Abstract
The eccentric impact of a floating ice feature interacting with a rigid wide structure has been studied using both numerical and analytical methods. The motion of an impacting body is assumed to be planar. It may be described by a dynamic system of three ordinary differential equations containing a non-linear reaction force in the right-hand side. The reaction force during the impact is governed by ice failure which has been characterized by a pressure-area curve. Current contact area is given as a non-linear function of the ice feature position using an approximation of the local shape of the impacting body in the vicinity of a contact point with either an elliptical cylinder or a three-axial ellipsoid. The resulting system of non-linear differential equations allows an approximate analytical solution for the maximum impact force and impact duration. The solution includes two consecutive steps. First, the maximum impact load is derived for the scenario when rotation of the impacting body about the vertical axis is not permitted. An energy balance equation is used at the first step. Subsequently, a decreasing factor resulting from rotation of the ice feature in the course of impact is evaluated using direct integration of the equation for the penetration depth. This analytical solution for non-linear ice failure load was compared with the solution for the earlier linear model of impact derived by the author (Matskevitch, 1997). The comparison has shown that inclusion of non-linearity of the reaction force leads to a decrease in the effect of impact eccentricity on the maximum ice load.
Published Version
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