NUMERICAL FORCE INVERSION IN FLOATING PLATE DYNAMICS

摘要

There are many situations where floating ice is subject to forced dynamic uplift, Examples are furnished by ice sheet interaction with sloping bridge piers, offshore platforms and surfacing submarines. This type of uplift is kinematically forced to occur in a prescribed manner. In these situations, the uplift displacement, velocity, etc., is known and the quantity of interest is the forcing that caused the uplift. A mathematical model of this type of uplift sees the force derivative as the solution of a Volterra integral equation of the first kind and of convolution type. Determining the forcing is a deconvolution problem. Because of specific and not so common properties of the convolution kernel, the analytical investigation needs to be complemented by various numerical investigations. This work is a summary of such an effort.