Parametric and External Excitation of Marine Risers
Publication: Journal of Engineering Mechanics
Volume 118, Issue 5
Abstract
The response of a nonlinear marine riser model to both parametric and external excitation is examined using Markov methods. Moment‐closure techniques are used to predict the response of the riser in a random seaway. An approximate nonlinear polynomial representation of the hydrodynamic damping term is developed in order to implement Gaussian and non‐Gaussian moment‐closure schemes. These methods are applied to solve the case of pure parametric excitation and the results are compared with those obtained using stochastic averaging. It is shown that as the parametric excitation level is varied, the response predictions from different techniques exhibit the same linear trends. However, the non‐Gaussian closure scheme provides improved response estimates that are closer to stochastic averaging results. Moment‐closure techniques are then extended to consider a riser under combined parametric and external excitation. For a fixed level of parametric excitation, the response statistics are found to vary nonlinearly with external excitation levels. The Gaussian closure scheme is found to overpredict structural response for the case of pure parametric excitation and to underpredict structural response for the case of pure external excitation.
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References
1.
Assaf, S. A., and Zirkle, L. D. (1976). “Approximate analysis of non‐linear stochastic systems.” Int. J. Control, 23(4), 477–492.
2.
Chen, W. L., and Huang, T. C. (1984). “The stability and response of a randomly excited hanging string in fluid. Random vibrations, T. C. Huang and P. D. Spanos, eds., Vol. 65, American Society of Mech. Engrs. (ASME), New York, N.Y., 25–34.
3.
Crandall, S. H. (1980). “Non‐Gaussian closure for random vibration of non‐linear oscillators.” Int. J. Non Linear Mech., 15(Feb.), 303–313.
4.
Hsu, C. S. (1975). “The response of a parametrically excited hanging string in fluid.” J. Sound Vib., 39(3), 305–316.
5.
Huang, T., and Dareing, D. W. (1968). “Buckling and lateral vibration of drill pipe.” J. Engrg. for Industry, Series B, 90(4), 613–619.
6.
Ibraham, R. A. (1985). Parametric random vibration. Res. Studies Press, Hertfordshire, England.
7.
Ibraham, R. A., and Roberts, J. B. (1976). “Broad‐band excitation of a two‐degree‐of‐freedom system with auto parametric coupling.” J. Sound Vib., 44(3), 335–348.
8.
McLachlan, N. W. (1955). Bessel functions for engineers, Clarendon Press, Oxford, England.
9.
Niedzwecki, J. M., and Thampi, S. K. (1988). “Heave compensated response of long multi‐segment drill springs.” J. Appl. Oc. Res., 10(4), 181–190.
10.
Ochi, M. K. (1986). “Non‐Gaussian random processes in ocean engineering.” Probabilistic Engrg. Mech., 1, (1), 28–39.
11.
Rainey, R. C. T. (1977). “The dynamics of tethered platforms.” Spring meeting, Royal Institute of Naval Architects, Paper No. 6, London, England, 59–80.
12.
Roberts, J. B. (1982). “Effect of parametric excitation on ship rolling motion in random waves.” J. Ship Res., 26(4), 246–253.
13.
Soong, T. T. (1973). Random differential equations in science and engineering. Academic Press, New York, N.Y.
14.
Stoker, J. J. (1950). Nonlinear vibrations. Interscience Publishers, Inc., New York, N.Y.
15.
Thampi, S. K. (1989). “External and parametric excitation of non‐linear offshore systems, PhD dissertation, Texas AāM University, College Station, Tex.
16.
Wu, W. F., and Lin, Y. K. (1984). “Cumulant‐neglect closure for non‐linear oscillators under random parametric and external excitations.” Int. J. Non‐Linear Mech., 19(4), 349–362.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 118 • Issue 5 • May 1992
Pages: 942 - 960
Copyright
Copyright © 1992 ASCE.
History
Published online: May 1, 1992
Published in print: May 1992
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