On the interaction of surface waves with a semi-infinite elastic plate

摘要

A new orthogonal inner product is developed based on the Fourier analysis and then utilised to study the scattering of surface waves by a floating semi-infinite elastic plate in a two-dimensional water domain of finite depth. The problem is studied for various wave and geometrical conditions. Especially, the influence of different edge conditions on the hydrodynamic behaviour is investigated and compared. The present solution method seems to be the most elegant one to solve this class of problems in the available literature.