A higher-order nonlinear oscillator model for coupled cross-flow and in-line VIV of a circular cylinder

References

• Bishop RED, Hassan AY. 1964. The lift and drag forces on a circular cylinder in a flowing fluid. R Soc London Proc. 277(1368):32–50.
   Google Scholar
• Blevins RD, Coughran CS. 2009. Experimental investigation of vortex-induced vibration in one and two dimensions with variable mass, damping and Reynolds number. J Fluid Eng Trans ASME. 131(10):101202–101207.
   Web of Science ®Google Scholar
• Dolatabadi N, Farshidianfar A, Naranjani Y. 2011. Consideration of Lock-in using a modified wake oscillator in vortex induced vibrations about a cylinder. In: McIntyre Tim, editor. ISVA 2011. 1st International Conference on Acoustics and Vibration; Tehran, Iran. p. 1272.
   Google Scholar
• Facchinetti ML, Langre ED, Biolley F. 2002. Vortex shedding modeling using diffusive Van der Pol oscillators. Comptes rendus – Mécanique. 330(7):451–456.
   Web of Science ®Google Scholar
• Facchinetti ML, Langre ED, Biolley F. 2004. Coupling of structure and wake oscillators in vortex-induced vibrations. J Fluid Struct. 19(2):123–140.
   Web of Science ®Google Scholar
• Farshidianfar A, Zanganeh H. 2010. A modified wake oscillator model for vortex-induced vibration of circular cylinders for a wide range of mass-damping ratio. J Fluid Struct. 26(3):430–441.
   Web of Science ®Google Scholar
• Gao Y, Zong Z, Zou L, et al. 2017. Effect of surface roughness on vortex-induced vibration response of a circular cylinder. Ships Offshore Struct. 13(1):28–42.
   Web of Science ®Google Scholar
• Govardhan R, Williamson CHK. 2000. Modes of vortex formation and frequency response of a freely vibrating cylinder. J Fluid Mech. 420:85–130.
   Google Scholar
• Griffin OM, Skop RA. 1976. The vortex-induced oscillations of structures. J Sound Vib. 44(2):303–305.
   Web of Science ®Google Scholar
• 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.
   Web of Science ®Google Scholar
• Hartlen RT, Currie IG. 1970. Lift-oscillator model of vortex induced vibration. J Eng Mech. 96(5):577–591.
   Google Scholar
• Hartlen RT, Currie IG, Hartlen RT, Currie IG. 1970. Lift-oscillator model of vortex-induced vibration. J Eng Mech Div. 96(5):577–591.
   Google Scholar
• Jauvtis N, Williamson CHK. 2004. The effect of two degrees of freedom on vortex-induced vibration at low mass and damping[J]. J Fluid Mech. 509:23–62.
   Web of Science ®Google Scholar
• Landl R. 1975. A mathematical model for vortex-excited vibrations of bluff bodies. J Sound Vib. 42(2):219–234.
   Web of Science ®Google Scholar
• Nayfeh, AH. 1979. Introduction to perturbation techniques. New York (NY): Wiley.
   Google Scholar
• Nguyen VT, Nguyen HH. 2016. Detached eddy simulations of flow induced vibrations of circular cylinders at high Reynolds numbers. J Fluids Struct. 63:103–119.
   Web of Science ®Google Scholar
• Ogink RHM, Metrikine AV. 2010. A wake oscillator with frequency dependent coupling for the modeling of vortex-induced vibration. J Sound Vib. 329(26):5452–5473.
   Web of Science ®Google Scholar
• Pantazopoulos MS. 1994. Vortex-induced vibration parameters: Critical review. In: Proceedings of the 17th International Conference on Offshore Mechanics and Arctic Engineering; Osaka, Japan. pp. 199–255.
   Google Scholar
• Prasanth TK, Mittal S. 2008. Effect of blockage on free vibration of a circular cylinder at low Re. Int J Numer Methods Fluid. 58(10):1063–1080.
   Web of Science ®Google Scholar
• Qin W, Kang Z, Song R. 2012. Research on wake-oscillator model in 2-DOF vortex-induced vibration of cylinder based on discrete point vortex. Eng Mech. 29(9):294–299.
   Google Scholar
• Rahman MAA, Leggoe J, Thiagarajan K, Mohd MH, Paik JK. 2016. Numerical simulations of vortex-induced vibrations on vertical cylindrical structure with different aspect ratios. Ships Offshore Struct. 11(4):1–19.
   Web of Science ®Google Scholar
• Srinil N, Zanganeh H. 2012. Modeling of coupled cross-flow/in-line vortex-induced vibration using double duffing and Van der Pol oscillators. Ocean Eng. 53(3):83–97.
   Google Scholar
• Stappenbelt B, Lalji F, Tan G. 2007. Low mass ratio vortex-induced motion. In: Jacobs P, editor. AFMC 2007. Proceedings of the 16th Australasian Fluid Mechanics Conference Crown Plaza, Gold Coast; Queensland, Australia. p. 201–209.
   Google Scholar
• Wanderley JBV, Soares LFN. 2015. Vortex-induced vibration on a two-dimensional circular cylinder with low Reynolds number and low mass-damping parameter. Ocean Eng. 97:156–164.
   Web of Science ®Google Scholar
• Xu J, Wang D, Huang H, Duan M, Gu J, An C. 2017. A vortex-induced vibration model for the fatigue analysis of a marine drilling riser. Ships Offshore Struct. 12(Sup1):S280–S287.
   Web of Science ®Google Scholar
• Zdravkovich MM. 1985. Flow induced oscillations of two Interfering circular cylinders. J Sound Vib. 101(4):511–521.
   Web of Science ®Google Scholar
• Zhu H, Gao Y. 2017. Effect of gap on the vortex-induced vibration suppression of a circular cylinder using two rotating rods. Ships Offshore Struct. 13(2):1–13.
   Web of Science ®Google Scholar