Tayler 1986

A. B. Tayler, Mathematical Models in Applied Mathematics, Clarandon Press, 280 pp. 1986.

Contains a description of the Floating Elastic Plate problem for a single plate on finite length in two-dimensions on Infinitely Deep water as a model for a floating breakwater. An approximate solution is the limit of small scattering is presented. The book introduces the non-dimensionalisation in which length is scaled with respect to $L\,$ (which can be choosen freely) and time with respect to $\sqrt{L/g}\,$ and the non-dimensional parameters are where $\alpha = \omega^2\,$$\beta = D/(\rho g L^4)\,$ and $\gamma = \rho_i h/(\rho L)\,$.