Interaction Theory for a Floating Elastic Sheet of Finite Length with Gravity Waves in Water of Finite Depth (Including a Comparison with Experimental Data)

摘要

A theory is developed for the dynamic interaction of a floating elastic plate with incident gravity waves. The theory is two-dimensional and assumes finite dimensions for the plate and a finite depth for the water. The depth of submersion of the plate, however, is neglected. This investigation extends the work of previous investigations by considering the two-dimensional, finite depth aspect of the fluid flow. The theory is adapted to a numerical means of analysis and a computer program is developed to calculate the response parameters of the elastic sheet for given input parameters. Numerical results are obtained for a particular plate and water depth for four different input waves. These conditions were chosen to be the same as those for which model tests were performed under a different study. The experimental results and the theory are then compared and shown to be in reasonable agreement. (Author)