Unsteady behavior of an elastic beam floating on shallow water under external loading

A solution is derived for the two-dimensional unsteady problem of the behavior of an elastic beam of finite dimensions floating on the free surface of water under external loading. It is assumed that the fluid is ideal and incompressible and its depth is well below the beam length. The simultaneous motion of the beam and the fluid is considered within the framework of linear theory, and the fluid flow is assumed to be potential. The behavior of the beam under various loadings with and without allowance for the inertia of the load is studied.