Green's Function for Forcing of a Thin Floating Plate

Colin Fox and Hyuck Chung


The Green's function for harmonic downward forcing of an infinite thin floating plate is derived. The Green's function models the response of a uniform sheet of fast ice when locally loaded at rates at which the ice may be taken to be elastic. A closed-form expression is given for the potential throughout the water and detailed expressions are given for the vertical displacement of the ice sheet. The displacement is graphed for various typical thickness of the ice sheet and for a range of frequencies of forcing.


Math Review Classification

Last Updated
23 March 1999

34 pages

This article is available in: