地震作用下简支梁桥非线性碰撞分析
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摘要
采用能量原理建立了能考虑梁薄壁特性的桥梁上部结构梁段单元动力分析模型,利用非线性接触单元Kelvin碰撞模型,考虑非线性支座的滞回特性(采用W en模型),选择适合不同场地条件的地震波,以京港澳高速公路孟姜女河桥(3跨简支梁桥)为例,进行了桥梁结构纵向碰撞非线性地震响应分析。计算结果表明,随着地震波强度的增加,桥梁上部结构碰撞次数明显增加,结构响应峰值均有所增大;跨间碰撞发生对地震响应值影响较大;伸缩缝间距大小及各跨长度比变化对跨间碰撞效应影响很大;结构碰撞响应对输入地震波具有较强的频谱敏感性;桥梁碰撞计算时桥台铅芯橡胶支座不能简单按简支约束处理。所得结论可供桥梁抗震设计参考。
Based on the energy principle,the thin-wall beam element of bridge superstructure is established.According to Kelvin contact model,under the consideration of nonlinear bearing hysteretic characteristics(Wen model) and the waves for various site conditions,the longitudinal seismic pounding response of three span simple beam bridge of Jinggangao motorway is studied.The calculation results show that the pounding times and response peak values of the bridge superstructure are increased obviously with augmenting peak accelerations.The joint pounding affects the seismic responses,and the clearance of expansion joint and the span ratio affects the pounding response a lot.The pounding response is sensitive to the frequency spectra of the seismic waves.The pounding calculation with abutment lead-rubber bearing should not be simulated as simple support beam.The results provide references for the seismic design of bridges.
Based on the energy principle,the thin-wall beam element of bridge superstructure is established.According to Kelvin contact model,under the consideration of nonlinear bearing hysteretic characteristics(Wen model) and the waves for various site conditions,the longitudinal seismic pounding response of three span simple beam bridge of Jinggangao motorway is studied.The calculation results show that the pounding times and response peak values of the bridge superstructure are increased obviously with augmenting peak accelerations.The joint pounding affects the seismic responses,and the clearance of expansion joint and the span ratio affects the pounding response a lot.The pounding response is sensitive to the frequency spectra of the seismic waves.The pounding calculation with abutment lead-rubber bearing should not be simulated as simple support beam.The results provide references for the seismic design of bridges.
引文
[1]李建中,范立础.非规则梁桥纵向地震反应及碰撞效应[J].土木工程学报,2005,38(1):84-90.Li Jianzhong,Fan Lichu.Longitudinal seismic response and pounding effects of girder bridges with unconventional configurations[J].China CivilEngineering Journal,2005,38(1):84-90.
[2]于海龙,朱晞.地震作用下简支梁桥梁间碰撞的反应性能[J].北方交通大学学报,2004,28(1):43-46.Yu Hailong,Zhu Yi.Pounding response properties of simple beam bridge under earthquake[J].Journal of Northern Jiaotong University,2004,28(1):43-46.
[3]谢旭.柔性橡胶支座上的桥梁结构地震碰撞响应分析[J].浙江大学学报,2004,38(6):725-741.Xie Xu.Earthquake response of bridges bearing on flexible rubber considering pounding of girders[J].Journal of Zhejiang University,2004,38(6):725-741.
[4]陈学喜,朱晞.地震作用下桥梁梁体间的碰撞响应分析[J].中国铁道科学,2005,26(6):75-79.Chen Xuexi,Zhu Xi.Analysis on the pounding responses between adjacent bridge beams under earthquakes[J].China Railway Science,2005,26(6):75-79.
[5]Zhu Ping,Abe M.Modelling three-dimensional non-linear seismic performance of elevated bridges with emphasis on pounding of girders[J].Earthquake Engng Struct.Dyn.2002,31:1891-1913.
[6]Ruangrassamee A,Kawashima K.Relative displacement response spectra with pounding effect[J].Earthquake Engng Struct.Dyn.2001,30:1511-1538.
[7]朱伯芳.有限单元法原理与应用[M].北京:中国水利水电出版社,1998.Zhu Bofang.The Finite Element Method Theory and Applications[M].Beijing:China Water Power Press,1998.
[8]Malhotra P K.Dynamics of seismic pounding at expansion joints of concrete bridges[J].Journal of Engineering Mechanics,ASCE,1998,124(7):478-502.
[9]秦泗凤,柳春光.基于改进ASPA法的高阶振型对桥墩抗震性能的影响评价[J].中国公路学报,2008,21(5):57-62.Qin Sifeng,Liu Chunguang.Evaluation for influence of higher mode on pier anti-seismic performance based on improved ASPA method[J].ChinaJournal of Highway and Transport,2008,21(5):57-62.
[10]胡聿贤.地震工程学(第二版)[M].北京:地震出版社,2006,253-260.Hu Yuxian.Earthquake Engineering(second edition)[M].Beijing:Earthquake Press,2006:253-260.
[2]于海龙,朱晞.地震作用下简支梁桥梁间碰撞的反应性能[J].北方交通大学学报,2004,28(1):43-46.Yu Hailong,Zhu Yi.Pounding response properties of simple beam bridge under earthquake[J].Journal of Northern Jiaotong University,2004,28(1):43-46.
[3]谢旭.柔性橡胶支座上的桥梁结构地震碰撞响应分析[J].浙江大学学报,2004,38(6):725-741.Xie Xu.Earthquake response of bridges bearing on flexible rubber considering pounding of girders[J].Journal of Zhejiang University,2004,38(6):725-741.
[4]陈学喜,朱晞.地震作用下桥梁梁体间的碰撞响应分析[J].中国铁道科学,2005,26(6):75-79.Chen Xuexi,Zhu Xi.Analysis on the pounding responses between adjacent bridge beams under earthquakes[J].China Railway Science,2005,26(6):75-79.
[5]Zhu Ping,Abe M.Modelling three-dimensional non-linear seismic performance of elevated bridges with emphasis on pounding of girders[J].Earthquake Engng Struct.Dyn.2002,31:1891-1913.
[6]Ruangrassamee A,Kawashima K.Relative displacement response spectra with pounding effect[J].Earthquake Engng Struct.Dyn.2001,30:1511-1538.
[7]朱伯芳.有限单元法原理与应用[M].北京:中国水利水电出版社,1998.Zhu Bofang.The Finite Element Method Theory and Applications[M].Beijing:China Water Power Press,1998.
[8]Malhotra P K.Dynamics of seismic pounding at expansion joints of concrete bridges[J].Journal of Engineering Mechanics,ASCE,1998,124(7):478-502.
[9]秦泗凤,柳春光.基于改进ASPA法的高阶振型对桥墩抗震性能的影响评价[J].中国公路学报,2008,21(5):57-62.Qin Sifeng,Liu Chunguang.Evaluation for influence of higher mode on pier anti-seismic performance based on improved ASPA method[J].ChinaJournal of Highway and Transport,2008,21(5):57-62.
[10]胡聿贤.地震工程学(第二版)[M].北京:地震出版社,2006,253-260.Hu Yuxian.Earthquake Engineering(second edition)[M].Beijing:Earthquake Press,2006:253-260.
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