Chinese Journal of Theoretical and Applied Mechanics ›› 2019, Vol. 51 ›› Issue (5): 1321-1335.DOI: 10.6052/0459-1879-19-051

• Fluid Mechanics • Previous Articles     Next Articles


Tu Jiahuang*2)(),Tan Xiaoling*,Yang Zhilong*,Deng Xuhui***,Guo Xiaogang***,Zhang Ping*   

  1. * College of Civil Engineering and Mechanics, Xiangtan University, Xiangtan 411105, Hunan, China
    ? Hunan Key Laboratory of Geomechanics and Engineering Safety, Xiangtan 411105, Hunan, China
    ** State Key Laboratory of Exploitation and Utilization of Deep Sea Minaral Resouces, Changsha 410012, Hunan, China
  • Received:2019-03-06 Online:2019-09-18 Published:2019-09-30
  • Contact: Tu Jiahuang


Wake-induced vibration (WIV) of a two-degree-of-freedom downstream square cylinder behind a stationary upstream square one are numerically investigated at low Reynolds numbers by using semi-implicit Characteristics-based split(CBS) finite element algorithm in this study. Firstly, the results are compared with the existing data in the literature to verify the accurateness of the method. Then, the influence of Reynolds number ($Re$) and reduced velocity ($U_{\rm r})$on the wake-induced vibration response of the downstream square cylinder is analyzed. Meanwhile, the results are also compared with those of the single square cylinder case. The numerical results show that the $Re$and $U_{\rm r}$have great influence on the dynamic response characteristics, such as amplitude, vibration frequency and motion trajectory of the downstream square cylinder. With the increasing of $Re$, the interaction between both cylinders changes from the vortex-induced interference to the wake one, resulting in the change of the frequency characteristics and the intensifying dynamic response of the downstream circular cylinder. The trajectories resemble figure "8" in the single square cylinder case. However, in the case of both cylinders arranged in-line, the trajectories of the downstream cylinder become complicated with the increasing of $Re$. The motion orbits are basically "8" figure at $Re=40$, 80. When the $Re$are 120, 160 and 200, the "dual-8" figure can be observed. Meanwhile, the wake field characteristics of the downstream square cylinder show 2S, 2S*, 2P, 2T, P+S and steady mode. Finally, the wake-induced vibration mechanisms of two square cylinders in the tandem arrangement is revealed according to the analysis of the characteristic of the flow field.

Key words: two square cylinders in the tandem arrangement, wake-induced vibration, dynamic response, wake characteristics, semi-implicit characteristic-based split (CBS) finite element method

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