Wave diraction by a periodically constrained elastic plate oating on water

In this contribution we consider how exural-gravity waves propagating on a thin elastic plate in contact with an ideal uid of constant nite depth interact with points which are constrained to move via an impedance condition. The problem is designed to model a large oating oshore platform which is either supported rigidly by a number of xed columns to the sea bed, or tethered by extensibl