Dynamical Theory of Potential Flows with a Free Surface: A Classical Approach to Strip Theory of Ship Motions

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Abstract
The application of the dynamical theory to problems involving a solid body moving in an unbounded medium of inviscid and incompressable fluid is well known in classical hydrodynamics. The distinctive feature of this method is that the fluid and the body together are treated as one dynamical system and the description of the problem requires only one single source of information, the kinetic energy of the fluid resulting from the motion of the solid body. In this paper, the application of this classical method to floating-body problems is presented. In particular, the method is applied to derive the dynamic coefficients in the equations of ship motion following the strip-theory approximation. Formulas for the added-mass and dampling coefficients are obtained, and the differences as compared with those used in the latest version of strip theory are discussed.

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