两类悬索桥吊索气动稳定性比较研究
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摘要
大跨度悬索桥吊索常发生大幅风致振动,一种可能的机理为吊索索股间的尾流致振。为研究吊索表面粗糙度对其气动稳定性的影响,分别针对平行钢丝吊索和钢绞线吊索,制作表面光滑、粗糙索股模型,进行测力风洞试验,得到光滑和粗糙下游索股的平均气动力系数,在此基础上,依据Routh-Hurwitz稳定性判据,对平行钢丝吊索和钢绞线吊索的气动失稳区域进行比较研究。结果表明:平行钢丝吊索与钢绞线吊索的平均气动力系数空间分布特征存在较明显区别;两种吊索的不稳定区域整体上呈条带状,宽度约为1～2D,且平行钢丝吊索的失稳区域向中心线两边发散的比钢绞线吊索更为明显;在3≤X≤4区域,尾流吊索发生气动失稳可能性较大,特别是钢绞线吊索。
The hangers on the long-span suspension bridges often vibrate under the action of wind. The wake-induced vibration caused by the aerodynamic interference between the hangers might be one of the underlying mechanisms. In order to study the influence of the surface roughness of the hanger on the aerodynamic stability, two types of model hangers with smooth and rough surfaces, which correspond to the parallel wire and steel strand hangers respectively, were made carry out wind tunnel tests to measure the mean aerodynamic force coefficients of the leeward cables. Then, according to the Routh-Hurwitz stability criterion, the aerodynamic instability regions of the parallel wire and steel strand hangers were studied and compared. The results show that there are some differences between the spatial distribution of the mean aerodynamic force coefficients for the smooth leeward cylinder and that for the rough leeward cylinder. The unstable region of the two kinds of leeward hangers appears to be a strip shape with a width of 1～2D, while the unstable region of the parallel wire hanger diverges on both sides of the center line more obviously than the steel strand hanger. The possibility of aerodynamic instability is greater in the region of 3≤X≤4, especially for steel strand hanger.
The hangers on the long-span suspension bridges often vibrate under the action of wind. The wake-induced vibration caused by the aerodynamic interference between the hangers might be one of the underlying mechanisms. In order to study the influence of the surface roughness of the hanger on the aerodynamic stability, two types of model hangers with smooth and rough surfaces, which correspond to the parallel wire and steel strand hangers respectively, were made carry out wind tunnel tests to measure the mean aerodynamic force coefficients of the leeward cables. Then, according to the Routh-Hurwitz stability criterion, the aerodynamic instability regions of the parallel wire and steel strand hangers were studied and compared. The results show that there are some differences between the spatial distribution of the mean aerodynamic force coefficients for the smooth leeward cylinder and that for the rough leeward cylinder. The unstable region of the two kinds of leeward hangers appears to be a strip shape with a width of 1～2D, while the unstable region of the parallel wire hanger diverges on both sides of the center line more obviously than the steel strand hanger. The possibility of aerodynamic instability is greater in the region of 3≤X≤4, especially for steel strand hanger.
引文
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[2]Laursen E,Bitsch N,Andersen J E.Analysis and mitigation of large amplitude cable vibrations at the great belt east bridge[J].Iabse Symposium Report,2006:64-71
[3]陈政清,雷旭,华旭刚,等.大跨度悬索桥吊索减振技术研究与应用[J].湖南大学学报:自然科学版,2016,43(1):1-10(Chen Zhengqing,Lei Xu,Hua Xugang,et al.Research and application of vibration control method for hanger cables in long-span suspension bridge[J].Journal of Hunan University:Natural Science,2016,43(1):1-10(in Chinese))
[4]Yoshimura T.Aerodynamic stability of four medium span bridges in kyushu district[J].Journal of Wind Engineering and Industrial Aerodynamics,1992,41-44(1):1203-1214
[5]Henderson G L.Wind-induced vibration of stay cable[M].US:Department of Transportation Federal Highway Administration,2007
[6]陈政清.桥梁风工程[M].北京:人民交通出版社,2005:56-59(Chen Zhengqing.Wind engineering of bridge[M].Beijing:China Communications Press,2005:56-59(in Chinese))
[7]Yagi T,Arima M,Araki S,t al.Investigation on wake-induced instabilities of parallel circular cylinders based on unsteady aerodynamic forces[C]//14th International Conference on Wind Engineering-Porto Alegre.Brazil,2015
[8]杜晓庆,蒋本建,代钦,等.大跨度缆索承重桥并列索尾流激振研究[J].振动工程学报,2016,29(5):842-850(Du Xiaoqing,Jiang Benjian,Dai Qin,et al.On wake-induced vibration of parallel cables in cable-supported bridges[J].Journal of Vibration Engineering,2016,29(5):842-850(in Chinese))
[9]Zhao Ming,Cui Zhendong,Kwok K,et al.Wake-induced vibration of a small cylinder in the wake of a large cylinder[J].Ocean Engineering,2016,113:75-89
[10]何小宝,严波,伍川,等.双分裂导线尾流诱发振荡数值模拟研究[J].振动与冲击,2017,36(4):59-65(He Xiaobao,Yan Bo,Wu Chuan,et al.A numerical simulation on wake-induced oscillation of twin bundle conductor lines[J].Journal of Vibration and Shock,2017,36(4):59-65(in Chinese))
[11]肖春云,李寿英,陈政清.悬索桥双吊索尾流驰振的失稳区间研究[J].中国公路学报,2016,29(9):53-58(Xiao Chunyun,Li Shouying,Chen Zhengqing.Investigation on instable region of wake galloping for twin hangers of suspension bridge[J].China Journal of Highway and Transport,2016,29(9):53-58(in Chinese))
[12]Price S J.Wake induced flutter of power transmission conductors[J].Journal of Sound and Vibration,1975,38:125-147
[13]Wardlaw R L,Cooper K R,Ko R G,et al.Wind tunnel and analytical investigation into the aeroelastic behaviour of bundled conductors[J].IEEE Transactions on Power Apparatus and Systems,1975,PAS-94(2):642-654
[14]肖春云.大跨度柔性桥梁双索股尾流驰振机理研究[D].长沙:湖南大学,2016(Xiao Chunyun.The research on mechanism of double strands wake galloping of the long-span flexible bridge[D].Changsha:Hunan University,2016(in Chinese))
[15]Paidoussis M P,Price S J,Langre E D.Fluid-structure interactions:cross-flow-induced instabilities[M].New York:Cambridge University Press,2010
[16]陈元坤.分裂导线的微风振动与次档距振荡研究[D].武汉:华中科技大学,2011(Chen Yuankun.Study on aeolian vibration and subspan oscillation of bundle conductor[D].Wuhan:Huazhong University of Science and Technology,2011(in Chinese))