ON THE HEAVE RADIATION OF A RECTANGULAR STRUCTURE

In this paper, an analytic solution to the heave radiation problem of a rectangular structure is presented. To solve the problem analyticall y, the nonhomogeneous boundary value problem is linearly decomposed in to homogeneous ones which can be readily solved. To provide further co mparisons to the present analytic solution, a boundary element method is also presented to solve the problem. The present analytic solution is compared with the result by Black et al. [(1971) Radiation and scat tering of water waves by rigid bodies. J. Fluid Mech. 46, 151-164], an d the boundary element solution, and the comparisons show very good ag reements. Upon examination of the present analytic solution, it is sho wn that the solution satisfies the nonhomogeneous boundary condition i n a sense of series convergence. Using the present analytic solution, the generated waves, the added mass and the radiation damping coeffici ents, as well as the hydrodynamic effects of the submergence and the w idth of the structure, are investigated.