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

Prediction of parametric roll resonance in longitudinal regular waves using a non-linear method
Prediction of parametric roll resonance in longitudinal regular waves using a non-linear method
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.
parametric roll resonance, longitudinal regular waves, non-linear, time-domain
Ahmed, T.M.
119524e4-9aea-4019-8e84-bd4391e1bb7d
Hudson, D.A.
3814e08b-1993-4e78-b5a4-2598c40af8e7
Temarel, P.
b641fc50-5c8e-4540-8820-ae6779b4b0cf
Ballard, E.J.
7f9f32f2-e814-4b8a-91cf-94aa45d0306c
Ahmed, T.M.
119524e4-9aea-4019-8e84-bd4391e1bb7d
Hudson, D.A.
3814e08b-1993-4e78-b5a4-2598c40af8e7
Temarel, P.
b641fc50-5c8e-4540-8820-ae6779b4b0cf
Ballard, E.J.
7f9f32f2-e814-4b8a-91cf-94aa45d0306c

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 .

Record type: Conference or Workshop Item (Paper)

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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More information

Published date: November 2006
Venue - Dates: Proceedings of the 9th International Conference on Stability of Ships and Ocean Vehicles (STAB2006), Rio de Janeiro, Brazil, 2006-09-24 - 2006-09-28
Keywords: parametric roll resonance, longitudinal regular waves, non-linear, time-domain
Organisations: Fluid Structure Interactions Group

Identifiers

Local EPrints ID: 42354
URI: http://eprints.soton.ac.uk/id/eprint/42354
PURE UUID: fed223c6-74b5-486e-8e3d-652399fd3ac4
ORCID for D.A. Hudson: ORCID iD orcid.org/0000-0002-2012-6255
ORCID for P. Temarel: ORCID iD orcid.org/0000-0003-2921-1242

Catalogue record

Date deposited: 30 Nov 2006
Last modified: 24 Jul 2020 01:32

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Contributors

Author: T.M. Ahmed
Author: D.A. Hudson ORCID iD
Author: P. Temarel ORCID iD
Author: E.J. Ballard

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