Use of Eight-node Curvilinear Domains in Discrete Singular Convolution Method for Free Vibration Analysis of Annular Sector Plates with Simply Supported Radial Edges

Abstract

Free vibration analysis of annular sector plate is studied using an eight-node curvilinear domain. The method of discrete singular convolution (DSC) is used for computations. Radial edges of plates are simply supported; however, various edge conditions are taken into account for circumferential edge. In the proposed approach, an irregular physical domain is transformed into a rectangular domain by using geometric coordinate transformation. The DSC procedures are then applied to discretization of the transformed set of governing equations and boundary conditions. The effects of mode numbers, vertex angle, boundary conditions and outer-to-inner radius ratio on the vibration frequencies are investigated. It is seen that the results obtained by DSC method shows very good agreement with that of other available analytical and numerical solutions for the plate problems under investigation.

Keywords

Annular sector plate curvilinear domain discrete singular convolution free vibration geometric transformation.

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