Predicting parametric rolling in irregular head seas with added resistance taken into account |
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| Authors: | Jiang Lu Naoya Umeda Kun Ma |
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| Institution: | (1) Department of Naval Architecture and Ocean Engineering, State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, No. 2 Linggong Road, Ganjingzi, Dalian, 116024, Liaoning, China;(2) Present address: China Ship Scientific Research Center, No.222 Shanshuidong Road, Binhu, Wuxi, 214082, Jiangsu, China;(3) Department of Naval Architecture and Ocean Engineering, Osaka University, 2-1 Yamadaoka, Suita Osaka, 565-0871, Japan;(4) Ship CAD Engineering Centre, Dalian University of Technology, No. 2 Linggong Road, Ganjingzi, Dalian, 116024, Liaoning, China |
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| Abstract: | Parametric rolling in irregular head seas is investigated using numerical simulation in the time domain in this paper. The
effect of the change in speed due to added resistance on parametric rolling is taken into account. Three methods of calculating
the added resistance in irregular head seas are applied to this problem, and then Pinkster’s method, which considers the time-varying
added resistance in irregular head seas, is extended for further investigations in this paper. Furthermore, the Froude–Krylov
component of restoring variation is estimated with coupling from heave and pitch motions, and the hydrodynamic effects are
extrapolated nonlinearly with regards to roll angle. Finally, the “practical non-ergodicity” of parametric roll is investigated
with a model experiment at zero forward speed and using the simulation, and the effect of added resistance is investigated
with the simulation. |
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