0
Research Papers: CFD and VIV

Interactive Flow-Induced Vibrations of Two Staggered, Low Mass-Ratio Cylinders in the TrSL3 Flow Regime (2.5 × 104 < Re < 1.2 × 105): Smooth Cylinders

[+] Author and Article Information
Chunning Ji

Marine Renewable Energy Laboratory,
University of Michigan,
Ann Arbor, MI 48109-2145;
State Key Laboratory of Hydraulic Engineering
Simulation and Safety,
Tianjin University,
Tianjin 30072, China
e-mail: cnji@tju.edu.cn

Wanhai Xu

Marine Renewable Energy Laboratory,
University of Michigan,
Ann Arbor, MI 48109-2145;
State Key Laboratory of Hydraulic Engineering
Simulation and Safety,
Tianjin University,
Tianjin 30072, China
e-mail: xuwanhai@tju.edu.cn

Hai Sun

Marine Renewable Energy Laboratory,
University of Michigan,
Ann Arbor, MI 48109-2145;
College of Aerospace and Civil Engineering,
Harbin Engineering University,
Harbin 150001, China
e-mail: hais@umich.edu

Rui Wang

Marine Renewable Energy Laboratory,
University of Michigan,
Ann Arbor, MI 48109-2145
e-mail: wanrui@umich.edu

Chunhui Ma

Marine Renewable Energy Laboratory,
University of Michigan,
Ann Arbor, MI 48109-2145;
Jiangsu Maritime Institute,
Jiangsu 211170, China
e-mail: catch0226@163.com

Michael M. Bernitsas

Marine Renewable Energy Laboratory,
University of Michigan,
Ann Arbor, MI 48109-2145;
Department of Naval Architecture and Marine
Engineering,
CTO Vortex Hydro Energy,
Ann Arbor, MI 48109;
Department of Mechanical Engineering,
CTO Vortex Hydro Energy,
Ann Arbor, MI 48108
e-mail: michaelb@umich.edu

1Corresponding author.

Contributed by the Ocean, Offshore, and Arctic Engineering Division of ASME for publication in the JOURNAL OF OFFSHORE MECHANICS AND ARCTIC ENGINEERING. Manuscript received April 24, 2017; final manuscript received December 13, 2017; published online February 22, 2018. Assoc. Editor: Yi-Hsiang Yu.

J. Offshore Mech. Arct. Eng 140(4), 041801 (Feb 22, 2018) (9 pages) Paper No: OMAE-17-1063; doi: 10.1115/1.4038936 History: Received April 24, 2017; Revised December 13, 2017

Flow-induced vibrations (FIVs) of two elastically mounted circular cylinders in staggered arrangement were experimentally investigated. The Reynolds number range for all experiments (2.5 × 104 < Re < 1.2 × 105) was in the transition in shear layer 3 (TrSL3) flow regime. The oscillator parameters selected were: mass ratio m* = 1.343 (ratio of oscillating mass to displaced fluid mass), spring stiffness K = 250 N/m, and damping ratio ζ = 0.02. The experiments were conducted in the low turbulence free surface water (LTFSW) channel in the MRELab of the University of Michigan. A closed-loop, virtual spring–damper system (Vck) was used to facilitate quick and accurate parameter setting. Based on the characteristics of the displacement response, five vibration patterns were identified and their corresponding regions in the parametric plane of the in-flow spacing (1.57 < L/D < 4.57) and transverse cylinder spacing (0 < T/D < 2) were defined. The hydrodynamic forces and frequency characteristics of the vibration response are also discussed.

FIGURES IN THIS ARTICLE
<>
Copyright © 2018 by ASME
Your Session has timed out. Please sign back in to continue.

References

Zdravkovich, M. M. , 1988, “ Review of Interference-Induced Oscillations in Flow Past Two Parallel Circular Cylinders in Various Arrangements,” J. Wind Eng. Ind. Aerodyn., 28(1), pp. 183–199. [CrossRef]
King, R. , and Johns, D. J. , 1976, “ Wake Interaction Experiments With Two Flexible Circular Cylinders in Flowing Water,” J. Sound Vib., 45(2), pp. 259–283. [CrossRef]
Bokaian, A. , and Geoola, F. , 1984, “ Proximity-Induced Galloping of Two Interfering Circular Cylinders,” J. Fluid Mech., 146, pp. 417–449. [CrossRef]
Bokaian, A. , and Geoola, F. , 1984, “ Wake-Induced Galloping of Two Interfering Circular Cylinders,” J. Fluid Mech., 146, pp. 383–415. [CrossRef]
Zdravkovich, M. M. , 1985, “ Flow Induced Oscillations of Two Interfering Circular Cylinders,” J. Sound Vib., 101(4), pp. 511–521. [CrossRef]
Zdravkovich, M. M. , and Medeiros, E. B. , 1991, “ Effect of Damping on Interference-Induced Oscillations of Two Identical Circular Cylinders,” J. Wind Eng. Ind. Aerodyn., 38(2–3), pp. 197–211. [CrossRef]
Brika, D. , and Laneville, A. , 1999, “ The Flow Interaction Between a Stationary Cylinder and a Downstream Flexible Cylinder,” J. Fluids Struct., 13(5), pp. 579–606. [CrossRef]
Blevins, R. D. , 2005, “ Forces on and Stability of a Cylinder in a Wake,” ASME J. Offshore Mech. Arct. Eng., 127(1), pp. 39–45. [CrossRef]
Hover, F. S. , and Triantafyllou, M. S. , 2001, “ Galloping Response of a Cylinder With Upstream Wake Interference,” J. Fluids Struct., 15(3), pp. 503–512. [CrossRef]
Assi, G. R. S. , Meneghini, J. R. , Aranha, J. A. P. , Bearman, P. W. , and Casaprima, E. , 2006, “ Experimental Investigation of Flow-Induced Vibration Interference Between Two Circular Cylinders,” J. Fluids Struct., 22(6), pp. 819–827. [CrossRef]
Assi, G. R. S. , Bearman, P. W. , and Meneghini, J. R. , 2010, “ On the Wake-Induced Vibration of Tandem Circular Cylinders: The Vortex Interaction Excitation Mechanism,” J. Fluid Mech., 661, pp. 365–401. [CrossRef]
Assi, G. R. S. , Bearman, P. W. , Carmo, B. S. , Meneghini, J. R. , Sherwin, S. J. , and Willden, R. H. J. , 2013, “ The Role of Wake Stiffness on the Wake-Induced Vibration of the Downstream Cylinder of a Tandem Pair,” J. Fluid Mech., 718, pp. 210–245. [CrossRef]
Assi, G. R. S. , 2014, “ Wake-Induced Vibration of Tandem and Staggered Cylinders With Two Degrees of Freedom,” J. Fluids Struct., 50, pp. 340–357. [CrossRef]
Kim, S. , Alam, M. M. , Sakamoto, H. , and Zhou, Y. , 2009, “ Flow-Induced Vibrations of Two Circular Cylinders in Tandem Arrangement—Part 1: Characteristics of Vibration,” J. Wind Eng. Ind. Aerodyn., 97(5), pp. 304–311. [CrossRef]
Alam, M. M. , and Kim, S. , 2009, “ Free Vibration of Two Identical Circular Cylinders in Staggered Arrangement,” Fluid Dyn. Res., 41(3), p. 035507. [CrossRef]
Alam, M. M. , and Meyer, J. P. , 2013, “ Global Aerodynamic Instability of Twin Cylinders in Cross Flow,” J. Fluids Struct., 41, pp. 135–145. [CrossRef]
Zdravkovich, M. M. , 1997, Flow Around Circular Cylinders: Fundamentals, Vol. 1, Oxford University Press, New York, pp. 133–198.
Bernitsas, M. M. , Raghavan, K. , Ben-Simon, Y. , and Garcia, E. M. H. , 2008, “ VIVACE (Vortex Induced Vibration Aquatic Clean Energy): A New Concept in Generation of Clean and Renewable Energy From Fluid Flow,” ASME J. Offshore Mech. Arct. Eng., 130(4), p. 041101. [CrossRef]
Raghavan, K. , and Bernitsas, M. M. , 2011, “ Experimental Investigation of Reynolds Number Effect on Vortex Induced Vibration of Rigid Circular Cylinder on Elastic Supports,” Ocean Eng., 38(5), pp. 719–731. [CrossRef]
Sun, H. , Bernitsas, M. P. , Kim, E. S. , and Bernitsas, M. M. , 2015, “ Virtual Spring-Damping System for Fluid Induced Motion Experiments,” ASME J. Offshore Mech. Arct. Eng., 137(1), p. 061801. [CrossRef]
Blevins, R. D. , 1991, Flow-Induced Vibration, 2nd ed., Van Nostrand Reinhold, New York, pp. 50–86.
Bernitsas, M. M. , 2016, “ Harvesting Energy by Flow Included Motions,” Springer Handbook of Ocean Engineering, M. R. Dhanak and N. I. Xiros , eds., Springer-Verlag, Berlin, Chap. 47. [CrossRef]
Prasanth, T. K. , and Mittal, S. , 2007, “ Vortex-Induced Vibrations of a Circular Cylinder at Low Reynolds Numbers,” J. Fluid Mech., 594, pp. 463–491.

Figures

Grahic Jump Location
Fig. 1

Two circular cylinders of equal diameter in cross flow

Grahic Jump Location
Fig. 2

Fluctuating lift CL′ and drag CD′ coefficients, and mean lift coefficient CL in the TrSL and transition in shear layers regime regimes. Modified from Zdravkovich [17].

Grahic Jump Location
Fig. 3

Classification of FIV displacement of two elastically mounted circular cylinders. The oscillation amplitudes of an isolated cylinder are superimposed for comparison: (a) pattern I (L/D=1.57, T/D=0), (b) pattern II (L/D=2.57, T/D=0), (c) pattern III (L/D=1.57, T/D=1), (d) pattern IV (L/D=1.57, T/D=2), and (e) pattern V (L/D=4.57, T/D=1).

Grahic Jump Location
Fig. 4

Vibration patterns in the parametric plane of L/D−T/D. The classification of interference regimes by Alam and Meyer [16], shown by the dashed lines, is superimposed for comparison.

Grahic Jump Location
Fig. 5

Root-mean-square lift coefficients of flow-induced vibration of two elastically mounted circular cylinders: (a) pattern I (L/D=1.57, T/D=0), (b) pattern II (L/D=2.57, T/D=0), (c) pattern III (L/D=1.57, T/D=1), (d) pattern IV (L/D=1.57, T/D=2), and (e) pattern V (L/D=4.57, T/D=1)

Grahic Jump Location
Fig. 6

Dominant frequencies in displacement and lift: (a) pattern I (L/D=1.57, T/D=0), (b) pattern II (L/D=2.57, T/D=0), (c) pattern III (L/D=1.57, T/D=1), (d) pattern IV (L/D=1.57, T/D=2), and (e) pattern V (L/D=4.57, T/D=1)

Grahic Jump Location
Fig. 7

Time-series of normalized displacement and lift coefficient: (a) L/D = 1.57, T/D = 0, and Ur = 15.7, (b) L/D = 1.57, T/D = 0, and Ur = 9.0, (c) L/D = 2.57, T/D = 0, and Ur = 10.0, and (d) L/D = 1.57, T/D = 2, and Ur = 9.5

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In