Abstract:
The effectiveness of a floating porous plate for mitigating the wave-induced structural response of a
very large floating structure is investigated using the eigenfunction expansion method. The analysis is based on the
assumption of a small-amplitude structural response of the very large floating structure and the linearized theory
of water waves with the assumption that the elastic plate is floating freely on the free surface. The elastic plate is
modeled using thin plate theory, and the wave past the porous plate is based on the assumptions of the generalized
porous wavemaker theory. The horizontal plate reflects and dissipates a major part of the wave energy, which in
turn reduces the wave-induced structural response of the structure. Wave reflection and dissipation increase in an
oscillatory manner with an increase in the wavenumber associated with the incident wave, and a complementary
trend is observed in the wave transmission, with the oscillatory trend diminishing for higher values of structural
porosity. When the distance between the porous plate and floating elastic plate is an integer multiple of half the
wavelength, a certain periodic oscillatory pattern occurs in the wave reflection, with complementary patterns being
observed in the wave transmission and dissipation. The amplitude of the periodic oscillatory pattern in the wave
reflection reduces with an increase in the length of the porous plate of moderate porosity. Moreover, the wave energy
reflection and dissipation are greater in case of short compared with long waves for a floating porous plate of larger
length. The elastic plate deflection and free surface elevation on the lee side of the floating elastic plate attenuate
with an increase in the length of the porous plate for a moderate value of the structural porosity. The reflection
coefficient and forces acting on the plate follow a similar pattern with variation of the distance between the porous
plate and large floating structure, whilst the shear force and strain acting on the floating structure are complementary
to the wave reflection and forces acting on the porous plate.
