in this article, an analytical solution is developed to study the free vibration analysis offunctionally graded rectangular nanoplates. the governing equations of motion are derived basedon second order shear deformation theory using nonlocal elasticity theory. it is assumed that thematerial properties of nanoplate vary through the thickness according to the power lawdistribution. our numerical...

In the present study the free vibration analysis of the functionally graded rectangular nanoplates is investigated. The nonlocal elasticity theory based on the exponential shear deformation theory has been used to obtain the natural frequencies of the nanoplate. In exponential shear deformation theory an exponential functions are used in terms of thickness coordinate to include the effect of tr...

In this paper, an analysis of free vibration in functionally graded nanoplate is presented. Third-order shear deformation plate theory is used to reach more accuracy in results. Small-scale effects are investigated using Eringen`s nonlocal theory. The governing equations of motion are obtained by Hamilton`s principle. It is assumed that the properties of nanoplates vary through their thicknesse...

This paper presents the analysis of wave propagation in functionally-graded (FG) nanoplates on a Winkler–Pasternak foundation. The investigation is carried out framework nonlocal elasticity theory and new four-unknown higher-order displacement including indeterminate integral terms. Hamilton’s principle Navier’s method are used to obtain frequency relations FG for different conditions by solvin...

Abstract This study investigates the size-dependent wave propagation behaviors under thermoelectric loads of porous functionally graded piezoelectric (FGP) nanoplates deposited in a viscoelastic foundation. It is assumed that (i) material parameters obey power-law variation thickness and (ii) uniform porosity exists nanoplates. The combined effects viscoelasticity shear deformation are consider...

Abstract The bending of sandwich nanoplates made functionally graded (FG) porous core and electromagnetic layers is explored for the first time through a nonlocal strain gradient theory four-unknown shear deformation theory. proposed model can account both impacts. Therefore, stiffness enhancement reduction processes are observed. porosities in nanoplate modeled with even uneven distribution pa...

in this paper, the influence of the constituent volume fractions by changing the values of the power-law exponent with uniform pressure on the vibration frequencies of reinforced functionally graded cylindrical shells is studied. the fgm shell with ring is developed in accordance to the volume fraction law from two constituents namely stainless steel and nickel. these constituents are graded th...