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

Authors

  • Mohammad Zannon Dr. Mohammad Salim Zannon Department of Mathematics Faculty of Science, Tafila Technical University (TTU) Al-Iess, Tafila, Jordan P.O.Box:179 / Zip code 66110 , Jordan E-mail: [email protected] Tel. 00962790783636
  • Abdullah Abu-Rqayiq Texas A&M University-Corpus Christi
  • Ammar Al-bdour

DOI:

https://doi.org/10.29020/nybg.ejpam.v13i4.3826

Keywords:

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

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.

Author Biography

  • Abdullah Abu-Rqayiq, Texas A&M University-Corpus Christi
    Department of Mathematics & Statistics

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Published

2020-10-31

Issue

Vol. 13 No. 4: (October 2020)

Section

Nonlinear Analysis

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How to Cite

Free Vibration Frequency of Thick FGM Spherical Shells Based on a Third-order Shear Deformation Theory. (2020). European Journal of Pure and Applied Mathematics, 13(4), 766-778. https://doi.org/10.29020/nybg.ejpam.v13i4.3826