Free Vibration Frequency of Thick FGM Spherical Shells Based on a Third-order Shear Deformation Theory

Mohammad Zannon, Abdullah Abu-Rqayiq, Ammar Al-bdour

Abstract

In this paper, we consider free vibration problems of functionally graded thick spherical shells. The analysis performs by collecting the radial basis functions, according to the Third Order Shear Deformation Theory that accounts for through the thickness deformation using the principle of virtual work. Numerical results include spherical shell panels with all edges clamped or simply supported to demonstrate the accuracy of the present approach.

Keywords

Spherical shells, free vibration, functionally graded materials, radial basis functions.

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