超大型円盤浮体の規則波中弾性応答特性について

概要

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This paper describes a theoretical approach for hydroelastic responses of a very large floating circular plate in regular waves. Eigenvalues and eigenmodes of a uniform circular plate with free edge in dry condition are determined analytically through the Bessel and modified Bessel function expansions of the solutions of the equation of free vibration and the boundary conditions. The corresponding modal hydrodynamic loads on it are determined by the Rayleigh-Ritz method of domain decomposition type, where the fluid region is divided by a fictitious boundary into two subregions, an inner subregion just below the circular plate and the remaining outer subregion. Velocity potentials are expressed as a sum of the appropriate orthogonal eigenfunction expansions and the corresponding particular solutions (if necessary), and the matching conditions are imposed on them over the interface. Then the body-wave interactions are analyzed, based on the modal equation of motion expressed by the modal mass and stiffness as well as the calculated modal hydrodynamic loads. Computed eigenvalues and eigenmodes show good agreement with those by Kirchhoff. Pilot hydroelastic calculations have been successfully done. The results have made clear fairly different hydroelastic features of an elastic circular plate in waves from those of a rectangular counterpart.
社団法人日本船舶海洋工学会の論文
2001-08-31