Journal ArticleDOI
Effect of Mooring Line Arrangement on the Dynamics of Spread Mooring Systems
TLDR
In this article, a design methodology is formulated to reveal the dependence of nonlinear slow motion dynamics of spread Mooring systems (SMS) on mooring line arrangement, and catastrophe sets are developed in the parametric design space showing dependence of stability boundaries and singularities of bifurcations on design variables.Abstract:
A design methodology is formulated to reveal the dependence of nonlinear slow motion dynamics of Spread Mooring Systems (SMS) on mooring line arrangement. For a given SMS configuration, catastrophe sets are developed in the parametric design space showing the dependence of stability boundaries and singularities of bifurcations on design variables. This approach eliminates the need for nonlinear simulations. For general SMS design, however, the designer relies on experience rather than scientific understanding of SMS nonlinear dynamics, due to the high number of design variables. Several numerical applications are used to demonstrate counterintuitive ways of improving SMS dynamics. The SMS design methodology formulated in this paper aims at providing fundamental understanding of the effects of mooring line arrangement and pretension on SMS horizontal plane dynamics. Thus, the first guidelines are developed to reduce trial and error in SMS design. The methodology is illustrated by comparing catastrophe sets for various SMS configurations with up to three mooring lines. Numerous examples for a barge and a tanker SMS which exhibit qualitatively different nonlinear dynamic behaviour are provided.read more
Citations
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Journal ArticleDOI
Nonlinear vibrations of suspended cables—Part III: Random excitation and interaction with fluid flow
Journal ArticleDOI
Current forces in tankers and bifurcation of equilibrium of turret systems : hydrodynamic model and experiments
TL;DR: In this paper, a heuristic hydrodynamic model is proposed to describe the forces and moment in the horizontal plane in a tanker caused by an ocean current, and the results from this model were confronted with experimental values obtained by Wichers (A Simulation Model for a Single Point Moored Tanker, Publ. 797, MARIN, Wageningen, the Netherlands, 1988).
Journal ArticleDOI
Slow motion dynamics of turret mooring and its approximation as single point mooring
TL;DR: In this paper, a mathematical model for the nonlinear dynamics of slow motions in the horizontal plane of TMS is presented, and the effect of the friction moment exerted between the turret and the vessel and the mooring line damping moment resulting from the turret rotation are identified.
Journal ArticleDOI
Nonlinear dynamics of a coupled surge-heave small-body ocean mooring system
Oded Gottlieb,Solomon C. Yim +1 more
TL;DR: In this article, a coupled surge-heave motion of a symmetric small-body ocean mooring system is investigated using a Lagrangian approach in the vertical plane of motion.
Journal ArticleDOI
Nonlinear dynamics and stability of spread mooring with riser
Boo Ki Kim,Michael M. Bernitsas +1 more
TL;DR: In this article, the dynamics of a floating vessel with its spread mooring and riser subjected to environmental excitation from current, wind, and waves is studied to investigate the effect of riser dynamics on the stability and bifurcation sequences of stationkeeping.
References
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Book
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.
A Reflection on Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
J. Guckenheimer,P. J. Holmes +1 more
TL;DR: In this paper, the authors introduce differential equations and dynamical systems, including hyperbolic sets, Sympolic Dynamics, and Strange Attractors, and global bifurcations.
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Introduction to Applied Nonlinear Dynamical Systems and Chaos
TL;DR: The Poincare-Bendixson Theorem as mentioned in this paper describes the existence, uniqueness, differentiability, and flow properties of vector fields, and is used to prove that a dynamical system is Chaotic.