Prediction of parametric roll resonance in longitudinal regular waves using a non-linear method

Ahmed, T.M., Hudson, D.A., Temarel, P. and Ballard, E.J. (2006) Prediction of parametric roll resonance in longitudinal regular waves using a non-linear method. Proceedings of the 9th International Conference on Stability of Ships and Ocean Vehicles (STAB2006), Rio de Janeiro, Brazil. 24 - 28 Sep 2006. 8 pp .

Abstract

In this paper, two non-linear, time-domain methods are proposed for the prediction of parametric roll resonance in longitudinal regular waves. Using a two-dimensional approach, periodic changes in the underwater hull geometry due to heave, pitch and the wave passage are calculated as a first order function of the local breadth and flare at the waterline in Method (I), and as a higher order function of the local instantaneous breadth in Method (II). The 1-DoF uncoupled equation of motion in roll –with parametric excitation terms- is then solved in the time-domain in the absence of an external roll excitation. Non-linearities in the roll damping and restoring terms are accounted for. The two methods have been applied to a post-Panamax C11 class containership, travelling in longitudinal regular waves. Obtained results demonstrate that the numerical methods have succeeded in producing results similar to those available in the open literature. Limitations of the methods used are discussed.

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Contributors

Author: D.A. Hudson

Author: P. Temarel

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