大跨度悬索桥颤振的三维精细化分析
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摘要
随着悬索桥跨径的增大,静风作用、缆索上的风荷载以及风速空间分布的非均匀性都随之明显增强,可能会对大跨度悬索桥的颤振稳定性构成不容忽视的影响。在线性颤振分析方法基础上,进一步考虑静风效应、风速空间非均匀分布和主缆气动力作用等因素建立了精细化的大跨度桥梁三维非线性颤振分析方法,并编制了相应的计算分析程序。以润扬长江大桥南汊悬索桥为例,通过精细化分析揭示了静风效应、风速空间分布非均匀性以及主缆气动力等因素对大跨度悬索桥颤振稳定性影响的规律和程度。结果表明:静风作用引起的结构动力特性尤其是空气力非线性变化、风速空间非对称性分布和主缆气动力等因素对大跨度悬索桥颤振稳定性的影响显著,必须在颤振分析予以准确考虑。
With the increase of span length of suspension bridges, the static wind action, the aerodynamic load acting on main cables and the spatial non-uniformity of wind speed increase consequently, which may have an unnegligible influence on the flutter stability of long-span suspension bridges. Based on the linear flutter analysis, a refined three-dimensional nonlinear flutter analytical method was presented in which the effects of the static wind action, spatial non-uniformity of wind speed and aerodynamic load acting on main cables were further considered, and the corresponding computational procedure was programmed. By taking Runyang Bridge over the Yangtze River as an example, the effects of the static wind action, wind speed spatial non-uniformity, and cable's aerodynamic load on the flutter stability of the bridge were investigated numerically by virtue of the refined flutter analysis. The results show that the variations of structural dynamic characteristics and nonlinearity of wind load caused by the static wind action, spatial non-symmetric distribution of wind speed and aerodynamic load acting on main cables have significant influences on the flutter stability of long-span suspension bridges, and therefore should be considered accurately in the flutter analysis.
With the increase of span length of suspension bridges, the static wind action, the aerodynamic load acting on main cables and the spatial non-uniformity of wind speed increase consequently, which may have an unnegligible influence on the flutter stability of long-span suspension bridges. Based on the linear flutter analysis, a refined three-dimensional nonlinear flutter analytical method was presented in which the effects of the static wind action, spatial non-uniformity of wind speed and aerodynamic load acting on main cables were further considered, and the corresponding computational procedure was programmed. By taking Runyang Bridge over the Yangtze River as an example, the effects of the static wind action, wind speed spatial non-uniformity, and cable's aerodynamic load on the flutter stability of the bridge were investigated numerically by virtue of the refined flutter analysis. The results show that the variations of structural dynamic characteristics and nonlinearity of wind load caused by the static wind action, spatial non-symmetric distribution of wind speed and aerodynamic load acting on main cables have significant influences on the flutter stability of long-span suspension bridges, and therefore should be considered accurately in the flutter analysis.
引文
[1]葛耀君.大跨度悬索桥抗风[M].北京:人民交通出版社,2011.
[2]张新军.大跨径悬索桥空气静力和动力分析的影响因素研究[J].计算力学学报,2007(3):285-288.ZHANG Xinjun.Influence of some factors on the aerostatic and aerodynamic analysis of long-span suspension bridges[J].Chinese Journal of Computational Mechanics,2007(3):285-288.
[3]张新军,陈艾荣,项海帆.影响大跨径悬索桥颤振的非线性因素研究[J].土木工程学报,2003,36(4):76-80.ZHANG Xinjun,CHEN Airong,XIANG Haifan.Study for nonlinear effects of flutter on long-span suspension bridges[J].China Civil Engineering Journal,2003,36(4):76-80.
[4]熊龙,廖海黎,马存明,等.静风效应对千米级悬索桥颤振的影响[J].华中科技大学学报(自然科学版),2016,44(12):44-49.XIONG Long,LIAO Haili,MA Cunming,et al.Study on aerostatic effects on flutter of kilometer level suspension bridge[J].Journal of Huazhong University of Science and Technology(Natural Science),2016,44(12):44-49.
[5]欧阳克俭,陈政清.附加攻角效应对颤振稳定性能影响[J].振动与冲击,2015,34(2):45-49.OUYANG Kejian,CHEN Zhengqing.Influence of static wind additive attack angle on flutter performance of bridges[J].Journal of Vibration and Shock,2015,34(2):45-49.
[6]乔世奇.大跨度悬索桥的颤振分析[J].兰州交通大学学报,2016,35(4):6-10.QIAO Shiqi.Flutter analysis of long-span suspension bridges[J].Journal of Lanzhou Jiaotong University,2016,35(4):6-10.
[7]祝志文,何树林,华旭刚.PC板式加劲梁悬索桥三维颤振特性分析[J].振动与冲击,2012,31(3):13-17.ZHU Zhiwen,HE Shulin,HUA Xugang.Three-dimensional flutter analysis of a suspension bridge with PC slab stiffening girder[J].Journal of Vibration and Shock,2012,31(3):13-17.
[8]邵亚会,葛耀君,柯世堂,等.5 000 m特大跨度悬索桥空气动力稳定性能理论研究[J].实验流体力学,2012,26(1):30-36.SHAO Yahui,GE Yaojun,KE Shitang,et al.Theoretical research on the aerodynamic stability of super long-span suspension bridge with main span of 5 000 m[J].Journal of Experiments in Fluid Mechanics,2012,26(1):30-36.
[9]邵亚会,葛耀君,柯世堂.超大跨度悬索桥二维颤振频域直接分析方法[J].哈尔滨工业大学学报,2011,43(8):119-123.SHAO Yahui,GE Yaojun,KE Shitang.Straight forward method for two-dimensional flutter analysis of super-long-span suspension bridge in frequency domain[J].Journal of Harbin Institute of Technology,2011,43(8):119-123.
[10]GE Yaojun,TANAKA H.Aerodynamic flutter analysis of cable-supported bridges by multi-mode and full-mode approaches[J].Journal of Wind Engineering and Industrial Aerodynamics,2000,86:123-153.
[11]夏锦林,曹丰产,葛耀君.双开槽箱梁断面悬索桥的抗风性能及气动措施研究[J].振动与冲击,2017,36(10):69-75.XIA Jinlin,CAO Fengchan,GE Yaojun.Wind performance of a double-slotting suspension bridge and its aerodynamic control measures[J].Journal of Vibration and Shock,2017,36(10):69-75.
[12]SCANLAN R H,JONES N P.Aeroelastic analysis of cablestayed bridges[J].Journal of Structural Engineering,1990,116(2):279-297.
[13]陈艾荣,宋锦忠.润扬长江大桥抗风性能研究报告[R].上海:同济大学,2000.
[14]公路桥梁抗风设计规范:JTG/T D60-01-2004[S].北京:人民交通出版社,2004.
[2]张新军.大跨径悬索桥空气静力和动力分析的影响因素研究[J].计算力学学报,2007(3):285-288.ZHANG Xinjun.Influence of some factors on the aerostatic and aerodynamic analysis of long-span suspension bridges[J].Chinese Journal of Computational Mechanics,2007(3):285-288.
[3]张新军,陈艾荣,项海帆.影响大跨径悬索桥颤振的非线性因素研究[J].土木工程学报,2003,36(4):76-80.ZHANG Xinjun,CHEN Airong,XIANG Haifan.Study for nonlinear effects of flutter on long-span suspension bridges[J].China Civil Engineering Journal,2003,36(4):76-80.
[4]熊龙,廖海黎,马存明,等.静风效应对千米级悬索桥颤振的影响[J].华中科技大学学报(自然科学版),2016,44(12):44-49.XIONG Long,LIAO Haili,MA Cunming,et al.Study on aerostatic effects on flutter of kilometer level suspension bridge[J].Journal of Huazhong University of Science and Technology(Natural Science),2016,44(12):44-49.
[5]欧阳克俭,陈政清.附加攻角效应对颤振稳定性能影响[J].振动与冲击,2015,34(2):45-49.OUYANG Kejian,CHEN Zhengqing.Influence of static wind additive attack angle on flutter performance of bridges[J].Journal of Vibration and Shock,2015,34(2):45-49.
[6]乔世奇.大跨度悬索桥的颤振分析[J].兰州交通大学学报,2016,35(4):6-10.QIAO Shiqi.Flutter analysis of long-span suspension bridges[J].Journal of Lanzhou Jiaotong University,2016,35(4):6-10.
[7]祝志文,何树林,华旭刚.PC板式加劲梁悬索桥三维颤振特性分析[J].振动与冲击,2012,31(3):13-17.ZHU Zhiwen,HE Shulin,HUA Xugang.Three-dimensional flutter analysis of a suspension bridge with PC slab stiffening girder[J].Journal of Vibration and Shock,2012,31(3):13-17.
[8]邵亚会,葛耀君,柯世堂,等.5 000 m特大跨度悬索桥空气动力稳定性能理论研究[J].实验流体力学,2012,26(1):30-36.SHAO Yahui,GE Yaojun,KE Shitang,et al.Theoretical research on the aerodynamic stability of super long-span suspension bridge with main span of 5 000 m[J].Journal of Experiments in Fluid Mechanics,2012,26(1):30-36.
[9]邵亚会,葛耀君,柯世堂.超大跨度悬索桥二维颤振频域直接分析方法[J].哈尔滨工业大学学报,2011,43(8):119-123.SHAO Yahui,GE Yaojun,KE Shitang.Straight forward method for two-dimensional flutter analysis of super-long-span suspension bridge in frequency domain[J].Journal of Harbin Institute of Technology,2011,43(8):119-123.
[10]GE Yaojun,TANAKA H.Aerodynamic flutter analysis of cable-supported bridges by multi-mode and full-mode approaches[J].Journal of Wind Engineering and Industrial Aerodynamics,2000,86:123-153.
[11]夏锦林,曹丰产,葛耀君.双开槽箱梁断面悬索桥的抗风性能及气动措施研究[J].振动与冲击,2017,36(10):69-75.XIA Jinlin,CAO Fengchan,GE Yaojun.Wind performance of a double-slotting suspension bridge and its aerodynamic control measures[J].Journal of Vibration and Shock,2017,36(10):69-75.
[12]SCANLAN R H,JONES N P.Aeroelastic analysis of cablestayed bridges[J].Journal of Structural Engineering,1990,116(2):279-297.
[13]陈艾荣,宋锦忠.润扬长江大桥抗风性能研究报告[R].上海:同济大学,2000.
[14]公路桥梁抗风设计规范:JTG/T D60-01-2004[S].北京:人民交通出版社,2004.
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