Hostname: page-component-586b7cd67f-t7czq Total loading time: 0 Render date: 2024-11-23T03:43:07.277Z Has data issue: false hasContentIssue false

Streamwise vortex-induced vibrations of cylinders with one and two degrees of freedom

Published online by Cambridge University Press:  13 October 2014

N. Cagney
Affiliation:
Department of Earth Sciences, University College London, Gower Street, London WC1E 6BT, UK
S. Balabani*
Affiliation:
Department of Mechanical Engineering, University College London, Torrington Place, London WC1E 7JE, UK
*
Email address for correspondence: [email protected]
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Measurements are presented of the structural response and wake of a two-degree-of-freedom (2-DOF) pivoted cylinder undergoing streamwise vortex-induced vibrations (VIV), which were carried out using particle-image velocimetry (PIV). The results are compared with those of previous studies performed in the same experimental facility examining a cylinder free to move only in the streamwise direction (1-DOF). The aim of this study is to examine to what extent the results of previous work on streamwise-only VIV can be extrapolated to the more practical, multi-DOF case. The response regimes measured for the 1- and 2-DOF cases are similar, containing two response branches separated by a low-amplitude region. The first branch is characterised by negligible transverse motion and the appearance of both alternate and symmetric vortex shedding. The two wake modes compete in an unsteady manner; however, the competition does not appear to have a significant effect on either the streamwise or transverse motion. Comparison of the phase-averaged vorticity fields acquired in the second response branch also indicates that the additional DOF does not alter the vortex-shedding process. However, the additional DOF affects the cylinder-wake system in other ways; for the 1-DOF case the second branch can appear in three different forms (each associated with a different wake mode), while for the 2-DOF case the second branch only exists in one form, and does not exhibit hysteresis. The cylinder follows a figure-of-eight trajectory throughout the lock-in range. The phase angle between the streamwise and transverse motion decreases linearly with reduced velocity. This work highlights the similarities and differences between the fluid–structure interaction and wake dynamics associated with 1- and 2-DOF cylinders throughout the streamwise response regime, which has not received attention to date.

Type
Papers
Creative Commons
Creative Common License - CCCreative Common License - BY
This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/3.0/), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited.
Copyright
© 2014 Cambridge University Press

References

Adaramola, M. S., Akinlade, O. G., Sumner, D., Bergstrom, D. J. & Schenstead, A. J. 2006 Turbulent wake of a finite circular cylinder of small aspect ratio. J. Fluids Struct. 22, 919928.CrossRefGoogle Scholar
Aguirre, J. E.1977 Flow induced, in-line vibrations of a circular cylinder. PhD thesis, Imperial College of Science and Technology.Google Scholar
Balasubramanian, S., Skop, R. A., Haan, F. K. Jr & Szewcyzk, A. A. 2000 Vortex-excited vibrations of uniform pivoted cylinders in uniform and shear flow. J. Fluids Struct. 14, 6485.CrossRefGoogle Scholar
Bearman, P. W. 1984 Vortex shedding from oscillating bluff bodies. Annu. Rev. Fluid Mech. 16, 195222.CrossRefGoogle Scholar
Berkooz, G., Holmes, P. & Lumley, L. 1993 The Proper Orthogonal Decomposition in the analysis of turbulent flows. Annu. Rev. Fluid Mech. 25, 539575.CrossRefGoogle Scholar
Blevins, R. D. & Coughran, C. S. 2009 Experimental investigation of vortex-induced vibrations in one and two dimensions with variable mass, damping, and Reynolds number. Trans. ASME J. Fluids Engng 131 (101202), 17.CrossRefGoogle Scholar
Cagney, N. & Balabani, S. 2013a Mode competition in streamwise-only vortex induced vibrations. J. Fluids Struct. 41, 156165.CrossRefGoogle Scholar
Cagney, N. & Balabani, S. 2013b On multiple manifestations of the second response branch in streamwise vortex-induced vibrations. Phys. Fluids 25, 075110.Google Scholar
Cagney, N. & Balabani, S. 2013c Wake modes of a cylinder undergoing free streamwise vortex-induced vibrations. J. Fluids Struct. 38, 127145.Google Scholar
Dahl, J. M., Hover, F. S., Triantafyllou, M. S., Dong, S. & Karniadakis, G. E. 2007 Resonant vibrations of bluff bodies cause multivortex shedding and high frequency forces. Phys. Rev. Lett. 99, 144503.CrossRefGoogle ScholarPubMed
Dahl, J. M., Hover, F. S., Triantafyllou, M. S. & Oakley, O. H. 2010 Dual resonance in vortex-induced vibrations at subcritical and supercritical Reynolds numbers. J. Fluid Mech. 643, 395424.Google Scholar
Feng, C. C.1963 The measure ment of vortex induced effects in flow past stationary and oscillating circular and d-section cylinders. Master’s thesis, The University of British Columbia, Department of Mechanical Engineering.Google Scholar
Flemming, F. & Williamson, C. H. K. 2005 Vortex-induced vibrations of a pivoted cylinder. J. Fluid Mech. 552, 215252.CrossRefGoogle Scholar
Fox, T. A. & West, G. S. 1993 Fluid-induced loading of cantilevered circular cylinders in a low-turbulence unform flow. Part 2: fluctuating loads on a cantilever of aspect ratio 30. J. Fluids Struct. 7, 1528.Google Scholar
Fujarra, A. L. C., Pesce, C. P., Flemming, F. & Williamson, C. H. K. 2001 Vortex-induced vibrations of a flexible cantilever. J. Fluids Struct. 15, 651658.CrossRefGoogle Scholar
Govardhan, R. & Williamson, C. H. K. 2000 Modes of vortex formation and frequency response of a freely vibrating cylinder. J. Fluid Mech. 420, 85130.Google Scholar
Govardhan, R. & Williamson, C. H. K. 2002 Resonance forever: existence of a critical mass and an infinite regime of resonance in vortex-induced vibration. J. Fluid Mech. 473, 147166.CrossRefGoogle Scholar
Griffin, O. M. & Ramberg, S. E. 1976 Vortex shedding from a cylinder vibrating in line with an incident uniform flow. J. Fluid Mech. 75, 257271.Google Scholar
Hanke, W., Witte, M., Miersch, L., Brede, M., Oeffner, J., Michael, M., Hanke, F., Leder, E. & Dehnhardt, G. 2010 Harbor seal vibrissa morphology suppresses vortex-induced vibrations. J. Expl Biol. 213, 26652672.CrossRefGoogle ScholarPubMed
Horowitz, M. & Williamson, C. H. K. 2010 Vortex-induced vibration of a rising and falling cylinder. J. Fluid Mech. 660, 132.Google Scholar
Jauvtis, N. & Williamson, C. H. K. 2003 Vortex-induced vibration of a cylinder with two degrees of freedom. J. Fluids Struct. 17, 10351042.Google Scholar
Jeon, D. & Gharib, M. 2001 On circular cylinders undergoing two-degrees-of-freedom forced motions. J. Fluids Struct. 15, 533541.CrossRefGoogle Scholar
Khalak, A. & Williamson, C. H. K. 1999 Motions, forces and mode transitions in vortex-induced vibrations at low mass-damping. J. Fluids Struct. 13, 813851.Google Scholar
King, R.1974 Vortex excited structural oscillations of a circular cylinder in flowing water. PhD thesis, Loughborough University of Technology.CrossRefGoogle Scholar
Kitagawa, T., Fujino, Y., Kimura, K. & Mizuno, Y. 2002 Wind pressures measurement on end-cell-induced vibration of a cantilevered circular cylinder. J. Wind Engng Ind. Aerodyn. 90, 395405.Google Scholar
Kitagawa, T., Wakahara, T., Fujino, Y. & Kimura, K. 1997 An experimental study on vortex-induced vibration of a circular cylinder tower at a high wind speed. J. Wind Engng Ind. Aerodyn. 69–71, 731744.Google Scholar
Konstantinidis, E. 2014 On the response and wake modes of a cylinder undergoing streamwise vortex-induced vibrations. J. Fluids Struct. 45, 256262.Google Scholar
Konstantinidis, E. & Balabani, S. 2007 Symmetric vortex shedding in a near wake of a circular cylinder due to streamwise perturbations. J. Fluids Struct. 23, 10471063.CrossRefGoogle Scholar
Konstantinidis, E., Balabani, S. & Yianneskis, M. 2003 The effect of flow perturbations on the near wake characteristics of a circular cylinder. J. Fluids Struct. 18, 367386.Google Scholar
Konstantinidis, E., Balabani, S. & Yianneskis, M. 2007 Bimodal vortex shedding in a perturbed cylinder wake. Phys. Fluids 19, 011701.Google Scholar
Leong, C. M. & Wei, T. 2008 Two-degree-of-freedom vortex-induced vibrations of a pivoted cylinder below critical mass ratio. Proc. R. Soc. Lond. A 464, 29072927.Google Scholar
Levy, B. & Liu, Y. 2013 The effects of cactus inspired spines on the aerodynamics of a cylinder. J. Fluids Struct. 39, 335346.CrossRefGoogle Scholar
Morse, T. L. & Williamson, C. H. K. 2009 Prediction of vortex-induced vibration response by employing controlled motion. J. Fluid Mech. 634, 539.Google Scholar
Morse, T. L. & Williamson, C. H. K. 2010 Steady, unsteady and transient vortex-induced vibration predicted using controlled motion data. J. Fluid Mech. 649, 429451.CrossRefGoogle Scholar
Nakamura, A., Okajima, A. & Kosugi, T. 2001 Experiments on flow-induced in-line oscillation of a circular cylinder in a water tunnel. JSME Intl J. 44 (4), 705711 (2nd report, influence of aspect ratio of a cantilevered circular cylinder).Google Scholar
Naudascher, E. 1987 Flow-induced streamwise vibrations of structures. J. Fluids Struct. 1, 265298.CrossRefGoogle Scholar
Nishihara, T., Kaneko, S. & Watanabe, T. 2005 Characteristics of fluid dynamic forces acting on a circular cylinder oscillating in a streamwise direction and its wake patterns. J. Fluids Struct. 20, 505518.Google Scholar
Okajima, A., Kosugi, T. & Nakamura, A. 2001 Experiments on flow-induced in-line oscillation of a circular cylinder in a water tunnel. JSME Intl J. 4 (4), 695704 (1st report, the difference of the response characteristics when a cylinder is elastically supported at both ends and cantilevered).Google Scholar
Okajima, A., Kosugi, T. & Nakamura, A. 2002 Flow-induced in-line oscillation of a circular cylinder in a water tunnel. J. Press. Vessel Technol. 124, 8996.CrossRefGoogle Scholar
Okajima, A., Nakamura, A., Kosugi, T., Uchida, H. & Tamaki, R. 2003 Flow-induced in-line oscillation of a circular cylinder. Eur. J. Mech. (B/Fluids) 23, 115125.Google Scholar
Ongoren, A. & Rockwell, D. 1988 Flow structure from an oscillating cylinder Part 2. Mode competition in the near wake. J. Fluid Mech. 191, 225245.CrossRefGoogle Scholar
Perdikaris, P. G., Kaiktsis, L. & Triantafyllou, G. S. 2009 Chaos in a cylinder wake due to forcing at the Strouhal frequency. Phys. Fluids 21, 101705.CrossRefGoogle Scholar
Sanchis, A., Saelevik, G. & Grue, J. 2008 Two-degree-of-freedom vortex-induced vibrations of a spring-mounted rigid cyliinder with low mass ratio. J. Fluids Struct. 24, 907919.Google Scholar
Sarpkaya, T. 1995 Hydrodynamic damping, flow-induced oscillations and biharmonic response. Trans. ASME 117, 232238.Google Scholar
Sarpkaya, T. 2004 A critical review of the intrinisic nature of vortex-induced vibrations. J. Fluids Struct. 19, 389447.CrossRefGoogle Scholar
Stanislas, M., Okamoto, K. & Kähler, C. 2003 Main results of the First International PIV Challenge. Meas. Sci. Technol. 14, 6389.CrossRefGoogle Scholar
Techet, A. H., Hover, F. S. & Triantafyllou, M. S. 1998 Vortical patterns behind a tapered cylinder oscillating transversely to a uniform flow. J. Fluid Mech. 363, 7996.CrossRefGoogle Scholar
van Oudheusden, B. W., Scarano, F., Hinsberg, N. P. & Watt, D. W. 2005 Phase-resolved characterization of vortex shedding in the near wake of a square-section cylinder at incidence. Exp. Fluids 39, 8698.Google Scholar
Voorhees, A., Atsavapranee, P., Benaroya, H. & Wei, T. 2008 Beating of a circular cylinder mounted as an inverted pendulum. J. Fluid Mech. 610, 217247.Google Scholar
Voorhees, A. & Wei, T.2002 Three-dimensionality in the wake of a surface piercing cylinder mounted as an inverted pendulum. In Proceedings of BBVIV-3 Conference on Bluff Body Wakes and Vortex-Induced Vibrations, Port Douglas, Australia (ed. K. Hourigan, K. Leweke, T. Thompson & C. H. K. Williamson) Monash University.Google Scholar
Williamson, C. H. K. & Govardhan, R. 2004 Vortex-induced vibrations. Annu. Rev. Fluid Mech. 36, 413455.Google Scholar
Williamson, C. H. K. & Jauvtis, N. 2004 A high-amplitude 2T mode of vortex-induced vibration for a light body in ${XY}$ motion. Eur. J. Mech. (B/Fluids) 23, 107114.CrossRefGoogle Scholar
Williamson, C. H. K. & Roshko, A. 1988 Vortex formation in the wake of an oscillating cylinder. J. Fluids Struct. 2, 355381.CrossRefGoogle Scholar