非经典阻尼对减隔震连续梁桥地震响应的影响
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摘要
以组合使用板式橡胶支座与黏滞阻尼器的减隔震连续梁桥为例,采用先强迫解耦再进行模态时程分析的方法,对减隔震装置的不同布设位置和等效阻尼系数取值进行参数敏感性分析。结果表明:减隔震装置产生的集中阻尼改变了结构整体阻尼的分布特性,减隔震装置的布设位置和耗能能力分布越不均匀,结构的非经典阻尼特性越明显;随着减隔震装置等效阻尼系数增加,结构各阶振型模态阻尼比也随之增大,非经典阻尼对结构地震响应的影响也越来越大;可近似解耦范围与桥梁结构形式、等效阻尼系数取值有关。
Taking isolated seismic continuous girder bridge combined with laminated rubber bearing and viscous damping for example,through modal time history analysis after decoupling by forced uncoupling method,parametric sensitivities of values for different arrangement positions and equivalent damping coefficients of seismic isolation devices were analyzed.The result indicates that non-classical damping produced by seismic isolation devices changes the overall damping characteristics of structures,and the influence of non-classical damping increases with uneven arrangement positions and energy dissipation ability of seismic isolation devices;increasing with the equivalent damping coefficient of seismic isolation devices,modal damping ratio of structural vibration mode increases and influence of non-classical damping on structural seismic response becomes great;the bounds of approximate decoupling errors lie on bridge structural style and equivalent damping coefficient.
Taking isolated seismic continuous girder bridge combined with laminated rubber bearing and viscous damping for example,through modal time history analysis after decoupling by forced uncoupling method,parametric sensitivities of values for different arrangement positions and equivalent damping coefficients of seismic isolation devices were analyzed.The result indicates that non-classical damping produced by seismic isolation devices changes the overall damping characteristics of structures,and the influence of non-classical damping increases with uneven arrangement positions and energy dissipation ability of seismic isolation devices;increasing with the equivalent damping coefficient of seismic isolation devices,modal damping ratio of structural vibration mode increases and influence of non-classical damping on structural seismic response becomes great;the bounds of approximate decoupling errors lie on bridge structural style and equivalent damping coefficient.
引文
[1]范立础,王志强.桥梁减隔震设计[M].北京:人民交通出版社,2001.FAN Li-chu,WANG Zhi-qiang.Seismic Isolation De-sign of Bridges[M].Beijing:China CommunicationsPress,2001.
[2]PRIESTLEY M J N,SEIBLE F,GALVI G M.Seis-mic Design and Retrofit of Bridges[M].New York:John Wiley&Sons,1996.
[3]范立础,袁万城.桥梁橡胶支座减、隔震性能研究[J].同济大学学报:自然科学版,1989,17(4):447-455.FAN Li-chu,YUAN Wan-cheng.Seismic Isolationand Energy Absorption Properties of Elastomeric PadBearing for Bridges[J].Journal of Tongji University:Natural Science,1989,17(4):447-455.
[4]翁大根,卢著辉,徐斌,等.粘滞阻尼器力学性能试验研究[J].世界地震工程,2002,18(4):30-34.WENG Da-gen,LU Zhu-hui,XU Bin,et al.The Ex-perimental Study on Property of Energy Dissipation ofViscous Liquid Damper[J].World Earthquake En-gineering,2002,18(4):30-34.
[5]FOSS K A.Coordinates Which Uncouple the Motionof Damped Linear Dynamic Systems[J].Journal ofApplied Mechanics,1958,32(3):361-364.
[6]TSAI H C,KELLY J M.Non-classical Damping inDynamic Analysis of Base-isolated Structures with In-ternal Equipment[J].Earthquake Engineering&Structural Dynamics,2006,16(1):29-43.
[7]楼梦麟,雍国柱,李建元.阻尼特性对组合结构地震反应的影响[J].建筑科学与工程学报,2007,24(2):24-29.LOU Meng-lin,YONG Guo-zhu,LI Jian-yuan.Influ-ence of Damping Characteristics on Seismic Responsesof Composite Structures[J].Journal of Architectureand Civil Engineering,2007,24(2):24-29.
[8]欧进萍,吴斌,龙旭.耗能减振结构的抗震设计方法[J].地震工程与工程振动,1998,18(2):98-107.OU Jin-ping,WU Bin,LONG Xu.Aseismic DesignMethods of Passive Energy Dissipation Systems[J].Earthquake Engineering and Engineering Vibration,1998,18(2):98-107.
[9]KELLY J M.The Role of Damping in Seismic Isola-tion[J].Earthquake Engineering&Structural Dy-namics,1999,28(1):3-20.
[10]许红胜,周绪红,刘永健.钢结构交错桁架体系在强震作用下的破坏模式[J].建筑科学与工程学报,2007,24(2):63-67.XU Hong-sheng,ZHOU Xu-hong,LIU Yong-jian.Failure Mode of Staggered Truss System of SteelStructure Under Severe Earthquake[J].Journal ofArchitecture and Civil Engineering,2007,24(2):63-67.
[11]陈政清.斜拉索风雨振现场观测与振动控制[J].建筑科学与工程学报,2005,22(4):5-10.CHEN Zheng-qing.On-site Observation of Wind-rainInduced Vibration of Stay Cables and Its Control[J].Journal of Architecture and Civil Engineering,2005,22(4):5-10.
[12]FRANCHIN P,MONTI G,PINTO P E.On the Ac-curacy of Simplified Methods for the Analysis ofIsolated Bridges[J].Earthquake Engineering&Structural Dynamics,2001,30(3):363-382.
[13]俞瑞芳,周锡元.非比例阻尼弹性结构地震反应强迫解耦方法的理论背景和数值检验[J].工业建筑,2005,32(2):52-56.YU Rui-fang,ZHOU Xi-yuan.Theoretical and Nu-merical Research on Forced Uncoupling Method forSeismic Response of Non-classically Damped LinearSystem[J].Industrial Construction,2005,35(2):52-56.
[14]范立础.桥梁抗震[M].上海:同济大学出版社,1996.FAN Li-chu.Earthquake-resistance of Bridges[M].Shanghai:Tongji University Press,1996.
[15]蒋建军,李建中,范立础.桥梁板式橡胶支座与粘滞阻尼器组合使用的减震性能研究[J].公路交通科技,2005,22(8):44-48.JIANG Jian-jun,LI Jian-zhong,FAN Li-chu.Study onAseismic Performance of Combination of LaminatedRubber Bearing and Viscous Damper for Bridge[J].Journal of Highway and Transportation Research andDevelopment,2005,22(8):44-48.
[2]PRIESTLEY M J N,SEIBLE F,GALVI G M.Seis-mic Design and Retrofit of Bridges[M].New York:John Wiley&Sons,1996.
[3]范立础,袁万城.桥梁橡胶支座减、隔震性能研究[J].同济大学学报:自然科学版,1989,17(4):447-455.FAN Li-chu,YUAN Wan-cheng.Seismic Isolationand Energy Absorption Properties of Elastomeric PadBearing for Bridges[J].Journal of Tongji University:Natural Science,1989,17(4):447-455.
[4]翁大根,卢著辉,徐斌,等.粘滞阻尼器力学性能试验研究[J].世界地震工程,2002,18(4):30-34.WENG Da-gen,LU Zhu-hui,XU Bin,et al.The Ex-perimental Study on Property of Energy Dissipation ofViscous Liquid Damper[J].World Earthquake En-gineering,2002,18(4):30-34.
[5]FOSS K A.Coordinates Which Uncouple the Motionof Damped Linear Dynamic Systems[J].Journal ofApplied Mechanics,1958,32(3):361-364.
[6]TSAI H C,KELLY J M.Non-classical Damping inDynamic Analysis of Base-isolated Structures with In-ternal Equipment[J].Earthquake Engineering&Structural Dynamics,2006,16(1):29-43.
[7]楼梦麟,雍国柱,李建元.阻尼特性对组合结构地震反应的影响[J].建筑科学与工程学报,2007,24(2):24-29.LOU Meng-lin,YONG Guo-zhu,LI Jian-yuan.Influ-ence of Damping Characteristics on Seismic Responsesof Composite Structures[J].Journal of Architectureand Civil Engineering,2007,24(2):24-29.
[8]欧进萍,吴斌,龙旭.耗能减振结构的抗震设计方法[J].地震工程与工程振动,1998,18(2):98-107.OU Jin-ping,WU Bin,LONG Xu.Aseismic DesignMethods of Passive Energy Dissipation Systems[J].Earthquake Engineering and Engineering Vibration,1998,18(2):98-107.
[9]KELLY J M.The Role of Damping in Seismic Isola-tion[J].Earthquake Engineering&Structural Dy-namics,1999,28(1):3-20.
[10]许红胜,周绪红,刘永健.钢结构交错桁架体系在强震作用下的破坏模式[J].建筑科学与工程学报,2007,24(2):63-67.XU Hong-sheng,ZHOU Xu-hong,LIU Yong-jian.Failure Mode of Staggered Truss System of SteelStructure Under Severe Earthquake[J].Journal ofArchitecture and Civil Engineering,2007,24(2):63-67.
[11]陈政清.斜拉索风雨振现场观测与振动控制[J].建筑科学与工程学报,2005,22(4):5-10.CHEN Zheng-qing.On-site Observation of Wind-rainInduced Vibration of Stay Cables and Its Control[J].Journal of Architecture and Civil Engineering,2005,22(4):5-10.
[12]FRANCHIN P,MONTI G,PINTO P E.On the Ac-curacy of Simplified Methods for the Analysis ofIsolated Bridges[J].Earthquake Engineering&Structural Dynamics,2001,30(3):363-382.
[13]俞瑞芳,周锡元.非比例阻尼弹性结构地震反应强迫解耦方法的理论背景和数值检验[J].工业建筑,2005,32(2):52-56.YU Rui-fang,ZHOU Xi-yuan.Theoretical and Nu-merical Research on Forced Uncoupling Method forSeismic Response of Non-classically Damped LinearSystem[J].Industrial Construction,2005,35(2):52-56.
[14]范立础.桥梁抗震[M].上海:同济大学出版社,1996.FAN Li-chu.Earthquake-resistance of Bridges[M].Shanghai:Tongji University Press,1996.
[15]蒋建军,李建中,范立础.桥梁板式橡胶支座与粘滞阻尼器组合使用的减震性能研究[J].公路交通科技,2005,22(8):44-48.JIANG Jian-jun,LI Jian-zhong,FAN Li-chu.Study onAseismic Performance of Combination of LaminatedRubber Bearing and Viscous Damper for Bridge[J].Journal of Highway and Transportation Research andDevelopment,2005,22(8):44-48.
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