On third-order radiation theory for axisymmetric bodies undergoing heave motion of multiple frequencies (Q1081368)

As a first step in the development of a nonlinear theory for calculating the response of an axisymmetric system to an irregular sea, the radiation problem for axisymmetric floating or immersed bodies in a periodic heave motion, composed of a number of harmonic components, is considered by means of a third-order potential theory. It is shown that the knowledge of only first-and second-order potential functions is required for the calculation of all forces up to the third order. A boundary integral equation method is proposed for the determination of these potential functions.