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胡中明, 王嘉松, 孙远坤, 郑瀚旭, 范迪夏. 正方形布置四圆柱结构流致振动响应特性研究. 力学学报, 待出版. DOI: 10.6052/0459-1879-23-575
引用本文: 胡中明, 王嘉松, 孙远坤, 郑瀚旭, 范迪夏. 正方形布置四圆柱结构流致振动响应特性研究. 力学学报, 待出版. DOI: 10.6052/0459-1879-23-575
Hu Zhongming, Wang Jiasong, Sun Yuankun, Zheng Hanxu, Fan Dixia. Study on the flow-induced vibrations of four square-arranged circular cylinders. Chinese Journal of Theoretical and Applied Mechanics, in press. DOI: 10.6052/0459-1879-23-575
Citation: Hu Zhongming, Wang Jiasong, Sun Yuankun, Zheng Hanxu, Fan Dixia. Study on the flow-induced vibrations of four square-arranged circular cylinders. Chinese Journal of Theoretical and Applied Mechanics, in press. DOI: 10.6052/0459-1879-23-575

正方形布置四圆柱结构流致振动响应特性研究

STUDY ON THE FLOW-INDUCED VIBRATIONS OF FOUR SQUARE-ARRANGED CIRCULAR CYLINDERS

  • 摘要: 通过风洞实验研究了正方形布置四圆柱的流致振动特性, 实验雷诺数Re = 3200-28900, 圆柱间距比S/D = 1.5-4.0 (S为两圆柱圆心间距, D为圆柱直径), 质量比m* ≈ 345.0. 结果表明, 当S/D ≤ 2.0时, 上游圆柱1和2呈现涡激振动和类弛振耦合响应, 下游圆柱3和4呈现涡激共振和尾流弛振耦合响应; 当S/D = 2.5-3.0, 上游圆柱1和2除了在约化速度超过一定值时存在弱振动外, 基本接近单圆柱涡激振动响应, 下游圆柱3和4表现为分离的涡激共振和尾流弛振响应; 当S/D = 4.0时, 上游圆柱1和2振动响应几乎和单圆柱一样, 而圆柱3和4仍呈现分离的涡激共振和尾流弛振响应. 当圆柱呈现涡激振动(上游圆柱)或涡激共振(下游圆柱)时, 涡脱频率fs锁定于固有频率fn的1倍谐频, 而当圆柱呈现剧烈的类弛振响应(上游圆柱)或尾流弛振响应(下游圆柱)时, fs则会出现明显的多倍谐频; 圆柱模型振动频率fo主频始终锁定于fn的1倍谐频. 通过对比正方形四圆柱和双圆柱流致振动特性, 发现双圆柱动力学响应规律在一定程度上仍适用于正方形布置四圆柱.

     

    Abstract: Flow-induced vibrations (FIVs) of four square-arranged circular cylinders have been investigated in a wind tunnel at Re = 3200-28900. The spacing ratios S/D are from 1.5 to 4.0 (S is the center-to-center spacing between two cylinders and D is the cylinder diameter) and the mass ratio m* ≈ 345.0. Results show that, when S/D ≤ 2.0, cylinder 1 and 2 (upstream cylinder) present an combined vortex-induced vibration (VIV) and galloping-like response, while cylinder 3 and 4 (downstream cylinder) present an combined vortex resonance (VR) and wake-induced galloping (WIG) response. When S/D = 2.5-3.0, cylinder 1 and 2 are basically close to the VIV of a single cylinder except for weak vibration for large reduced velocity. Both of cylinder 3 and 4 present a separated VR and WIG response with different amplitudes and response regions. At S/D = 4.0, cylinder 1 and 2 are almost similar with the single cylinder, while cylinder 3 and 4 still present a separated VR and WIG and the vibration responses between the downstream cylinders are very close. When the cylinder exhibits VIV (upstream cylinder) or VR (downstream cylinder), the vortex shedding frequency fs will significantly be locked to the first harmonic of the natural frequency fn. As the reduced velocity gradually increases, the cylinders present intense galloping-like response (upstream cylinder) or WIG (downstream cylinder) and the shedding frequencies fs show distinct multiple harmonics. While, the vibration frequency fo only can be locked to the natural frequency fn. By summarizing the vibration amplitudes characteristics of the four square-arranged and the two cylinders, it can be found that there exist similar vibration patterns among them and the dynamic response law of the two cylinders system are still applicable to the four square-arranged cylinders.

     

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