三塔悬索桥行波效应研究
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摘要
由于大跨度桥梁的地震响应对视波速具有很强的依赖性,使得目前行波效应对大跨桥梁的影响尚无统一结论。在总结时域行波效应分析中存在问题的基础上,以目前跨度最大的泰州长江大桥为例,研究三塔悬索桥这一特殊桥型的地震行波效应。基于Abaqus建立动力分析模型,获取静力初始平衡态的动力特性,给出边塔柱与中塔柱纵桥向弯矩和剪力的行波效应包络曲线、塔梁相对位移以及塔柱底部反力等响应量随视波速变化曲线,分析上述物理量在地震行波作用下的变化规律。研究表明,行波效应对三塔悬索桥地震响应的影响具有一定的波动性,行波效应的影响与结构特性以及地震波特性密切相关,因而除建立准确的有限元模型外,选取适当的地震波以及合适的视波速区间尤为重要。
Since the seismic responses of long-span bridges are significantly dependent on the apparent wave velocities,there have not yet been definite conclusions about the influence of traveling waves on long-span bridges.Issues about the analysis of traveling wave effects are discussed,and the Taizhou bridge,the longest triple-tower suspension bridge,is taken as an example to analyze the influence of traveling wave on triple-tower suspension bridges.The dynamic characteristics of the bridge are obtained from a finite element model using Abaqus,after the initial equilibrium is established.The envelope curves of the moment and shear force distributions along the tower column in the longitudinal direction for the side tower and the middle tower,the relative displacement between the girders and towers,and the reaction force at the bottom of the towers in the longitudinal direction,due to different apparent wave velocities,are calculated.Results show that the influence of traveling wave on the response of the triple-tower suspension bridge may fluctuate,and that the influence of traveling wave on the long-span bridges is dependent on the characteristics of the bridge structure and the seismic wave.Choosing appropriate seismic waves and ranges of apparent wave velocity for the analysis are essential,in addition to establishing an accurate finite element model.
Since the seismic responses of long-span bridges are significantly dependent on the apparent wave velocities,there have not yet been definite conclusions about the influence of traveling waves on long-span bridges.Issues about the analysis of traveling wave effects are discussed,and the Taizhou bridge,the longest triple-tower suspension bridge,is taken as an example to analyze the influence of traveling wave on triple-tower suspension bridges.The dynamic characteristics of the bridge are obtained from a finite element model using Abaqus,after the initial equilibrium is established.The envelope curves of the moment and shear force distributions along the tower column in the longitudinal direction for the side tower and the middle tower,the relative displacement between the girders and towers,and the reaction force at the bottom of the towers in the longitudinal direction,due to different apparent wave velocities,are calculated.Results show that the influence of traveling wave on the response of the triple-tower suspension bridge may fluctuate,and that the influence of traveling wave on the long-span bridges is dependent on the characteristics of the bridge structure and the seismic wave.Choosing appropriate seismic waves and ranges of apparent wave velocity for the analysis are essential,in addition to establishing an accurate finite element model.
引文
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[2]Dumanogluid A A,Soyluk K.A stochastic analysis of longspan structures subjected to spatially varying groundmotions including the site-response effect[J].EngineeringStructures,2003,25(10):1301-1310
[3]刘洪兵,朱②.大跨度斜拉桥多支撑激励地震响应分析[J].土木工程学报,2001,34(6):38-44(LiuHongbing,Zhu Xi.Seismic response analysis of long-spancable-stayed bridges under multi-sport excitations[J].China Civil Engineering Journal,2001,34(6):38-44(inChinese))
[4]何庆祥,沈祖炎.结构地震行波效应分析综述[J].地震工程与工程振动,2009,29(1):50-57(HeQingxiang,Shen Zuyan.Review of structural seismicanalysis of traveling wave effects[J].Journal ofEarthquake Engineering and Engineering Vibration,2009,29(1):50-57(in Chinese))
[5]潘旦光,楼梦麟,范立础.多点输入下大跨度结构地震反应分析研究现状[J].同济大学学报,2001,29(10):1213-1219(Pan Danguang,Lou Menglin,Fan Lichu.Status of seismic response analysis of long-span structuresunder multiple support excitations[J].Journal of TongjiUniversity,2001,29(10):1213-1219(in Chinese))
[6]范立础,王君杰,陈玮.非一致地震激励下大跨度斜拉桥的响应特征[J].计算力学学报,2001,18(3):358-363(Fan Lichu,Wang Junjie,Chen Wei.Responsecharacteristics of long-span cable-stayed bridges under non-uniform seismic action[J].Chinese Journal of ComputationalMechanics,2001,18(3):358-363(in Chinese))
[7]杨孟刚,陈政清,胡建华.自锚式悬索桥磁流变阻尼器减震控制研究[J].土木工程学报,2006,39(11):84-89(Yang Menggang,Chen Zhengqing,Hu Jianhua.Studyon the seismic response control of self-anchored suspensionbridges with MR dampers[J].China Civil EngineeringJournal,2006,39(11):84-89(in Chinese))
[8]宋旭明,戴公连,曾庆元.自锚式悬索桥地震响应及减震控制分析[J].中南大学学报:自然科学版,2009,40(4):1079-1085(Song Xuming,Dai Gonglian,ZengQingyuan.Seismic response analysis and control of self-anchored suspension bridge[J].Journal of Central SouthUniversity:Natural Science Edition,2009,40(4):1079-1085(in Chinese))
[9]Wang J,Carr A J,Cooke N,et al.The response of a344m long bridge to non-uniform earthquake groundmotions[J].Engineering Structures,2009,31(11):2554-2567
[10]Atesa S,Bayraktarb A,Dumanogluc A A.The effect ofspatially varying earthquake ground motions on thestochastic response of bridges isolated with frictionpendulum systems[J].Soil Dynamics and EarthquakeEngineering,2006,26(1):31-44
[11]项海帆.斜拉桥在行波作用下的地震反应分析[J].同济大学学报,1983,11(2):1-9(Xiang Haifan.Earthquake response analysis of cable-stayed bridges underthe action of traveling waves[J].Journal of TongjiUniversity,1983,11(2):1-9(in Chinese))
[12]邓育林,彭天波,李建中,等.大跨度三塔悬索桥动力特性及抗震性能研究[J].振动与冲击,2008,27(9):105-110(Deng Yulin,Peng Tianbo,Li Jianzhong,et al.Study on dynamic characteristic and aseismic performanceof a long-span triple-tower suspension bridge[J].Journalof Vibration and Shock,2008,27(9):105-110(inChinese))
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