高墩大跨弯连续刚构桥冲击系数计算公式
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摘要
为研究高墩大跨弯连续刚构桥冲击系数敏感性因素及计算公式,以陕西某大跨弯连续刚构桥为依托,基于车-桥耦合振动原理,采用三轴五自由度车辆模型,分析了曲率半径、墩高和路面不平整度对桥梁结构最不利断面冲击系数的影响,给出了相应的挠度、弯矩和扭矩冲击系数最大值包络曲线,通过回归分析提出了弯连续刚构桥冲击系数的计算公式,并将计算结果与国内外规范进行比较.结果表明,对于此类特殊桥梁结构,中国规范冲击系数计算值较其他国家规范值小,在路面等级较差时,各国规范冲击系数计算值均偏于不安全,此时均需考虑不平整度对桥梁冲击系数的影响,研究结果将为该类桥梁冲击系数的精确计算提供参考.
In order to study the sensitive parameters of dynamic load allowance(DLA) for continuous rigid frame bridge with high pier and long-span and its calculation formulas,a rigid frame bridge in Shaanxi province was taken as example.Based on bridge-vehicle coupled vibration principle,the 5DOFs spatial vehicle model was setup,the effect of pier height,superstructure curvature radius and bridge deck roughness on the DLA of bridge structure was studied,and the maximum DLAs for the bending moment,deflection and torture moment were put forward.Then by regression analysis,the DLA formulas of the bridge were given,which were compared with those from other country's codes.The results show that for this special kind of bridge,the DLA from Chinese code is less than those of foreign countries.When exposed to the worse roads,all the current countries' codes underestimate the impact factor,so it is considerable that the roughness should be added to the DLA formulas.The results can give reference to computation method of DLA for this kind of bridge.
In order to study the sensitive parameters of dynamic load allowance(DLA) for continuous rigid frame bridge with high pier and long-span and its calculation formulas,a rigid frame bridge in Shaanxi province was taken as example.Based on bridge-vehicle coupled vibration principle,the 5DOFs spatial vehicle model was setup,the effect of pier height,superstructure curvature radius and bridge deck roughness on the DLA of bridge structure was studied,and the maximum DLAs for the bending moment,deflection and torture moment were put forward.Then by regression analysis,the DLA formulas of the bridge were given,which were compared with those from other country's codes.The results show that for this special kind of bridge,the DLA from Chinese code is less than those of foreign countries.When exposed to the worse roads,all the current countries' codes underestimate the impact factor,so it is considerable that the roughness should be added to the DLA formulas.The results can give reference to computation method of DLA for this kind of bridge.
引文
[1]袁明,余钱华,颜东煌.基于车一桥系统耦合振动理论的大跨PC连续刚构桥冲击系数研究[J].中国公路学报,2008,21(1):72-76,120.YUAN Ming,YU Qianhua,YAN Donghuang.Research on impact coefficient for PC continuous rigid frame bridges with long-span under theory of vehicle-bridge system coupling vibration[J].China Journal of Highway and Transport,2008,21(1):72-76,120.
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[6]李小珍,刘孝寒,刘德军.考虑桩-土相互作用的连续刚构桥车桥耦合振动分析[J].振动与冲击,2011,30(12):54-58.LI Xiaozhen,LIU Xiaohan,LIU Dejun.Coupled vibration analysis of a railway continuous rigid frame bridge and vehicles with soil-strcture interaction[J].Journal of Vibration and Shock,2011,30(12):54-58.
[7]盛国刚,李传习,赵冰.桥梁表面不平顺对车桥耦合振动系统动力效应的影响[J].应用力学学报,2007,24(1):124-127.SHENG Guogang,LI Chuanxi,ZHAO Bing.Dynamic behavior of coupled vehicle bridge systems considering bridge surface roughness[J].Chinese Journal of Applied Mechanics,2007,24(1):124-127.
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[9]王凌波,蒋培文,康馨,等.公路连续刚构桥梁车桥耦合共振判定方法[J].中南大学学报(自然科学版),2014,45(11):4050-4058.WANG Linbo,JIANG Peiwen,KANG Xin.et al.Judging method for coupled vibration resonance of vehicle-bridge of continuous rigid frame bridges[J].Journal of Central South University(Science and Technology),2014,45(11):4050-4058.
[10]周勇军,张晓栋,宋一凡,等.高墩连续刚构桥纵向振动基频的能量法计算公式[J].长安大学学报(自然科学版),2013,33(3):48-54.ZHOU Yongjun,ZHANG Xiaodong,SONG Yifan et al.Calculation formula of longitudinal fundamental vibration frequency for continuous rigid frame bridge with high piers based on energy method[J].Journal of Chang?an University(Natural science edition),2013,33(3):48-54.
[11]周勇军,蔡军哲,石雄伟.基于加权法的桥梁冲击系数计算方法[J].交通运输工程学报,2013,8(4):29-36.ZHOU Yongjun,CAI Junzhe,SHI Xiongwei.Computing method of bridge impact factor based on weighted method[J].Journal of Traffic and Transportation Engineering,2013,8(4):29-36.
[12]公路桥涵设计通用规范:JTG D60-2004[S].北京:人民交通出版社General code for design of highway bridges and culverts:JTG D60-2004[S].Beijing:China Communication Press.
[13]AASHTO.AASHTO LRFD bridge design specifications[S].Washington,DC:American Association of State Highway and Transportation Officials,2012.
[14]Canadian Highway Bridge Design Code[S].Canadian Standards Association,2006.
[15]Steel,Concrete and Composite Bridges.Part 2:Specification for Loads:BS 5400-2[S].British Standards Institute,2006.
[16]蒋培文.公路大跨径连续体系桥梁车桥耦合振动研究[D].陕西:长安大学,2012.JIANG Peiwen.Coupled vibration between vehicles and highway long-span continuous series bridge[D].Xi?an:Chang?an University,2012.
[17]周勇军,赵煜,贺拴海.刚构_连续组合桥梁冲击系数多因素灵敏度分析[J].振动与冲击,2012,31(3):97-101.ZHOU Yongjun,ZHAO Yu,HE Shuanhai.Muti-parameters sensitivity analysis of impact factors for rigid continuous combine bridge[J].Journal of Vibration and Shock,2012,31(3):97-101.
[18]孙建鹏,李青宁.基于传递矩阵法曲线桥的振动特性分析[J].西安建筑科技大学学报(自然科学版),2009,41(4):518-523.SUN Jianpeng,LI Qingning.The vibration characteristic analysis of curved bridge based on transfer matrix method[J].J.Xi?an Univ.of Arch.&Tech.(Natural Science Edition),2009,41(4):518-523.
[19]牛俊武,郭楠楠,马文涛.不同曲率半径对高墩大跨径连续刚构桥抗震性能影响分析[J].公路,2011,9(9):137-141.NIU Junwu,GUO Nannan,MA Wentao.Effectinfluence of continuous rigid frame bridge’s seismic response under different curvature radius[J].highway,2011,9(9):137-141.
[20]李加武,卢斌,刘健新.墩高及支座剪切刚度对连续梁减震性能影响的试验研究[J].长安大学学报(自然科学版),2002,3(2):39-41.LI Jiawu,LU Bin,LIU Jianxin.Experimental study on the effect of pier high and bearing shear stiffness on the seism ic-induced behavior of continuous beam[J].Journal of Chang?an University(Natural Science Edition),2002,3(2):39-41.
[21]宋一凡,陈榕峰.基于路面不平整度的车辆振动响应分析方法[J].交通运输工程学报,2007,7(4):39-43.SONG Yifan,CHEN Rongfeng.Analysis method of vehicle vibration response caused by pavement roughness[J].Journal of Traffic and Transportation Engineering,2007,7(4):39-43
[22]韩万水,王涛,李永庆.基于模型修正梁格法的车桥耦合振动分析系统[J].中国公路学报,2011,24(5):47-55.HAN Wanshui,WANG Tao,LI Yongqing.Analysis system of vehicle bridge coupling vibration with grillage method based on model updating[J].China Journal of Highway and Transport,2011,24(5):47-55.
[23]LIU Xiaogang,FAN Jiansheng,NIE Jianguo,et al.Behavior of composite rigid frame bridge under bidirectional seismic excitations[J].Journal of Traffic and Transportation Engineering,2014,1(1):63-71.
[2]李忠献,陈锋.曲线箱梁桥的车桥相互作用分析[J].工程力学,2007,24(11):93-99.LI Zhongxian,CHEN Feng.Analysis Of interaction between vehicle and bridge with curved box girders[J].Engineering Mechanics,2007,24(11):93-99.
[3]黄东洲.曲钢箱梁桥冲击系数的实用计算方法[C]//第十八届全国桥梁学术会议论文集(下册).北京:中国土木工程学会2008,819-825.HUANG Dongzhou.A practical computation method for impact coefficient of curved beam bridge[C]//The 18th annual national academic conference proceedings bridge.Beijing:China Civil Engineering Society,2008,8.
[4]HUANG D Z.Dynamic analysis of steel curved box girder bridges[J].Journal of Bridge Engineering,2001,6(6):506-513.
[5]单德山,李乔.考虑桩土作用的铁路曲线梁桥车桥耦合振动分析[J].重庆交通学院学报,2004,23(6):10-14.SHAN Deshan,LI Qiao.Coupled vibration analysis of rail-way simple supported curved-girder bridges and vehicles with soil structure interaction[J].Journal of Chongqing Jiaotong University,2004,23(6):10-14.
[6]李小珍,刘孝寒,刘德军.考虑桩-土相互作用的连续刚构桥车桥耦合振动分析[J].振动与冲击,2011,30(12):54-58.LI Xiaozhen,LIU Xiaohan,LIU Dejun.Coupled vibration analysis of a railway continuous rigid frame bridge and vehicles with soil-strcture interaction[J].Journal of Vibration and Shock,2011,30(12):54-58.
[7]盛国刚,李传习,赵冰.桥梁表面不平顺对车桥耦合振动系统动力效应的影响[J].应用力学学报,2007,24(1):124-127.SHENG Guogang,LI Chuanxi,ZHAO Bing.Dynamic behavior of coupled vehicle bridge systems considering bridge surface roughness[J].Chinese Journal of Applied Mechanics,2007,24(1):124-127.
[8]王凌波,马印平,蒋培文,等.连续刚构体系车桥耦合振动敏感性参数研究[J].合肥工业大学学报(自然科学版),2014,37(8):901-906.WANG Linbo,MA Yinping,JIANG Peiwen et al.Sensitive parameter analysis of vehicles-bridge coupled vibration based on continuous rigid frame system[J].Journal of Hefei University of Technology(Natural ence),2014,37(8):901-906.
[9]王凌波,蒋培文,康馨,等.公路连续刚构桥梁车桥耦合共振判定方法[J].中南大学学报(自然科学版),2014,45(11):4050-4058.WANG Linbo,JIANG Peiwen,KANG Xin.et al.Judging method for coupled vibration resonance of vehicle-bridge of continuous rigid frame bridges[J].Journal of Central South University(Science and Technology),2014,45(11):4050-4058.
[10]周勇军,张晓栋,宋一凡,等.高墩连续刚构桥纵向振动基频的能量法计算公式[J].长安大学学报(自然科学版),2013,33(3):48-54.ZHOU Yongjun,ZHANG Xiaodong,SONG Yifan et al.Calculation formula of longitudinal fundamental vibration frequency for continuous rigid frame bridge with high piers based on energy method[J].Journal of Chang?an University(Natural science edition),2013,33(3):48-54.
[11]周勇军,蔡军哲,石雄伟.基于加权法的桥梁冲击系数计算方法[J].交通运输工程学报,2013,8(4):29-36.ZHOU Yongjun,CAI Junzhe,SHI Xiongwei.Computing method of bridge impact factor based on weighted method[J].Journal of Traffic and Transportation Engineering,2013,8(4):29-36.
[12]公路桥涵设计通用规范:JTG D60-2004[S].北京:人民交通出版社General code for design of highway bridges and culverts:JTG D60-2004[S].Beijing:China Communication Press.
[13]AASHTO.AASHTO LRFD bridge design specifications[S].Washington,DC:American Association of State Highway and Transportation Officials,2012.
[14]Canadian Highway Bridge Design Code[S].Canadian Standards Association,2006.
[15]Steel,Concrete and Composite Bridges.Part 2:Specification for Loads:BS 5400-2[S].British Standards Institute,2006.
[16]蒋培文.公路大跨径连续体系桥梁车桥耦合振动研究[D].陕西:长安大学,2012.JIANG Peiwen.Coupled vibration between vehicles and highway long-span continuous series bridge[D].Xi?an:Chang?an University,2012.
[17]周勇军,赵煜,贺拴海.刚构_连续组合桥梁冲击系数多因素灵敏度分析[J].振动与冲击,2012,31(3):97-101.ZHOU Yongjun,ZHAO Yu,HE Shuanhai.Muti-parameters sensitivity analysis of impact factors for rigid continuous combine bridge[J].Journal of Vibration and Shock,2012,31(3):97-101.
[18]孙建鹏,李青宁.基于传递矩阵法曲线桥的振动特性分析[J].西安建筑科技大学学报(自然科学版),2009,41(4):518-523.SUN Jianpeng,LI Qingning.The vibration characteristic analysis of curved bridge based on transfer matrix method[J].J.Xi?an Univ.of Arch.&Tech.(Natural Science Edition),2009,41(4):518-523.
[19]牛俊武,郭楠楠,马文涛.不同曲率半径对高墩大跨径连续刚构桥抗震性能影响分析[J].公路,2011,9(9):137-141.NIU Junwu,GUO Nannan,MA Wentao.Effectinfluence of continuous rigid frame bridge’s seismic response under different curvature radius[J].highway,2011,9(9):137-141.
[20]李加武,卢斌,刘健新.墩高及支座剪切刚度对连续梁减震性能影响的试验研究[J].长安大学学报(自然科学版),2002,3(2):39-41.LI Jiawu,LU Bin,LIU Jianxin.Experimental study on the effect of pier high and bearing shear stiffness on the seism ic-induced behavior of continuous beam[J].Journal of Chang?an University(Natural Science Edition),2002,3(2):39-41.
[21]宋一凡,陈榕峰.基于路面不平整度的车辆振动响应分析方法[J].交通运输工程学报,2007,7(4):39-43.SONG Yifan,CHEN Rongfeng.Analysis method of vehicle vibration response caused by pavement roughness[J].Journal of Traffic and Transportation Engineering,2007,7(4):39-43
[22]韩万水,王涛,李永庆.基于模型修正梁格法的车桥耦合振动分析系统[J].中国公路学报,2011,24(5):47-55.HAN Wanshui,WANG Tao,LI Yongqing.Analysis system of vehicle bridge coupling vibration with grillage method based on model updating[J].China Journal of Highway and Transport,2011,24(5):47-55.
[23]LIU Xiaogang,FAN Jiansheng,NIE Jianguo,et al.Behavior of composite rigid frame bridge under bidirectional seismic excitations[J].Journal of Traffic and Transportation Engineering,2014,1(1):63-71.