行波效应下大跨钢管混凝土拱桥的非线性地震响应分析
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摘要
对大跨度钢管混凝土拱桥在三维地震激励下进行了非线性时程分析。几何非线性分析采用修正拉格朗日描述(U.L列式法),材料非线性采用钢管混凝土统一理论并考虑等效紧箍力,通过对某大跨度钢管混凝土拱桥的非线性地震响应分析,研究了几何非线性、材料非线性、阻尼比及行波效应对拱桥地震响应的影响。结果表明:几何非线性对钢管混凝土拱桥地震响应的影响程度与结构的地震响应幅度有关;阻尼比和行波效应对钢管混凝土拱桥地震响应的影响是显著的;材料非线性对拱肋位移和轴力的影响较小,但对拱肋的面内外弯矩影响较大。
The nonlinear time-history of long-span concrete filled steel tubular(CFST) arch bridge under 3D earthquake excitations was analysed.The geometrical non-linearity was analysed with updated Lagrange formulation,and the material non-linearity was analyzed by the unified theory and equivalent confined stress.The influence of geometrical non-linearity,material non-linearity,damping ratio and traveling wave effect on the earthquake response of the bridge was studied based on nonlinear seismic response analysis of a long-span CFST arch bridge.The results show that(1) the influence of geometrical non-linearity on the seismic response of CFST arch bridge is concerned with the seismic response amplitude of structure;(2) the influence of damping ratio and traveling wave effect on the seismic response of CFST arch bridge is remarkable;(3) the material non-linearity has little effect on the displacement of arch rib and axial force,but has great effect on the in-plane and out-of-plane bending moment.
The nonlinear time-history of long-span concrete filled steel tubular(CFST) arch bridge under 3D earthquake excitations was analysed.The geometrical non-linearity was analysed with updated Lagrange formulation,and the material non-linearity was analyzed by the unified theory and equivalent confined stress.The influence of geometrical non-linearity,material non-linearity,damping ratio and traveling wave effect on the earthquake response of the bridge was studied based on nonlinear seismic response analysis of a long-span CFST arch bridge.The results show that(1) the influence of geometrical non-linearity on the seismic response of CFST arch bridge is concerned with the seismic response amplitude of structure;(2) the influence of damping ratio and traveling wave effect on the seismic response of CFST arch bridge is remarkable;(3) the material non-linearity has little effect on the displacement of arch rib and axial force,but has great effect on the in-plane and out-of-plane bending moment.
引文
[1]陈宝春.钢管混凝土拱桥计算理论研究进展[J].土木工程学报,2003,36(12):47-57.CHEN Baochun.State-of-the-art Theory of Calculation forConcrete-filled Steel Tubular Arch Bridge[J].ChinaCivil Engineering Journal,2003,36(12):47-57.
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[4]谢开仲,秦荣,李秀梅,等.钢管混凝土拱桥的材料非线性地震反应分析[J].世界地震工程,2005,21(3):40-44.XIE Kaizhong,QIN Rong,LI Xiumei,et al.SeismicResponse Analysis of Material Nonlinearity of a ConcreteFilled Steel Tube Arch Bridge[J].World EarthquakeEngineering.2005,21(3):40-44.
[5]胡世德,苏虹,王君杰.钢管混凝土拱桥的三维弹塑性地震反应理论分析[J].中国公路学报,2004,17(1):57-61.HU Shide,SU Hong,WANG Junjie.Three DimensionalElasto-plastic Seismic Response Analysis of CFST Bridge[J].China Journal of Highway and Transport,2004,17(1):57-61.
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[7]ALEXANDER N A.Multi-support Excitation of SingleSpan Bridges,Using Real Seismic Ground MotionRecorded at the SMART-1 Array[J].Computers andStructures,2008,86(1):88-103.
[8]KIUREGHIAN A D,NEUENHOFER A.ResponseSpectrum Method for Multi-support Seismic Excitations[J].Earthquake Engineering and Structural Dynamics,1992,21(8):713-740.
[9]韩林海.钢管混凝土结构[M].北京:科学出版社,2000.HAN Linhai.Structure of Concrete-filled Steel-tube[M].Beijing:Science Press,2000.
[10]谢肖礼,赵国藩,邹存俊.钢管混凝土拱桥肋拱面内极限承载力全过程计算机模拟[J].土木工程学报,2004,37(5):54-58.XIE Xiaoli,ZHAO Guofan,ZOU Cunjun.ComputerSimulation of the Whole Process for Ultimate Load ofStability in the Plane of Ribbed Arches of Concrete-filledSteel Tubular Arch Bridge[J].China Civil EngineeringJournal,2004,37(5):54-58.
[2]郑家树.大跨度钢管混凝土拱桥非线性地震反应分析[D].成都:西南交通大学,2000.ZHENG Jiashu.Nonlinear Seismic Response Analysis ofLong-span CFST Arch Bridge[D].Chengdu:SoutheastJiaotong University,2000.
[3]赵灿晖,周志祥.大跨度钢管混凝土拱桥非线性地震反应分析[J].重庆建筑大学学报,2006,28(2):47-51.ZHAO Canhui,ZHOU Zhixiang.Nonlinear SeismicResponse Analysis of Long-span CFST Arch Bridge[J].Journal of Chongqing Jianzhu University,2006,28(2):47-51.
[4]谢开仲,秦荣,李秀梅,等.钢管混凝土拱桥的材料非线性地震反应分析[J].世界地震工程,2005,21(3):40-44.XIE Kaizhong,QIN Rong,LI Xiumei,et al.SeismicResponse Analysis of Material Nonlinearity of a ConcreteFilled Steel Tube Arch Bridge[J].World EarthquakeEngineering.2005,21(3):40-44.
[5]胡世德,苏虹,王君杰.钢管混凝土拱桥的三维弹塑性地震反应理论分析[J].中国公路学报,2004,17(1):57-61.HU Shide,SU Hong,WANG Junjie.Three DimensionalElasto-plastic Seismic Response Analysis of CFST Bridge[J].China Journal of Highway and Transport,2004,17(1):57-61.
[6]郑史雄,周述华,丁贵保.大跨度钢管混凝土拱桥的地震反应性能[J].西南交通大学学报,1999,34(3):320-324.ZHENG Shixiong,ZHOU Shuhua,DING Guibao.TheSeismic Response Behavior of Long-span CFST ArchBridge[J].Journal of Southeast Jiaotong University,1999,34(3):320-324.
[7]ALEXANDER N A.Multi-support Excitation of SingleSpan Bridges,Using Real Seismic Ground MotionRecorded at the SMART-1 Array[J].Computers andStructures,2008,86(1):88-103.
[8]KIUREGHIAN A D,NEUENHOFER A.ResponseSpectrum Method for Multi-support Seismic Excitations[J].Earthquake Engineering and Structural Dynamics,1992,21(8):713-740.
[9]韩林海.钢管混凝土结构[M].北京:科学出版社,2000.HAN Linhai.Structure of Concrete-filled Steel-tube[M].Beijing:Science Press,2000.
[10]谢肖礼,赵国藩,邹存俊.钢管混凝土拱桥肋拱面内极限承载力全过程计算机模拟[J].土木工程学报,2004,37(5):54-58.XIE Xiaoli,ZHAO Guofan,ZOU Cunjun.ComputerSimulation of the Whole Process for Ultimate Load ofStability in the Plane of Ribbed Arches of Concrete-filledSteel Tubular Arch Bridge[J].China Civil EngineeringJournal,2004,37(5):54-58.
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