Hostname: page-component-cd9895bd7-dk4vv Total loading time: 0 Render date: 2024-12-18T15:51:56.755Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Bessho, M. 1965 On the theory of rolling motion of ships among waves. Rep. Sci. Res. Defence Acad. Japan 3, 1.Google Scholar
Davis, A. M. J. 1975 Short surface waves due to a heaving torus. Mathematika 22, 122–134.Google Scholar
Davis, A. M. J. 1976 On the short surface waves due to an oscillating, partially immersed body. J. Fluid Mech. 75, 791–807.Google Scholar
Garrett, C. J. R. 1970 Bottomless harbours. J. Fluid Mech. 43, 433–449.Google Scholar
Lee, C. M. 1977 Motion characteristics of floating bodies. J. Ship Res. 20, 181–190.Google Scholar
Maruo, H. 1970 An improvement of the slender body theory for oscillating ships with zero forward speed. Bull. Fac. Engng, Yohakama Nat. Univ. 19, 45–56.Google Scholar
Newman, J. N. 1975 Interaction of waves with two-dimensional obstacles: a relation between the radiation and scattering problems. J. Fluid Mech. 71, 273–282.Google Scholar
Newman, J. N. 1976 The interaction of stationary vessels with regular waves. Proc. 11th Symp. Naval Hydrodyn., Univ. Coll., London.
Ogilvie, T. F. 1977 Singular perturbation problems in ship hydrodynamics, Adv. in Appl. Mech. 17, 92–187.Google Scholar
Ohkusu, M. 1974 Hydrodynamic forces on multiple cylinders in waves. Proc. Int. Symp. Dyn. Marine Vehicles and Structures in Waves. pp. 107–112. London: Inst. Mech. Engrs.
Rhodes-Robinson, P. F. 1971 On the short cylindrical waves due to a body heaving on water. I. Proc. Camb. Phil. Soc. 70, 311–321.Google Scholar
Ursell, F. 1953 Short surface waves due to an oscillating immersed body. Proc. Roy. Soc. A 220, 90–103.Google Scholar
Ursell, F. 1961 The transmission of surface waves under surface obstacles. Proc. Camb. Phil. Soc. 57, 638–668.Google Scholar
Ursell, F. 1962 Slender oscillating ships at zero forward speed. J. Fluid Mech. 14, 496–516.Google Scholar
Wang, S. & Wahab, R. 1971 Heaving oscillations of twin cylinders in a free surface. J. Ship Res. 15, 33–48.Google Scholar
Wu, T. Y. & Yates, G. T. 1976 Finite-amplitude unsteady slender-body flow theory. Proc. 11th Symp. Naval Hydrodyn. Univ. Coll., London.