Wave scattering by multiple floating elastic plates with spring or hinged boundary conditions

Abstract

We solve the problem of wave scattering by multiple floating elastic plates with arbitrary boundary conditions, such as spring connectors or hinges at the plate edges. We present two solution methods, the first method is based on a matched eigenfunction expansion and the second uses a Green function. The matched eigenfunction expansion method allows arbitrary parameters for a given plate and also allows regions of open water. The Green function method requires that all plate properties must be uniform except plate length and the plate must cover the entire free surface. The Green function method is much less computationally demanding than the matched eigenfunction method and provides a test of accuracy. A range of results are presented, which show that the behaviour of the plate depends strongly on the boundary conditions at the plate edges.