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Third-order theory for determining the hydrodynamic forces on axisymmetric floating or submerged bodies in oscillatory heaving motion
Authors:M Vantorre
Abstract:An investigation of the hydrodynamic behaviour of bodies in a large-amplitude oscillatory motion, for example in view of wave power absorption by floating bodies, not only requires the knowledge of added mass and damping coefficients, which can be calculated by means of a linear theory, but also of higher-order forces. Especially the third-order values will have to be calculated, because they contain a first-harmonic component.A computation procedure has been developed in order to calculate hydrodynamic forces up to the third order, acting on axisymmetric bodies in an oscillatory heaving motion. The method only requires the knowledge of first- and second-order potential functions, even for the calculation of third-order forces.Experiments have been carried out on floating conical and submerged cylindrical models, in order to evaluate the theoretical procedure.
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