喻梅, 廖海黎, 李明水, 马存明, 贾宏宇, 罗楠. 基于经验线性涡激力的桥梁涡激振动TMD控制[J]. 工程力学, 2013, 30(6): 269-274. DOI: 10.6052/j.issn.1000-4750.2012.08.0630
引用本文: 喻梅, 廖海黎, 李明水, 马存明, 贾宏宇, 罗楠. 基于经验线性涡激力的桥梁涡激振动TMD控制[J]. 工程力学, 2013, 30(6): 269-274. DOI: 10.6052/j.issn.1000-4750.2012.08.0630
YU Mei, LIAO Hai-li, LI Ming-shui, MA Cun-ming, JIA Hong-yu, LUO Nan. SUPPRESSION OF VORTEX-INDUCED VIBRATION OF BRIDGES USING TMD BASED ON LINEAR EMPIRICAL VORTEX-SHEDDING FORCES MODEL[J]. Engineering Mechanics, 2013, 30(6): 269-274. DOI: 10.6052/j.issn.1000-4750.2012.08.0630
Citation: YU Mei, LIAO Hai-li, LI Ming-shui, MA Cun-ming, JIA Hong-yu, LUO Nan. SUPPRESSION OF VORTEX-INDUCED VIBRATION OF BRIDGES USING TMD BASED ON LINEAR EMPIRICAL VORTEX-SHEDDING FORCES MODEL[J]. Engineering Mechanics, 2013, 30(6): 269-274. DOI: 10.6052/j.issn.1000-4750.2012.08.0630

基于经验线性涡激力的桥梁涡激振动TMD控制

SUPPRESSION OF VORTEX-INDUCED VIBRATION OF BRIDGES USING TMD BASED ON LINEAR EMPIRICAL VORTEX-SHEDDING FORCES MODEL

  • 摘要: 涡激振动是大跨度桥梁在低风速下容易发生的一种风致振动,是大跨度桥梁抗风设计中的重要环节。为了有效抑制桥梁的涡激振动,研究了TMD对桥梁涡激振动的控制。建立了桥梁与TMD组成的振动系统的运动方程,在复频率里对运动方程进行求解,推导了振动系统的频率响应函数,给出了TMD参数优化设计的方法。以一大跨度悬索桥为实例,对该悬索桥进行了1∶20的大节段模型涡激振动风洞试验,获取了桥梁的涡激振动气动参数,分析了TMD对桥梁涡激振动的控制。TMD参数优化结果表明:质量比越大,控制率越高,但工程中应综合经济性等因素考虑合适的质量比;TMD质量比一定时,TMD与桥梁的频率比趋近于1附近,相位差趋近于π/2附近,控制率较高;当桥梁主梁高度对TMD行程有限制时,涡振控制效果将受到影响,利用TMD进行桥梁涡激振动控制需结合TMD的行程来综合考虑参数的优化取值;就本桥而言,当按质量比为1%设计TMD最优参数时,在整个涡振区风速范围内,桥梁的涡激振动都得到了有效的抑制。

     

    Abstract: Vortex-induced vibration is an aerodynamic phenomenon that occurs in long-span bridges at low wind speeds,and it is an issue in the wind-resistant design of long-span bridges.In order to suppress vortex- induced vibration of long-span bridges,the effects of TMD on the vortex-induced vibration of long-span bridges were investigated.The motion equations of the vibration system consisting of a bridge and TMD are established; then these motion equations are solved in a complex frequency domain,the frequency response functions of the vibration system are obtained,and the method to design optimal TMD parameters is given.The method presented is verified using a long-span suspension bridge.First,the wind tunnel test was performed using a 1:20 scale section model of the bridge in order to identify aerodynamic parameters of a linear empirical model for vertical vortex-induced vibration,then the influences of TMD parameters on vortex-induced vibration of the bridge were investigated.The TMD parameters optimization results show that the more the mass ratio,the higher the control rate,but at the same time,engineering economic and so on should be considered to determinate TMD mass; when TMD mass ratio is a constant,the frequency rate between TMD and bridges is closer to 1,and the phase difference is closer to π/2,the control rate is higher.The vortex vibration control rate will be affected when the TMD displacement was limited by the height of bridges,TMD displacement limit must be considered in the design of TMD.When the mass ratio is 1%,and optimal TMD parameters were designed,the vortex vibration of the bridge in a lock wind speed range has been effectively suppressed.

     

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