Numerical analysis of nonlinear wave propagation in elastic submerged cables

Journal of Offshore Mechanics and Arctic Engineering

Volumn 121, Issue 2, 1999, Pages 116-125

  Behbahani Nejad, M ^a,b   Perkins, N C ^a  

^a UNIVERSITY OF MICHIGAN   (United States)

^b Shell E and P Technology Co   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; BOUNDARY CONDITIONS; DRAG; FINITE DIFFERENCE METHOD; HYDRODYNAMICS; MATHEMATICAL MODELS; UNDERWATER STRUCTURES; WATER WAVES;

APPROXIMATE LINEAR THEORY; NONLINEAR WAVE PROPAGATION; UNDERWATER CABLE SUSPENSIONS;

FLUID STRUCTURE INTERACTION;

CABLE; FINITE DIFFERENCE TECHNIQUE; NON-LINEAR DYNAMICS; SUBSEA SYSTEM; WAVE PROPAGATION;

CABLE; NONLINEAR WAVE; WAVE PROPAGATION;

EID: 0033134292     PISSN: 08927219     EISSN: 1528896X     Source Type: Journal    
DOI: 10.1115/1.2830075     Document Type: Article

References (24)

1. Behbahani-Nejad, M., 1997, “Linear and Nonlinear Wave Propagation Characteristics of Elastic Cables With and Without Fluid Interaction,” Ph.D. thesis, University of Michigan, Ann Arbor, MI.
2. Behbahani-Nejad, M., and Perkins, N. C., 1997 “Hydrodynamic and Geometric Stiffening Effects on the Out-of-Plane Waves of Submerged Cables,” Nonlinear Dynamics, in press.
3. Behbahani-Nejad, M., and Perkins, N. C., 1996, “Freely Propagating Waves in Elastic Cables,” Journal of Sound and Vibration, Vol. 196, No. 2, pp. 189-202.
4. Behbahani-Nejad, M., and Perkins, N. C., 1997, “Harmonically Forced Wave Propagation in Elastic Cables with Small Curvature,” ASME Journal of Vibration and Acoustics, Vol. 119, pp. 390-397.
5. Bemitsas, M. M., 1995, Notes of NAME 550, Offshore Engineering Analysis II, Naval Architecture and Marine Engineering, University of Michigan, Ann Arbor, MI, Winter.
6. Chakrabarti, S. K., 1987, Hydrodynamics of Offshore Structures, Springer-Verlag, New York, NY.
7. Chapman, D. A., 1982, “Effects of Ship Motion on a Neutrally-Stable Towed Fish,” Ocean Engineering, Vol. 9, No. 3, pp. 189-220.
8. Dowling, A. P., 1988, “The Dynamics of Towed Flexible Cylinders Part II. Neutrally Buoyant Elements,” Journal of Fluid Mechanics, Vol. 187, pp. 533-571.
9. Engouist, B., and Majda, A., 1977, “Absorbing Boundary Conditions for the Numerical Simulation of Waves,” Mathematical Computations, Vol. 31, pp. 629-652.
10. Givoli, D., 1992, Numerical Methods for Problems in Infinite Domains, Elsevier Science Publishers, New York, NY.
11. Givoli, D., and Keller, J. B., 1990, “Non-Reflecting Boundary Conditions for Elastic Waves,” Wave Motion, Vol. 12, pp. 261-279.
12. Goodman, T. R., and Breslin, J. P., 1976, “Statics and Dynamics of Anchoring Cables in Waves,” Journal of Hydronautics, Vol. 10(4), pp. 113-120.
13. Grosenbaugh, M. A., 1995, “The Effect of Hydrodynamic Damping on the Tension of Oceanographic Surface Moorings,” Proceedings, International Symposium on Cable Dynamics, Vol. 1, Liege, Belgium, pp. 85-92.
14. Huse, H., 1990, Handbook of Hydrodynamic Coefficients of Flexible Risers, Report MT51.R90.0369, Marintek, Trondheim, Norway Dec.
15. Irvine, H. M., and Caughey, T. K., 1974, “The Linear Theory of Free Vibrations of a Suspended Cable,” Proceedings of the Royal Society of London, Vol. 341(A), pp. 299-315.
16. Kallivokas, L. F., and Bielak, J., 1993, “Transient Analysis of the Axisymme-tric Three-Dimensional Exterior Structural Acoustic Problem Based on the FEM and a Novel Impedance Element,” ASME PVP-Vol. 2, pp. 1-8.
17. Newberry, B. L., and Perkins, N. C., 1996, “Investigation of Resonant Tensioning in Submerged Cables Subjected' to Lateral Excitation,” International Journal of Offshore and Polar Engineering, Vol. 6(4), pp. 11-17.
18. Patel, M. H., 1989, Dynamics of Offshore Structures, Butterworths, Boston, MA.
19. Perkins, N. C., and Mote, C. D., 1987, “Three-Dimensional Vibration of Traveling Elastic Cables,” Journal of Sound and Vibration, Vol. 114(2), pp. 325-340.
20. Perkins, N. C., 1986, “Three-Dimensional Theory and Analysis of Traveling Sagged Cable Dynamics,” Ph.D. thesis, University of California, Berkeley, CA.
21. Pierce, A., 1991, Acoustics, The Acoustical Society of America, New York, NY. *
22. Shigley, J. E., and Mischke, C. R., 1989, Mechanical Engineering Design. McGraw-Hill, Inc., New York, NY.
23. Sommerfeld, A., 1912, “The Green’s Function of the Oscillation Equation,” Jahresber. Dtsch. Math. Ver, Vol. 21, pp. 309-353.
24. Triantafillou, M. S., Bliek, A., Shin, H., 1985, “Dynamic Analysis as a Tool for Open-Sea Mooring System Design,” Japan Society of Naval Architects and Marine Engineers, Vol. 12, pp. 1-18