基于多点激励的刚构-连续组合梁桥行波效应分析
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摘要
为了探讨行波效应对刚构-连续组合梁桥结构不同部位响应极值的影响规律,以某48m+5×80m+48m刚构-连续组合梁桥为背景,建立刚性地基和弹性地基2种计算模型,采用大质量法(LMM)求解了一系列相位差条件下结构的非线性地震响应。分析结果表明:对于主跨大于或等于80m的刚构-连续组合梁桥,在抗震设计中必须考虑行波效应的影响,且应重点关注刚构墩的地震响应;在进行行波效应分析时必须根据基岩类型选择恰当的相位差输入,以此来获得结构真实的地震响应;在纵向行波作用下,结构的内力响应峰值和位移响应峰值均随相位差呈周期性变化,其变化周期与结构的特征周期相一致。
To study the law of influence of the traveling wave effect on the response limiting values of different parts of the hybrid bridge structure of rigid-frame and continuous girder,a bridge of the same structural type with span arrangement 48 m+5×80 m+48 m was cited as an example.Two kinds of the calculation models for the rigid ground base and elastic ground base were set up and the nonlinear seismic responses of the structure under a series of phase difference conditions were solved and analyzed,using the large mass method.The results of the analysis show that for the hybrid bridge structure of rigid-frame and continuous girder with the main span being greater or equal to 80 m,the influence of the traveling wave effect must be considered in the seismic design and the particular concern should be given to the seismic responses of the rigid piers.In the analysis of the traveling wave effect,the appropriate phase difference input should be selected according to the types of the base rocks so that the true seismic responses of the structure can be acquired.Under the action of the longitudinal traveling waves,the peak values of the internal force and displacement responses of the structure present the periodic changes along with the changes of the phase differences and the periods of the changes are identical with the characteristic periods of the structure.
To study the law of influence of the traveling wave effect on the response limiting values of different parts of the hybrid bridge structure of rigid-frame and continuous girder,a bridge of the same structural type with span arrangement 48 m+5×80 m+48 m was cited as an example.Two kinds of the calculation models for the rigid ground base and elastic ground base were set up and the nonlinear seismic responses of the structure under a series of phase difference conditions were solved and analyzed,using the large mass method.The results of the analysis show that for the hybrid bridge structure of rigid-frame and continuous girder with the main span being greater or equal to 80 m,the influence of the traveling wave effect must be considered in the seismic design and the particular concern should be given to the seismic responses of the rigid piers.In the analysis of the traveling wave effect,the appropriate phase difference input should be selected according to the types of the base rocks so that the true seismic responses of the structure can be acquired.Under the action of the longitudinal traveling waves,the peak values of the internal force and displacement responses of the structure present the periodic changes along with the changes of the phase differences and the periods of the changes are identical with the characteristic periods of the structure.
引文
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[3]潘强,方诗圣,程晓东.高墩大跨连续刚构桥地震反应的行波效应研究[J].湖南工程学院学报(自然科学版),2010,(2):82-85.(PAN Qiang,FANG Shi-sheng,CHENG Xiao-dong.The Study of Traveling Wave Effect of Seismic Re-sponse of High-Pier and Long-Span Continuous Rigid-Frame Bridge[J].Journal of Hunan Institute of Engi-neering(Natural Science Edition),2010,(2):82-85.in Chinese)
[4]Yan X,Lee G C.Traveling Wave Effect on the Seis-mic Response of a Steel Arch Bridge Subjected to NearFault Ground Motions[J].Earthquake Engineeringand Engineering Vibration,2007,6(3):245-257.
[5]Liu A,Yu Q,Zhang J.Seismic Response of LongSpan Continuous Rigid-Frame Arch Bridge[J].Jour-nal of Shenzhen University Science and Engineering,2007,24(3):12-17.
[6]王波,张海龙,武修雄,等.基于大质量法的高墩大跨连续刚构桥地震时程反应分析[J].桥梁建设,2006,(5):17-20.(WANG Bo,ZHANG Hai-long,WU Xiu-xiong,etal.Analysis of Seismic Time-History Response ofHigh-Rise Pier and Long Span Continuous Rigid-Frame Bridge Based on Great Mass Method[J].BridgeConstruction,2006,(5):17-20.in Chinese)
[7]Clough R W,Penzien J.Dynamics of Structures(Sec-ond Edition)[M].Singapore:McGraw-Hill,1993.
[8]周国良,李小军,刘必灯,等.大刚度法在结构动力分析中的应用、误差分析与改进[J].工程力学,2011,28(8):30-36,44.(ZHOU Guo-Liang,LI Xiao-Jun,LIU Bi-deng,et al.Application,Error Analysis and Improvement ofLarge Mass Method for Structural Dynamic Analysis[J].Engineering Mechanics,2011,28(8):30-36,44.in Chinese)
[9]李吉涛,杨庆山.地震波基线漂移的处理方法[J].北京交通大学学报(自然科学版),2010,(1):95-99.(LI Ji-tao,YANG Qing-shan.A Handling Method forBaseline Drift of Seismic Wave[J].Journal of BeijingJiaotong University,2010,(1):95-99.in Chinese)
[10]于海英,江汶乡,解全才,等.近场数字强震仪记录误差分析与零线校正方法[J].地震工程与工程振动,2009,(6):1-12.(YU Hai-ying,JIANG Wen-xiang,XIE Quan-cai,etal.Error Analysis and Baseline Correction Methodfor Digital Strong-Motion Records in Near-Field[J].Journal of Earthquake Engineering and EngineeringVibration,2009,(6):1-12.in Chinese)
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