中塔对大跨度三塔连跨悬索桥抖振性能的影响
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摘要
为探讨中塔对大跨度三塔连跨悬索桥抖振性能的影响,以世界第一大跨度三塔连跨悬索桥——泰州大桥为研究对象,通过基于有限元的结构非线性时域分析,研究了中塔型式和中塔纵向刚度对大跨度三塔连跨悬索桥风致抖振响应的影响。实测模态参数与计算模态参数的对比验证了所建立有限元模型的准确性。研究结果表明:相比人型中塔,A型中塔可显著降低主梁扭转抖振位移并削弱竖向与横向位移响应;主梁侧向抖振位移几乎不受中塔纵向刚度的影响,增加中塔纵向刚度可以一定程度上抑制主梁竖向及扭转抖振位移响应;中塔纵向刚度变化对边塔平动抖振位移影响微弱,在一定范围内增加中塔纵向刚度可以显著降低中塔顺桥向平动和扭转抖振位移,同时在略微增加边塔扭转抖振位移的前提下可以一定程度上抑制中塔横桥向平动抖振位移。
In order to investigate the influence of a mid-tower on the buffeting performance of a long-span triple-tower suspension bridge with continuous span,the first triple-tower suspension bridge in the world,the Taizhou Bridge,is taken as the research object.The influences of the type and longitudinal stiffness of a mid-tower on wind-induced buffeting responses of the long-span triple-tower suspension bridge with continuous span are studied using structural nonlinear time-domain analysis accompanied by a finite element model.The comparison between calculated and measured modal parameters of the Taizhou Bridge validates the accuracy of the established finite element model.The results show that an A-type mid-tower can significantly decrease the torsional buffeting displacements of the main girder with slightly suppressed vertical and lateral displacements when compared to a herringbone-type mid-tower.Increasing the longitudinal stiffness of the mid-tower can decrease the vertical and torsional buffeting displacements of the main girder to some extent,while hardly affecting the lateral displacements.Variation in the longitudinal stiffness of the mid-tower has feeble influence on the translational buffeting displacements of the side tower.The torsional displacement and displacement along the bridge deck are prominently decreased with the increment of longitudinal stiffness of the mid-tower with limits.Meanwhile,increased longitudinal stiffness of the mid-tower will slightly augment the torsional buffeting displacement of the side tower,and can positively suppress lateral buffeting displacement of the mid-tower to some extent.
In order to investigate the influence of a mid-tower on the buffeting performance of a long-span triple-tower suspension bridge with continuous span,the first triple-tower suspension bridge in the world,the Taizhou Bridge,is taken as the research object.The influences of the type and longitudinal stiffness of a mid-tower on wind-induced buffeting responses of the long-span triple-tower suspension bridge with continuous span are studied using structural nonlinear time-domain analysis accompanied by a finite element model.The comparison between calculated and measured modal parameters of the Taizhou Bridge validates the accuracy of the established finite element model.The results show that an A-type mid-tower can significantly decrease the torsional buffeting displacements of the main girder with slightly suppressed vertical and lateral displacements when compared to a herringbone-type mid-tower.Increasing the longitudinal stiffness of the mid-tower can decrease the vertical and torsional buffeting displacements of the main girder to some extent,while hardly affecting the lateral displacements.Variation in the longitudinal stiffness of the mid-tower has feeble influence on the translational buffeting displacements of the side tower.The torsional displacement and displacement along the bridge deck are prominently decreased with the increment of longitudinal stiffness of the mid-tower with limits.Meanwhile,increased longitudinal stiffness of the mid-tower will slightly augment the torsional buffeting displacement of the side tower,and can positively suppress lateral buffeting displacement of the mid-tower to some extent.
引文
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[2]Scanlan R H.The action of flexible bridge under wind.part 2:buffeting theory[J].Journal of Sound and Vibration,1978,160(2):201-211.
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[4]陈政清.桥梁风工程[M].北京:人民交通出版社,2005:100-126.
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[10]王浩,程怀宇,陶天友,等.结构关键参数对三塔悬索桥动力特性的影响[J].振动、测试与诊断,2014,34(2):261-267.Wang Hao,Cheng Huaiyu,Tao Tianyou,et al.Influences of key structural parameters on dynamic characteristics of a tripe-tower suspension bridge[J].Journal of Vibration,Measurement and Diagnosis,2014,34(2):261-267.(in Chinese)
[11]张劲泉,李万恒,樊平,等.多塔连跨悬索桥模型试验与分析技术[M].北京:人民交通出版社,2013:153-155.
[12]Wang H,Zong Z H,Li A Q,et al.Digital simulation of 3Dturbulence wind field of Sutong Bridge based on measured wind spectra[J].Journal of Zhejiang University-Science A Applied Physics&Engineering,2012,13(2):91-104.
[13]Deodatis G.Simulation of ergodic multivariate stochastic processes[J].Journal of Engineering Mechanics,1996,122(8):778-787.
[14]中交公路规划设计院.公路桥梁抗风设计规范[S].北京:人民交通出版社,2004:46-47.
[15]Kaimal J C.Spectral characteristics of surface layer turbulence[J].Journal of the Royal Metaorological Society,1972,98(1):563-589.
[16]Panofsky H A,McCormick R A.The spectrum of vertical velocity near the surface[J].Journal of the Royal Metaorological Society,1960,86(370):546-564.
[17]贺艺华,蒋友宝,张建仁.考虑相位角的脉动风场模拟[J].工程力学,2008,25(12):25-29.He Yihua,Jiang Youbao,Zhang Jianren.Simulation of turbulent wind field with phase angle[J].Engineering Mechanics,2008,25(12):25-29.(in Chinese)
[18]Scanlan R H.Problematic in formulation of wind-force model for bridge decks[J].Journal of Structural Engineering,1993,119(7):1433-1446.
[19]华旭刚,陈政清,祝志文.在ANSYS中实现颤振时程分析的方法[J].中国公路学报,2002,15(4):32-34.Hua Xugang,Chen Zhengqing,Zhu Zhiwen.Approach of time-history analysis of flutter in ANSYS[J].China Journal of Highway and Transport,2002,15(4):32-34.(in Chinese)
[2]Scanlan R H.The action of flexible bridge under wind.part 2:buffeting theory[J].Journal of Sound and Vibration,1978,160(2):201-211.
[3]项海帆.现代桥梁抗风理论与实践[M].北京:人民交通出版社,2005:51-80.
[4]陈政清.桥梁风工程[M].北京:人民交通出版社,2005:100-126.
[5]王浩,李爱群,焦常科.桥塔风效应对大跨度悬索桥抖振响应的影响[J].振动与冲击,2010,29(8):103-106.Wang Hao,Li Aiqun,Jiao Changke.Bridge tower wind effects on buffeting response of long-span suspension bridges[J].Journal of Vibration and Shock,2010,29(8):103-106.(in Chinese)
[6]李永乐,廖海黎,强士中.考虑桥塔风效应的斜拉桥时域抖振分析[J].空气动力学学报,2005,23(2):228-233.Li Yongle,Liao Haili,Qiang Shizhong.Effect of pylon stochastic wind field on buffeting response of long cable-stayed bridge[J].Acta Aerodynamica Sinica,2005,23(2):228-233.(in Chinese)
[7]张新军,赵孝平.三塔悬索桥的抗风稳定性研究[J].公路,2008(11):67-71.Zhang Xinjun,Zhao Xiaoping.A study on wind stability of three-tower suspension bridges[J].Highway,2008(11):67-71.(in Chinese)
[8]王浩,陶天友,郭彤,等.基于实测与规范风谱的三塔悬索桥抖振性能对比[J].东南大学学报:自然科学版,2013,43(5):986-992.Wang Hao,Tao Tianyou,Guo Tong,et al.Comparable study on buffeting performance of triple-tower suspension bridge based on measured wind spectrum and specification wind spectrum[J].Journal of Southeast University:Natural Science Edition,2013,43(5):986-992.(in Chinese)
[9]Ernst H J.Der e-modul von seilen unter berücksichtigung des durchhanges[J].Der Bauingenieur,1965,40(2):52-55.(in German)
[10]王浩,程怀宇,陶天友,等.结构关键参数对三塔悬索桥动力特性的影响[J].振动、测试与诊断,2014,34(2):261-267.Wang Hao,Cheng Huaiyu,Tao Tianyou,et al.Influences of key structural parameters on dynamic characteristics of a tripe-tower suspension bridge[J].Journal of Vibration,Measurement and Diagnosis,2014,34(2):261-267.(in Chinese)
[11]张劲泉,李万恒,樊平,等.多塔连跨悬索桥模型试验与分析技术[M].北京:人民交通出版社,2013:153-155.
[12]Wang H,Zong Z H,Li A Q,et al.Digital simulation of 3Dturbulence wind field of Sutong Bridge based on measured wind spectra[J].Journal of Zhejiang University-Science A Applied Physics&Engineering,2012,13(2):91-104.
[13]Deodatis G.Simulation of ergodic multivariate stochastic processes[J].Journal of Engineering Mechanics,1996,122(8):778-787.
[14]中交公路规划设计院.公路桥梁抗风设计规范[S].北京:人民交通出版社,2004:46-47.
[15]Kaimal J C.Spectral characteristics of surface layer turbulence[J].Journal of the Royal Metaorological Society,1972,98(1):563-589.
[16]Panofsky H A,McCormick R A.The spectrum of vertical velocity near the surface[J].Journal of the Royal Metaorological Society,1960,86(370):546-564.
[17]贺艺华,蒋友宝,张建仁.考虑相位角的脉动风场模拟[J].工程力学,2008,25(12):25-29.He Yihua,Jiang Youbao,Zhang Jianren.Simulation of turbulent wind field with phase angle[J].Engineering Mechanics,2008,25(12):25-29.(in Chinese)
[18]Scanlan R H.Problematic in formulation of wind-force model for bridge decks[J].Journal of Structural Engineering,1993,119(7):1433-1446.
[19]华旭刚,陈政清,祝志文.在ANSYS中实现颤振时程分析的方法[J].中国公路学报,2002,15(4):32-34.Hua Xugang,Chen Zhengqing,Zhu Zhiwen.Approach of time-history analysis of flutter in ANSYS[J].China Journal of Highway and Transport,2002,15(4):32-34.(in Chinese)