A Solution for the Oscillating Slender-Body with Forward-Speed : Extention of the Strip Theory to the Forward-Speed Problem

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This paper generalizes the Chapman's method for applying to an uniform ship-like body forced to oscillate sinusoidally in calm water with constant forward-speed. Chapman (1975) solved the problem for a flat plate oscillates in yaw and sway by expressing the solution as a Duhamel integral of the two-dimensional (2-D) inditial solutions. In the present paper, this inditial solution is obtained as the sum of all harmonic components when a 2-D body oscillates in calm water. As an example, the singularity distributions on the central axis of the body required for the far-field solution are evaluated by the present method and compared with the strip theory for an uniform slender-body forced to heave and pitch. The relationship between the present method and the strip theory is discussed and it is shown that the both solutions are equivalent when the length of a body is assumed to be infinitely long or in the zero forward-speed limit.
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