考虑阻尼值修正的双链式悬索桥地震响应分析
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摘要
基于复阻尼理论求解等效粘滞阻尼比,以近似描述非经典阻尼体系的阻尼耗能特性,提出了考虑实测阻尼值修正的具有非经典阻尼特性的双链式悬索桥地震响应分析方法。结合一双链式悬索桥,对比分析经典阻尼及非经典阻尼对双链式悬索桥地震响应的影响。研究结果表明:非经典阻尼对双链式悬索桥的地震响应有明显的影响,用经典阻尼模型得不出可靠的解,双链式悬索桥的地震响应分析,应当使用非经典阻尼模型;在初步分析时,纵、竖向地震下非经典阻尼体系的地震响应可分别按全桥混凝土桥塔阻尼比、钢加劲梁阻尼比计算结果代替,以简化计算。
Based on the complex damping theory to get the equivalent viscous damping ratio,which was used to describe energy dissipation characteristics of non-classical damping system approximately,a method was proposed to analyze seismic response of double chains suspension bridge considering non-classical damping modified by measured value.Through an example of double chains suspension bridge,the influence of different damping forms on seismic response of double chains suspension bridge was analyzed,which considering classical damping and non-classical damping respectively.The results show that non-classical damping has a significant effect on the seismic response of double chains suspension bridge,and response based on the classical damping model is not reliable.Non-classical damping model should be used in seismic analysis of double chains suspension bridge,however,the seismic response of non-classical damping system under the longitudinal or vertical seismic wave can be substituted approximately by the seismic response calculated according to damping ratio of concrete tower and steel stiffening girder respectively,which can simplify the calculation during preliminary analysis.
Based on the complex damping theory to get the equivalent viscous damping ratio,which was used to describe energy dissipation characteristics of non-classical damping system approximately,a method was proposed to analyze seismic response of double chains suspension bridge considering non-classical damping modified by measured value.Through an example of double chains suspension bridge,the influence of different damping forms on seismic response of double chains suspension bridge was analyzed,which considering classical damping and non-classical damping respectively.The results show that non-classical damping has a significant effect on the seismic response of double chains suspension bridge,and response based on the classical damping model is not reliable.Non-classical damping model should be used in seismic analysis of double chains suspension bridge,however,the seismic response of non-classical damping system under the longitudinal or vertical seismic wave can be substituted approximately by the seismic response calculated according to damping ratio of concrete tower and steel stiffening girder respectively,which can simplify the calculation during preliminary analysis.
引文
[1]雷俊卿.悬索桥设计[M].北京:人民交通出版社.2001.LEI Jun-qing.Suspension bridge design[M].Beijing:Chi-na Communication Press,2001.
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[3]Huang M H,Thambiratnam D P,Perera N J.Vibrationcharacteristics of shallow suspension bridge with pre-ten-sioned cables[J].Engineering Structures,2005,27(13):1220-1233.
[4]李志岭,秦权.用RITZ法分析江阴悬索桥地震反应的影响[J].工程力学,2003,20(1):32-36.LI Zhi-ling,QIN Quan.RITZ method for seismic responseanalysis of Jiangyin suspended bridge with non-classicaldamping[J].Engineering Mechanics,2003,20(1):32-36.
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[6]秦权,楼磊.非经典阻尼对悬索桥地震反应的影响[J].土木工程学报,1999,32(3):18-22.QIN Quan,LOU Lei.Influences of non-classic dampingon seismic responses of suspension bridges[J].China CivilEngineering Journal,1997,32(3):17-22.
[7]王建有,陈健云.基于复模态的非比例阻尼结构参数识别研究[J].哈尔滨工业大学学报,2005,37(12):1647-1649.WANG Jian-you,CHEN Jian-yun.Study on parameters i-dentification of non-proportional damping based on com-plex modes[J].Journal of Harbin Institute of Technology,2005,37(12):1647-1649.
[8]周锡元,董娣,苏幼坡.非正交阻尼线性振动系统的复振型地震响应叠加分析方法[J].土木工程学报,2003,36(5):31-36.ZHOU Xi-yuan,DONG Di,SU You-po.New method forlinear systems with non-classical damping under groundmotion[J].China Civil Engineering Journal,2003,36(5):31-36.
[9]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背景和数值检验[J].工业建筑,2005,35(2):52-56.YU Rui-fang,ZHOU Xi-yuan.Theoretical and numericalresearch on forced uncoupling method for seismic responseof non-classically damped linear system[J].IndustrialConstruction,2005,35(2):52-56.
[10]桂国庆,何玉敖.非比例阻尼结构体系近似解耦分析中的误差分析[J].工程力学,1994(4):40-50.GUI Guo-qing,HE Yu-ao.Study on errors of approxima-ted decoupling analysis for non-proportionally dampedstructural systems[J].Engineering Mechanics,1994(4):40-50.
[11]龚炳年,郝锐坤,赵宁.钢-混凝土混合结构模型动力特性的试验研究[J],建筑结构学报,1995,16(3):37-43.GONG Bing-nian,HAO Rui-kun,ZHAO Ning.Experi-mental investigations of the dynamic characteristics of a23-storey steel-RC mixed structure model[J].Journalof Building Structures,1995,16(3):37-43.
[12]Davenport A G,Larose G.The structural damping oflong span bridges:an interpretation of observations[C]//Proc.of canada-japan workshop on bridge aero-dynamics.Ottawa Canada,September 1989,111-118.
[13]郭震山,陈艾荣,项海帆.大跨缆索承重桥梁的结构阻尼特性[J].世界地震工程,2000,16(3):52-57.GUO Zhen-shan,CHEN Ai-rong,XIANG Hai-fan.Charaeteristics of struetural damping of cable-supportedbridges with long spans[J].World Information on Earth-quake Engineering,2000,16(3):52-57.
[14]邓育林,贾贤盛.大跨度悬索桥地震反应中高阶振型的影响分析[J].工程抗震与加固改造,2008,30(2):24-24,81.DENG Yu-lin,JIA Xian-sheng.Effect of higher frequen-cy models of vibration on seismic response of long-spansuspension bridge[J].Earthquake Resistant Engineeringand Retrofitting,2008,30(2):24-24,81.
[15]秦权,罗颖,孙浩.悬索桥上部结构的抗震设计[J].清华大学学报:自然科学版,1998,38(12):52-56.QIN Quan,LUO Ying,SUN Hao.Seismic design of sus-pension bridge superstructures[J].Journal of TsinghuaUniversity:Sci&Tech,1998,38(12):52-56.
[2]林丽霞,吴亚平,丁南宏.双索悬索桥结构参数对自振特性的影响分析[J].铁道学报,2007,29(4):91-95.LIN Li-xia,WU Ya-ping,DING Nan-hong.Influence ofstructure parameters on natural vibration characteristics ofdouble-cable suspension bridge[J].Journal of the ChinaRailway Society,2007,29(4):91-95.
[3]Huang M H,Thambiratnam D P,Perera N J.Vibrationcharacteristics of shallow suspension bridge with pre-ten-sioned cables[J].Engineering Structures,2005,27(13):1220-1233.
[4]李志岭,秦权.用RITZ法分析江阴悬索桥地震反应的影响[J].工程力学,2003,20(1):32-36.LI Zhi-ling,QIN Quan.RITZ method for seismic responseanalysis of Jiangyin suspended bridge with non-classicaldamping[J].Engineering Mechanics,2003,20(1):32-36.
[5]Arzoumanidis S,Shama Y,Ostadan A.Performance-based seismic analysis and design of suspension bridges[J].Earthquake Engng Struct Dyn,2005,34(1):349-317.
[6]秦权,楼磊.非经典阻尼对悬索桥地震反应的影响[J].土木工程学报,1999,32(3):18-22.QIN Quan,LOU Lei.Influences of non-classic dampingon seismic responses of suspension bridges[J].China CivilEngineering Journal,1997,32(3):17-22.
[7]王建有,陈健云.基于复模态的非比例阻尼结构参数识别研究[J].哈尔滨工业大学学报,2005,37(12):1647-1649.WANG Jian-you,CHEN Jian-yun.Study on parameters i-dentification of non-proportional damping based on com-plex modes[J].Journal of Harbin Institute of Technology,2005,37(12):1647-1649.
[8]周锡元,董娣,苏幼坡.非正交阻尼线性振动系统的复振型地震响应叠加分析方法[J].土木工程学报,2003,36(5):31-36.ZHOU Xi-yuan,DONG Di,SU You-po.New method forlinear systems with non-classical damping under groundmotion[J].China Civil Engineering Journal,2003,36(5):31-36.
[9]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背景和数值检验[J].工业建筑,2005,35(2):52-56.YU Rui-fang,ZHOU Xi-yuan.Theoretical and numericalresearch on forced uncoupling method for seismic responseof non-classically damped linear system[J].IndustrialConstruction,2005,35(2):52-56.
[10]桂国庆,何玉敖.非比例阻尼结构体系近似解耦分析中的误差分析[J].工程力学,1994(4):40-50.GUI Guo-qing,HE Yu-ao.Study on errors of approxima-ted decoupling analysis for non-proportionally dampedstructural systems[J].Engineering Mechanics,1994(4):40-50.
[11]龚炳年,郝锐坤,赵宁.钢-混凝土混合结构模型动力特性的试验研究[J],建筑结构学报,1995,16(3):37-43.GONG Bing-nian,HAO Rui-kun,ZHAO Ning.Experi-mental investigations of the dynamic characteristics of a23-storey steel-RC mixed structure model[J].Journalof Building Structures,1995,16(3):37-43.
[12]Davenport A G,Larose G.The structural damping oflong span bridges:an interpretation of observations[C]//Proc.of canada-japan workshop on bridge aero-dynamics.Ottawa Canada,September 1989,111-118.
[13]郭震山,陈艾荣,项海帆.大跨缆索承重桥梁的结构阻尼特性[J].世界地震工程,2000,16(3):52-57.GUO Zhen-shan,CHEN Ai-rong,XIANG Hai-fan.Charaeteristics of struetural damping of cable-supportedbridges with long spans[J].World Information on Earth-quake Engineering,2000,16(3):52-57.
[14]邓育林,贾贤盛.大跨度悬索桥地震反应中高阶振型的影响分析[J].工程抗震与加固改造,2008,30(2):24-24,81.DENG Yu-lin,JIA Xian-sheng.Effect of higher frequen-cy models of vibration on seismic response of long-spansuspension bridge[J].Earthquake Resistant Engineeringand Retrofitting,2008,30(2):24-24,81.
[15]秦权,罗颖,孙浩.悬索桥上部结构的抗震设计[J].清华大学学报:自然科学版,1998,38(12):52-56.QIN Quan,LUO Ying,SUN Hao.Seismic design of sus-pension bridge superstructures[J].Journal of TsinghuaUniversity:Sci&Tech,1998,38(12):52-56.
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