The third-harmonic component of the third-order hydrodynamic loads on a vertical circular cylinder oscillating in water is calculated by a conventional perturbation method within the framework of a potential theory. Although the third-order forces are expressed in terms of the first, second, and third-order components of the velocity potential, the latter is not directly required for the calculation. It is replaced by a properly defined linearized radiation potential via Haskind-like theorem. The results of the study are applicable to the analysis of high-frequency resonances of deepwater offshore structures under earthquake excitation or under steep waves (ringing problem).
Issue Section:
Research Papers
1.
Chau
F. P.
Eatock Taylor
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1992
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.2.
Chen
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1997
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.3.
Faltinsen
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Newman
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Vinje
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1995
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Goyal
A.
Chopra
A. K.
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Eatock Taylor
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1996
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.6.
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7.
Malenica
Sˇ.
Molin
B.
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.8.
Molin
B.
1979
, “Second-Order Diffraction Loads Upon Three-Dimensional Bodies
,” Applied Ocean Research
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.9.
Molin
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11.
Scolan, Y-M., le Boulluec, M., Chen, X-B., Deleuil, G., Ferrant, P., Malenica, Sˇ., and Molin, B., 1997, “Some Results From Numerical and Experimental Investigations on the High Frequency Responses of Offshore Structures,” Proceedings of BOSS’97, J. H., Vugts, ed., Vol. 2, Pergamon, pp. 127–142.
12.
Stansberg, C. T., 1997, “Comparing Ringing Loads From Experiments With Cylinders of Different Diameters—An Empirical Study,” Proceedings of BOSS’97, J. H. Vugts, ed., Vol. 2, Pergamon, pp. 95–109.
13.
Wang
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Chwang
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1989
, “Nonlinear Free-Surface Flow Around an Impulsively Moving Cylinder
,” Journal of Ship Research
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.
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