TY - JOUR

T1 - Large deflection analysis of planar curved beams made of Functionally Graded Materials using Variational Iterational Method

AU - Eroglu, Ugurcan

N1 - Publisher Copyright:
© 2015 Elsevier Ltd.

PY - 2016/2/1

Y1 - 2016/2/1

N2 - 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.

AB - 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.

KW - Arch

KW - Buckling

KW - Functionally Graded Material

KW - Geometrically exact beam theory

KW - Large deflection

KW - Variational Iterational Method

UR - http://www.scopus.com/inward/record.url?scp=84945151736&partnerID=8YFLogxK

U2 - 10.1016/j.compstruct.2015.10.017

DO - 10.1016/j.compstruct.2015.10.017

M3 - Article

AN - SCOPUS:84945151736

SN - 0263-8223

VL - 136

SP - 204

EP - 216

JO - Composite Structures

JF - Composite Structures

ER -