Added mass and damping of a sphere section in heave |
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| Authors: | DV Evans P McIver |
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| Institution: | School of Mathematics, University of Bristol, UK |
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| Abstract: | The Norwegian wave-power buoy1 consists of a half-immersed floating sphere which is open to the sea at the bottom end. It is a two degree-of-freedom device involving the independent motion of the outer rigid sphere and the pressure across the internal free surface. A simpler model of the device is to represent the oscillatory flow through the bottom opening as another rigid body motion being that of the curved surface which would complete the sphere.The wave-induced forces on this surface and also the outer spherical surface due to independent oscillations of either are determined semi-analytically using a simple extension of the method of Havelock,2 recently simplified and generalised by Hulme,3 for the complete half-immersed sphere. In particular the 2 × 2 added mass and damping matrices are determined as a function of frequency and relative size of bottom opening to sphere radius. These quantities are essential in any theoretical analysis of a multi-degree of freedom wave-energy device. |
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| Keywords: | Added mass damping sphere section heave |
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