Three-dimensional dynamics of vortex-induced vibration of a pipe with internal flow in the subcritical and supercritical regimes
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The Three-dimensional (3-D) dynamical behaviors of a fluid-conveying pipe subjected to vortex-induced vibration are investigated with different internal flow velocity v. The values of the internal flow velocity are considered in both subcritical and supercritical regimes. During the study, the 3-D nonlinear equations are discretized by the Galerkin method and solved by a fourth-order Runge-Kutta method. The results indicate that for a constant internal flow velocity v in the subcritical regime, the peak Cross-flow (CF) amplitude increases firstly and then decrease accompanied by amplitude jumps with the increase of the external reduced velocity. While two response bands are observed in the In-line (IL) direction. For the dynamics in the lock-in condition, 3-D periodic, quasi-periodic and chaotic vibrations are observed. A variety of CF and IL responses can be detected for different modes with the increase of v. For the cases studied in the supercritical regime, the dynamics shows a great diversity with that in the subcritical regime. Various dynamical responses, which include 3-D periodic, quasi-periodic as well as chaotic motions, are found while both CF and IL responses are coupled while v is beyond the critical value. Besides, the responses corresponding to different couples of m1 and m2 are obviously distinct from each other.
Abstract
The Three-dimensional (3-D) dynamical behaviors of a fluid-conveying pipe subjected to vortex-induced vibration are investigated with different internal flow velocity v. The values of the internal flow velocity are considered in both subcritical and supercritical regimes. During the study, the 3-D nonlinear equations are discretized by the Galerkin method and solved by a fourth-order Runge-Kutta method. The results indicate that for a constant internal flow velocity v in the subcritical regime, the peak Cross-flow (CF) amplitude increases firstly and then decrease accompanied by amplitude jumps with the increase of the external reduced velocity. While two response bands are observed in the In-line (IL) direction. For the dynamics in the lock-in condition, 3-D periodic, quasi-periodic and chaotic vibrations are observed. A variety of CF and IL responses can be detected for different modes with the increase of v. For the cases studied in the supercritical regime, the dynamics shows a great diversity with that in the subcritical regime. Various dynamical responses, which include 3-D periodic, quasi-periodic as well as chaotic motions, are found while both CF and IL responses are coupled while v is beyond the critical value. Besides, the responses corresponding to different couples of m1 and m2 are obviously distinct from each other.
참고문헌 (42)
- Bai, X., "Riser-soil interaction model effects on the dynamic behavior of a steel catenary riser", Mar. Struct, 41, pp.53~76 (2015)
- Bai, X., "Dynamic tests in a steel catenary riser reduced scale model", Ships Offshore Struct, pp.1~13 (2017)
- Blevins, R. D., "Flow-induced Vibration", ~ (1990)
- Blevins, R. D., "Experimental investigation of vortex-induced vibration in one and two dimensions with variable mass, damping, and reynolds number", J. Fluid Eng, 131, pp.101202~ (2009)
- Bourdier, S., "Vortex-induced vibrations of a rigid cylinder on elastic supports with end-stops, part 1: experimental results", J. Fluid Struct, 29, pp.62~78 (2012)
- Brika, D., "Vortex-induced vibrations of a long flexible circular cylinder", J. Fluid Mech, 250, pp.481~481 (1993)
- Chen, S. S., "Flow-induced Vibration of Circular Cylindrical Structures, vol. 414" (1987), Hemisphere publishing corporation
- Chen, W., "Dynamic characteristics and viv of deepwater riser with axially varying structural properties", Ocean Eng, 42, pp.7~12 (2012)
- Dai, H., "Vortex-induced vibration of pipes conveying fluid using the method of multiple scales", Theoretical and Applied Mechanics Letters, pp.2022006~ (2012)
- Dai, H., "Vortex-induced vibrations of pipes conveying fluid in the subcritical and supercritical regimes", J. Fluid Struct, 39, pp.322~334 (2013)
- Dai, H., "Vortex-induced vibrations of pipes conveying pulsating fluid", Ocean Eng, 77, pp.12~22 (2014)
- Facchinetti, M. L., "Coupling of structure and wake oscillators in vortex-induced vibrations", J. Fluid Struct, 19, pp.123~140 (2004)
- Feng, C., "The Measurement of Vortex Induced Effects in Flow Past Stationary and Oscillating Circular and D-section Cylinders", Ph.D, pp.1968
- Furnes, G. K., "Flow induced vibrations modeled by coupled non-linear oscillators", The Seventeenth International Offshore and Polar Engineering Conference (2007), International Society of Offshore and Polar Engineers
- Gabbai, R., "An overview of modeling and experiments of vortexinduced vibration of circular cylinders", J. Sound Vib, 282, pp.575~616 (2005)
- Ge, F., "Flow-induced vibrations of long circular cylinders modeled by coupled nonlinear oscillators", Science in China Series G:Phy. Mech. Astronomy, 52, pp.1086~1093 (2009)
- Huera-Huarte, F., "Wake structures and vortex-induced vibrations of a long flexible cylinder part 1: dynamic response", J. Fluid Struct, 25, pp.969~990 (2009)
- Iwan, W., "The vortex-induced oscillation of non-uniform structural systems", J. Sound Vib, 79, pp.291~301 (1981)
- Khalak, A., "Dynamics of a hydroelastic cylinder with very low mass and damping", J. Fluid Struct, 10, pp.455~472 (1996)
- Kheiri, M., "Dynamics and stability of a flexible pinned-free cylinder in axial flow", J. Fluid Struct, 55, pp.204~217 (2015)
- Kheiri, M., "Dynamics of a pipe conveying fluid flexibly restrained at the ends", J. Fluid Struct, 49, pp.360~385 (2014)
- Min Lou, "Experimental study on vortex induced vibration of risers with fairing considering wake interference", International Journal of Naval Architecture and Ocean Engineering, 9(2), pp.127~134 (2017), 대한조선학회
- Meng, D., "Non-linear dynamic model of a fluid-conveying pipe undergoing overall motions", Appl. Math. Model, 35, pp.781~796 (2011)
- Modarres-Sadeghi, Y., "Chaotic oscillations of long pipes conveying fluid in the presence of a large end-mass", Comput. Struct, 122, pp.192~201 (2013)
- Nayfeh, A. H., "Exact solution and stability of postbuckling configurations of beams", Nonlinear Dynam, 54, pp.395~408 (2008)
- Paidoussis, M. P., "Fluid-structure Interactions: Slender Structures and Axial Flow, vol. 1" (1998), Academic press
- Vortex-induced Vibration Parameters: Critical Review, "Pantazopoulos, M. S.", American Society of Mechanical Engineers, ~ (1994)
- Fluid forces on oscillating cylinders, "Sarpkaya, T.", NASA, 46523~, pp.NASA STI (1978), Recon Technical Report A 78
- Sarpkaya, T., "A critical review of the intrinsic nature of vortex-induced vibrations", J. Fluid Struct, 19, pp.389~447 (2004)
- Srinil, N., "Modelling of coupled cross-flow", in-line vortexinduced vibrations using double duffing and van der pol oscillators, 2012, pp.53, 83~97
- Stangl, M., "An alternative approach for the analysis of nonlinear vibrations of pipes conveying fluid", J. Sound Vib, 310, pp.493~511 (2008)
- Sumer, B. M., "Hydrodynamics Around Cylindrical Structures, vol. 12" (1997), World Scientific
- Trim, A., "Experimental investigation of vortex-induced vibration of long marine risers", J. Fluid Struct, 21, pp.335~361 (2005)
- Vandiver, J. K., "Drag coefficients of long flexible cylinders", Offshore Technology Conference. Offshore Technology Conference (1983)
- Violette, R., "Computation of vortex-induced vibrations of long structures using a wake oscillator model: comparison with dns and experiments", Comput. Struct, 85, pp.1134~1141 (2007)
- Wanderley, J. B., "Vortex-induced vibration of an elastically mounted circular cylinder using an upwind tvd two-dimensional numerical scheme", Ocean Eng, 35, pp.1533~1544 (2008)
- Wang, L., "A further study on the non-linear dynamics of simply supported pipes conveying pulsating fluid", Int. J. Non Lin. Mech, 44, pp.115~121 (2009)
- Wang, L., "Dynamics of simply supported uid-conveying pipes with geometric imperfections", J. Fluid Struct, 29, pp.97~106 (2012)
- Wang, X., "A non-linear fluid force model for vortex-induced vibration of an elastic cylinder", J. Sound Vib, 260, pp.287~305 (2003)
- Williamson, C., "A brief review of recent results in vortexinduced vibrations", J. Wind Eng. Ind. Aerod, 96, pp.713~735 (2008)
- Wu, X., "A review of recent studies on vortex-induced vibrations of long slender cylinders", J. Fluid Struct, 28, pp.292~308 (2012)
- Yamamoto, C., "Numerical simulations of vortex-induced vibration on flexible cylinders", J. Fluid Struct, 19, pp.467~489 (2004)