Open AccessJournal Article
Nonlinear dynamics on parametric roll resonance with realistic numerical modelling
TLDR
In this article, the authors describe the latest collaborative researches between Japan and the UK on parametric roll resonance of a container ship in following and head seas with realistic modelling of restoring moment as a nonlinear function of wave steepness in experimental, geometrical and analytical approaches.Abstract:
This paper describes latest collaborative researches between Japan and the UK on parametric roll resonance of a container ship in following and head seas with realistic modelling of restoring moment as a nonlinear function of wave steepness in experimental, geometrical and analytical approaches. Firstly, captive model experiments were conducted, and demonstrated that the Froude-Krylov prediction could overestimate the amplitude of its variation. Secondly, Poincare mapping technique applied to the numerical model with measured time-varying restoring moment was used for tracing stable steady states, and revealed symmetry-breaking, period-doubling, chaos and capsizing associated with parametric roll resonance. Thirdly, an averaging method was applied to the same numerical model, and confirmed good agreement with the Poincare mapping as well as subcritical bifurcation. Finally, by utilising the present numerical model and methodology, it is shown that a requirement of higher metacentric height does not always improve safety for capsizing associated with parametric roll resonance.read more
Citations
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Journal ArticleDOI
Nonlinear oscillations, dynamical systems, and bifurcations of vector fields : John Guckenheimer and Philip Holmes Springer-Verlag, New York, 1983, 453 pp., $32.00
Journal ArticleDOI
Nonlinear parametric rolling in regular waves—a general procedure for the analytical approximation of the GZ curve and its use in time domain simulations
TL;DR: In this paper, a general procedure for the analytical approximation of the restoring arm in regular longitudinal waves is presented, where the aim of the approximation is to obtain an analytical and accurate means for substituting the look-up table method in time domain simulations of realistic nonlinear parametric roll.
Journal ArticleDOI
Influence of non-linearities on the limits of stability of ships rolling in head seas
TL;DR: In this paper, a new third-order coupled mathematical model is considered for parametric resonance in head seas and the restored modes of heave, roll, and pitch are considered.
Proceedings ArticleDOI
Investigation on Parametrically Excited Motions of Point Absorbers in Regular Waves
Kevin R. Tarrant,Craig Meskell +1 more
TL;DR: In this paper, a time-domain nonlinear numerical model is presented for describing the dynamic stability of point absorbers, where pressure of the incident wave is integrated over the instantaneous wetted surface to obtain the nonlinear Froude-Krylov excitation force and the non linear hydrostatic restoring forces, while first order diffraction-radiation forces are computed by a linear potential flow formulation.
Journal Article
On the nonlinear modeling of parametric rolling in regular and irregular waves
TL;DR: This paper summarizes the results and the problems still open regarding the development of a 1.5DOF nonlinear mathematical model of the parametric rolling in longitudinal waves with particular regard to the head sea condition.
References
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Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
TL;DR: In this article, the authors introduce differential equations and dynamical systems, including hyperbolic sets, Sympolic Dynamics, and Strange Attractors, and global bifurcations.
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Nonlinear Dynamics and Chaos
TL;DR: In this paper, the authors present a broad overview of nonlinear phenomena point attractors in autonomous systems, including limit cycles in autonomous system, and chaotic behaviour of one-and two-dimensional maps.
An investigation of head-sea parametric rolling and its influence on container lashing systems
TL;DR: In this paper, a post-Panamax C11 class containership encountered extreme weather and sustained extensive loss and damage to deck stowed containers, and the motions of the vessel during this storm event were investigated through a series of model tests and numerical analyses that confirmed the vessel's parametric rolling response in head seas at the time of the casualty.
Journal ArticleDOI
An Investigation of Head-Sea Parametric Rolling and its Influence on Container Lashing Systems
TL;DR: In this paper, a post-Panamax, C11 class containership encountered extreme weather and sustained extensive loss and damage to deck stowed containers during a storm event, and the motions of the vessel during this storm event were investigated through a series of model tests and numerical analyses.