An Experimental Investigation of Parametric Rolling in Head Waves

[+] Author and Article Information
Alberto Francescutto

DINMA, University of Trieste, 34127 Trieste, Italye-mail: francesc@univ.trieste.it

J. Offshore Mech. Arct. Eng 123(2), 65-69 (Jan 01, 2001) (5 pages) doi:10.1115/1.1355247 History: Received December 04, 2000; Revised January 01, 2001
Copyright © 2001 by ASME
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Kerwin,  J. E., 1955, “Notes on Rolling in Longitudinal Waves,” Int. Shipbuild. Progr.,2, pp. 597–614.
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Burcher, R. K., 1990, “Experiments into the Capsize of a Ship in Head Seas,” Proc., 4th International Conference on Stability of Ships and Ocean Vehicles, STAB’90, The University of Napoli, Napoli, Vol. 1, pp. 82–89.
Contento,  G., and Francescutto,  A., 1999, “Bifurcations in Ship Rolling: Experimental Results and Parameter Identification Technique,” Ocean Eng.,26, pp. 1095–1123.
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Landau, L. D., and Lifschitz, E. M., 1968, Mecanique, Mir, Moscow, Russia.
Francescutto, A., 1999, “An Experimental Investigation of a Dangerous Coupling Between Roll Motion and Vertical Motions in Head Sea”, Proc. 13th International Conference on Hydrodynamics in Ship Design and Joint 2nd International Symposium on Ship Manoeuvring Hydronav’99-Manoeuvring’99, Technical University of Gdansk, Gdansk, Poland, pp. 170–183.


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Full-scale ship restoring arm in calm water
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Equivalent linear damping for the scale model from the decay tests as a function of velocity in calm water
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Natural frequency of roll motion for the scale model from the decay tests as a function of forward speed
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Experimental parametric roll amplitude as a function of ship speed for the case of wave steepness 1/50
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Variation of initial metacentric height in longitudinal waves
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Instability zone of the Mathieu equation for the investigated ship model. Solid line indicates the boundary of stability for the undamped case; dashed line indicates the boundary of stability for the damped case. Solid points correspond to experiments where parametric rolling was observed.
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Ship righting arm variation with wave position along the ship. For comparison, the righting arm in calm water is reported. The figure refers to the case Sw=1/50.
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Simulation of roll amplitude above threshold (solid curve) obtained by means of the nonlinear analytical approach based on Eq. (11)



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