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Publicações
Sutulo, S. e Guedes Soares, C. (2008), “A Generalized Strip Theory for Curvilinear Motion in Waves”, Proceedings of the 27th International Conference on Offshore Mechanics and Arctic Engineering (OMAE´08), 15-20 June, Estoril, Portugal, ASME, New York, Paper OMAE2008-57936
A simulation-oriented mathematical model for a slender ship manoeuvring in waves was devised as a fusion of two classic linear strip theory implementations used separately in manoeuvring and seakeeping. Two basic requirements were formulated: the generalized model must reduce to the popular SalvesenTuckFaltinsen seakeeping model in the particular case of the rectilinear base motion (constant speed advance) and to the Munk theory in absence of waves and wave-induced motions. It was assumed that the generalized model will then be reasonably consistent in intermediate regimes.
The primary problem formulation was performed under the assumption that small-amplitude oscillations with the encounter frequency in regular seas are superimposed with the arbitrary base manoeuvring motion characterized by slowly-varying kinematic parameters. After the velocity potential’s decomposition into the quasi-steady and substantially unsteady parts, application of the Bernoulli equation, and further integration over the wetted surface (which can be taken in its equilibrium or instantaneous position) result in the representation of hydrodynamic forces in the frequency domain through longitudinal distributions of the sectional complex added masses and their longitudinal derivatives. The frequency-dependent coefficients are then approximated with rational fractions and, further, subjected to the Fourier transform. As a result, a set of ordinary differential equations for the time-dependent hydrodynamic forces and auxiliary state variables were obtained.
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