International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 57, Pages 3643-3656
doi:10.1155/S0161171203209285
Surge motion on a floating cylinder in water of
finite depth
Department of Mathematics, Louisiana State University Alexandria (LSUA), Alexandria 71302, LA, USA
Received 10 September 2002; Revised 16 October 2002
Copyright © 2003 Dambaru D. Bhatta. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
We derived added mass and damping coefficients of a vertical
floating circular cylinder due to surge motion in calm water of
finite depth. This is done by deriving the velocity potential for
the cylinder by considering two regions, namely, interior region
and exterior region. The velocity potentials for these two regions
are obtained by the method of separation of variables. The
continuity of the solutions has been maintained at the imaginary
interface of these regions by matching the functions and gradients
of each solution. The complex matrix equation is numerically
solved to determine the unknown coefficients. Some
computational results are presented for different depth-to-radius
and draft-to-radius ratios.