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The motions of a floating slender torus

Published online by Cambridge University Press:  12 April 2006

J. N. Newman
J. N. Newman
Affiliation:
Department of Ocean Engineering, Massachusetts Institute of Technology, Cambridge
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Abstract

The motions of a floating torus oscillating in response to incident waves are analysed under the assumptions that the incident wavelength is comparable with the radius of the body section and small compared with the larger radius of the torus. This problem serves to illustrate certain features of the strip theory for ship motions, but the axisymmetric geometry and absence of body ends greatly simplify the analysis. Matched asymptotic expansions are used, with the inner solution close to the body section composed of suitable radiation and scattering problems for the two-dimensional circular cylinder. Resonant standing-wave modes in the internal basin have a singular effect upon the hydrodynamic forces acting on the body, and its response to incident waves.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 83 , Issue 4 , 21 December 1977 , pp. 721 - 735
Copyright
© 1977 Cambridge University Press

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