An investigation on VIV of a single 2D elastically-mounted cylinder with different mass ratios

Abstract

The effect of the mass of a 2D elastically-mounted circular cylinder in cross-flow on its vortex-induced vibrations and on the related vortex shedding lift forces is analyzed via a single-degree-of-freedom multi-frequency model (sdof-mf). The mechanical system in question is characterized by low mass ratio, low structural damping and Reynolds number of order \(10^4\). The proposed sdof-mf model relies on the decomposition of the total hydrodynamic force in a inertia/drag force, conventionally associated with the cylinder motion in still fluid, and an additional lift force associated to pure vortex shedding. The lift force is assumed to be composed by not-Fourier-dependent harmonics; this constitutes the key point of the proposed sdof-mf model. The parameters of this model are determined via a parameter identification method based, in this case, on VIV data obtained via CFD. The simulations are carried out changing systematically the values of the mass ratio, within the range of engineering practice, and covering a wide range of flow regimes including lock-in conditions. The results from the application of the sdof-mf model highlight the large influence of the mass ratio on the response of the cylinder and on the vortex shedding lift force. The effects are clearly visible on the maximum amplitude at lock-in, on the range of incident flow velocity over which synchronization occurs, on ultra/sub harmonic behavior and phase lag of the cylinder motion, and finally on the magnitude and harmonic content of the lift force induced by pure vortex shedding.

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References

  1. 1.

    Bearman P (1984) Vortex shedding from oscillating bluff bodies. Ann Rev Fluid Mech 16(1):195–222

    Article  Google Scholar 

  2. 2.

    Govardhan R, Williamson C (2000) Modes of vortex formation and frequency response of a freely vibrating cylinder. J Fluid Mech 420:85–130. https://doi.org/10.1017/S0022112000001233

    MathSciNet  Article  MATH  Google Scholar 

  3. 3.

    Gabbai R, Benaroya H (2005) An overview of modeling and experiments of vortex-induced vibration of circular cylinders. J Sound Vib 282:575–616. https://doi.org/10.1016/j.jsv.2004.04.017

    Article  Google Scholar 

  4. 4.

    Williamson C, Govardhan R (2008) A brief review of recent results in vortex-induced vibrations. J Wind Eng Ind Aerodyn 96:713–735. https://doi.org/10.1016/j.jweia.2007.06.019

    Article  Google Scholar 

  5. 5.

    Bearman P (2011) Circular cylinder wakes and vortex-induced vibrations. J Fluids Struct 27:648–658. https://doi.org/10.1016/j.jfluidstructs.2011.03.021

    Article  Google Scholar 

  6. 6.

    Khalak A, Williamson C (1996) Dynamics of a hydroelastic cylinder with very low mass and damping. J Fluids Struct 10(5):455–472. https://doi.org/10.1006/jfls.1996.0031

    Article  Google Scholar 

  7. 7.

    Vikestad K, Vandiver J, Larsen C (2000) Added mass and oscillation frequency for a circular cylinder subjected to vortex-induced vibrations and external disturbance. J Fluids Struct 14:1071–1088. https://doi.org/10.1006/jfls.2000.0308

    Article  Google Scholar 

  8. 8.

    Norberg C (2003) Fluctuating lift on a circular cylinder: review and new measurements. J Fluids Struct 17:57–96. https://doi.org/10.1016/S0889-9746(02)00099-3

    Article  Google Scholar 

  9. 9.

    Guilmineau E, Queutey P (2004) Numerical simulation of vortex-induced vibration of a circular cylinder with low mass-damping in a turbulent flow. J Fluids Struct 19(4):449–466. https://doi.org/10.1016/j.jfluidstructs.2004.02.004

    Article  Google Scholar 

  10. 10.

    Wanderley J, Souza G, Sphaier S, Levi C (2008) Vortex-induced vibration of an elastically mounted circular cylinder using an upwind TVD two-dimensional numerical scheme. Ocean Eng 35(14):1533–1544. https://doi.org/10.1016/j.oceaneng.2008.06.007

    Article  Google Scholar 

  11. 11.

    Wu W, Bernitsas MM, Maki K (2014) RANS simulation versus experiments of flow induced motion of circular cylinder with passive turbulence control at \(35,000< RE < 130,000\). J Offshore Mech Arct Eng 136(4):041802

    Article  Google Scholar 

  12. 12.

    Mittal N, Mittal S (2016) Lock-in in vortex-induced vibration. J Fluid Mech 794:565–594. https://doi.org/10.1017/jfm.2016.157

    MathSciNet  Article  Google Scholar 

  13. 13.

    Bahmani MH, Akbari MH (2010) Effects of mass and damping ratios on VIV of a circular cylinder. Ocean Eng 17:511–519. https://doi.org/10.1016/j.oceaneng.2010.01.004

    Article  Google Scholar 

  14. 14.

    Modir A, Kahrom M, Farshidianfar A (2016) Mass ratio effect on vortex induced vibration of a flexibly mounted circular cylinder, an experimental study. J Mar Energy 16:1–11. https://doi.org/10.1016/j.ijome.2016.05.001

    Article  Google Scholar 

  15. 15.

    Contento G, Lupieri G, Jasak H, Vukčević V (2015) Numerical study of unsteady breaking waves induced by a submerged hydrofoil at steady forward speed. In: NAV 2015 18th international conference on ships and shipping research

  16. 16.

    Lupieri G, Contento G (2015) Numerical simulations of 2-D steady and unsteady breaking waves. Ocean Eng 106:298–316. https://doi.org/10.1016/j.oceaneng.2015.07.014

    Article  Google Scholar 

  17. 17.

    Morgut M, Jošt D, Nobile E, Škerlavaj A (2015) Numerical investigation of the flow in axial water turbines and marine propellers with scale-resolving simulations, 33rd UIT (Italian Union of Thermo-fluiddynamics) Heat Transfer Conference. J Phys Conf Ser 655:12–52. https://doi.org/10.1088/1742-6596/655/1/012052

    Article  Google Scholar 

  18. 18.

    Lupieri G, Contento G (2017) On the wavy flow past a weakly submerged horizontal circular cylinder at low Keulegan–Carpenter numbers. J Mar Sci Technol 22(4):673–693. https://doi.org/10.1007/s00773-017-0445-y

    Article  Google Scholar 

  19. 19.

    Pigazzini R, Contento G, Martini S, Puzzer T, Morgut M, Mola A (2018) VIV analysis of a single elastically-mounted 2D cylinder: parameter identification of a single-degree-of-freedom multi-frequency model. J Fluids Struct 78:299–313. https://doi.org/10.1016/j.jfluidstructs.2018.01.005

    Article  Google Scholar 

  20. 20.

    Sarpkaya T, Isaacson M (1981) Mechanics of wave forces on offshore structures. Van Nostrand Reinhold, New York

    Google Scholar 

  21. 21.

    Morison J, O’Brien M, Johnson J, Schaaf S (1950) The force exerted by surface waves on piles. Petrol Trans 189:149–154. https://doi.org/10.2118/950149-G

    Article  Google Scholar 

  22. 22.

    Levenberg K (1944) A method for the solution of certain non-linear problems in least squares. Quart Appl Math 2(2):164–168

    MathSciNet  Article  Google Scholar 

  23. 23.

    Marquardt D (1963) An algorithm for the least-squares estimation of nonlinear parameters. J Soc Ind Appl Math 11(2):431–441

    MathSciNet  Article  Google Scholar 

  24. 24.

    Kinaci OK (2016) 2-D URANS simulations of vortex induced vibrations of circular cylinder at Trsl3 flow regime. J Appl Fluid Mech 9(5):2537–2544

    MathSciNet  Google Scholar 

  25. 25.

    Pan Z, Cui W, Miao Q (2007) Numerical simulation of vortex-induced vibration of a circular cylinder at low mass-damping using RANS code. J Fluids Struct 23(1):23–37

    Article  Google Scholar 

Download references

Acknowledgements

The Regional Program POR FESR 2014 2020-1.3.b-Ricerca e sviluppo-Aree tecnologie marittime e smart health of the Regione Friuli-Venezia Giulia is acknowledged for providing the financial support of the SOPHYA Project. The Scholarship co-funded by the EUROPEAN SOCIAL FUND, Axis 3 EDUCATION AND TRAINING, OPERATION ESF S3: Scholarships in FRIULI VENEZIA GIULIA is also acknowledged.

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Correspondence to Giorgio Contento.

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Pigazzini, R., Contento, G., Martini, S. et al. An investigation on VIV of a single 2D elastically-mounted cylinder with different mass ratios. J Mar Sci Technol 24, 1078–1091 (2019). https://doi.org/10.1007/s00773-018-0607-6

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Keywords

  • VIV
  • sdof-mf model
  • Parameter Identification
  • Mass ratio