Vibration analysis of mindlin's sandwich plate (FSDT) under random excitation

In this paper, vibration analysis of a sandwich plate modeled within the First Order Shear Deformable Theory (FSDT) under random excitation is presented. It was considered that the sandwich plate is thick, and the CPT (Classic Plate Theory) is no longer applicable, therefore, one of the shear deformable plate theories, the FSDT, is adapted for the structural formulations. The sandwich plate is assumed to be simply supported with movable edges. One of the faces of the sandwich plate is exposed to Gaussian stationary random loads with zero mean. Both uniformly distributed and point random loads are considered. Thermal effect is also taken into account. Root Mean Squares (RMS) of deflection responses are computed and compared by using both the CPT and the FSDT. Spectral density of the responses is also presented. A parametric study is conducted to show the effects of scattering in the geometry of the sandwich plate (both face and core), characteristics of loading and temperature change on the sandwich deflection response.