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A non-linear numerical method for the simulation of parametric roll resonance in regular waves

A non-linear numerical method for the simulation of parametric roll resonance in regular waves
A non-linear numerical method for the simulation of parametric roll resonance in regular waves
In this paper, a non-linear time-domain method is used for the prediction of parametric roll resonance in regular waves, assuming the ship to be a system with three degrees of freedom in heave, pitch and roll. Coupled heave and pitch motions are obtained using a three-dimensional frequency-domain potential flow method which also provides the requisite hydrodynamic data of the ship in roll i.e. the potential flow based added inertia and damping. Periodic changes in the underwater hull geometry due to heave, pitch and the wave profile are calculated as a function of the instantaneous breadth. This is carried out using a two-dimensional approach i.e. for sections along the ship and at each time step. This formulation leads to a mathematical model that represents the roll equation of motion with third order non-linearities in the parametric excitation terms. Non-linearities in the roll damping and restoring terms are also accounted for. This method has been applied to two different hull forms, a post-Panamax C11 class containership and a transom stern Trawler, both travelling in regular waves. Special attention is focused on the influence of different operational aspects on parametric roll. Obtained results demonstrate that this numerical method succeeds in producing results similar to those available in the literature, both numerical and experimental.
Hudson, Dominic A.
3814e08b-1993-4e78-b5a4-2598c40af8e7
Ballard, Edward J.
722e198b-0014-4bc8-821d-51154063c79f
Temarel, Pandeli
b641fc50-5c8e-4540-8820-ae6779b4b0cf
Ahmed, Tamer
64d97c8c-2726-4daf-850b-997b01426c01
Hudson, Dominic A.
3814e08b-1993-4e78-b5a4-2598c40af8e7
Ballard, Edward J.
722e198b-0014-4bc8-821d-51154063c79f
Temarel, Pandeli
b641fc50-5c8e-4540-8820-ae6779b4b0cf
Ahmed, Tamer
64d97c8c-2726-4daf-850b-997b01426c01

Hudson, Dominic A., Ballard, Edward J., Temarel, Pandeli and Ahmed, Tamer (2008) A non-linear numerical method for the simulation of parametric roll resonance in regular waves. 27th International Conference on Offshore Mechanics and Arctic Engineering, , Estoril, Portugal. 14 - 19 Jun 2008.

Record type: Conference or Workshop Item (Paper)

Abstract

In this paper, a non-linear time-domain method is used for the prediction of parametric roll resonance in regular waves, assuming the ship to be a system with three degrees of freedom in heave, pitch and roll. Coupled heave and pitch motions are obtained using a three-dimensional frequency-domain potential flow method which also provides the requisite hydrodynamic data of the ship in roll i.e. the potential flow based added inertia and damping. Periodic changes in the underwater hull geometry due to heave, pitch and the wave profile are calculated as a function of the instantaneous breadth. This is carried out using a two-dimensional approach i.e. for sections along the ship and at each time step. This formulation leads to a mathematical model that represents the roll equation of motion with third order non-linearities in the parametric excitation terms. Non-linearities in the roll damping and restoring terms are also accounted for. This method has been applied to two different hull forms, a post-Panamax C11 class containership and a transom stern Trawler, both travelling in regular waves. Special attention is focused on the influence of different operational aspects on parametric roll. Obtained results demonstrate that this numerical method succeeds in producing results similar to those available in the literature, both numerical and experimental.

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More information

Published date: August 2008
Venue - Dates: 27th International Conference on Offshore Mechanics and Arctic Engineering, , Estoril, Portugal, 2008-06-14 - 2008-06-19
Organisations: Fluid Structure Interactions Group

Identifiers

Local EPrints ID: 64774
URI: http://eprints.soton.ac.uk/id/eprint/64774
PURE UUID: 0bfa91b9-b29b-4fa4-b056-7e76fbe9c19b
ORCID for Dominic A. Hudson: ORCID iD orcid.org/0000-0002-2012-6255
ORCID for Pandeli Temarel: ORCID iD orcid.org/0000-0003-2921-1242

Catalogue record

Date deposited: 15 Jan 2009
Last modified: 08 Jan 2022 02:41

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Contributors

Author: Edward J. Ballard
Author: Pandeli Temarel ORCID iD
Author: Tamer Ahmed

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