, 42(04): 828-833.
[13] CAI Zhong-chang, LIU Hui, XIANG Chang-le, ZHANG Xi-qing, WANG Ming-zheng. Characteristics of forced torsional vibration and dynamic load for vehicle multistage planetary transmission [J]. 吉林大学学报(工学版), 2012, 42(01): 19-26.
[14] TAN Guo-jin,LIU Han-bing,CHENG Yong-chun,WANG Long-lin,LIU Bin. Analysis of impact of vehicle to simply supported beam bridge based on vehicle-bridge coupled vibration [J]. 吉林大学学报(工学版), 2011, 41(01): 62-0067.
[15] GUO Xue-dong,WEI Jian,ZHANG Miao. Comparison of different circulative algorithms in solving structure dynamics response by multi-grid method [J]. 吉林大学学报(工学版), 2009, 39(06): 1527-1531.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
[1] LI Shoutao, LI Yuanchun. Autonomous Mobile Robot Control Algorithm Based on Hierarchical Fuzzy Behaviors in Unknown Environments[J]. 吉林大学学报(工学版), 2005, 35(04): 391 -397 .
[2] Li Hong-ying; Shi Wei-guang;Gan Shu-cai. Electromagnetic properties and microwave absorbing property
of Z type hexaferrite Ba3-xLaxCo2Fe24O41
[J]. 吉林大学学报(工学版), 2006, 36(06): 856 -0860 .
[3] Li Yue-ying,Liu Yong-bing,Chen Hua . Surface hardening and tribological properties of a cam materials[J]. 吉林大学学报(工学版), 2007, 37(05): 1064 -1068 .
[4] Zhang He-sheng, Zhang Yi, Wen Hui-min, Hu Dong-cheng . Estimation approaches of average link travel time using GPS data[J]. 吉林大学学报(工学版), 2007, 37(03): 533 -0537 .
[5] Yang Shu-kai, Song Chuan-xue, An Xiao-juan, Cai Zhang-lin . Analyzing effects of suspension bushing elasticity
on vehicle yaw response character with virtual prototype method
[J]. 吉林大学学报(工学版), 2007, 37(05): 994 -0999 .
[6] . [J]. 吉林大学学报(工学版), 2007, 37(06): 1284 -1287 .
[7] Che Xiang-jiu,Liu Da-you,Wang Zheng-xuan . Construction of joining surface with G1 continuity for two NURBS surfaces[J]. 吉林大学学报(工学版), 2007, 37(04): 838 -841 .
[8] Liu Han-bing, Jiao Yu-ling, Liang Chun-yu,Qin Wei-jun . Effect of shape function on computing precision in meshless methods[J]. 吉林大学学报(工学版), 2007, 37(03): 715 -0720 .
[9] Qu Zhao-wei,Chen Hong-yan,Li Zhi-hui,Hu Hong-yu,Wei Wei . 2D view reconstruction method based on single calibration pattern
[J]. 吉林大学学报(工学版), 2007, 37(05): 1159 -1163 .
[10] Nie Jian-jun,Du Fa-rong,Gao Feng . Finite time thermodynamics of real combined power cycle operating
between internal combustion engine and Stirling engine with heat leak
[J]. 吉林大学学报(工学版), 2007, 37(03): 518 -0523 .