Trapped modes in the water-wave problem for a freely-floating structure

2005-09-22T16:51:57Z (GMT) by Philip McIver Maureen McIver
Trapped 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.