Bending analysis of functionally graded annular sector plates by extended Kantorovich method

2012 ◽  
Vol 43 (5) ◽  
pp. 2172-2179 ◽  
Author(s):  
A. Fereidoon ◽  
A. Mohyeddin ◽  
M. Sheikhi ◽  
H. Rahmani
Keyword(s):  
Functionally Graded ◽  
Kantorovich Method ◽  
Bending Analysis ◽  
Extended Kantorovich Method ◽  
Annular Sector

Bending deflection and stress analyses in a thin functionally graded material skew plate with different boundary conditions on the Winkler–Pasternak elastic foundation and under combined in-plane and uniform lateral loads using the extended Kantorovich method

2021 ◽  
pp. 095440622199068
Author(s):  
Ahmad Mamandi
Keyword(s):  
Differential Equation ◽  
Partial Differential Equation ◽  
Boundary Conditions ◽  
Functionally Graded ◽  
Kantorovich Method ◽  
Different Boundary Conditions ◽  
Extended Kantorovich Method ◽  
Skew Plate ◽  
Pasternak Elastic Foundation ◽  
Graded Material

In this study, bending deflection and stress analyses have been conducted for a thin skew plate made of functionally graded material (FGM) with different boundary conditions on the Winkler–Pasternak elastic foundation and under combined loads including uniform transverse load, normal and shear in-plane forces, and planar body forces. The Cartesian partial differential equation governing the bending deflection of the skew plate has been converted into a partial differential equation in oblique coordinates using the conversion relations. Then, by employing the variational principle and residual weighted Galerkin method and using the Extended Kantorovich Method (EKM), the equation has been converted to a set of linear differential equations in terms of two functions in the longitudinal and transverse directions of the oblique plate, and afterward, the equation has been solved using the iterative solution method. Different boundary conditions in a combined form of simply and clamped supports have been investigated and their effects on bending deflection and generated in-plane normal and shear stresses are discussed.

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