斜拉桥地震响应分析中比例阻尼参考振型的选取
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摘要
为了研究比例阻尼参考振型选取对斜拉桥地震响应分析结果的影响,应用考虑结构阻尼比分布影响的振型应变能比例阻尼理论,选取不同Rayleigh阻尼比参考振型进行了比较分析。根据反应谱的概念提出了一种比例阻尼参考振型选取的重要度指标,应用应变能比例阻尼理论得到振型阻尼比,将其作为已知条件,以杭州湾跨海大桥北航道桥设计方案(斜拉桥)为背景,研究了比例阻尼参考振型选取的重要度指标及其适用性。结果表明:大跨度斜拉桥阻尼比组成复杂,各阶振型的阻尼比差别较大,分布很不均匀,很难利用少数几个参考振型的阻尼比全面反映斜拉桥的阻尼比特性。
In order to study the influence of reference vibration shape selection of proportional damping on the seismic response analysis results of cable-stayed bridges,using modal strain energy ratio damping theory,different Rayleigh damping reference vibration shape were compared.A significant index of reference vibration shape in proportional damping was proposed based on the concept of response spectrum.On the assumption that the vibration shape damping ratios were known based on strain energy proportional damping theory,the same cable-stayed bridge was used to study the applicability of the significant index for the selection of reference vibration shapes in proportional damping,which supplied criterion and reference to the selection of reference modes of proportional damping in the Northern Channel Bridge of Hangzhou Bay Bridge seismic analysis.Results show that the damping composition of large span cable-stayed bridge is complicated;the vibration shape damping ratios have great differences and their distributions are uneven.It is hard to describe the damping ratio property of cable-stayed bridges by damping ratios of several vibration shapes.
In order to study the influence of reference vibration shape selection of proportional damping on the seismic response analysis results of cable-stayed bridges,using modal strain energy ratio damping theory,different Rayleigh damping reference vibration shape were compared.A significant index of reference vibration shape in proportional damping was proposed based on the concept of response spectrum.On the assumption that the vibration shape damping ratios were known based on strain energy proportional damping theory,the same cable-stayed bridge was used to study the applicability of the significant index for the selection of reference vibration shapes in proportional damping,which supplied criterion and reference to the selection of reference modes of proportional damping in the Northern Channel Bridge of Hangzhou Bay Bridge seismic analysis.Results show that the damping composition of large span cable-stayed bridge is complicated;the vibration shape damping ratios have great differences and their distributions are uneven.It is hard to describe the damping ratio property of cable-stayed bridges by damping ratios of several vibration shapes.
引文
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[14]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.
[15]YAMAGUCHI H,JAYAWARDENA L.AnalyticalEstimation of Structural Damping in Cable Structures[J].Journal of Wind Engineering and Industrial Aero-dynamics,1992(41/44):1961-1972.
[16]布占宇,吕忠达,徐爱敏,等.考虑索局部振动的斜拉桥动力特性研究———杭州湾跨海大桥北航道桥动力特性分析[J].浙江大学学报:工学版,2005,39(1):143-147.BU Zhan-yu,LU Zhong-da,XU Ai-min,et al.Dynam-ic Characteristic Research of Cable-stayed BridgesConsidering Cable Local Vibration:Dynamic BehaviorAnalysis of Northern Channel Bridge in HangzhouBay[J].Journal of Zhejiang University:EngineeringScience,2005,39(1):143-147.
[2]梁鹏,肖汝诚,徐岳.超大跨度斜拉桥的安装构形与无应力构形[J].长安大学学报:自然科学版,2006,26(4):49-53.LIANG Peng,XIAO Ru-cheng,XU Yue.AssembledGeometry and Unstrained Geometry of Super LongSpan Cable-stayed Bridges[J].Journal of Chang anUniversity:Natural Science Edition,2006,26(4):49-53.
[3]CLOUGH R W,PENZIEN J.Dynamics of Structures[M].2nd ed.New York:McGraw-Hill College,1993.
[4]KAWASHIMA K,UNJOH S,AZUTA Y.Analysisof Damping Characteristics of a Cable Stayed BridgeBased on Strong Motion Records[J].Structure Engin-eering and Earthquake Engineering,1990,7(1):169-178.
[5]KAWASHIMA K,UNJOH S,TSUNOMOTO M.Estimation of Damping Ratio of Cable-stayed Bridgesfor Seismic Design[J].Journal of Structural Engineer-ing,1993,119(4):1015-1031.
[6]YAMAGUCHI H,ITO M.Mode-dependence of Struc-tural Damping in Cable-stayed Bridges[J].Journal ofWind Engineering and Industrial Aerodynamics,1997,72(1):289-300.
[7]Japan Road Association.Design Specifications ofHighway Bridges-Part V:Seismic Design[M].To-kyo:Maruzen Publishing Co.Ltd,2002.
[8]周勇军,彭晓彬,赵煜,等.简支梁桥顺桥向地震动分析[J].交通运输工程学报,2007,7(6):86-89.ZHOU Yong-jun,PENG Xiao-bin,ZHAO Yu,et al.Analysis of Longitudinal Seismic Vibration for Simp-ly-supported Beam Bridge[J].Journal of Traffic andTransportation Engineering,2007,7(6):86-89.
[9]周勇军,赵小星,宋一凡,等.连续梁桥模态分析与试验[J].长安大学学报:自然科学版,2007,27(3):57-60.ZHOU Yong-jun,ZHAO Xiao-xing,SONG Yi-fan,et al.Modal Analysis and Experiment Test of Contin-uous Beam Bridge[J].Journal of Chang an Univer-sity:Natural Science Edition,2007,27(3):57-60.
[10]陈水生,万益春,野田尚昭.隔震桥梁地震响应非线性分析[J].长安大学学报:自然科学版,2006,26(1):54-58.CHEN Shui-sheng,WAN Yi-chun,NODA N.Nonlin-ear Response of Isolated-bridge Subjected to SeismicExcitation[J].Journal of Chang an University:Nat-ural Science Edition,2006,26(1):54-58.
[11]邰扣霞,丁大钧.中国桥梁建设新飞跃[J].建筑科学与工程学报,2006,23(2):30-40.TAI Kou-xia,DING Da-jun.New Leaps in Construc-tion of Bridges in China[J].Journal of Architectureand Civil Engineering,2006,23(2):30-40.
[12]CAUGHEY T K.Classical Normal Modes in DampedLinear Dynamic Systems[J].Journal of AppliedMechanics,1960,27:269-271.
[13]谭平,周福霖.结构主动变刚度.阻尼控制系统及其优化设计[J].建筑科学与工程学报,2007,24(2):6-12.TAN Ping,ZHOU Fu-lin.Structural Active VariableStiffness.Damping Control System and Its OptimalDesign[J].Journal of Architecture and Civil Engin-eering,2007,24(2):6-12.
[14]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.
[15]YAMAGUCHI H,JAYAWARDENA L.AnalyticalEstimation of Structural Damping in Cable Structures[J].Journal of Wind Engineering and Industrial Aero-dynamics,1992(41/44):1961-1972.
[16]布占宇,吕忠达,徐爱敏,等.考虑索局部振动的斜拉桥动力特性研究———杭州湾跨海大桥北航道桥动力特性分析[J].浙江大学学报:工学版,2005,39(1):143-147.BU Zhan-yu,LU Zhong-da,XU Ai-min,et al.Dynam-ic Characteristic Research of Cable-stayed BridgesConsidering Cable Local Vibration:Dynamic BehaviorAnalysis of Northern Channel Bridge in HangzhouBay[J].Journal of Zhejiang University:EngineeringScience,2005,39(1):143-147.
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