Hydroelastic vibration of a rectangular perforated plate with a simply supported boundary condition

A theoretical study on the natural frequencies and the mode shapes of a perforated plate in contact with an ideal liquid is presented. In the theory, it is assumed that the plate is simply supported along the edges and the liquid is in contact with the lower surface of the plate. The identical square holes in the plate with a square array are considered. A compatibility requirement on the contact surface between the plate and the liquid is applied for the liquid-structure interaction and the Rayleigh-Ritz method is used to calculate the eigenvalues of the system. The proposed theoretical method for the plate coupled with the liquid is verified by observing a good agreement with the three-dimensional finite element analysis result.