Abstract
We develop the spectral theory for a floating massless thin plate on water of arbitrary depth. Using this theory we calculate the time dependent motion by a generalised Fourier expansion. The spectral theory depends on finding an inner product in which the operator which determines the time dependent motion is self-adjoint. It is shown that the time harmonic solutions for an incoming wave are the eigenfunctions of this self adjoint operator. If the plate motion is expanded in these eigenfunction the time dependent motion can be calculated straight-forwardly. Results are presented concentrating on establishing that we can repeat the calculations of Meylan (2002) where the equivalent theory for shallow water was developed.
| Original language | English |
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| Pages | 365-370 |
| Number of pages | 6 |
| Publication status | Published - 1 Dec 2002 |
| Event | Proceedings of the Twelfth (2002) International Offshore and Polar Engineering Conference - Kitakyushu, Japan Duration: 26 May 2002 → 31 May 2002 |
Conference
| Conference | Proceedings of the Twelfth (2002) International Offshore and Polar Engineering Conference |
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| Country/Territory | Japan |
| City | Kitakyushu |
| Period | 26/05/02 → 31/05/02 |
Keywords
- Hydroelastic
- Spectral theory
- Wave forcing