Vibrations and stability of compressed rectangular plates on an elastic base

The influence of a uniformly compressed floating elastic plate on the development of three-dimensional waves in a homogeneous fluid

“…Plane waves under conditions of longitudinal compression were considered in [S, 4]. We study the influence of uniform compression [5] on the development of t]aree-dimensional waves under the assumption that the motion of the fluid is potential and the velocities of the particles of fluid and the bending deflection of the plate 5 are small.…”