Author(s): Alexander Korobkin; Tatyana Khabakhpasheva; Haixuan Ye; Kevin Maki
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Abstract: The vertical impact of a rigid body on a floating ice plate is investigated. The problem is unsteady, two-dimensional and coupled. The hydrodynamic loads and elastic ice response are determined simultaneously. The ice deflection is described by the Euler beam equation. The beam is isotropic and of constant thickness. The plate and the water are initially at rest. The impact loads are calculated as part of the solution together with the region of contact between the impacting rigid body and the thin elastic ice plate. The intervals of contact are determined by the condition that the rigid body cannot penetrate the ice surface during the impact. The contact of the smooth body with the elastic plate may occur at separate points. This is demonstrated for a static problem of a floating ice plate of infinite extent and a circular rigid cylinder of variable mass sitting on the ice plate. The impact problem is regularized by introducing an elastic layer between the impacting body and the elastic ice plate. The local reaction force in the layer is a given function of the local compression of the layer. The stresses in the ice plate and the plate deflection are studied for the plate floating between two vertical walls with sliding edge conditions. It is shown that the elastic response of the floating plate is weakly dependent on the thickness and rigidity of the elastic layer on the top of the floating plate. The impact loads and the regions of contact between the impacting body and the ice plate are computed together with the deflections and strains of the ice plate. The problem of the impact of the body and a freely floating ice plate is also studied within the potential flow theory and a numerical Navier-Stokes solver.
Year: 2020