Bending analysis of FG-GPLRC axisymmetric circular/annular sector plates by considering elastic foundation and horizontal friction force using 3D-poroelasticity theory

2021 ◽  
pp. 114438
Author(s):  
Jiaofei Huo ◽  
Guangpeng Zhang ◽  
Aria Ghabussi ◽  
Mostafa Habibi
Keyword(s):  
Elastic Foundation ◽  
Friction Force ◽  
Bending Analysis ◽  
Annular Sector ◽  
Poroelasticity Theory

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

2010 ◽  
Vol 225 (2) ◽  
pp. 312-325 ◽  
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.

scholarly journals Free Vibration and Static Bending Analysis of Piezoelectric Functionally Graded Material Plates Resting on One Area of Two-Parameter Elastic Foundation

2020 ◽  
Vol 2020 ◽  
pp. 1-18
Author(s):  
Hong Nguyen Thi
Keyword(s):  
Free Vibration ◽  
Elastic Foundation ◽  
Functionally Graded Material ◽  
Functionally Graded ◽  
Engineering Practice ◽  
Parameter Study ◽  
Bending Analysis ◽  
Wide Range ◽  
Graded Material ◽  
Two Parameter

Free vibration and static bending analysis of piezoelectric functionally graded material plates resting on one area of the two-parameter elastic foundation is firstly investigated in this paper. The third-order shear deformation theory of Reddy and 8-node plate elements are employed to derive the finite element formulations of the structures; this theory does not need any shear correction factors; however, the mechanical response of the structure is described exactly. Verification problems are performed to evaluate the accuracy of the proposed theory and mathematical model. A wide range of parameter study is investigated to figure out the effect of geometrical, physical, and material properties such as the plate dimension, volume fraction index, piezoelectric effect, elastic foundation coefficients, and the square size of the area of the foundation on the free vibration and static bending of piezoelectric functionally graded material plates. These numerical results of this work aim to contribute to scientific knowledge of these smart structures in engineering practice.

Differential quadrature analysis of functionally graded circular and annular sector plates on elastic foundation

2010 ◽  
Vol 31 (4) ◽  
pp. 1871-1880 ◽  
Author(s):  
Sh. Hosseini-Hashemi ◽  
H. Akhavan ◽  
H. Rokni Damavandi Taher ◽  
N. Daemi ◽  
A. Alibeigloo
Keyword(s):  
Elastic Foundation ◽  
Functionally Graded ◽  
Differential Quadrature ◽  
Annular Sector ◽  
Plates On Elastic Foundation
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