Study on Vibration and Power Stability of Tandem Double PTC Cylinders Under Different Perturbations

ZHANG Dahai; ZHANG Shuai; LIU Shuoshuo; HOU Xiaohai; JIANG Yaoxin

doi:10.21656/1000-0887.450338

Volume 47 Issue 2

Feb. 2026

Turn off MathJax

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 2026 > 47(2): 203-218

ZHANG Dahai, ZHANG Shuai, LIU Shuoshuo, HOU Xiaohai, JIANG Yaoxin. Study on Vibration and Power Stability of Tandem Double PTC Cylinders Under Different Perturbations[J]. Applied Mathematics and Mechanics, 2026, 47(2): 203-218. doi: 10.21656/1000-0887.450338

Citation:

PDF( 9505 KB)

Study on Vibration and Power Stability of Tandem Double PTC Cylinders Under Different Perturbations

doi: 10.21656/1000-0887.450338

College of New Energy, China University of Petroleum (East China), Qingdao, Shangdong 266580, P.R.China

Received Date: 2024-12-24
Rev Recd Date: 2025-03-09
Publish Date: 2026-02-01

Abstract

Abstract

The development of ocean energy aligns with the national dual-carbon strategy objectives. The large-scale utilization of VIVACE devices to extract ocean current energy requires the coordinated power generation of multiple oscillators. However, the perturbation effects among multiple oscillators can create a relatively chaotic flow field, resulting in unstable vibration responses of the VIVACE device. To address this issue, a rigid connecting structure was proposed to mitigate the perturbation caused by flow-induced vibrations. With the RANS method and the Spalart-Allmaras turbulence model, combined with the dynamic meshing and the UDF technology, the flow-induced vibration responses, vibration stability, and instantaneous output power stability of separated serial twin PTC cylinders and rigidly connected twin PTC cylinders were simulated under 3 spacing ratios: L=1.5D, L=2.5D, and L=3.5D. The results indicate that, in the rigidly connected case, the vibration amplitude stability will decrease with the spacing ratio. Compared to the separated configuration, the rigidly connected setup has higher vibration stability and instantaneous output power stability as well under all 3 spacing ratios, although the improvement effect diminishes as the spacing ratio increases. A net damping coefficient was introduced to assess the energy changes in the system during the vibration process of the separated serial twin PTC cylinders and the rigidly connected serial twin PTC cylinders. The results show that, an unstable net damping coefficient leads to unstable energy in the system, ultimately resulting in unstable vibration responses.
- flow induced vibration,
- tandem double PTC cylinders,
- net damping factor,
- vibration stability

FullText(HTML)

References(21)

References

[1]	BERNITSAS M M, RAGHAVAN K. Fluid motion energy converter: US7493759B2[P]. 2009-02-24.
[2]	丁林. 被动湍流控制下多柱体流致振动研究[D]. 重庆: 重庆大学, 2013. DING Lin. Research on flow induced motion of multiple circular cylinder with passive turbulence control[D]. Chongqing: Chongqing University, 2013. (in Chinese)
[3]	朱红钧, 刘文丽, 高岳. 固定-铰接约束柔性管的涡激振动实验研究[J]. 应用数学和力学, 2023, 44(2): 141-151. doi: 10.21656/1000-0887.430320 ZHU Hongjun, LIU Wenli, GAO Yue. Experimental study on the vortex-induced vibration of fixed-hinged flexible risers[J]. Applied Mathematics and Mechanics, 2023, 44(2): 141-151. (in Chinese) doi: 10.21656/1000-0887.430320
[4]	FARSI M, SHARIATZADEH M J, BIJARCHI M A, et al. Low-speed wind energy harvesting from a vibrating cylinder and an obstacle cylinder by flow-induced vibration effect[J]. International Journal of Environmental Science and Technology, 2022, 19(3): 1261-1272. doi: 10.1007/s13762-021-03241-1
[5]	CHEN Z L, ALAM M M, QIN B, et al. Energy harvesting from and vibration response of different diameter cylinders[J]. Applied Energy, 2020, 278: 115737. doi: 10.1016/j.apenergy.2020.115737
[6]	SUN H, MA C H, KIM E S, et al. Flow-induced vibration of tandem circular cylinders with selective roughness: effect of spacing, damping and stiffness[J]. European Journal of Mechanics-B/Fluids, 2019, 74: 219-241. doi: 10.1016/j.euromechflu.2018.10.024
[7]	罗竹梅, 张立翔. 基于流固双向耦合的圆柱体涡激振动模拟[J]. 昆明理工大学学报(自然科学版), 2013, 38(3): 107-112. LUO Zhumei, ZHANG Lixiang. Numerical simulation of vortex-induced vibration of cylinder based on two-way fluid-structure coupling[J]. Journal of Kunming University of Science and Technology (Natural Science Edition), 2013, 38(3): 107-112. (in Chinese)
[8]	ZHANG B S, MAO Z Y, SONG B W, et al. Numerical investigation on VIV energy harvesting of four cylinders in close staggered formation[J]. Ocean Engineering, 2018, 165: 55-68. doi: 10.1016/j.oceaneng.2018.07.042
[9]	SUN H, BERNITSAS M M, TURKOL M. Adaptive harnessing damping in hydrokinetic energy conversion by two rough tandem-cylinders using flow-induced vibrations[J]. Renewable Energy, 2020, 149: 828-860. doi: 10.1016/j.renene.2019.12.076
[10]	ASSI G R S, BEARMAN P W, MENEGHINI J R. On the wake-induced vibration of tandem circular cylinders: the vortex interaction excitation mechanism[J]. Journal of Fluid Mechanics, 2010, 661: 365-401. doi: 10.1017/S0022112010003095
[11]	谭潇玲, 涂佳黄, 雷平, 等. 剪切来流下串列三圆柱横向振动响应机理研究[J]. 振动与冲击, 2021, 40(20): 89-99. TAN Xiaoling, TU Jiahuang, LEI Ping, et al. The influence mechanism of crossflow vibration response of three tandem cylinders in shear flow[J]. Journal of Vibration and Shock, 2021, 40(20): 89-99. (in Chinese)
[12]	赵伟文, 万德成. 用DES分离涡方法数值模拟串列双圆柱绕流问题[J]. 应用数学和力学, 2016, 37(12): 1272-1281. doi: 10.21656/1000-0887.370546 ZHAO Weiwen, WAN Decheng. Detached-eddy simulation of flow past tandem cylinders[J]. Applied Mathematics and Mechanics, 2016, 37(12): 1272-1281. (in Chinese) doi: 10.21656/1000-0887.370546
[13]	XU W H, JI C N, SUN H, et al. Flow-induced vibration of two elastically mounted tandem cylinders in cross-flow at subcritical Reynolds numbers[J]. Ocean Engineering, 2019, 173: 375-387. doi: 10.1016/j.oceaneng.2019.01.016
[14]	ARMIN M, KHORASANCHI M, DAY S. Wake interference of two identical oscillating cylinders in tandem: an experimental study[J]. Ocean Engineering, 2018, 166: 311-323. doi: 10.1016/j.oceaneng.2018.08.012
[15]	李怀军, 孙海. 高雷诺数下串列粗糙三圆柱的流致振动试验研究[J]. 振动与冲击, 2024, 43(6): 280-287. LI Huaijun, SUN Hai. Experimental investigation on the flow-induced vibration of three tandem roughness cylinders in high Reynolds number flow[J]. Journal of Vibration and Shock, 2024, 43(6): 280-287. (in Chinese)
[16]	CHANG C C, BERNITSAS M M. Hydrokinetic energy harnessing using the VIVACE converter with passive turbulence control[C]//Volume 5: Ocean Space Utilization; Ocean Renewable Energy. Rotterdam, The Netherlands. ASMEDC, 2011: 899-908.
[17]	DING W J, SUN H, XU W H, et al. Experimental and computational investigation of interactive flow induced oscillations of two tandem rough cylinders at 3×10⁴ ≤ Re ≤ 1.2×10⁵[J]. Ocean Engineering, 2021, 223: 108641. doi: 10.1016/j.oceaneng.2021.108641
[18]	DING L, ZHANG L, WU C M, et al. Numerical study on the effect of tandem spacing on flow-induced motions of two cylinders with passive turbulence control[J]. Journal of Offshore Mechanics and Arctic Engineering, 2017, 139(2): 021801. doi: 10.1115/1.4034760
[19]	SPALART P, ALLMARAS S. A one-equation turbulence model for aerodynamic flows[C]// 30th Aerospace Sciences Meeting and Exhibit. NY, USA. AIAA, 1992.
[20]	ZHANG D H, SUN H, WANG W H, et al. Rigid cylinder with asymmetric roughness in flow induced vibrations[J]. Ocean Engineering, 2018, 150: 363-376. doi: 10.1016/j.oceaneng.2018.01.005
[21]	唐善然, 陈文礼, 李惠. 斜拉索风雨激振的数值模拟研究[J]. 工程力学, 2012, 29(3): 124-132. TANG Shanran, CHEN Wenli, LI Hui. Investigation on rain-wind-induced vibration of stay cables based on numerical simulations[J]. Engineering Mechanics, 2012, 29(3): 124-132. (in Chinese)