Girder end longitudinal displacement mechanism of long-span suspension bridge under moving vehicles
HUANG Guoping1,2, HU Jianhua1,3, HUA Xugang1, WANG Lianhua1, CUI Jianfeng4
1. Key Laboratory for Wind and Bridge Engineering of Hunan Province, Hunan University, Changsha 410082, China;
2. College of Civil Engineering, Hunan City University, Yiyang 413000, China;
3. Hunan Communication & Water Conservancy Group Ltd., Changsha 410004, China;
4. Hunan Provincial Communications Planning, Survey & Design Institute Co., Ltd., Changsha 410011, China
Abstract：To study the mechanism of longitudinal displacement at girder ends of large-span suspension bridge under moving vehicle loads, deformation characteristics of suspension bridge under non-symmetric vertical loads were analyzed based on the deflection theory. The longitudinal dynamic equation and resonance velocity of suspension bridge girder end under moving loads were derived, and the longitudinal displacement response law of suspension bridge girder end under moving loads was studied adopting equivalent longitudinal load. Taking a certain long-span suspension bridge as an example, the law and influence of its girder end longitudinal displacement under moving vertical load were studied numerically. The results showed that under moving loads, the main girder end has longitudinal forced vibration mainly with the equivalent longitudinal disturbance frequency; when load moving speed is smaller, the main girder end mainly reveals the pseudo-static effect, with increase in load moving speed, its dynamic effect is enhanced; structural damping, damper and bearing friction can suppress girder end longitudinal displacement, the influence of bearing friction on girder end longitudinal displacement can’t be ignored; setting central buckle can effectively reduce longitudinal cumulative displacement of girder end under moving vehicles, but girder end longitudinal displacement is not very sensitive to the number of central buckles and its own stiffness. Finally, the longitudinal displacement response frequency spectrum for the measured girder end of Aizhai bridge was analyzed. It was shown that the spectral analysis results basically agree well with the numerical analysis ones.
黄国平，胡建华，华旭刚，王连华,崔剑峰. 移动车辆作用下大跨度悬索桥梁端纵向位移机理[J]. 振动与冲击, 2021, 40(19): 107-115.
HUANG Guoping, HU Jianhua, HUA Xugang, WANG Lianhua, CUI Jianfeng. Girder end longitudinal displacement mechanism of long-span suspension bridge under moving vehicles. JOURNAL OF VIBRATION AND SHOCK, 2021, 40(19): 107-115.
［1］张宇峰, 陈雄飞, 张立涛, 等. 大跨悬索桥伸缩缝状态分析与处理措施［J］.桥梁建设，2013,43（5）: 49-54.
ZHANG Yufeng, CHEN Xiongfei, ZHANG Litao, et al. Condition analysis and handling measures for expansion joints long span suspension bridge［J］. Bridge Construction, 2013,43(5):49-54.
［2］GUO T, HUANG L Y, LIU J, et al. Damage mechanism of control springs in modular expansion joints of long-span bridges［J］. Journal of Bridge Engineering, 2018, 23(7): 04018038.
［3］GUO T, LIU J, HUANG L Y. Investigation and control of excessive cumulative girder movements of long-span steel suspension bridges［J］. Engineering Structures, 2016, 125:217-226.
［4］LI G, HAN W, CHEN X, et al. Wear evaluation on slide bearings in expansion joints based on cumulative displacement for long-span suspension bridge under monitored traffic flow［J］. Journal of Performance of Constructed Facilities, 2020, 34(1): 04019106.
［5］SUN Z, NING S W, SHEN Y F. Failure investigation and replacement implementation of short suspenders in a suspension bridge［J］. Journal of Bridge Engineering, 2017, 22(8): 05017007.
［6］张劲泉, 曲兆乐, 宋建永，等. 多塔悬索桥的两个主要控制指标及其计算工况［J］. 公路交通科技, 2011, 28(8): 95-99.
ZHANG Jinquan，QU Zhaole，SONG Jianyong, et al. Two principal control indexes of multi-pylon suspension bridge and related calculation cases［J］. Journal of Highway and Transportation Research and Development, 2011, 28(8):95-99.
［7］MURPHY T P, COLLINS K R. Retrofitting suspension bridges using distributed dampers［J］. Journal of Structural Engineering, 2004, 130(10):1466-1474.
［8］YANG M G, CHEN Z Q, HUA X G. An experimental study on using MR damper to mitigate longitudinal seismic response of a suspension bridge［J］. Soil Dynamics and Earthquake Engineering, 2011, 31(8): 1171-1181.
［9］ALMUTAIRI N B, HASSAN M F, ABDEL-ROHMAN M, et al. Control of suspension bridge nonlinear vibrations due to moving loads［J］. Journal of Engineering Mechanics, 2006, 132(6): 659-670.
［10］ZRIBI M, ALMUTAIRI N B, ABDEL-ROHMAN M. Control of vibrations due to moving loads on suspension bridges［J］. Nonlinear Analysis Modelling & Control, 2006, 11(3):293-318.
［11］王江浩. 大跨度铁路悬索桥在列车制动过程中的结构行为分析［D］. 成都:西南交通大学, 2016.
［12］沈锐利, 王江浩. 铁路悬索桥在制动力作用下的动力响应分析［J］. 桥梁建设, 2016, 46(6):24-28.
SHEN Ruili, WANG Jianghao. Analysis of dynamic responses of railway suspension bridge under action of train braking force［J］. Bridge Construction, 2016, 46(6):24-28.
［13］陈榕峰, 宋一凡, 贺拴海,等. 匀加速行驶车辆与桥梁耦合振动的分析方法［J］. 长安大学学报(自然科学版), 2011,31(3):51-54.
CHEN Rongfeng, SONG Yifan, HE Shuanhai, et al. Analysis method of coupling vibration of bridge and moving vehicle with uniform acceleration［J］. Journal of Chang’an University(Natural Science Edition), 2011, 31(3):51-54.
［14］王连华,孙璋鸿,崔剑锋,等. 车辆激励下中央扣对悬索桥梁端位移的影响［J］. 湖南大学学报(自然科学版), 2019, 46(3): 18-24.
WANG Lianhua,SUN Zhanghong,CUI Jianfeng, et al.Effects of central buckle on end displacement of suspension bridges under vehicle excitation［J］. Journal of Hunan University(Natural Science), 2019, 46(3): 18-24.
［15］韩大章, 郭彤, 黄灵宇, 等. 随机车辆荷载下大跨钢桥伸缩缝纵向位移响应及病害控制研究［J］. 振动与冲击, 2019, 38(24): 172-178.
HAN Dazhang, GUO Tong, HUANG Lingyu, et al. A study on longitudinal displacements and damage control of expansion joints of long-span steel bridges under stochastic traffic loads［J］. Journal of Vibration and Shock, 2019, 38(24): 172-178.
［16］柴生波, 肖汝诚, 孙斌. 活载下悬索桥主缆变形特性［J］. 同济大学学报(自然科学版), 2011, 40(10):1452-1457.
CHAI Shengbo,XIAO Rucheng,SUN Bin.Deformation characteristics of main cable in suspension bridge caused by live load china［J］.Journal of Tongji University(Natural Science), 2011, 40(10):1452-1457.
［17］LIU Z, LIU H J. New arithmetic for cable deflection and gravity stiffness of suspension bridges［J］. Engineering Mechanics, 2009, 26(6): 127-132.
［18］项海帆. 高等桥梁结构理论［M］. 北京：人民交通出版社, 2013.
［19］吕磊, 吉伯海, 马麟, 等. 基于实测车流的大跨度悬索桥振动响应研究［J］. 土木工程学报, 2011(增刊1): 102-108.
L Lei, JI Bohai,MA Lin, et al.Study on the vibration response of long span suspension bridge based on the measured traffic flow［J］. China Civil Engineering Journal, 2011(Suppl. 1): 102-108.
［20］梁鹏, 吴向男, 李万恒，等. 从影响线角度研究3塔悬索桥力学行为［J］. 公路交通科技, 2011, 28(4):53-59.
LIANG Peng,WU Xiangnan,LI Wanheng， et al. Study on mechanical behaviour of three-tower suspension bridge based on influence line ［J］. Journal of Highway and Transportation Research and Development, 2011, 28(4):53-59.
［21］王连华, 黄国平. 矮寨大桥梁端位移监测报告［R］. 长沙：湖南大学, 2018.
