Static analysis of variable thickness two-directional functionally graded annular sector plates fully or partially resting on elastic foundations by the GDQ method

In this paper, buckling analysis of thick radially functionally graded circular/annular sector plates with variable thickness resting on two-parameter elastic foundations is studied. The material properties vary along radial direction according to either an exponential or a power-law distribution. The stability equations are derived using the adjacent equilibrium criterion and are based on a higher order shear deformation theory. The generalized differential quadrature method is employed to discretize the stability equations and convert them into a system of algebraic eigenvalue problem. The formulation and method of solution are validated by performing comparison studies with the available results in the open literature. Then, the effects of power-law index, boundary conditions, thickness variation and coefficients of foundation on the critical buckling load of the circular/annular sector plates subjected to different types of in-plane compressions or in-plane shear are investigated in detail.

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Geometrically non-linear bending analysis of thick two-directional functionally graded annular sector and rectangular plates with variable thickness resting on non-linear elastic foundation

Composites Part B Engineering ◽

10.1016/j.compositesb.2015.05.010 ◽

2016 ◽

Vol 86 ◽

pp. 61-83 ◽

Cited By ~ 27

Author(s):

Farhad Alinaghizadeh ◽

Mahmoud Shariati

Keyword(s):

Elastic Foundation ◽

Variable Thickness ◽

Functionally Graded ◽

Rectangular Plates ◽

Bending Analysis ◽

Linear Elastic ◽

Non Linear ◽

Annular Sector

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Large deflection analysis of moderately thick radially functionally graded annular sector plates fully and partially rested on two-parameter elastic foundations by GDQ method

Aerospace Science and Technology ◽

10.1016/j.ast.2014.09.014 ◽

2014 ◽

Vol 39 ◽

pp. 260-271 ◽

Cited By ~ 9

Author(s):

Farhad Alinaghizadeh ◽

Mehran Kadkhodayan

Keyword(s):

Large Deflection ◽

Functionally Graded ◽

Elastic Foundations ◽

Deflection Analysis ◽

Annular Sector ◽

Two Parameter

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Buckling analysis of functionally graded annular sector plates resting on elastic foundations

Proceedings of the Institution of Mechanical Engineers Part C Journal of Mechanical Engineering Science ◽

10.1243/09544062jmes2166 ◽

2010 ◽

Vol 225 (2) ◽

pp. 312-325 ◽

Cited By ~ 14

Author(s):

A Naderi ◽

A R Saidi

Keyword(s):

Boundary Conditions ◽

Elastic Foundation ◽

Buckling Analysis ◽

Functionally Graded ◽

Buckling Load ◽

Critical Buckling Load ◽

Elastic Foundations ◽

Annular Sector ◽

Sector Plate ◽

Annular Sector Plate

In this study, an analytical solution for the buckling of a functionally graded annular sector plate resting on an elastic foundation is presented. The buckling analysis of the functionally graded annular sector plate is investigated for two typical, Winkler and Pasternak, elastic foundations. The equilibrium and stability equations are derived according to the Kirchhoff's plate theory using the energy method. In order to decouple the highly coupled stability equations, two new functions are introduced. The decoupled equations are solved analytically for a plate having simply supported boundary conditions on two radial edges. Satisfying the boundary conditions on the circular edges of the plate yields an eigenvalue problem for finding the critical buckling load. Extensive results pertaining to critical buckling load are presented and the effects of boundary conditions, volume fraction, annularity, plate thickness, and elastic foundation are studied.

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Three-dimensional natural frequency analysis of anisotropic functionally graded annular sector plates resting on elastic foundations

Science and Engineering of Composite Materials ◽

10.1515/secm-2013-0346 ◽

2015 ◽

Vol 22 (6) ◽

Cited By ~ 2

Author(s):

Kamran Asemi ◽

Manouchehr Salehi ◽

Mehdi Akhlaghi

Keyword(s):

Natural Frequency ◽

Frequency Analysis ◽

Material Properties ◽

Three Dimensional ◽

Functionally Graded ◽

Mode Shapes ◽

Element Formulation ◽

Elastic Foundations ◽

Annular Sector ◽

Natural Frequency Analysis

AbstractNatural frequency analysis of anisotropic functionally graded material (FGM) annular sector plates on Winkler elastic foundations based on three-dimensional theory of elasticity was investigated. The three-dimensional graded finite element formulation was derived based on the principle of minimum potential energy and the Rayleigh-Ritz method. For an orthotropic FGM, the material properties were assumed to have in-plane polar orthotropy and transverse heterogeneity according to an exponential law, whereas the mass density was assumed to be constant. For an isotropic FGM, material properties varied continuously through the thickness direction according to a power-law distribution, whereas Poisson’s ratio was set to be constant. The effects of material gradient exponents, different sector angles, different thickness ratio, Winkler parameter and two different boundary conditions on the natural frequencies and mode shapes of FGM annular sector plates have been investigated. Numerical solution was compared with the result of an FGM annular circular plate, which showed good agreement.

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