Abstract

This paper generalizes the "Haskind relations" for the exciting forces in waves, to include the effects of constant forward speed. The analysis assumes the fluid to the ideal and incompressible, and the disturbance of the free surface to be small. The analytical relations are derived for the exciting forces in regular waves, in terms of the radiation potential associated with the forced harmonic oscillations of the same body in calm water. For this purpose it is sufficient to know the far-field asymptotic form of the radiation potential. The results are applied to the case of a submerged ellipsoid, to give the six exciting forces and moments as functions of the wave length, heading angle, and forward velocity.

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