铅芯橡胶支座隔震公路桥梁车桥耦合的振动响应
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摘要
采用有限元软件ANSYS建立铅芯橡胶支座(LRB)隔震公路连续梁桥模型,利用Newmark时间积分法求解依据达朗贝尔原理建立的车桥耦合振动方程,并编制相应的MATLAB程序,利用该程序对LRB隔震公路连续梁桥在车辆荷载作用下的动力性能进行分析.分析结果表明:随着隔震周期的增大,桥墩处的LRB已发生屈服,严重影响车辆的行驶安全;隔震周期的改变对车体侧翻角位移影响较大,而对车体点头角位移影响甚微;增大LRB的阻尼,可有效降低支座和梁体横桥向位移;LRB阻尼的改变对车体竖向振动加速度、侧翻角加速度和点头加速度的影响均不明显;增大行车速度,会降低梁体横桥向位移;加速与减速行驶时,各验算点梁体横桥向位移峰值出现的位置有显著不同.
A finite element method model of seismic isolation continuous girder highway bridge is established by using the ANSYS program,and a coupling dynamic equations of vehicle-bridge is established by D′Alembert principle.The equation is solved by using Newmark time integral method and its relevant MATLAB program which analyzes the dynamic performance of highway seismic isolated bridge under action of vehicle load is proposed.The results show that the LRB of pier is yielded with isolated period of the bridge(IPB) increasing which affects the security of the vehicle.Different IPBs have big effect on the side rolling displacement of bodywork,but they have little effect on the nodding displacement of bodywork.Transversal displacement response of LRB and girder is reduced by increasing the damping ratio of LRB.Different damping ratios of LRB have little effect on the vertical vibration acceleration,side rolling acceleration and nodding acceleration of bodywork.Increase of the vehicle speed makes the girder transverse displacement become greater smaller.When the vehicle accelerates or decelerates driving,the occurring positions of peak value of girder transverse displacement for key points show significant differences.
A finite element method model of seismic isolation continuous girder highway bridge is established by using the ANSYS program,and a coupling dynamic equations of vehicle-bridge is established by D′Alembert principle.The equation is solved by using Newmark time integral method and its relevant MATLAB program which analyzes the dynamic performance of highway seismic isolated bridge under action of vehicle load is proposed.The results show that the LRB of pier is yielded with isolated period of the bridge(IPB) increasing which affects the security of the vehicle.Different IPBs have big effect on the side rolling displacement of bodywork,but they have little effect on the nodding displacement of bodywork.Transversal displacement response of LRB and girder is reduced by increasing the damping ratio of LRB.Different damping ratios of LRB have little effect on the vertical vibration acceleration,side rolling acceleration and nodding acceleration of bodywork.Increase of the vehicle speed makes the girder transverse displacement become greater smaller.When the vehicle accelerates or decelerates driving,the occurring positions of peak value of girder transverse displacement for key points show significant differences.
引文
[1]Jangid R S.Seismic response of isolated bridges[J].Jour-nal of Bride Engineering,2004,9(2):156-166.
[2]陈水生,马涌泉.SRB与LRB隔震连续梁桥地震响应对比研究[J].北京理工大学学报,2012,32(4):358-363.CHEN Shuisheng,MA Yongquan.A comparativestudy onseismic response of isolated continuous girder bridges withSRB and LRB[J].Transactions of Beijing Institute ofTechnology,2012,32(4):358-363.(in Chinese)
[3]江宜城,聂肃非,叶志雄.多铅芯橡胶隔震支座非线性力学性能试验研究及其显式有限元分析[J].工程力学,2008,25(7):11-17.JIANG Yicheng,NIE Sufei,YE Zhixiong.Experimentalstudy on mechanical properties of mult-i lead rubber bearingand its explicit finite element analysis[J].Engineering Me-chanics,2008,25(7):11-17.(in Chinese)
[4]Roussis P C,Constantinou M C,Erdik M,et a1.Assess-ment of performance of seismic isolation system of boluviaduct[J].Journal of Bridge Engineering,2003,8(4):182-190.
[5]Shen J,Tsai M H,Chang K C.Performance of a seism-ically isolated bridge under near-fault earthquake groundmotions[J].Journal of Structural Engineering,2004,130(6):861-868.
[6]Hameed A,Koo M S,Thang D D.Effect of lead rubberbearing characteristics on the response of seismic-isolatedbridges[J].Journal of Civil Engineering,2008,12(3),187-196.
[7]于芳,周福霖.设置双向隔震支座铁路桥梁的耦合振动响应[J].东南大学学报:自然科学版,2010,40(3):565-569.YU Fang,ZHOU Fulin.Investigation of the coupling dy-namic response between bidirectional seismic isolated rai-lway bridge and train load[J].Journal of Southeast Univer-sity:Natural Science Edition,2010,40(3):565-569.(in Chinese)
[8]Henchi K,Talbot M,Dhatt G.An efficient algorithm fordynamic analysis of bridges under moving vehicles using acoupled modal and physical components approach[J].Jour-nal of Sound and Vibration,1998,212(4):663-683.
[9]Park Y J,Wen Y K,Ang A H S.Random vibration ofhysteretic systems under B-i directional ground motions[J].Earthquake Engineering and Structural Dynamics,1986,14(4):543-557.
[10]Ramallo J C,Johnson E A.“Smart”base isolated systems[J].Journal of Engineering Mechanics,2002,128(10):1088-1099.
[11]Leslaw K,Hongyi L,Jerzy M.Finite element analysis ofvehicle-bridge interaction[J].Finite Element in Analysisand Design,2006,42(11):950-959.
[12]JTG/T B02—01—2008,公路桥梁抗震设计细则[S].北京:人民交通出版社,2008.JTG/T B02—01—2008,Guidelines for seismic design ofhighway bridges[S].Beijing:China CommunicationsPress,2008.(in Chinese)
[13]朱东生,劳远昌,沈大元.隔震桥梁设计参数的研究[J].土木工程学报,2000,33(5):52-56.ZHU Dongsheng,LAO Yuanchang,SHEN Dayuan.Re-search on some design parameters of seismically isolatedbridges[J].China Civil Engineering Journal,2000,33(5):52-56.(in Chinese)
[14]Kunde1 M C,Jangid R S.Effects of pier and deck flex-ibility on the seismic response of isolated bridges[J].Jour-nal of Bridge Engineering,2006,11(1):109-121.
[15]Tongaonkar N P,Jangid R S.Effect of isolator andground motion characteristics on the performance of seis-mi-c isolated bridges[J].Earthquake Engineering andStructural Dynamics,2006,35(2):233-250.
[2]陈水生,马涌泉.SRB与LRB隔震连续梁桥地震响应对比研究[J].北京理工大学学报,2012,32(4):358-363.CHEN Shuisheng,MA Yongquan.A comparativestudy onseismic response of isolated continuous girder bridges withSRB and LRB[J].Transactions of Beijing Institute ofTechnology,2012,32(4):358-363.(in Chinese)
[3]江宜城,聂肃非,叶志雄.多铅芯橡胶隔震支座非线性力学性能试验研究及其显式有限元分析[J].工程力学,2008,25(7):11-17.JIANG Yicheng,NIE Sufei,YE Zhixiong.Experimentalstudy on mechanical properties of mult-i lead rubber bearingand its explicit finite element analysis[J].Engineering Me-chanics,2008,25(7):11-17.(in Chinese)
[4]Roussis P C,Constantinou M C,Erdik M,et a1.Assess-ment of performance of seismic isolation system of boluviaduct[J].Journal of Bridge Engineering,2003,8(4):182-190.
[5]Shen J,Tsai M H,Chang K C.Performance of a seism-ically isolated bridge under near-fault earthquake groundmotions[J].Journal of Structural Engineering,2004,130(6):861-868.
[6]Hameed A,Koo M S,Thang D D.Effect of lead rubberbearing characteristics on the response of seismic-isolatedbridges[J].Journal of Civil Engineering,2008,12(3),187-196.
[7]于芳,周福霖.设置双向隔震支座铁路桥梁的耦合振动响应[J].东南大学学报:自然科学版,2010,40(3):565-569.YU Fang,ZHOU Fulin.Investigation of the coupling dy-namic response between bidirectional seismic isolated rai-lway bridge and train load[J].Journal of Southeast Univer-sity:Natural Science Edition,2010,40(3):565-569.(in Chinese)
[8]Henchi K,Talbot M,Dhatt G.An efficient algorithm fordynamic analysis of bridges under moving vehicles using acoupled modal and physical components approach[J].Jour-nal of Sound and Vibration,1998,212(4):663-683.
[9]Park Y J,Wen Y K,Ang A H S.Random vibration ofhysteretic systems under B-i directional ground motions[J].Earthquake Engineering and Structural Dynamics,1986,14(4):543-557.
[10]Ramallo J C,Johnson E A.“Smart”base isolated systems[J].Journal of Engineering Mechanics,2002,128(10):1088-1099.
[11]Leslaw K,Hongyi L,Jerzy M.Finite element analysis ofvehicle-bridge interaction[J].Finite Element in Analysisand Design,2006,42(11):950-959.
[12]JTG/T B02—01—2008,公路桥梁抗震设计细则[S].北京:人民交通出版社,2008.JTG/T B02—01—2008,Guidelines for seismic design ofhighway bridges[S].Beijing:China CommunicationsPress,2008.(in Chinese)
[13]朱东生,劳远昌,沈大元.隔震桥梁设计参数的研究[J].土木工程学报,2000,33(5):52-56.ZHU Dongsheng,LAO Yuanchang,SHEN Dayuan.Re-search on some design parameters of seismically isolatedbridges[J].China Civil Engineering Journal,2000,33(5):52-56.(in Chinese)
[14]Kunde1 M C,Jangid R S.Effects of pier and deck flex-ibility on the seismic response of isolated bridges[J].Jour-nal of Bridge Engineering,2006,11(1):109-121.
[15]Tongaonkar N P,Jangid R S.Effect of isolator andground motion characteristics on the performance of seis-mi-c isolated bridges[J].Earthquake Engineering andStructural Dynamics,2006,35(2):233-250.
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