行波效应对大跨度斜拉桥地震反应的影响
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摘要
为研究大跨度斜拉桥地震反应特性及行波效应对其影响,以某大跨度斜拉桥为例,依据D′Alembert基本原理,采用动态时程法计算结构动力位移和内力。选用2条不同频谱特性地震波,考虑不同视波速对大跨度斜拉桥地震反应的影响,重点研究行波效应对大跨度斜拉桥的地震反应影响,并与一致激励地震反应结果进行比较。结果表明:随着视波速的增大,各桥塔塔底内力、塔顶位移以及墩底内力的地震响应值有显著变化且趋近于一致激励地震响应;行波效应对主梁顺桥向轴力和塔顺桥向剪力有显著影响;在地震波加速度峰值(0.40g)相同的情况下,由于各条波之间频谱特性的不同,不同视波速输入下结构的地震反应存在一定的差异。
To study the seismic response characteristics and the influence of traveling wave effect on the seismic response of long-span cable-stayed bridge,a cable-stayed bridge of the same kind was cited as an example and in accordance with the fundamental principle of D′Alembert,the dynamic time-history method was used to calculate the dynamic displacement and internal forces of the structure.Two seismic waves with different spectrum characteristics were selected and in consideration of the influence of different apparent wave velocity on the seismic response of the long span cable-stayed bridge,the influence of the traveling wave effect on the seismic response of the bridge was particularly studied and was compared to the results of the seismic response of uniform excitation.The results of the study indicate that with the increase of the apparent wave velocity,the seismic response values of the internal forces of the pylon footings,the displacement of the pylon tops and the internal forces of the pier footings have significant changes and the values tend to approach the seismic response of uniform excitation.The traveling effect has significant influence on the axial force of the main girder and on the shear force of a pylon in the longitudinal direction of the bridge.In the case of the same acceleration peak value(0.40g) of the seismic wave,when the different apparent wave velocity are inputted,the seismic response of the structure has differences owing to the different frequency spectrum characteristics of the various waves.
To study the seismic response characteristics and the influence of traveling wave effect on the seismic response of long-span cable-stayed bridge,a cable-stayed bridge of the same kind was cited as an example and in accordance with the fundamental principle of D′Alembert,the dynamic time-history method was used to calculate the dynamic displacement and internal forces of the structure.Two seismic waves with different spectrum characteristics were selected and in consideration of the influence of different apparent wave velocity on the seismic response of the long span cable-stayed bridge,the influence of the traveling wave effect on the seismic response of the bridge was particularly studied and was compared to the results of the seismic response of uniform excitation.The results of the study indicate that with the increase of the apparent wave velocity,the seismic response values of the internal forces of the pylon footings,the displacement of the pylon tops and the internal forces of the pier footings have significant changes and the values tend to approach the seismic response of uniform excitation.The traveling effect has significant influence on the axial force of the main girder and on the shear force of a pylon in the longitudinal direction of the bridge.In the case of the same acceleration peak value(0.40g) of the seismic wave,when the different apparent wave velocity are inputted,the seismic response of the structure has differences owing to the different frequency spectrum characteristics of the various waves.
引文
[1]童申家,吴星,李纲.大跨钢管混凝土拱桥地震行波效应分析[J].桥梁建设,2008,(2):27-30.(TONG Shen-jia,WU Xing,LI Gang.Analysis ofSeismic Traveling Wave Effect on Long Span Concrete-Filled Steel Tube Arch Bridges[J].Bridge Construc-tion,2008,(2):27-30.in Chinese)
[2]胡志明,李精英,黄天一.基于行波效应的钢管混凝土拱桥地震反应分析[J].桥梁建设,2010,(1):25-28.(HU Zhi-ming,LI Jing-ying,HUANG Tian-yi.Seis-mic Response Analysis of Concrete-Filled Steel TubeArch Bridge Based on Traveling Wave Effect[J].Bridge Construction,2010,(1):25-28.in Chinese)
[3]吴陶晶,王斌斌.行波效应对三塔斜拉桥地震反应的影响[J].结构工程师,2009,25(5):78-82.(WU Tao-jing,WANG Bin-bin.Influences of Trave-ling Wave Effect on Seismic Response of There-PylonCable-Stayed Bridge[J].Structural Engineers,2009,25(5):78-82.in Chinese)
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[6]Abdel Raheem S E,Hayashikawa T.Parametric Studyon Steel Tower Seismic Response of Cable-StayedBridges Under Great Earthquake Ground Motion[J].Structural Engineering/Earthquake Engineering,2003,20(1):25-41.
[7]Alexander N A.Multi-Support Excitation of SingleSpan Bridges,Using Real Seismic Ground Motion Re-corded at the SMART-1 Array[J].Computers andStructures,2008,86(1):88-103.
[8]Allam S M,Datta T K.Seismic Behavior of Cable-Stayed Bridges Under Multi-Component RandomGround Motion[J].Engineering Structures,1999,21(1):62-74.
[9]Soyluk K,Domanoglu A A,Tuna M E.Random Vi-bration and Deterministic Analysis of Cable-StayedBridges to Asynchronous Ground Motion[J].Struc-tural Engineering and Mechanics,2004,18(2):231-246.
[10]李忠献,黄健,丁阳,等.不同地震激励下大跨度斜拉桥的地震反应分析[J].中国公路学报,2005,18(3):48-53.(LI Zhong-xian,HUANG Jian,DING Yang,et al.Seismic Responses of Long-Span Cable-Stayed Bridg-es Under Different Patterns of Earthquake Excitations[J].China Journal of Highway and Transport,2005,18(3):48-53.in Chinese)
[11]丁阳,林伟,李忠献.大跨度空间结构多维多点非平稳随机地震反应分析[J].工程力学,2007,24(3):97-103.(DING Yang,LIN Wei,LI Zhong-xian.Non-Sta-tionary Random Seismic Analysis of Long-Span Spa-tial Structures Under Multi-Support and Multi-Di-mensional Earthquake Excitations[J].EngineeringMechanics,2007,24(3):97-103.in Chinese)
[12]张永亮,徐聪,陈兴冲,等.行波效应对铁路斜拉桥地震反应的影响[J].兰州交通大学学报,2011,30(1):68-73.(ZHANG Yong-liang,XU Cong,CHEN Xing-chong,et al.The Influence of Traveling Wave Effecton Seismic Response of Railway Cable-Stayed Bridge[J].Journal of Lanzhou Jiaotong University,2011,30(1):68-73.in Chinese)
[13]喻明秋,祝兵.基于多点激励动力模型的支承体系斜拉桥行波效应分析[J].铁道工程学报,2008,122(11):39-44.(YU Ming-qiu,ZHU Bing.Traveling Wave EffectAnalysis of Cable-Stayed Bridge with Support SystemBased on Multiple Incentives Dynamic Model[J].Journal of Railway Engineering Society,2008,122(11):39-44.in Chinese)
[2]胡志明,李精英,黄天一.基于行波效应的钢管混凝土拱桥地震反应分析[J].桥梁建设,2010,(1):25-28.(HU Zhi-ming,LI Jing-ying,HUANG Tian-yi.Seis-mic Response Analysis of Concrete-Filled Steel TubeArch Bridge Based on Traveling Wave Effect[J].Bridge Construction,2010,(1):25-28.in Chinese)
[3]吴陶晶,王斌斌.行波效应对三塔斜拉桥地震反应的影响[J].结构工程师,2009,25(5):78-82.(WU Tao-jing,WANG Bin-bin.Influences of Trave-ling Wave Effect on Seismic Response of There-PylonCable-Stayed Bridge[J].Structural Engineers,2009,25(5):78-82.in Chinese)
[4]武芳文,薛成凤,赵雷.超大跨度斜拉桥考虑行波效应的地震动随机响应研究[J].地震学报,2010,32(2):193-202.(WU Fang-wen,XUE Cheng-feng,ZHAO Lei.Sto-chastic Seismic Response of Super-Long-Span Cable-Stayed Bridges Under Excitation of Traveling WaveEffect[J].Acta Seismologica Sinica,2010,32(2):193-202.in Chinese)
[5]Abdel-Ghaff A M,Nazmy A S.3-D Nonlinear SeismicBehavior of Cable-Stayed Bridges[J].Journal of Struc-tural Engineering,1991,117(11):3 456-3 476.
[6]Abdel Raheem S E,Hayashikawa T.Parametric Studyon Steel Tower Seismic Response of Cable-StayedBridges Under Great Earthquake Ground Motion[J].Structural Engineering/Earthquake Engineering,2003,20(1):25-41.
[7]Alexander N A.Multi-Support Excitation of SingleSpan Bridges,Using Real Seismic Ground Motion Re-corded at the SMART-1 Array[J].Computers andStructures,2008,86(1):88-103.
[8]Allam S M,Datta T K.Seismic Behavior of Cable-Stayed Bridges Under Multi-Component RandomGround Motion[J].Engineering Structures,1999,21(1):62-74.
[9]Soyluk K,Domanoglu A A,Tuna M E.Random Vi-bration and Deterministic Analysis of Cable-StayedBridges to Asynchronous Ground Motion[J].Struc-tural Engineering and Mechanics,2004,18(2):231-246.
[10]李忠献,黄健,丁阳,等.不同地震激励下大跨度斜拉桥的地震反应分析[J].中国公路学报,2005,18(3):48-53.(LI Zhong-xian,HUANG Jian,DING Yang,et al.Seismic Responses of Long-Span Cable-Stayed Bridg-es Under Different Patterns of Earthquake Excitations[J].China Journal of Highway and Transport,2005,18(3):48-53.in Chinese)
[11]丁阳,林伟,李忠献.大跨度空间结构多维多点非平稳随机地震反应分析[J].工程力学,2007,24(3):97-103.(DING Yang,LIN Wei,LI Zhong-xian.Non-Sta-tionary Random Seismic Analysis of Long-Span Spa-tial Structures Under Multi-Support and Multi-Di-mensional Earthquake Excitations[J].EngineeringMechanics,2007,24(3):97-103.in Chinese)
[12]张永亮,徐聪,陈兴冲,等.行波效应对铁路斜拉桥地震反应的影响[J].兰州交通大学学报,2011,30(1):68-73.(ZHANG Yong-liang,XU Cong,CHEN Xing-chong,et al.The Influence of Traveling Wave Effecton Seismic Response of Railway Cable-Stayed Bridge[J].Journal of Lanzhou Jiaotong University,2011,30(1):68-73.in Chinese)
[13]喻明秋,祝兵.基于多点激励动力模型的支承体系斜拉桥行波效应分析[J].铁道工程学报,2008,122(11):39-44.(YU Ming-qiu,ZHU Bing.Traveling Wave EffectAnalysis of Cable-Stayed Bridge with Support SystemBased on Multiple Incentives Dynamic Model[J].Journal of Railway Engineering Society,2008,122(11):39-44.in Chinese)
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