In this work, the vibrations of viscoelastic functionally graded Euler–Bernoulli nanostructure beams are investigated using the fractional-order calculus. It is assumed that the functionally graded nanobeam (FGN) is due to a periodic heat flux. FGN can be considered as nonhomogenous composite structures; with continuous structural changes along the thick- ness of the nanobeam usually, it change...

In this article, nonuniformity effects on free vibration analysis of functionally graded beams is discussed. variation in material properties is modeled after Powerlaw and exponential models and the non-uniformity is assumed to be exponentially varying in the width along the beams with constant thickness. Analytical solution is achieved for free vibration with simply supported conditions. It is...

This paper deals with the dynamic response of Functionally Graded Material (FGM) plates resting on a viscoelastic foundation under loads. The governing equations are derived by using Hamilton’s principle classical plate theory and higher-order shear deformation theory. Using state-space methods to find closed-form solution functionally graded rectangular foundation. Numerical examples given for...

In this paper the authors derive a higher-order shear deformation theory for modelling functionally graded plates accounting for extensibility in the thickness direction. The explicit governing equations and boundary conditions are obtained using the principle of virtual displacements under Carrera’s Unified Formulation and then interpolated by collocation with radial basis functions. The effic...

In the present research, dynamic responses of multilayer functionally graded graphene platelets reinforced composite (FG-GPLRC) spherical panels under blast loading are studied. Three-dimensional elasticity theory is employed to derive governing equations. The distribution (GPLs) in each layer uniform and random with a constant weight fraction. GPLs concentration across panel thickness may be o...

The free transverse vibrations of two-dimensional functionally graded double Euler–Bernoulli beam system connected through a variable Winkler elastic layer are presented. Modulus elasticity and the density material beams assumed to vary along thickness length according power-law exponential functions, respectively. governing differential equations motion established by means Hamilton’s principl...

Functionally graded aluminium/zirconia metal matrix composite was fabricated using stir casting technique followed by horizontal centrifugal casting process and a hollow cylindrical functionally graded composite (150 x 150 x 16 mm) was obtained with centrifuging speed of 1200 rpm. The microstructural evaluation and hardness test was carried out on the outer and inner surface of the functionally...

The effects of flexoelectricity on thermo-electro-mechanical behavior of a functionally graded electro-piezo-flexoelectric nano-plate are investigated in this paper using flexoelectric modified and the Kirchhoff classic theories. Moreover, using the variation method and the principle of minimum potential energy for the first time, the coupled governing nonlinear differential equations of the na...

In this article, magneto-thermo-elastic stresses and perturbation of magnetic field vector are analyzed for a thick-walled cylinder made from polystyrene, reinforced with functionally graded (FG) single-walled carbon nanotubes (SWCNTs) in radial direction, while subjected to an axial and uniform magnetic field as well as a transient thermal field. Generalized plane strain state is considered in...

This paper deals with an analytical approach to predict the nonlinear buckling behavior of functionally graded graphene-reinforced composite laminated cylindrical shells under axial compressive load surrounded by Pasternak’s elastic foundation in a thermal environment. Piece-wise functionally graded graphene-reinforced, composite layers are sorted with different types of graphene distribution. ...