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 [math]\displaystyle{ L\, }[/math] (which can be choosen freely) and time with respect to [math]\displaystyle{ \sqrt{L/g}\, }[/math] and the non-dimensional parameters are where [math]\displaystyle{ \alpha = \omega^2\, }[/math][math]\displaystyle{ \beta = D/(\rho g L^4)\, }[/math] and [math]\displaystyle{ \gamma = \rho_i h/(\rho L)\, }[/math].