The interaction of both surface and internal water waves with floating/submerged platforms was studied by considering the nonlinear properties of the fluid motion and the flexibility of the oscillating plates. First a set of nonlinear governing equations for the interaction between a multi-layer fluid system and floating/submerged elastic thin plates was obtained. In each fluid layer, the Lagrangian was integrated vertically by taking the nonlinear boundary conditions on the interfaces into account. Then the variational principle was applied to yield a set of time-dependent, horizontally two-dimensional, fully nonlinear equations. Secondly, using this model, several numerical computations were carried out for the surface/internal long waves and the oscillations of horizontally very large platforms. The resonated pressure beneath the plate floating on the sea surface in the two-layer system was compared with that in the one-layer case. The surface/internal waves generated by the trembling of the floating/submerged elastic plates were also simulated.
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