Modeling of Ship Roll Dynamics and Its Coupling with Heave and Pitch

In order to study the dynamic behavior of ships navigating in severe environmental conditions it is imperative to develop their governing equations of motion taking into account the inherent nonlinearity of large-amplitude ship motion. The purpose of this paper is to present the coupled nonlinear eq...

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Bibliographic Details
Published in:Mathematical Problems in Engineering 2010-01, Vol.2010 (2010), p.1192-1223-269
Main Authors: Ibrahim, R. A., Grace, I. M.
Format: Article
Language:English
Subjects:
Amplitudes
Capsizing
Damping
Design
Equations of motion
Heaving
Mathematical models
Motion stability
Nonlinear dynamics
Nonlinear equations
Nonlinearity
Parameter estimation
Parameter identification
Partial differential equations
Pitch (inclination)
Rolling moments
Rolling motion
Ship motion
Statistical analysis
Studies
Theory
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Summary:In order to study the dynamic behavior of ships navigating in severe environmental conditions it is imperative to develop their governing equations of motion taking into account the inherent nonlinearity of large-amplitude ship motion. The purpose of this paper is to present the coupled nonlinear equations of motion in heave, roll, and pitch based on physical grounds. The ingredients of the formulation are comprised of three main components. These are the inertia forces and moments, restoring forces and moments, and damping forces and moments with an emphasis to the roll damping moment. In the formulation of the restoring forces and moments, the influence of large-amplitude ship motions will be considered together with ocean wave loads. The special cases of coupled roll-pitch and purely roll equations of motion are obtained from the general formulation. The paper includes an assessment of roll stochastic stability and probabilistic approaches used to estimate the probability of capsizing and parameter identification.
ISSN:1024-123X
1563-5147
DOI:10.1155/2010/934714