Large amplitude free flexural vibration analysis of shear deformable FGM plates using nonlinear finite element method

Free vibration of functionally graded sandwich plates in thermal environment using a layerwise theory

“…Moreover, applying boundary conditions is a difficult task in analytical methods, hence methods like finite element method (FEM) became more popular among the researchers for studying the effect of different boundary conditions. Talha and Singh (2011) examined free vibration behavior of shear deformable functionally graded plates using a C 0 finite element formulation with 13 degrees of freedom per node in non-thermal environment.…”

Stochastic vibration characteristics of finite element modelled functionally gradient plates

“…Due to continuous variation in material properties in a preferred direction the first and higher order shear deformation theory may be conveniently used in the analysis. Recently, several theories have been proposed by the researchers to study the vibration, bending and dynamic response of graded material plates notable among them are, [12,18,21,22,[30][31][32][33][34][35][36][37][38][39][40]42].…”

“…However, no previous work have been reported to accomplish the thermo-mechanical free vibration characteristics of functionally graded material plates with uncertain material properties based on modified structural kinematics [20,21], which assures the cubically varying in-plane displacements over the entire thickness and quadratically varying transverse displacement, to take the effects of normal strain and its derivative in calculation of transverse shear strains. The material properties of the FGM plates are graded continuously in the thickness direction only according to a simple power-law distribution in terms of the volume fractions of the constituent.…”

Free vibration responses of temperature dependent functionally graded curved panels under thermal environment

“…Hosseini-Hashemi et al (2010) solved the moderately thick FG plate resting on elastic foundations for vibration analysis using the FSDT kinematics with a modified shear correction factor analytically. Talha and Singh (2011) employed the HSDT mid-plane kinematics and Green-Lagrange nonlinear strains to investigate the nonlinear vibration behaviour of FG plate. Rahimia et al (2011) studied the vibration responses of cylindrical FG shell panel with intermediate ring supports using Sanders' thin shell theory.…”