05-37.pdf (610 kB)
Trapped modes in the water-wave problem for a freely-floating structure
preprint
posted on 2005-09-22, 16:51 authored by Philip McIver, Maureen McIverTrapped modes in the linearized water-wave problem are free oscillations of an unbounded fluid with a free surface that have finite energy: it had been known for some time that such modes are supported by certain structures when held fixed. This paper investigates the problem of a freely-floating structure that is able to move in response to the hydrodynamic forces acting upon it and it is shown that trapped modes also exist in this problem. For a freely-floating structure a trapped mode is a coupled oscillation of the fluid and the structure.
History
School
- Science
Department
- Mathematical Sciences
Pages
624639 bytesPublication date
2005Notes
This is a pre-print.Language
- en