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

Published online by Cambridge University Press:  04 July 2006

P. McIVER  and
M. McIVER
P. McIVER
Affiliation:
Department of Mathematical Sciences, Loughborough University, Loughborough, LE11 3TU, UK
M. McIVER
Affiliation:
Department of Mathematical Sciences, Loughborough University, Loughborough, LE11 3TU, UK
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Abstract

Trapped modes in the linearized water-wave problem are free oscillations of an unbounded fluid with a free surface that have finite energy; it has 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.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 558 , 10 July 2006 , pp. 53 - 67
Copyright
© 2006 Cambridge University Press

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