In this paper, the possibility of excitation of parametric rolling on a ship advancing in head sea condition is studied on an experimental basis. The excitation of parametric rolling was effectively observed in the experimental tests, together with some case of capsizing. The parametric rolling exhibited the typical subharmonic behavior. The use of classical Mathieu equation theory, coupled with hydrostatic calculations in longitudinal waves, accounting for both vertical motions and wave effect on stability, allows a satisfactory explanation of the observed phenomena. In addition, the problem of determination of roll damping dependence on ship speed was solved by using roll decay tests in calm water with forward speed. A simplified nonlinear modeling was proposed to account for the roll motion amplitude above threshold. The comparison with the experimental results is reasonably good.
An Experimental Investigation of Parametric Rolling in Head Waves
Contributed by the OMAE Division and presented at the 19th International Symposium and Exhibit on Offshore Mechanics and Arctic Engineering, New Orleans, Louisiana, February 14–17, 2000, of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS. Manuscript received by the OMAE Division, December 4, 2000; revised manuscript received January 2001. Associate Editor: J. Falzarano.
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Francescutto, A. (January 1, 2001). "An Experimental Investigation of Parametric Rolling in Head Waves ." ASME. J. Offshore Mech. Arct. Eng. May 2001; 123(2): 65–69. https://doi.org/10.1115/1.1355247
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