Analytical modelling prediction by using wake oscillator model for vortex-induced vibrations

Authors

  • W.N.W. Hussin School of Ocean Engineering, Universiti Malaysia Terengganu, Terengganu, Malaysia
  • F.N. Harun School of Informatics and Applied Mathematics, Terengganu, Malaysia
  • M.H. Mohd School of Ocean Engineering, Universiti Malaysia Terengganu, Terengganu, Malaysia
  • M.A.A. Rahman School of Ocean Engineering, Universiti Malaysia Terengganu, Terengganu, Malaysia

DOI:

https://doi.org/10.15282/jmes.11.4.2017.14.0280

Keywords:

vortex-induced vibrations; wake oscillator model, circular cylinder; van der pol equation; vortex-induced motions.

Abstract

Explorations by oil and gas companies have moved from shallow to deep water to satisfy consumers' changing needs. A circular- shaped cylinder structure placed in deep water is also known spar platform, is normally floated and subjected to severe conditions which cause unpleasant motions and fatigue damage to the structure. Wake oscillator model is considered a semi-empirical model that is most suitable for the evaluation of Vortexinduced Vibrations (VIV) structure features during the design stage. This work focuses on validation of wake oscillator model for VIV with previously semi-empirical method. Wake oscillator and structure oscillator models are coupled based on the Van der Pol Equation. The coupled models were evaluated and analytically validated. The results showed a qualitative and quantitative agreement with previous analytical, at the same maximum peak amplitude response,

References

Williamson Sr A, Tsay L-S, Kateeb IA, Burton” L. “Solutions for RFID Smart Tagged Card Security Vulnerabilities”. AASRI Procedia. 2013;4:282-7.

Zhao M, Kaja K, Xiang Y, Yan G. Vortex-induced vibration (VIV) of a circular cylinder in combined steady and oscillatory flow. Ocean Engineering. 2013;73:83-95.

Rahman M, Thiagarajan K. Experiments on vortex-induced vibration of a vertical cylindrical structure: Effect of low aspect ratio. International Journal of Automotive and Mechanical Engineering. 2015;11:2515.

Franzini G, Fujarra ALC, Meneghini JR, Korkischko I, Franciss R. Experimental investigation of vortex-induced vibration on rigid, smooth and inclined cylinders. Journal of Fluids and Structures. 2009;25:742-50.

Facchinetti ML, De Langre E, Biolley F. Vortex-induced travelling waves along a cable. European Journal of Mechanics-B/Fluids. 2004;23:199-208.

Khalak A, Williamson CH. Motions, forces and mode transitions in vortex-induced vibrations at low mass-damping. Journal of Fluids and Structures. 1999;13:813-51.

Zhao M, Cheng L, An H. Numerical investigation of vortex-induced vibration of a circular cylinder in transverse direction in oscillatory flow. Ocean Engineering. 2012;41:39-52.

Sarpkaya T. A critical review of the intrinsic nature of vortex-induced vibrations. Journal of Fluids and Structures. 2004;19:389-447.

Stappenbelt B, O’Neill L. Vortex-Induced Vibration of Cylindrical Structures With Low Mass Ratio. The Seventeenth International Offshore and Polar Engineering Conference: International Society of Offshore and Polar Engineers; 2007.

Modir A, Kahrom M, Farshidianfar A. Mass ratio effect on vortex induced vibration of a flexibly mounted circular cylinder, an experimental study. International journal of marine energy. 2016;16:1-11.

Srinil N, Zanganeh H. Modelling of coupled cross-flow/in-line vortex-induced vibrations using double Duffing and van der Pol oscillators. Ocean Engineering. 2012;53:83-97.

Govardhan R, Williamson C. Modes of vortex formation and frequency response of a freely vibrating cylinder. Journal of Fluid Mechanics. 2000;420:85-130.

Gonçalves RT, Rosetti GF, Franzini GR, Meneghini JR, Fujarra ALC. Two-degree-of-freedom vortex-induced vibration of circular cylinders with very low aspect ratio and small mass ratio. Journal of Fluids and Structures. 2013;39:237-57.

Branković M, Bearman P. Measurements of transverse forces on circular cylinders undergoing vortex-induced vibration. Journal of Fluids and Structures. 2006;22:829-36.

Billah KY, Scanlan RH. Resonance, Tacoma Narrows bridge failure, and undergraduate physics textbooks. American Journal of Physics. 1991;59:118-24.

!!! INVALID CITATION !!! [3, 11, 16-21].

Gabbai R, Benaroya H. An overview of modeling and experiments of vortex-induced vibration of circular cylinders. Journal of Sound and Vibration. 2005;282:575-616.

Low YM, Srinil N. VIV fatigue reliability analysis of marine risers with uncertainties in the wake oscillator model. Engineering Structures. 2016;106:96-108.

Rahman MAA, Thiagarajan K, Leggoe J, Fitriadhy A. Wake Oscillator Model for Vortex-Induced Vibrations Predictions on Low Aspect Ratio Structures. Science and Engineering. 2015;15.

Jin Y, Dong P. A novel Wake Oscillator Model for simulation of cross-flow vortex induced vibrations of a circular cylinder close to a plane boundary. Ocean Engineering. 2016;117:57-62.

Postnikov A, Pavlovskaia E, Wiercigroch M. 2DOF CFD calibrated wake oscillator model to investigate vortex-induced vibrations. International Journal of Mechanical Sciences. 2017;127:176-90.

Parracho J. A Semi-Empirical Model for Vortex-Induced Vibrations of Tall Circular Towers. 2012.

Facchinetti ML, De Langre E, Biolley F. Coupling of structure and wake oscillators in vortex-induced vibrations. Journal of Fluids and Structures. 2004;19:123-40.

Sinsabvarodom C, Widjaja JH. The innovative hybrid Cell-Truss Spar Buoy Platform for moderate water depth. Ocean Engineering. 2016;113:90-100.

Blevins RD. Flow-induced vibration. 1990.

Pantazopoulos MS. Vortex-induced vibration parameters: critical review. American Society of Mechanical Engineers, New York, NY (United States); 1994.

Stansby P. The locking-on of vortex shedding due to the cross-stream vibration of circular cylinders in uniform and shear flows. Journal of Fluid Mechanics. 1976;74:641-65.

King R. Vortex excited oscillations of yawed circular cylinders. Journal of Fluids Engineering. 1977;99:495-501.

Hussin et al. / Journal of Mechanical Engineering and Sciences 11(4) 2017 3116-3128

Griffin O. Vortex-excited cross-flow vibrations of a single cylindrical tube. Journal of Pressure Vessel Technology. 1980;102:158-66.

Bishop R, Hassan A. The lift and drag forces on a circular cylinder oscillating in a flowing fluid. Proc R Soc Lond A: The Royal Society; 1964. p. 51-75.

Pullin D, Saffman P. Vortex dynamics in turbulence. Annual Review of Fluid Mechanics. 1998;30:31-51.

Bearman PW. Vortex shedding from oscillating bluff bodies. Annual Review of Fluid Mechanics. 1984;16:195-222.

Balasubramaniam C, Goodfellow J, Price N, Kirkpatrick N. Opacification of the Hydroview H60M intraocular lens: Total patient recall. Journal of Cataract & Refractive Surgery. 2006;32:944-8.

Krenk S, Nielsen SR. Energy balanced double oscillator model for vortex-induced vibrations. Journal of Engineering Mechanics. 1999;125:263-71.

Sumer B, Fredsøe J. Hydrodynamics Around Cylindrical Structures (Advanced Series on Ocean Engineering), Revised Edition, Vol. 26. World Scientific, Singapore; 2006.

Downloads

Published

2017-12-31

How to Cite

[1]
W. Hussin, F. Harun, M. Mohd, and M. Rahman, “Analytical modelling prediction by using wake oscillator model for vortex-induced vibrations”, J. Mech. Eng. Sci., vol. 11, no. 4, pp. 3116–3128, Dec. 2017.

Issue

Vol. 11 No. 4 (2017): December 2017

Section

Article

License

Copyright (c) 2017 The Author(s)

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.