李寿英,向琳琳,邓羊晨?覮.悬索桥吊索尾流致振非定常理论分析[J].湖南大学学报:自然科学版,2020,(11):1~8
悬索桥吊索尾流致振非定常理论分析
Theoretical Analysis on Wake-induced Vibration ofSuspension Bridges Hangers Based on Unsteady Theory
  
DOI:
中文关键词:  悬索桥  吊索  尾流致振  龙格-库塔法  非定常理论  准定常理论
英文关键词:suspension bridges  hangers  wake-induced vibration  Runge-Kutta method  unsteady theory  quasi-steady theory
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作者单位
李寿英,向琳琳,邓羊晨?覮 (风工程与桥梁工程湖南省重点实验室(湖南大学)湖南 长沙 410082) 
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中文摘要:
      为研究悬索桥吊索的尾流致振机理及准定常理论在尾流致振中的适用性,进行了一系列风洞试验,测量得到尾流索股的气动导数的空间分布情况,建立了尾流致振非定常理论分析模型,采用龙格-库塔法求解方程,得到尾流致振响应. 结果表明:在5.2≤X≤5.6,1.1≤Y≤2.1的空间区域尾流索股发生明显振动,振动频率小于结构固有频率;在一个尾流致振周期内,气动刚度力对尾流索股做正功,说明尾流致振由气动刚度控制;基于准定常理论的计算结果与非定常理论计算结果偏差较小,两种理论得到的尾流致振机理一致.
英文摘要:
      In order to investigate the mechanism of wake-induced vibration of the suspension bridge hangers, and to verify the applicability of quasi-steady assumption in the research of the wake-induced vibration, a series of wind tunnel tests for two parallel circular cylinders were carried out to measure the aerodynamic derivatives of the downstream cylinder. Second, a theoretical analysis model of wake-induced vibration of the downstream cable was developed on the basis of the unsteady theory, and the Runge-Kutta method was adopted to numerically solve the motion equations to obtain the responses of wake-induced vibration. The results show that obvious oscillations of the leeward cable take place in the spatial region of 5.2≤X≤5.6 and 1.1≤Y≤2.1, and the vibration frequency of cable is slightly less than its natural frequency. A positive work within a period is always done by the aerodynamic stiffness force if large amplitude vibration of wake-induced vibration takes place, which indicates that the aerodynamic stiffness force is the key factor to evoke the wake-induced vibration of the leeward cable. Moreover, the results based on the quasi-steady theory show small variation when compared with those based on the unsteady theory, and the wake-induced vibration mechanism obtained by the two theories is consistent.
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