在用简支梁桥横向地震动研究
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摘要
为了研究在用简支梁桥的抗震性能,将弹性基础上桥墩的总变形分为三部分,即桥墩自身的弹性变形、基础转动和平动所产生的变形;以该变形曲线作为桥墩的振型函数,利用Lagrange方程推导了任意跨简支梁桥的横桥向地震振动方程,得到了相应的基频和振型参与系数的计算公式,在此基础上给出了包含地基综合参数在内的地震力的求解方法。利用冲击力锤法对室内模型桥进行了模态试验。试验结果表明:实测频率值与理论振型计算的频率值相差在5%以内,将桥墩的静力挠度曲线作为桥墩的振型函数是可行的;该计算方法可供简支梁抗震评估参考。
In order to find out the seismic feature of the existing simply-supported beam bridges,the deformation function of pier sited on the elastic foundations is adopted as its fundamental vibration mode,which includes three parts: the elastic deformations only caused by force,and the deformations caused by the foundation's rotation and translation.Then,the transverse seismic vibration equations of simply-supported beams with arbitrary span is conducted by Lagrange equation,and the formulas for its fundamental frequency and participation factors are derived,so the seismic force including foundation integration parameters can be calculated.A modal test using impact excitation method is carried out indoor.The results show that the frequency from the test has an error of 5% compared with the theoretical one,and the static deformation function can be effectively adopted as the pier's fundamental vibration mode,so the method presented can give reference to the seismic evaluation of the existing simply-supported beam bridges.1 tab,3 figs,10 refs.
In order to find out the seismic feature of the existing simply-supported beam bridges,the deformation function of pier sited on the elastic foundations is adopted as its fundamental vibration mode,which includes three parts: the elastic deformations only caused by force,and the deformations caused by the foundation's rotation and translation.Then,the transverse seismic vibration equations of simply-supported beams with arbitrary span is conducted by Lagrange equation,and the formulas for its fundamental frequency and participation factors are derived,so the seismic force including foundation integration parameters can be calculated.A modal test using impact excitation method is carried out indoor.The results show that the frequency from the test has an error of 5% compared with the theoretical one,and the static deformation function can be effectively adopted as the pier's fundamental vibration mode,so the method presented can give reference to the seismic evaluation of the existing simply-supported beam bridges.1 tab,3 figs,10 refs.
引文
[1]JTJ 004-89,公路工程抗震设计规范[S].
[2]刘伯权,黄华,刘鸣.简支梁桥在车辆荷载谱作用下的动力分析[J].土木工程学报,2006,39(3):76-80.LI U Bo-quan,HUANG Hua,LI U Ming.Dynamicanalysis of si mply supported beam bridges undervehicle load spectrum[J].China Civil EngineeringJournal,2006,39(3):76-80.
[3]周勇军,贺拴海,宋一凡,等.在役桥梁结构延性系数的动力评价方法[J].长安大学学报:自然科学版,2005,25(4):35-38.ZHOU Yong-jun,HE Shuan-hai,SONG Yi-fan,etal.Dynamic assessment method of ductilitycoefficient for existing beam bridges[J].Journal ofChang an University:Natural Science Edition,2005,25(4):35-38.
[4]周勇军,赵小星,贺拴海,等.弯钢箱梁桥的动力分析及模型试验[J].郑州大学学报:工学版,2005,26(4):20-24.ZHOU Yong-jun,ZHAO Xiao-xing,HE Shuan-hai,et al.Dynamic analysis and modal test of a curvedsteel box girder[J].Journal of Zhengzhou University:Engineering Science,2005,26(4):20-24.
[5]宋一凡,周勇军,贺拴海,等.连续梁桥横桥向地震动分析[J].振动与冲击,2006,25(2):147-151.SONG Yi-fan,ZHOU Yong-jun,HE Shuan-hai,etal.Transverse seismic analysis of capacity forcontinuous bridges[J].Journal of Vibration andShock,2006,25(2):147-151.
[6]周勇军,赵小星,宋一凡,等.连续梁桥模态分析与试验[J].长安大学学报:自然科学版,2007,27(3):57-60.ZHOU Yong-jun,ZHAO Xiao-xing,SONG Yi-fan,et al.Modal analysis and experi ment test ofcontinuous beam bridge[J].Journal of Chang anUniversity:Natural Science Edition,2007,27(3):57-60.
[7]JTJ 024-85,公路桥涵地基与基础设计规范[S].
[8]周勇军,彭晓彬,赵煜,等.简支梁桥顺桥向地震动分析[J].交通运输工程学报,2007,7(6):86-89.ZHOU Yong-jun,PENG Xiao-bin,ZHAO Yu,etal.Analysis of longitudinal seismic vibration forsi mply-supported beam bridge[J].Journal of Trafficand Transportation Engineering,2007,7(6):86-89.
[9]周勇军,贺拴海,宋一凡,等.弹性地基上连续梁桥顺桥向地震振动分析[J].长安大学学报:自然科学版,2008,28(2):49-52.ZHOU Yong-jun,HE Shuan-hai,SONG Yi-fan,etal.Longitudinal seismic vibration of continuous beambridge on elastic foundation[J].Journal of Chang anUniversity:Natural Science Edition,2008,28(2):49-52.
[10]张建仁,王磊.既有钢筋混凝土桥梁构件承载力估算方法[J].中国公路学报,2006,19(2):49-55.ZHANG Jian-ren,WANG Lei.Esti mated approachto carrying capacity of existing reinforced concretebridge member[J].China Journal of Highway andTransport,2006,19(2):49-55.
[2]刘伯权,黄华,刘鸣.简支梁桥在车辆荷载谱作用下的动力分析[J].土木工程学报,2006,39(3):76-80.LI U Bo-quan,HUANG Hua,LI U Ming.Dynamicanalysis of si mply supported beam bridges undervehicle load spectrum[J].China Civil EngineeringJournal,2006,39(3):76-80.
[3]周勇军,贺拴海,宋一凡,等.在役桥梁结构延性系数的动力评价方法[J].长安大学学报:自然科学版,2005,25(4):35-38.ZHOU Yong-jun,HE Shuan-hai,SONG Yi-fan,etal.Dynamic assessment method of ductilitycoefficient for existing beam bridges[J].Journal ofChang an University:Natural Science Edition,2005,25(4):35-38.
[4]周勇军,赵小星,贺拴海,等.弯钢箱梁桥的动力分析及模型试验[J].郑州大学学报:工学版,2005,26(4):20-24.ZHOU Yong-jun,ZHAO Xiao-xing,HE Shuan-hai,et al.Dynamic analysis and modal test of a curvedsteel box girder[J].Journal of Zhengzhou University:Engineering Science,2005,26(4):20-24.
[5]宋一凡,周勇军,贺拴海,等.连续梁桥横桥向地震动分析[J].振动与冲击,2006,25(2):147-151.SONG Yi-fan,ZHOU Yong-jun,HE Shuan-hai,etal.Transverse seismic analysis of capacity forcontinuous bridges[J].Journal of Vibration andShock,2006,25(2):147-151.
[6]周勇军,赵小星,宋一凡,等.连续梁桥模态分析与试验[J].长安大学学报:自然科学版,2007,27(3):57-60.ZHOU Yong-jun,ZHAO Xiao-xing,SONG Yi-fan,et al.Modal analysis and experi ment test ofcontinuous beam bridge[J].Journal of Chang anUniversity:Natural Science Edition,2007,27(3):57-60.
[7]JTJ 024-85,公路桥涵地基与基础设计规范[S].
[8]周勇军,彭晓彬,赵煜,等.简支梁桥顺桥向地震动分析[J].交通运输工程学报,2007,7(6):86-89.ZHOU Yong-jun,PENG Xiao-bin,ZHAO Yu,etal.Analysis of longitudinal seismic vibration forsi mply-supported beam bridge[J].Journal of Trafficand Transportation Engineering,2007,7(6):86-89.
[9]周勇军,贺拴海,宋一凡,等.弹性地基上连续梁桥顺桥向地震振动分析[J].长安大学学报:自然科学版,2008,28(2):49-52.ZHOU Yong-jun,HE Shuan-hai,SONG Yi-fan,etal.Longitudinal seismic vibration of continuous beambridge on elastic foundation[J].Journal of Chang anUniversity:Natural Science Edition,2008,28(2):49-52.
[10]张建仁,王磊.既有钢筋混凝土桥梁构件承载力估算方法[J].中国公路学报,2006,19(2):49-55.ZHANG Jian-ren,WANG Lei.Esti mated approachto carrying capacity of existing reinforced concretebridge member[J].China Journal of Highway andTransport,2006,19(2):49-55.
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