Numerical Solutions To the Free Vibration Problem of Mindlin Sector Plates Using the Discrete Singular Convolution Method

This paper presents the free vibration analysis of annular sector plates based on Mindlin's first_order shear deformation theory using the discrete singular convolution (DSC) method. In the solution process, the governing equations of the motions and boundary conditions of the plate are discretized by the method. The effect of some geometric parameters on frequencies is investigated. Comparisons are made with existing numerical and analytical solutions in the literature. It is found that the DSC method yields accurate results for the plate problems under investigation.