Time-domain analysis of oblique wave scattering by a forced floating elastic plate over porous bed

This study examines the interaction of waves with a floating elastic plate subjected to a time-harmonic delta function force, taking into account oblique wave incidence over a porous seabed. The boundary value problem is addressed using the eigenfunction matching technique, while Fourier transforms are employed to study the time-dependent deflection. Numerical results are analyzed to understand the influence of three different edge conditions (built-in, free, and simply supported), as well as the properties of the wave, plate, and porous bottom. The analysis shows that for larger angles of incidence region, full reflection occurs with zero transmission. For smaller angles of incidence, however, the frequency of zero reflection and full transmission increases as the porous bottom parameter is increased. Additionally, a free-edge condition results in reduced reflection and increased transmission. The time-dependent deflection of the free surface is significantly influenced by the porous parameter and the angle of incidence, whereas the time-dependent deflection of the plate is notably affected by the Young's modulus of the plate along with the other parameters.