Two degree of freedom flow-induced vibration of cylindrical structures in marine environments: frequency ratio effects

The flow-induced vibration of a cylindrical structure is a very common problem in marine environments such as undersea pipelines, offshore risers, and cables. In this study, the vortex-induced vibration (VIV) of an elastically mounted cylinder at a low Reynolds number is simulated by a transient coupled fluid–structure interaction numerical model. Considering VIV with low damping ratio, the response, hydrodynamic forces, and vortex shedding modes of the cylinder is systematically analyzed and summed up the universal rule under different frequency ratios. On the basis of the analysis, we find that the frequency ratio α is a very important parameter. It decides the locked-in, beat, and phase-switch phenomena of the cylinder, meanwhile, it also influence the vortex mode of the cylinder. The trajectory of the two degrees of freedom (2 DOF) case at different natural frequency ratios is discussed, with most trajectories having a “figure of 8” shape and a few having a “crescent” shape. A fast Fourier transformation technique is used to obtain the frequency characteristics of the vibration of the cylindrical structure. Using the 2 DOF cylinder model in place of the 1 DOF model presents several advantages in simulating the nonlinear characteristics of cylindrical structures, including the capacity to model the crosswise vibration generated by in-line vibration.

[1]  A. Laneville,et al.  Vortex-induced vibrations of a long flexible circular cylinder , 1993, Journal of Fluid Mechanics.

[2]  Weihua Zhang,et al.  Nonlinear characteristics of vortex-induced vibration at low Reynolds number , 2011 .

[3]  Aziz Hamdouni,et al.  Numerical simulation of an oscillating cylinder in a cross-flow at low Reynolds number: Forced and free oscillations , 2009 .

[4]  C. Williamson,et al.  The effect of two degrees of freedom on vortex-induced vibration at low mass and damping , 2004, Journal of Fluid Mechanics.

[5]  C. Williamson,et al.  DYNAMICS OF A HYDROELASTIC CYLINDER WITH VERY LOW MASS AND DAMPING , 1996 .

[6]  Peter W. Bearman,et al.  RESPONSE CHARACTERISTICS OF A VORTEX-EXCITED CYLINDER AT LOW REYNOLDS NUMBERS , 1992 .

[7]  M. Gharib,et al.  ON CIRCULAR CYLINDERS UNDERGOING TWO-DEGREE-OF-FREEDOM FORCED MOTIONS , 2001 .

[8]  Robert D. Blevins,et al.  Experimental Investigation of Vortex-Induced Vibration in One and Two Dimensions With Variable Mass, Damping, and Reynolds Number , 2009 .

[9]  Chaoqun Liu,et al.  Preconditioned Multigrid Methods for Unsteady Incompressible Flows , 1997 .

[10]  C. Feng.  The measurement of vortex induced effects in flow past stationary and oscillating circular and D-section cylinders , 1968 .

[11]  S. Mittal,et al.  Vortex-induced vibrations of a circular cylinder at low Reynolds numbers , 2007, Journal of Fluid Mechanics.

[12]  P. Anagnostopoulos,et al.  Numerical investigation of response and wake characteristics of a vortex-excited cylinder in a uniform stream , 1994 .

[13]  Stephane Etienne,et al.  The low Reynolds number limit of vortex-induced vibrations , 2012 .

[14]  C. Williamson,et al.  Vortex-Induced Vibrations , 2004, Wind Effects on Structures.

[15]  Charles H. K. Williamson,et al.  Vortex-induced vibration of a cylinder with two degrees of freedom , 2003 .

[16]  Stavroula Balabani,et al.  Wake modes of a cylinder undergoing free streamwise vortex-induced vibrations , 2013 .

[17]  Emmanuel Guilmineau,et al.  Numerical simulation of vortex-induced vibration of a circular cylinder with low mass-damping in a turbulent flow , 2004 .

[18]  Xiaodong Wu,et al.  A review of recent studies on vortex-induced vibrations of long slender cylinders , 2012 .

[19]  Turgut Sarpkaya,et al.  A critical review of the intrinsic nature of vortex-induced vibrations , 2004 .

[20]  Zhuang Kang,et al.  An experimental investigation of one- and two-degree of freedom VIV of cylinders , 2013 .

[21]  Elias Balaras,et al.  A strongly coupled, embedded-boundary method for fluid–structure interactions of elastically mounted rigid bodies , 2008 .

[22]  Franz S. Hover,et al.  Two-degree-of-freedom vortex-induced vibrations using a force assisted apparatus , 2006 .

[23]  Yan Bao,et al.  Two-degree-of-freedom flow-induced vibrations on isolated and tandem cylinders with varying natural frequency ratios , 2012 .

[24]  Alexander Day,et al.  Two-degree-of-freedom VIV of circular cylinder with variable natural frequency ratio: experimental and numerical investigations , 2013 .

[25]  Charles H. K. Williamson,et al.  A brief review of recent results in vortex-induced vibrations , 2008 .

[26]  P. Bearman.  VORTEX SHEDDING FROM OSCILLATING BLUFF BODIES , 1984 .

[27]  G. Karniadakis,et al.  Two- and Three-Dimensional Simulations of Vortex-Induced Vibration of a Circular Cylinder , 1993 .

[28]  A. Laneville,et al.  Wake interference between two circular cylinders , 1997 .

[29]  Q. Miao,et al.  Numerical simulation of vortex-induced vibration of a circular cylinder at low mass-damping using RANS code , 2007 .

[30]  M. H. Akbari,et al.  Effects of mass and damping ratios on VIV of a circular cylinder , 2010 .