FENG Zhi-peng, ZHANG Yi-xiong, ZANG Feng-gang, YE Xian-hui. Analysis of Vortex-Induced Vibration Characteristics for a Three Dimensional Flexible Tube[J]. Applied Mathematics and Mechanics, 2013, 34(9): 976-985. doi: 10.3879/j.issn.1000-0887.2013.09.011
Citation:
FENG Zhi-peng, ZHANG Yi-xiong, ZANG Feng-gang, YE Xian-hui. Analysis of Vortex-Induced Vibration Characteristics for a Three Dimensional Flexible Tube[J]. Applied Mathematics and Mechanics, 2013, 34(9): 976-985. doi: 10.3879/j.issn.1000-0887.2013.09.011
FENG Zhi-peng, ZHANG Yi-xiong, ZANG Feng-gang, YE Xian-hui. Analysis of Vortex-Induced Vibration Characteristics for a Three Dimensional Flexible Tube[J]. Applied Mathematics and Mechanics, 2013, 34(9): 976-985. doi: 10.3879/j.issn.1000-0887.2013.09.011
Citation:
FENG Zhi-peng, ZHANG Yi-xiong, ZANG Feng-gang, YE Xian-hui. Analysis of Vortex-Induced Vibration Characteristics for a Three Dimensional Flexible Tube[J]. Applied Mathematics and Mechanics, 2013, 34(9): 976-985. doi: 10.3879/j.issn.1000-0887.2013.09.011
Numerical simulations of vortex-induced vibration of a three-dimensional flexible tube under uniform turbulent flow were calculated when Reynolds number was 1.35×104. In order to achieve the vortex-induced vibration, the three-dimensional unsteady, viscous, incompressible Navier-Stokes equation and LES turbulence model were solved in the finite volume approach, the tube was discretized according to the finite element theory, and its dynamic equilibrium equations were solved by the Newmark method. The fluid-tube interaction was realized by the diffusion-based smooth dynamic mesh method. For a VIV system, the varying trends of lift coefficient, drag coefficient, displacement, vortex shedding frequency, phase difference angle of the tube were analyzed at different frequency ratios. The nonlinear phenomena of lock-in and phase-switch were captured successfully. Meanwhile, the limit cycle and bifurcation of the lift coefficient and displacement were analyzed with trajectory, phase portrait and Poincaré section mapping. The results reveal that: when the drag coefficient reaches its minimum value, the transverse vibration amplitude reaches its maximum and lock-in begins simultaneously. In the range of lock-in, the vibration amplitude decreases gradually with increase of the frequency ratio. When the lift coefficient reaches its minimum value, the phase difference between the lift coefficient and lateral displacement undergoes a sudden change from an out-of-phase to an in-phase mode. There is no bifurcation of the lift coefficient and lateral displacement occurring to the three dimensional flexible tube under uniform turbulent flow.
Goverdhan R, Williamson C H K. Vortex induced vibrations[J]. Annual Review of Fluid Mechanics,2004,36: 413-455.
[2]
Evangelinos C, Lucor D, Karniadakis G E. DNSderived force distribution on flexible cylinders subject to vortexinduced vibration[J]. Journal of Fluids and Structures,2000,14(3): 429-440.
[3]
Zhou C Y, So R M, Lam K. Vortexinduced vibrations of an elastic circular cylinder[J]. Journal of Fluids and Structures,1999,13(2): 165-189.
[4]
LI Tian, ZHANG Ji-ye, ZHANG Wei-hua. Nonlinear characteristics of vortex-induced vibration at low Reynolds number[J]. Commun in Nonlinear Sci Numer Simulat,2011,16(7): 2753-2771.
[5]
Gabbai R D, Benaroya H. An overview of modeling and experiments of vortex-induced vibration of circular cylinders[J]. Journal of Sound and Vibration,2005,282(3/5): 575-616.
[6]
Sarpkaya T. A critical review of the intrinsic nature of vortex-induced vibrations[J]. Journal of Fluids and Structures,2004,19(4): 389-447.
[7]
Norberg C. Fluctuating lift on a circular cylinder: review and new measurements[J]. Journal of Fluids and Structures,2003,17(1): 57-96.
[8]
Schowalter D, Ghosh I, Kim S E, Haidari A. Unit-tests based validation and verification of numerical procedure to predict vortexinduced motion[C]// Proceedings of OMAE 2006, 25th International Conference on Offshore Mechanics and Arctic Engineering. Hamburg, Germany, 2006: 184-187.