Abstract
This paper studies the time-harmonic motions of a three-dimensional elastic floating body on the sea, in the case of finite and constant depth. In order to compute the resonant states of such a system, a variational formulation for the determination of the scattering frequencies of the problem is investigated, i.e., the poles of the analytic continuation of the solution operator. A practical method, based on a series expansion of the solution in a vicinity of infinity, is described. The scattering frequencies are shown to be the solutions of a nonlinear eigenvalue problem for a compact operator. Numerical results for a two-dimensional model are presented.
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