基于DMD方法的矩形断面涡振模态分析
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国家重点实验室开放研究基金项目(BHSKL21-03-KF),长沙理工大学校级科研资助项目(CX2021SS18)


Modal analysis of vortex-induced vibration in rectangular section based on dmd method
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    摘要:

    为探究涡激振动下,矩形断面绕流场的模态演化规律及涡振发生机理,基于雷诺平均 SST kω模型对宽高比为5:1的矩形断面的涡激振动进行了二维数值模拟研究.通过CFD/CSD交错迭代求解,结合动网格技术实现了二维流固耦合计算,并与风洞试验结果进行对比分析,验证了数值计算的准确性.随后,对流场的瞬时状态进行可视化分析,以z方向涡量值为基本物理量,基于动力学模态分解(DMD)方法对其静态与涡振态流场模态进行了对比分析.结果表明:在涡振发展的不同阶段,主导流场的模态频率不同,主模态频率会由静态涡脱频率向结构固有频率转变,此主模态的转变表征了流固耦合的内在机制;与静态矩形相比,涡振态矩形由于运动诱导涡的存在,导致其前缘涡与尾缘涡的相位差减小,前缘涡与尾涡而合并时前缘涡占据主导,使得在尾缘脱落的Karman涡相关性减弱,形成了涡振锁频现象.

    Abstract:

    In order to investigate the mode evolution law and vortex vibration generation mechanism of rectangular section flow field under vortexinduced vibration, twodimensional numerical simulation of vortexinduced vibration of rectangular section with aspect ratio of 5:1 was carried out based on Reynolds mean SST kω model.The CFD/CSD interleaved iterative solution combined with the dynamic grid technique was used to realize the twodimensional fluidstructure coupling calculation, and the wind tunnel test results were compared and analyzed to verify the accuracy of the numerical calculation. Then, the instantaneous state of the flow field was analyzed visually. Taking the vortex value in the z direction as the basic physical quantity, the static and vorticity modes of the flow field were compared and analyzed based on dynamic mode decomposition (DMD) method. The results show that the modal frequencies of the dominant flow field are different at different stages of the vortex vibration development. The frequency of the dominant mode changes from the static vortex devorticity frequency to the natural frequency of the structure, which represents the internal mechanism of the fluidstructure coupling. Compared with static rectangles, the phase difference between leading edge vortexes and trailing edge vortexes decreases due to the existence of motioninduced vortexes. When leading edge vortexes and trailing vortexes merge, the vortexes dominate. As a result, the correlation of Karman vortexes falling off at trailing edges is weakened, resulting in frequencylocking phenomenon of vortexes.

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洪泽宇,董国朝,韩艳,李凯.基于DMD方法的矩形断面涡振模态分析[J].动力学与控制学报,2023,21(4):48~58; Hong Zeyu, Dong Guochao, Han Yan, Li Kai. Modal analysis of vortex-induced vibration in rectangular section based on dmd method[J]. Journal of Dynamics and Control,2023,21(4):48-58.

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  • 收稿日期:2023-03-01
  • 最后修改日期:2023-04-02
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  • 在线发布日期: 2023-04-20
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