Application of the finite-element method to the vibration of a rectangular plate with elastic support at the boundary

In this paper, we consider the vibration of a thin rectangular plate supported by identical beams at two opposing sides. This plate-beam system is rigidly supported at the remaining sides. nite-element method is used to calculate the natural frequencies for the plate-beam system and to solve the associated equilibrium problem. For the plate, we used reduced quintics and Herrnite piecewise quintics for the beams.