A B-Spline Element Method for Predicting the Hydroelastic Responses of a Very Large Floating Structure in Waves

概要

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A new modal analysis method, the B-spline element method, has been developed in this study for estimating the hyroelastic responses of a very large floating structure in waves. A motion equation for the elastic structure has been proposed in this method according to the energy-conservation principle. The unknown deflection and load, the hydrodynamic pressure, of the structure are both discretized with bi-cubic B-spline function. The B-spline expressions of the dry-eigenmodes of the structure are obtained by solving the eigenvalue problem of the proposed motion equation With the resultant eigenmodes, hydrodynamic pressures due to the structure motion and incident waves are calculated by applying the pressure distribution method. Differing from the conventional Finite Element Method, B-spline element method ensures the continuity for not only the structure deflection but also the strains and stresses, and therefore it may have better accuracy. The usage of B-spline discretization for the pressures makes of the proposed method and experimental data have been carried out, and it shows that they are in a very good agreement.
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