Large deflection analysis of planar curved beams made of Functionally Graded Materials using Variational Iterational Method

Ugurcan Eroglu*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

36 Citations (Scopus)

Abstract

In this paper, arbitrarily large in-plane deflections of planar curved beams made of Functionally Graded Materials (FGM) are examined. Geometrically exact beam theory is revisited, but the material properties are considered as an arbitrary function of the position on the cross-section of the beam, to derive the governing differential equation system. Axial, and shear deformations are taken into account. Equations are solved by the method called Variational Iterational Method (VIM). Solution steps are given explicitly. Presented formulation is validated by solving some examples existing in the literature. It is seen that the solution method is easy, and efficient. Deflection values, and deflected shapes of half, and quarter circular cantilever beams made of FGM are given for different variations of the material. Snap-through, and bifurcation buckling of pinned-pinned circular arches made of FGM are examined. Effects of material variation on the deflections, and bifurcation buckling load are examined. New results are also given for arbitrarily large in-plane deflections of planar curved beams made of FGM.

Original languageEnglish
Pages (from-to)204-216
Number of pages13
JournalComposite Structures
Volume136
DOIs
Publication statusPublished - 1 Feb 2016

Bibliographical note

Publisher Copyright:
© 2015 Elsevier Ltd.

Keywords

  • Arch
  • Buckling
  • Functionally Graded Material
  • Geometrically exact beam theory
  • Large deflection
  • Variational Iterational Method

Fingerprint

Dive into the research topics of 'Large deflection analysis of planar curved beams made of Functionally Graded Materials using Variational Iterational Method'. Together they form a unique fingerprint.

Cite this