PLANAR FORCING OF FLOATING ICE SHEETS

The objective of this study is to investigate the plane dynamic respon se of a floating plate supported by a fluid. The fluid underneath the plate is modeled using two-dimensional incompressible potential flow t heory. The fundamental solutions are obtained first. Once the solution for the plate displacement is obtained, the other physical quantities of interest-the temporal and spatial distributions of the slope, mome nt, shear and even the buoyant force, the inertial force of the fluid and the inertial force of the plate-can be evaluated numerically. Adva ntageously, using superposition and the fundamental solutions presente d in this paper, the solution for various loading cases can be readily obtained. As an application, the dynamic behavior of a forced sub-sur face uplift problem is studied. Comparisons are then made with an adde d mass model. The results reveal that the true hydrodynamic model incr eases the mass and damping of the plate significantly.