Abstract
This paper concerns the hydrodynamic parameters of a system of two concentric cylinders of the same radius. One cylinder is semi-submerged while the other is submerged and placed inside a tube with infinitesimal wall thickness. This geometry resembles the so-called IPS buoy. The velocity potential is obtained as infinite series of vertical eigenfunctions in different regions of the fluid domain. By matching the solutions, a set of integral equations is obtained for the radial velocity at the region boundaries. After discretisation of the integral equations, the radiation impedance matrix is obtained directly and the excitation forces are obtained through the Haskind relation. Numerical results are presented here for a geometry where the tube is long compared with the cylinder inside it. The excitation forces on the two cylinders are anti-phase, and the cross terms of the radiation resistance matrix are negative. It is shown that because of the singularity of the radiation resistance matrix, a control force between the two bodies is sufficient to obtain maximum absorbed power.
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