This paper investigates the nonlinear dynamic behavior of a nonlocal functionally graded Euler–Bernoulli beam resting on fractional visco-Pasternak foundation and subjected to harmonic loads. The proposed model captures both, parameter considering elastic stress gradient field material length scale strain field. Additionally, von Karman strain–displacement relation is used describe geometrical ...

In this work, a finite element model to perform the thermal–structural analysis of beams made functionally graded material (FGM) is presented. The formulation based on third-order shear deformation theory. constituents FGM are considered vary only in thickness direction, and effective properties evaluated by means rule mixtures. volume distribution top constituent modeled using power law form. ...

This paper presents a stochastic finite element method to calculate the variation of eigenvalues and eigenvectors functionally graded beams. The modulus material is assumed have spatial uncertainty as one-dimensional random field. formulation for beam due randomness elastic given using first-order perturbation approach. approach was validated with Monte Carlo simulation in previous studies spec...

Functionally Graded Rapid Prototyping (FGRP) is a novel design approach and technological framework enabling the controlled spatial variation of material properties through continuous gradients in functional components. Such variations are traditionally achieved as discrete delineations in physical behavior by fabricating multiple parts comprised of different materials, and assembling them only...

Abstract Vibration analysis of functionally graded (FG) microbeams carrying a moving mass is carried out in the framework Timoshenko beam theory. The material properties are considered to be thickness by power-law function, and they estimated Mori-Tanaka scheme. influence microsize effect captured with aid modified couple stress theory (MCST). A finite element formulated used establish discreti...

A generalized thermo-elastic diffusion problem in a functionally graded isotropic, unbounded, rotating elastic medium due to a periodically varying heat source in the context of fractional order theory is considered in our present work. The governing equations of the theory for a functionally graded material with GNIII model are established. Analytical solution of the problem is derived in Lapl...

The present work reports the static behaviour of functionally graded rotating beam based on Timoshenko theory, which includes effect shear deformation. principle virtual displacement is applied to derive a governing equation for (FG) beam, considering centrifugal stiffening effect. B-spline collocation technique employed solve differential and material properties are function power law distribu...