Free vibration analysis of composite laminated and sandwich plate with circular cutout

Abstract

This paper presents the free vibration analysis of a composite laminated and sandwich square plate with circular cutout. The problem formulation is based on the higher order shear deformation plate theory HDST C0 coupled with a curved quadrilateral p-element. The elements of the stiffness and mass matrices are calculated analytically. The curved edges are accurately represented using the blending function method. A calculation program is developed to determine the fundamental frequencies for different physical and mechanical parameters such as the cutout size and location, plate thickness, fiber orientation angle and boundary conditions. The results obtained show a good agreement with the available solutions in the literature. New results for the fundamentals frequencies of composite laminated and sandwich plates with circular cutout are presented.