Dynamic plastic response of beams resting on fluid

Abstract

This paper considers the two-dimensional problem of a wide rigid ideally-plastic simply-supported beam resting on a semi-infinite pool of potential fluid. It is demonstrated that the problem reduces to determination of the apparent (added, virtual) mass of fluid reflecting inertial characteristics of the fluid resisting deformation. Using the theory of dual integral equations an especially simple closed form solution for the apparent mass is derived enabling solution of this practically significant problem.