Eigenvibrations of a flexible platform floating on shallow water

The spectral problem for a flexible platform (airport) floating on shallow water is examined. The platform is modeded by a flexible plate of finite width and infinite length. A waveguide eigenmode is detected which propagates along the platform and attenuates exponentially away from it. The remaining eigenmodes are outgoing and growing exponentially away from the platform. All the eigenmodes can be excited only by external action on the platform. The behavior of the platform under external loading is examined.