Abstract:
In the present paper, the problem involving the transformation of incident wave energy by floating
elastic structure situated at a finite distance from an arbitrary bottom topography is studied. Here, both symmetric and asymmetric bottom profiles, which are arbitrary in nature, are considered . The successive steps
are used to approximate the uneven bottom profile. The method of step approximation along with matched
eigenfunction expansion is employed by which a system of linear algebraic equations is obtained and solved
to determine the hydrodynamic quantities, namely transmission and reflection coefficients, plate deflection,
strain and shear force on the plate. The present results are validated with the known results of literature for the
case of rigid floating structure over the uniform finite depth as a particular case. The energy identity is obtained
through Green integral theorem and is checked in towards the accuracy of present results. The effect of various
structural and system parameters such as elastic plate length, angle of incidence, depth ratios, distance between
the bottom topography and elastic plate on transmission and reflection coefficients, shear force and strain, plate
deflection is investigated through different graphs and tables. This problem will give useful information to
create the desirable tranquility zone near the seashore.
