A hydroplastic analysis of a free-free beam floating on water subjected to an underwater bubble

Dynamic plastic response of a free-free beam floating on water subjected to an underwater explosion bubble is studied in this paper. A detailed fluid-structure analysis is presented to find the fluid force acting on the beam. Assuming the beam is made from rigid, perfectly plastic material, we obtain the hydroplastic equations governing the dynamic plastic deflection of such a beam. The equations can be easily solved using the Runge-Kutta method. Examples are given to discuss the features of the dynamic plastic response. It is observed that longer beams sustain larger plastic deformations than shorter beams, but shorter beams undergo larger rigid-body motion than longer beams.