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TECHNICAL PAPERS

Coupled Slow and Fast Dynamics of Flow Excited Elastic Cable Systems

[+] Author and Article Information
W.-J. Kim, N. C. Perkins

Department of Mechanical Engineering, University of Michigan, Ann Arbor, MI 48109

J. Vib. Acoust 125(2), 155-161 (Apr 01, 2003) (7 pages) doi:10.1115/1.1547462 History: Received March 01, 2001; Revised October 01, 2002; Online April 01, 2003
Copyright © 2003 by ASME
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References

Sarpkaya,  T., 1979, “Vortex-Induced Oscillations: A Selective Review,” ASME J. Appl. Mech., 46, pp. 241–258.
Griffin,  O. M., Vandiver,  J. K., Skop,  R. A., and Meggitt,  D. J., 1982, “The Strumming Vibrations of Marine Cables,” Ocean Science and Engineering, 7, pp. 461–498.
Pantazopoulos, M. S., 1994, “Vortex-Induced Vibration Parameters: Critical Review,” Proc. Int. Conf. on Offshore Mechanics and Arctic Engineering, Houston, TX, 1, pp. 199–255.
Currie,  I. G., and Turnbull,  D. H., 1987, “Streamwise Oscillations of Cylinders Near the Critical Reynolds Number,” J. Fluids Struct., 1, pp. 185–196.
Bishop,  R. E. D., and Hassan,  A. Y., 1964, “The Lift and Drag Forces on a Circular Cylinder Oscillating in a Flowing Fluid,” Proc. R. Soc. London, Ser. A, A277, pp. 51–75.
Perkins,  N. C., 1992, “Modal Interactions in the Non-Linear Response of Elastic Cables under Parametric/External Excitation,” Int. J. Non-Linear Mech., 27, pp. 233–250.
Newberry,  B. L., and Perkins,  N. C., 1997, “Investigation of Resonant Tensioning in Submerged Cables Subjected to Lateral Excitation,” Int. J. Offshore Polar Eng., 7, pp. 48–53.
Cheng,  S. P., and Perkins,  N. C., 1992, “Closed-Form Vibration Analysis of Sagged Cable/Mass Suspensions,” ASME J. Appl. Mech., 59, pp. 923–928.
Skop,  R. A., and Balasubramanian,  S., 1997, “A New Twist on an Old Model for Vortex-Excited Vibrations,” J. Fluids Struct., 11, pp. 395–412.
Griffin,  O. M., Pattison,  J. H., Skop,  R. A., Ramberg,  S. E., and Meggitt,  D. J., 1980, “Vortex-Excited Vibrations of Marine Cables,” ASCE J. the Waterway, Port, Coastal and Ocean Division, 106, pp. 183–204.
Vandiver, J. K., 1983, “Drag Coefficients of Long Flexible Cylinders,” Proc. Offshore Technology Conference, Houston, TX, OTC 4490, pp. 405–410.
Behbahani-Nejad,  M., and Perkins,  N. C., 1996, “Freely Propagating Waves in Elastic Cables,” J. Sound Vib., 196, pp. 189–202.
Sparks,  C. P., 1984, “The Influence of Tension, Pressure and Weight on Pipe and Riser Deformations and Stresses,” ASME J. Energy Resour. Technol., 106, pp. 46–54.
Triantafyllou, M. S., and Bliek, A., 1983, “The Dynamics of Inclined Taut and Slack Marine Cables,” Proc. Fifteenth Annual Offshore Technology Conference, 1 , pp. 469–476.
Irvine,  H. M., and Caughey,  T. K., 1974, “The Linear Theory of Free Vibrations of a Suspended Cable,” Proc. R. Soc. London, Ser. A, A341, pp. 299–315.
Sumer, B. M., and Fredsoe, J., 1999, Hydrodynamics around Cylindrical Structures, World Scientific Publishing Co., NJ.
Chakrabarti, S. K., 1987, Hydrodynamics of Offshore Structures, Computational Mechanics Publications.
Hartlen,  R. T., and Currie,  I. G., 1970, “Lift-Oscillator Model of Vortex-Induced Vibration,” J. Eng. Mech. Div., 96, pp. 577–591.
Bokaian,  A., 1994, “Lock-in Prediction of Marine Risers and Tethers,” J. Sound Vib., 175, pp. 607–623.
Ramberg,  S. E., and Griffin,  O. M., 1974, “Vortex Formation in the Wake of a Vibrating, Flexible Cable,” ASME J. Fluids Eng., 96, pp. 317–322.
Ramberg,  S. E., and Griffin,  O. M., 1976, “Velocity Correlation and Vortex Spacing in the Wake of a Vibrating Cable,” ASME J. Fluids Eng., 98, pp. 10–18.
Kim, W.-J., and Perkins, N. C., 2000, “Nonlinear Two Dimensional Vortex Induced Vibration of an Elastic Cable,” Proc. ETCE/OMAE 2000 Joint Conference, New Orleans, LA, OMAE00-8010.
Patrikalakis,  N. M., and Chryssostomidis,  C., 1985, “Vortex-Induced Response of a Flexible Cylinder in a Constant Current,” ASME J. Energy Resour. Technol., 107, pp. 244–249.
Tuah,  H., and Leonard,  J. W., 1992, “Strumming of Nonlinear Cable Elements Using Modal Superposition,” Eng. Struct., 15, pp. 282–290.
Meirovitch, L., 1967, Analytical Methods in Vibrations, Macmillan Publishing Co., Inc., NY.
Irvine, H. M., 1981, Cable Structures, MIT Press, Cambridge, MA.
Kim, WanJun, 2001, “Coupled Cross-flow and In-line Vortex-Induced Vibration of Elastic Cable Systems,” Ph.D. Dissertation, University of Michigan.

Figures

Grahic Jump Location
Cable-buoy system showing fast VIV and slow drift
Grahic Jump Location
Schematics of two cable applications (a) cable suspension (b) cable-buoy system. Three-dimensional dynamic response (solid curves) from equilibrium (dashed curves) is described by U and projected onto the Serret-Frenet triad {t⁁,n⁁,b⁁} defined by the equilibrium configurations
Grahic Jump Location
Steady state cross-flow VIV during lock-in predicted without considering the changes in mean drag. In this example, V=1.24 m/s,L=20 m,D=0.0155 m,Ḡ=0.3763,F̄=1.0027, and CL0=0.28
Grahic Jump Location
Coupled slow and fast dynamic response of the cable suspension in uniform cross-flow resulting from variations in the mean drag; (a) cross-flow (VIV) response, (b) in-line (drift) response, (c) mean drag coefficient
Grahic Jump Location
Coupled slow and fast response of cable-buoy system resulting from variations in mean drag. In this example, V=0.418 m/s,L=31 m,M=10 kg,Ḡ=0.3985,F̄=0.8829, and buoy diameter 0.6 m; (a) cross-flow response of the cable at an antinode, (b) in-line (drift) response of the cable at S=L, (c) tangential response of the buoy, (d) mean drag coefficient

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