Free vibration analysis of circular, annular and annular sectoral plates

Abstract

In this study, free vibration analysis of circular, annular and annular sectoral thick plates is carried out by mixed finite element method based on the Gâteaux differential. In free vibration analysis, the problem reduces to the solution of a standard eigenvalue problem and the mixed element is based upon a consistent mass matrix formulation. Bending and tprsional moments, transverse shear forces, rotations and displacements are the basic unknowns of the functional. Two different sectoral elements are used with 3x8 degrees of freedom (SEC24) and 4x8 degrees of freedom (SEC32). The accuracy of the SEC24 and SEC32 elements together is verified by applying the method to some problems taken from the literature.