Hydroelastic responses of floating elastic surfaces to incident non-linear waves of solitary and cnoidal type are studied. There are N number of the deformable surfaces and these are represented by thin elastic plates of variable properties and different size and rigidity. The coupled motion of the elastic surfaces and the fluid are solved simultaneously within the framework of linear beam theory for the structures and the nonlinear Level I Green-Naghdi(GN) theory for the fluid. The water surface elevation, deformations of the elastic surfaces, velocity and pressure fields, wave reflection and transmission coefficients are calculated and presented. Results of the model are compared with existing laboratory measurements and other numerical solutions. In the absence of any restriction on the nonlinearity of the wave field, number of surfaces, their sizes and rigidities, a wide range of wave-structure conditions are considered. It is found that wave reflection from an elastic surface changes significantly with the rigidity, and highest reflection is observed when the plate is rigid (not elastic). It is also found that due to the wave-structure interaction, local wave fields with different length and celerity are formed under the plates. In the case of multiple floating surfaces, it is observed that the spacing between plates has more significant effect on the wave field than their lengths. Also, presence of relatively smaller floating plates upwave modifies remarkably the deformation and response of the downwave floating surface.
- Deformable ice sheets
- Green–Naghdi equations
- Nonlinear wave–structure interaction
- Wave reflection and transmission