Abstract In this article, the nonlinear dynamic responses of sandwich functionally graded (FG) porous cylindrical shell embedded in elastic media are investigated. The studied here consists three layers, which outer and inner skins made solid metal, while core is FG metal foam. Partial differential equations derived by utilizing improved Donnell’s theory Hamilton’s principle. Afterwards, Galerk...

This paper presents a modified variational principle for the treatment of thin plate bending on an elastic foundation. The foundation may be of the Winkler or Pasternak type. A hybrid Trefftz (HT) finite-element (FE) model has been developed based on the principle and a new set of T-complete functions. The derivation of the new set of trial functions is based mainly on the resolution approach o...

in present study, thermo-elastic buckling analysis of multi-layer orthotropic annular/circular graphene sheets is investigated based on eringen’s theory. the moderately thick and also thick nano-plates are considered. using the non-local first and third order shear deformation theories, the governing equations are derived. the van der waals interaction between the layers is simulated for multi-...

Abstract. In the present work, a two-dimensional model based on higher order Layer-Wise (LW) approach is presented for static and dynamic analysis of doubly-curved anisotropic shell structures. The Equivalent Single Layer (ESL) methodology also obtained as particular case LW. Each lamina stacking sequence modelled an continuum. fundamental equations account both surface concentrated loads, well...

In this study the effect of thermal stress on the torsional buckling of double walled carbon nanotubes is investigated. Moreover based on nonlocal continuum mechanic the buckling governing equations are obtained and equilibrium of Equations is generalized to double wall nanotubes. Also in this study the elastic medium, small scale effect and van der Walls force are considered. Also for simulati...

In this work, a comprehensive vibrational behavior analysis is performed on anti-symmetric laminated composite plates resting visco-elastic foundations undergoing thermal effects. Here, the governing equations of motion are developed through Hamilton's principle and Reddy's plate theory as higher-order shear deformation (HSDT) employed to capture high accuracy. Also, generalized differential qu...

This article focuses on studying the nonlinear vibration of functionally graded (FG) curved nanobeams resting Pasternak-Winkler elastic foundation based nonlocal strain gradient theory along with first-order shear deformation beam (FSDBT) considering von-Kármán hypothesis. The Hamilton principle is applied to extract three motion equations and Galerkin method (GM) utilized spatially reduce diff...

The nonlinear bending behavior of sector graphene sheets is studied subjected to uniform transverse loads resting on a Winkler-Pasternak elastic foundation using the nonlocal elasticity theory. Considering the nonlocal differential constitutive relations of Eringen theory based on first order shear deformation theory and using the von-Karman strain field, the equilibrium partial differential eq...

in this paper, asymmetric buckling analysis of functionally graded (fg) circular plates with temperature dependent property that subjected to the uniform radial compression and thermal loading is investigated. this plate is on an elastic medium that simulated by winkler and pasternak foundation. mechanical properties of the plate are assumed to vary nonlinearly by temperature change. the equili...

In this paper, the nonlinear dynamic buckling of double-walled boron-nitride nanotube (DWBNNT) conveying viscous fluid is investigated based on Eringen's theory. BNNT is modeled as an Euler-Bernoulli beam and is subjected to combine mechanical, electrical and thermal loading. The effect of viscosity on fluid-BNNT interaction is considered based on Navier-Stokes relation. The van der Waals (vdW)...