Maximum wave power absorption by slender bodies of arbitrary cross sections in oblique seas

Published results for the maximum wave power absorption by slender bodies subjected to vertical deformations are extended. To this end, a more general form of the Kochin function is derived for floating or submerged slender bodies of arbitrary (asymmetric) cross sections undergoing vertical or horizontal deformations. The Kochin function allows a determination of the theoretical maximum wave power absorption in oblique seas. It is shown that in beam seas, two-dimensional limits can be recovered when the slender body length tends to infinity. This establishes a formal continuity in behavior from attenuators (head seas) to terminators (beam seas). The wavelike vertical and horizontal deformations of a flexible body, as well as the hinge motions of an articulated raft are also considered in oblique seas. In the former case, results suggest an equivalence between the maximum absorption width of bodies with symmetric cross sections and two degrees of freedom, and that of bodies with optimal cross sections and one degree of freedom. Overall, the potential for significant wave power absorption from horizontal motions is also demonstrated.