Hostname: page-component-78c5997874-fbnjt Total loading time: 0 Render date: 2024-11-06T12:15:57.321Z Has data issue: false hasContentIssue false
  • English
  • Français

On the harmonic oscillations of a rigid body on a free surface

Published online by Cambridge University Press:  28 March 2006

W. D. Kim
W. D. Kim
Affiliation:
Beeing Scientific Research Laboratories, Seattle, Washington
Get access Rights & Permissions [Opens in a new window]

Abstract

The present paper deals with the practical and rigorous solution of the potential problem associated with the harmonic oscillation of a rigid body on a free surface. The body is assumed to have the form of either an elliptical cylinder or an ellipsoid. The use of Green's function reduces the determination of the potential to the solution of an integral equation. The integral equation is solved numerically and the dependency of the hydrodynamic quantities such as added mass, added moment of inertia and damping coefficients of the rigid body on the frequency of the oscillation is established.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 21 , Issue 3 , March 1965 , pp. 427 - 451
Copyright
© 1965 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

Barakat, R. 1962 Vertical motion of a floating sphere in a sine-wave sea. J. Fluid Mech. 13, 540–56.Google Scholar
Havelock, T. 1955 Waves due to a floating sphere making periodic heaving oscillations. Proc. Roy. Soc. A, 231, 1–7.Google Scholar
John, F. 1949 On the motion of floating bodies. I. Comm. Pure Appl. Math. 2, 13–57.Google Scholar
John, F. 1950 On the motion of floating bodies. II. Comm. Pure Appl. Math. 3, 45–101.Google Scholar
Kim, W. D. 1963 On the forced oscillations of shallow draft ships. J. Ship Res. 7, 7–18.Google Scholar
Kim, W. D. 1964 On oscillating ships in waves. Tech. Memorandum, no. 25. Flight Sciences Laboratory, Boeing Scientific Research Laboratories.
Kotchin, N. E. 1940 The theory of waves generated by oscillations of a body under the free surface of a heavy incompressible fluid. Uchenye Zapiski Moskov. Gos. Univ. no. 46.
Macagno, E. O. & Landweber, L. 1960 Added mass of a rigid prolate spheroid oscillating horizontally in a free surface. J. Ship Res. 3, 30–6.Google Scholar
MacCamy, R. C. 1954 The motion of a floating sphere in surface waves. Tech. Rep., Series 61, Issue 4, Inst. Engng Res., Berkeley, California.
MacCamy, R. C. 1961 On the heaving motion of cylinders of shallow draft. J. Ship Res., 5, 34–43.Google Scholar
Porter, W. R. 1960 Pressure distributions, added mass and damping coefficients for cylinders oscillating in a free surface. Tech. Rep., Series 82, Issue 16, Inst. Engng Res., Berkeley, California.
Tasai, F. 1961 Hydrodynamic force and moment produced by swaying and rolling oscillation of cylinders on the free surface. Rep. Res. Inst. Appl. Mech., Kyushu Univ., 9, 91–119.Google Scholar
Ursell, F. 1949a On the heaving motion of a circular cylinder on the surface of a fluid. Quart. J. Mech. Appl. Math. 2, 218–31.Google Scholar
Ursell, F. 1949b On the rolling motion of cylinders in the surface of a fluid. Quart. J. Mech. Appl. Math. 2, 335–53.Google Scholar
Ursell, F. 1953 Short surface waves due to an oscillating immersed body. Proc. Roy. Soc. A, 220, 90–103.Google Scholar
Wehausen, J. V. & Laitone, E. V. 1960 Surface waves. Encycl. Phys. 9, 446–778.Google Scholar