On the Parametric Resonance of Tumblehome Hullforms in a Longitudinal Seaway |
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Authors: | LEIGH S. McCUE BRADLEY L. CAMPBELL WILLIAM F. BELKNAP |
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Affiliation: | Virginia Tech's Department of Aerospace and Ocean Engineering ;Seakeeping Division (Code 55) of the Naval Surface Warfare Center, Carderock Division |
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Abstract: | This work presents a numerical study of the influence of topside shape on parametric roll in longitudinal seas. The ONR 3 Topsides hulls are used to compare the single degree-of-freedom rolling response of a destroyer-sized vessel with flared (model 5613), tumblehome (model 5613-1), and wallsided (model 5613-2) shapes above the waterline. Through this relative comparison, the key aspects of parametric resonance of a tumblehome hullform are highlighted, namely the reduction in head seas forward speed required to encounter parametric roll. A variant on the Mathieu equation is used to simulate roll motions. |
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