Second Sub-Harmonic Resonance in Vortex-Induced Vibrations of a Marine Pipeline Close to the Seabed
In this paper, using the method of multiple scales, the second sub-harmonic resonance in vortex-induced vibrations (VIV) of a marine pipeline close to the seabed is investigated based on a developed wake oscillator model. The amplitude-frequency equations are also derived. It is found that the oscillation will increase all the time when both discriminants of the amplitude-frequency equations are positive while the oscillation will decay when the discriminants are negative.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1125163Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 950
 Fredsoe J, Sumer B, Andersen J, Hansen E. Transverse vibrations of a cylinder very close to a plane wall. J Offshore Mech Arct 1987; 109 (1):52-60.
 Tsahalis DT, Jones WT. Vortex-induced vibrations of a flexible cylinder near a plane boundary in steady flow. In: Proceeding of the 13th Annual Offshore Technology Conference, Houston: 1981.
 Tsahalis DT. Vortex-induced vibrations due to steady and wave-induced currents of a flexible cylinder near a plane boundary. J Offshore Mech Arct 1987;109(2):112-118.
 Yang B, Gao FP, Jeng DS, Wu YX. Experimental study of vortex-induced vibrations of a pipeline near an erodible sandy seabed. Ocean Eng 2008;35(3-4):301-309.
 Yang B, Gao FP, Jeng DS, Wu YX. Experimental study of vortex-induced vibrations of a cylinder near a rigid plane boundary in steady flow. Ocean Eng 2009;25(1):51-63.
 Sarpkaya T. Computational methods with vortices—the 1988 Freeman scholar lecture. J Fluid Eng 1989;111(1):5-52.
 Newman DJ, Karniadakis GE. A direct numerical simulation study of flow past a freely vibrating cable. J Fluid Mech1997;344:95-136.
 Hall MS, Griffin OM. Vortex shedding and lock-on in a perturbed flow. J Fluid Eng 1993;115(2):283-291.
 Shiels D, Simulation of controlled bluff body flow with a viscous vortex method. California Institute of Technology: Pasadena, 1998.
 Blevins RD. Application of the discrete vortex method to fluid-structure interaction. J Pressure Vessel Te 1991;113(3):437-445.
 Blackburn H, Henderson R. Lock-in behavior in simulated vortex-induced vibration. Exp Therm Fluid Sci 1996;12(2):184-189.
 Pontaza JP, Chen HC. Three-dimensional numerical simulations of circular cylinders undergoing two degree-of-freedom vortex-induced vibrations. J Offshore Mech Arct 2007;129(3):158-164.
 Wu X, Ge F, Hong Y. A review of recent studies on vortex-induced vibrations of long slender cylinders. J FluidStruct2012;28:292-308.
 Jin YM, 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 Eng 2016;117:57-62.
 Ong MC, Utnes T, Holmedal LE, Myrhaug D, Pettersen B. Numerical simulation of flow around a circular cylinder close to a flat seabed at high Reynolds numbers using a k–ε model. Coast Eng 2010;57(10):931-947.
 Zhao M, Cheng L. Numerical simulation of two-degree-of-freedom vortex-induced vibration of a circular cylinder close to a plane boundary. J Fluid Struct 2011;27(7):1097-1110.
 Facchinetti ML, De Langre E, Biolley F. Coupling of structure and wake oscillators in vortex-induced vibrations. J Fluid Strut 2004;19(2):123-140.
 Nayfeh AH. Introduction to perturbation techniques. New York: Wiley; 1993