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The decay of free motion of a floating body: force coefficients at large complex frequencies

Published online by Cambridge University Press:  28 March 2006

G. D. Crapper
G. D. Crapper
Affiliation:
Department of Mathematics, University of Leeds
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Abstract

The results of Ursell (1964) are confirmed by proving that there are no additional contributions to Ursell's integral from singularities of the integrand at infinity. The method consists of proving that the asymptotic expansion of a force coefficient Δ(N) is uniformly valid in a finite sector of the complex N-plane. This in turn requires that the kernel of an integral equation remains small in this sector.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 32 , Issue 2 , 3 May 1968 , pp. 333 - 337
Copyright
© 1968 Cambridge University Press

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