A review of theories for the modeling and analysis of functionally graded plates and shells

HT Thai, SE Kim - Composite Structures, 2015 - Elsevier
In this paper, a comprehensive review of various theories for the modeling and analysis of
functionally graded plates and shells is presented. The review is devoted to theoretical …

The Rayleigh–Ritz method for linear dynamic, static and buckling behavior of beams, shells and plates: A literature review

Y Kumar - Journal of Vibration and Control, 2018 - journals.sagepub.com
The Rayleigh–Ritz method is a classical method that has been widely used to investigate
dynamic, static and buckling behavior, ie, the natural frequencies, mode shapes, moments …

Vibration characteristics of porous FGM plate with variable thickness resting on Pasternak's foundation

V Kumar, SJ Singh, VH Saran, SP Harsha - European Journal of Mechanics …, 2021 - Elsevier
In the paper, free vibration analysis of tapered Functionally Graded Material (FGM) plate with
the inclusion of porosity has been performed. The tapered porous FGM plate is considered …

The effect of parameters of visco-Pasternak foundation on the bending and vibration properties of a thick FG plate

L Boulefrakh, H Hebali, A Chikh… - Geomechanics and …, 2019 - koreascience.kr
In this research, a simple quasi 3D hyperbolic shear deformation model is employed for
bending and dynamic behavior of functionally graded (FG) plates resting on visco-Pasternak …

Accurate solution for free vibration analysis of functionally graded thick rectangular plates resting on elastic foundation

AH Baferani, AR Saidi, H Ehteshami - Composite Structures, 2011 - Elsevier
Vibration analysis of a functionally graded rectangular plate resting on two parameter elastic
foundation is presented here. The displacement filed based on the third order shear …

Three-dimensional exact solution for the free vibration of arbitrarily thick functionally graded rectangular plates with general boundary conditions

G Jin, Z Su, S Shi, T Ye, S Gao - Composite Structures, 2014 - Elsevier
A new three-dimensional exact solution for the free vibrations of arbitrarily thick functionally
graded rectangular plates with general boundary conditions is presented. The three …

[HTML][HTML] A refined shear deformation theory for free vibration of functionally graded plates on elastic foundation

HT Thai, DH Choi - Composites Part B: Engineering, 2012 - Elsevier
A refined shear deformation theory for free vibration of functionally graded plates on elastic
foundation is developed. The displacement field is chosen based on assumptions that the in …

[PDF][PDF] A novel quasi-3D hyperbolic shear deformation theory for functionally graded thick rectangular plates on elastic foundation

A Benahmed, MSA Houari, S Benyoucef… - Geomech …, 2017 - researchgate.net
In this work, an efficient and simple quasi-3D hyperbolic shear deformation theory is
developed for bending and vibration analyses of functionally graded (FG) plates resting on …

Free vibration of cracked FGM plates with variable thickness resting on elastic foundations

PP Minh, DT Manh, ND Duc - Thin-Walled Structures, 2021 - Elsevier
In this paper, Shi's high-order shear deformation theory (HSDT) is introduced to compute the
free vibration of the cracked functionally graded material (FGM) plates according to the …

Vibration response analysis of tapered porous FGM plate resting on elastic foundation

V Kumar, SJ Singh, VH Saran… - International Journal of …, 2023 - World Scientific
This paper attempts to demonstrate the vibration response of porous Functionally Graded
Material (FGM) plate with variable thickness. For the first time, the porous tapered FGM plate …