This paper presents a nonlinear vibration analysis of functionally graded graphene platelet (GPL) reinforced plates on elastic foundations. Uniformly or non-uniformly distributed internal pores were present in the plates. Based modified Halpin-Tsai micromechanics model and extended rule mixture, material properties evaluated. The governing equations, coupled with effect foundations, derived by ...

Functionally graded materials (FGMs) are composed of metals and ceramics in which the distribution material components varies according to a particular volumetric function. FGMs often used high-temperature applications. In our study, models were created Artificial Neural Network depending on equivalent stress levels compositional gradient exponent, is most important parameter determining thermo...

In this paper, the first-order shear deformation theory is used to derive theoretical formulations illustrating the nonlinear dynamic response of functionally graded porous plates under thermal and mechanical loadings supported by Pasternak’s model of the elastic foundation. Two types of porosity including evenly distributed porosities (Porosity-I) and unevenly distributed porosities (Porosity-...

This paper deals with the determination of displacement function and thermal stresses of a finite length isotropic functionally graded hollow cylinder subjected to uniform temperature field. The solution of the governing thermoelastic equation is obtained, as suggested by Spencer et al. for anisotropic laminates.  Numerical calculations are also carried out for FGM (Functionally graded material...

An approximate solution for the static analysis of three-dimensional, anisotropic, elastic plates composed of functionally graded materials (FGM) is presented. The solution is obtained by using a discrete layer theory in combination with the Ritz method in which the plate is divided into an arbitrary number of homogeneous and/or FGM layers. Two types of functionally graded materials are conside...

In this paper, the buckling and vibration behaviour of functionally graded flexoelectric nanobeam is examined. The vibration and buckling formulations of functionally graded nanobeam are developed by using a new theory that’s presented exclusively for flexoelecteric nano-materials. So by considering Von-Karman strain and forming enthalpy equation based on displacement, polarization and electric...

The classical shell theory, first-order shear deformation theory, and third-order shear deformation theory are employed to study the natural frequencies of functionally graded cylindrical shells. The governing equations of motion describing the vibration behavior of functionally graded cylindrical shells are derived by Hamilton’s principle. Resulting equations are solved using the Navier-type s...

Perforated discs have many applications in different parts of industry. By making such disks of functionally graded materials, more capabilities can be obtained from them. Vibration analysis of these kinds of disks can help us make them more efficient. In this paper, modeling and evaluation of disk vibration of functionally graded materials with regard to thickness were carried out using Abaqus...

This manuscript develops for the first time a mathematical formulation of dynamical behavior bi-directional functionally graded porous plates (BDFGPP) resting on Winkler–Pasternak foundation using unified higher-order plate theories (UHOPT). The kinematic displacement fields are exploited to fulfill null shear strain/stress at bottom and top surfaces without needing factor correction. gradation...