Three-dimensional free vibration analysis of functionally graded annular plates using the Chebyshev-Ritz method

C. Y. Dong*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

153 Citations (Scopus)

Abstract

The aim of this paper is to investigate three-dimensional free vibration of functionally graded annular plates with different boundary conditions using the Chebyshev-Ritz method, in which a set of duplicate Chebyshev polynomial series multiplied by the boundary function satisfying the boundary conditions are chosen as the trial functions of the displacement components. Two kinds of variations of material properties in the thickness direction of the plates are considered. Convergence of the Chebyshev-Ritz method is checked. Numerical results are given and compared with the previously published solutions.

Original languageEnglish
Pages (from-to)1518-1525
Number of pages8
JournalMaterials and Design
Volume29
Issue number8
DOIs
Publication statusPublished - 2008

Keywords

  • Chebyshev-Ritz method
  • Free vibration
  • Functionally graded annular plates

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