scholarly journals Large Deflection Analysis of Functionally Graded Beams Resting on a Two-Parameter Elastic Foundation

2014 ◽  
Vol 13 (3) ◽  
pp. 649-656 ◽  
Author(s):  
Buntara Sthenly Gan ◽  
Nguyen Dinh Kien
Keyword(s):  
Elastic Foundation ◽  
Large Deflection ◽  
Functionally Graded ◽  
Deflection Analysis ◽  
Two Parameter

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.

Accurate solution for functionally graded beams with arbitrarily varying thicknesses resting on a two-parameter elastic foundation

2020 ◽  
Vol 55 (7-8) ◽  
pp. 222-236 ◽  
Author(s):  
Zhiyuan Li ◽  
Yepeng Xu ◽  
Dan Huang
Keyword(s):  
Elastic Foundation ◽  
Accurate Solution ◽  
Functionally Graded ◽  
Fourier Series Expansion ◽  
Two Dimensional ◽  
Stress Distributions ◽  
Varying Thickness ◽  
Pasternak Elastic Foundation ◽  
First Time ◽  
Two Parameter

This work presents analytical solutions for bending deformation and stress distributions in functionally graded beams with arbitrarily and continuously variable thicknesses and resting on a two-parameter Pasternak elastic foundation. Based on two-dimensional elasticity theory directly, the general solutions of displacements and stresses which completely satisfy the differential equations governing the equilibrium for arbitrarily varying thickness functionally graded beams are derived for the first time. The undetermined coefficients in the general solution are obtained using Fourier series expansion along the upper and lower surfaces. The accuracy and efficiency of the proposed method are verified through several typical examples. The effects of mechanical and geometry parameters on the stress and displacement distributions of varying thickness functionally graded beams resting on a two-parameter Pasternak elastic foundation are discussed further.

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