Open AccessFree Vibration Frequency of Thick FGM Spherical Shells Based on a Third-order Shear Deformation Theory
Author(s) -
Mohammad Zan,
Abdullah Abu-Rqayiq,
Ammar Al-bdour
Publication year - 2020
Publication title -
european journal of pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.245
H-Index - 5
ISSN - 1307-5543
DOI - 10.29020/nybg.ejpam.v13i4.3826
Subject(s) - vibration , spherical shell , mathematics , deformation (meteorology) , shear (geology) , shell theory , shell (structure) , deformation theory , geometry , mathematical analysis , materials science , physics , acoustics , composite material
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.