Free Vibrations and Buckling of Laterlally Functionally Graded Material Columns

Gweon Sik Kim, Joon Kyu Lee, Dai Soon Ahn, Byoung Koo Lee

Research output: Contribution to journalArticlepeer-review

Abstract

The paper aims to develop a unified modeling to analyze the free vibrations and buckling of laterally functionally graded material columns. The columns of rectangular cross-section, in which the mass density and Young’s modulus vary along the depth as a power-law function, were considered. The differential equation governing a mode shape of a deformed column was derived with the relevant boundary conditions, including the effect of rotatory inertia. The computation results for the natural frequencies and buckling load were compared well with those available in the open scientific literature. The effects of geometrical and material properties on natural frequencies and buckling loads with the mode shapes are highlighted.

Original languageEnglish
Pages (from-to)807-824
Number of pages18
JournalMechanics of Composite Materials
Volume59
Issue number4
DOIs
StatePublished - Sep 2023

Keywords

  • buckling
  • column
  • flexural rigidity
  • free vibrations
  • laterally functionally graded material
  • mass-moment of inertia of area

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