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...

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...

The aim of this paper is to study the electro-mechanical coupling responses functionally graded (FG) piezoelectric cantilever nanobeam under concentrated load, and material properties follow an exponential distribution in thickness direction. constitutive equations are derived from electric Gibbs free energy density function. governing boundary conditions Euler–Bernoulli FG beam can be obtained...

Abstract In this work, the state -space nonlocal strain gradient theory is used for vibration analysis of magneto thermo piezoelectric functionally graded material (FGM) nanobeam. An FGM constituent properties stated by using power law relations. The refined higher order beam and Hamilton’s principle have been to obtain motion equations. Besides, governing equations nanobeam are extracted devel...

Static performance of functionally graded cantilever nanobeams exposed to lateral and axial loads from the end was examined by applying Pseudospectral Chebyshev Method. A solution is given for bending analysis using Euler-Bernoulli beam theory. The nonlocal elasticity theory first introduced Eringen used represent effect on a small scale. Using aforementioned theory, governing differential equa...

The present investigation examines the range of effect nonlocal parameters on dynamic behavior a smart beam-like nanostructure modeled as sandwich functionally graded porous nanobeam with piezoelectric layers. Therefore, study is concentrated determining length structure for which effects are observed vibration under in-plane electro-mechanical forces. nanobeam-based NEMS device model obtained ...

Abstract Hyperbolic nonlocal theory is applied in this paper to calculate deflections functionally graded nanobeams under uniform load. The developed using the work done principle conjunction with Eringen’s theory. Free stress conditions on upper and lower surfaces are achieved by current hypothesis. Deflection of beam estimated Navier’s approach considering simple ends nanobeam. Solutions foun...

In this research, analysis of nonlocal magneto-electro-thermo-elastic of a functionally graded nanobeamdue to magneto-electro-elastic loads has been done. In order to formulate the problem the Timoshenko theory of beams is utilized. The principle of virtual work, Hamilton’s principle as well as nonlocal magneto-electro-thermo-elastic relations has been recruited to derive the governing eq...

This study addresses the nonlinear forced vibration of a functionally graded (FG) nanobeam subjected to mechanical impact and electromagnetic actuation. Two symmetrical actuators were present in model, their behaviors analyzed considering symmetry The model considered longitudinal–transverse simple supported Euler–Bernoulli beam, which accounted for von Kármán geometric nonlinearity, including ...