Abstract：An experimental study on the vortex-induced vibration (VIV) of a stepped cylinder in uniform flow was performed, where the Reynolds number is Re = 450 ~ 6000. The effects of coverage ratio R and diameter ratio D/d on vibration responses were investigated. The results show that a "transition branch" appears in the vibration responses of the stepped cylinder when R = 25% ~ 75%. On the transition branch, the amplitude increases gradually, and the lift force first increases and then decreases. With the increase of R and D/d, the reduced velocity range for the transition branch extends, while that for the initial branch shrinks. In the lock-in region, the oscillation frequency of cylinder sequentially locks onto two frequencies with the increase of the reduced velocity, which is termed as the “dual lock-in”. There is an obvious correspondence between the lock-in regions and the response branches.
Key words: stepped cylinder; vortex-induced vibration; coverage ratio; diameter ratio; dual lock-in
殷彤1，及春宁1，宋立群1，袁德奎2. 均匀流场中阶梯圆柱涡激振动实验研究[J]. 振动与冲击, 2022, 41(18): 258-265.
YIN Tong1, JI Chunning1, SONG Liqun1, YUAN Dekui2. Experimental study on the vortex-induced vibration of a stepped cylinder in uniform flow. JOURNAL OF VIBRATION AND SHOCK, 2022, 41(18): 258-265.
[1] Williamson C H K, Govardhan R. Vortex-induced vibrations [J]. Annual Review of Fluid Mechanics, 2004, 36: 413-455.
[2] Sarpkaya T. A critical review of the intrinsic nature of vortex-induced vibrations [J]. Journal of Fluids and Structures, 2004, 19(4): 389-447.
[3] Williamson C H K, Govardhan R. A brief review of recent results in vortex-induced vibrations [J]. Journal of Wind Engineering and Industrial Aerodynamics, 2008, 96(6-7): 713-735.
[4] Sumner D. Two circular cylinders in cross-flow: A review [J]. Journal of Fluids and Structures, 2010, 26(6): 849-899.
[5] Wu X., Ge F., Hong Y. A review of recent studies on vortex-induced vibrations of long slender cylinders [J]. Journal of Fluids and Structures, 2012, 28: 292-308.
[6] Wang JS, Fan D, Lin K. A review on flow-induced vibration of offshore circular cylinders [J]. Journal of Hydrodynamics, 2020, 32(3): 415-440.
[7] 及春宁, 李非凡, 陈威霖, 等. 圆柱涡激振动研究进展与展望[J]. 海洋技术, 2015, 34(1): 106-118.
JI Chun-ning, LI Fei-fan, CHEN Wei-lin, et al. Progress and Prospect of the Study on Vortex-Induced Vibration of Circular Cylinders [J]. Journal of Technology, 2015, 34(1): 106-118.
[8] 陈伟民, 付一钦, 郭双喜, 等. 海洋柔性结构涡激振动的流固耦合机理和响应[J]. 力学进展, 2017, 47: 25-91.
Chen Wei-min, Fu Yi-qin, Guo Shuang-xi, et al. Fluid-solid coupling and dynamic response of vortex-induced vibration of slender ocean cylinders [J]. Advance in Mechanics, 2017, 47: 25-91.
[9] Dunn W, Tavoularis S. Experimental studies of vortices shed from cylinders with a step-change in diameter [J]. Journal of Fluid Mechanics, 2006, 555: 409-437.
[10] Morton C, Yarusevych S. An experimental investigation of flow past a dual step cylinder [J]. Experiments in Fluids, 2012, 52: 69-83.
[11] Morton C, Yarusevych S. On vortex shedding from low aspect ratio dual step cylinders [J]. Journal of Fluids and Structures, 2014, 44: 251-269.
[12] Ji C, Yang X, Yu Y, et al. Numerical simulations of flows around a dual step cylinder with different diameter ratios at low Reynolds number [J]. European Journal of Mechanics / B Fluids, 2020, 79: 332-344.
[13] Yan Y, Ji C, Srinil N. Three-dimensional flip-flopping flow around a pair of dual-stepped circular cylinders in a side-by-side arrangement [J]. Physics of Fluids, 2020, 32, 123608.
[14] Ji C, Cui Y, Xu D, et al. Vortex-induced vibrations of dual-step cylinders with different diameter ratios in laminar flows [J]. Physics of Fluids, 2019, 31, 073602.
[15] Lie H, Mo K, Vandiver J K. VIV model test of a bare- and a staggered buoyancy riser in a rotating rig [C]. Proceedings of the Offshore Technology Conference, OTC-8700-MS, May 4, 1998, Houston, TX, USA.
[16] Vandiver J K, Peoples W W. The effect of staggered buoyancy modules on flow-induced vibration of marine risers [C]. Proceedings of the Offshore Technology Conference, OTC 15284, May 5, 2003, Houston, TX, USA.
[17] Rao Z, Vandiver J K, Jhingran V. Vortex induced vibration excitation competition between bare and buoyant segments of flexible cylinders [J]. Ocean Engineering, 2015, 94: 186-198.
[18] 孙友义, 陈国明, 畅元江, 等. 基于涡激抑制的隔水管浮力块分布方案优化[J]. 中国石油大学学报(自然科学版), 2009, 33(03): 123-127.
Sun You-yi, Chen Guo-ming, Chang Yuan-jiang, et al. Riser buoyancy distribution optimization based on vortex-induced vibration supp ression [J]. Journal of China University of Petroleum（Edition of Natural Science）, 2009, 33(03): 123-127.
[19] 李琳. 带浮力块的柔性立管涡激振动特性研究[D], 硕士学位论文，上海交通大学, 2012.
Li Lin. Investigation on vortex-induced vibration of flexible risers with buoyancy modules [D]. Shanghai: Shanghai Jiao Tong University, 2012.
[20] Fox T A, West G S. On the use of end plates with circular cylinders [J]. Experiments in Fluids, 1990, 9(4): 237–239.
[21] Khalak A, Williamson C H K. Fluid forces and dynamics of a hydroelastic structure with very low mass and damping. Journal of Fluids and Structures, 1997, 11(8), 973-982.
[22] Zhao J, Leontini J S, Lo Jacono D, et al. Fluid-structure interaction of a square cylinder at different angles of attack [J]. Journal of Fluid Mechanics, 2014, 747(2): 688-721.
[23] Feng, C. C. The measurement of vortex induced effects in flow past stationary and oscillating circular and D-section cylinders [D]. University of British Columbia, 1968.
[24] 陈威霖, 及春宁, 许栋. 小间距比下串列双圆柱涡激振动数值模拟研究: 振动响应和流体力[J]. 振动与冲击, 2018, 37(23): 261-269.
Chen Wei-lin, Ji Chun-ning, Xu Dong. Numerical simulations for VIVs of two tandem cylinders with small spacing ratios: vibration responses and hydrodynamic forces[J]. Journal of Vibrationa and Shock, 2018, 37(23): 261-269.
[25] 陈威霖, 及春宁, 许栋. 低雷诺数下串列三圆柱涡激振动中的弛振现象及其影响因素. 力学学报, 2018, 50(4):766-775.
Chen Wei-lin, Ji Chun-ning, Xu Dong. Galloping in vortex-induced vibration of three tandem cylinders at low Reynolds numbers and its influencing factors. Chinese Journal of Theoretical and Applied Mechanics, 2018, 50(4): 766-775.
