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Vortex-induced vibrations of a long flexible circular cylinder

  • D. Brika (a1) and A. Laneville (a1)
Abstract

In an experimental study of the vortex-induced oscillations of a long flexible circular cylinder, the observed stationary amplitudes describe an hysteresis loop partially different from earlier studies. Each branch of the loop is associated with a vortex shedding mode and, as a jump from one branch to the other occurs, the phase difference between the cylinder displacement and the vortex shedding undergoes an abrupt change. The critical flow velocities at which the jump occurs concur with the flow visualization observations of Williamson & Roshko (1988) on the vortex shedding modes near the fundamental synchronization region. Impulsive regimes, obtained at a given flow velocity with the cylinder initially at rest or pre-excited, and progressive regimes resulting from a variation of the flow velocity, are examined. The occurrence of bifurcations is detected for a flow velocity range in the case of the impulsive regimes. The coordinates of the bifurcations define a boundary between two vortex shedding modes, a boundary that verifies the critical curve obtained by Williamson & Roshko (1988). The experimental set-up of this study simulates half the wavelength of a vibrating cable, eliminates the end effects present in oscillating rigid cylinder set-up and has one of the lowest damping ratios reported for the study of this phenomenon.

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Angrilli, F., Di Silvio, G. & Zanardo, D. 1974 Hydroelasticity study of a circular cylinder in a water stream. In Flow-induced Structural Vibrations (ed. E. Naudascher), pp. 504512. Springer.
Batchelor, G. K. 1967 An Introduction to Fluid Dynamics. Cambridge University Press.
Bearman, P. W. 1984 Vortex shedding from oscillating bluff bodies. Ann. Rev. Fluid Mech. 16, 195222.
Berger, E. 1984 Zwei Fundamentale Aspekte Wirbelerregter Schwingungen. German-Fottinger, Intitut Für Thermo-und Fluiddynamik, Berlin, 343/12.
Bishop, R. E. D. & Hassan, A. Y. 1964a The lift and drag forces on a circular cylinder in a flowing fluid. Proc. R. Soc. Lond. A 277, 3250.
Bishop, R. E. D. & Hassan, A. Y. 1964b The lift and drag forces on a circular cylinder oscillating in a flowing fluid. Proc. R. Soc. Lond. A 277, 5175.
Blevins, R. D. 1977 Flow-Induced Vibration. Van Nostrand Reinhold.
Brika, D. 1990 Étude expérimental des vibrations éoliennes d'un cylindre flexible à différentes incidences. PhD thesis, Université de Sherbrooke.
Chen, Y. N. 1972 Fluctuating lift forces of Kármán vortex street on single circular cylinder and in tube bundles. Part 1: the vortex street geometry of the single circular cylinder. Trans. ASME B: J. Engng Indust. 94, 603612.
Feng, C. C. 1968 The measurement of vortex-induced effects in flow past stationary and oscillating circular and D-Section cylinders. MASc thesis, University of British Columbia.
Ferguson, N. 1965 The measurement of wake and surface effects in the subcritical flow past a circular cylinder at rest and in vortex-excited oscillation. MASc thesis, University of British Columbia.
Griffin, O. M. & Ramberg, S. E. 1974 The vortex street wakes of vibrating cylinders. J. Fluid Mech. 66, 553576.
Hartlen, R. T. & Currie, J. G. 1970 Lift oscillator model of vortex induced vibration. J. Engng Mech. Div. ASCE 96 (EM5), 577591.
Hartog, J. P. den 1934 The vibration problem in engineering. Proc. 4th Intl Cong. Appl. Mech., Cambridge, pp. 3653.
Holmes, P. J. & Rand, D. A. 1976 The bifurcation of Duffing's equation: an application of catastrophe theory. J. Sound Vib. 44, 237253.
Landl, R. 1975 A mathematical model for vortex-excited vibrations of bluff bodies. J. Sound Vib. 42, 219234.
Meier-Windhorst, A. 1939 Flatterschwingungen von zylindern in gleichmässigen Flüssigkeitsstrom. Mitteilungen Hydraul. Inst. Techn. Hochschule, München, 9, 39.
Öngören, A. & Rockwell, D. 1988a Flow structure from an oscillating cylinder. Part 1. Mechanisms of phase shift and recovery in the near wake. J. Fluid Mech. 191, 197223.
Öngören, A. & Rockwell, D. 1988b Flow structure from an oscillating cylinder. Part 2. Mode competition in the near wake. J. Fluid Mech. 191, 225245.
Pankhurst, R. C. & Holder, D. W. 1962 Wind Tunnel Technique. Pitman.
Parkinson, G. V. 1989 Phenomena and modelling of flow-induced vibrations of bluff bodies. Prog. Aerospace Sci. 26, 169224.
Rawlins, C. B. 1983 Wind tunnel measurements of the power imported to a model of a vibrating conductor. IEEE Trans. Pow. App. Syst. PAS 102, 963971.
Sarpkaya, T. 1979 Vortex-induced oscillations – A selective review. Trans. ASME E: J. Appl. Mech. 46, 241258.
Stansby, P. K. 1976 Base pressure of oscillating circular cylinders. J. Engng Mech. Div. ASCE 102 (EM4), 591600.
Williamson, C. H. K. & Roshko, A. 1988 Vortex formation in the wake of an oscillating cylinder. J. Fluids Struct. 2, 355381.
Zdravkovich, M. M. 1982 Modification of vortex shedding in the synchronization range. Trans. ASME I: J. Fluids Engng 104, 513517.
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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
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