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RESEARCH PAPERS

Wave Heights and Damping Coefficients for Half-Submerged Ellipsoids in Low-Frequency Sway and Yaw

[+] Author and Article Information
J. Lurye

TRG, Incorporated, Melville, N. Y.

O. Pinkus

Republic Aviation Corporation, Farmingdale, N. Y.

J. Appl. Mech 31(4), 597-604 (Dec 01, 1964) (8 pages) doi:10.1115/1.3629720 History: Received June 17, 1963; Online September 15, 2011

Abstract

The authors consider the problem of an ellipsoid performing simple-harmonic swaying or yawing oscillations of small amplitude in the free surface of an ideal incompressible fluid, with gravity. The problem is examined in the limit of low frequency. The first nonzero term in the radiation pattern, which is a dipole term, and the damping coefficient, are found for sway. In the case of yaw the first nonzero term in the radiation pattern is a quadrupole term, and involves a higher power of frequency. Hence, the damping coefficient for yaw is of smaller order than the damping coefficient for sway, at low frequency. The strip-theory prediction of the sway damping coefficient is compared with the exact value and is shown to be too large by a factor of order K.

Copyright © 1964 by ASME
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