Eringen's nonlocal theory for non-linear bending analysis of BGF Timoshenko nanobeams

MG Azandariani, M Gholami… - Advances in nano research, 2022 - koreascience.kr
In this paper, the non-linear static analysis of Timoshenko nanobeams consisting of bi-
directional functionally graded material (BFGM) with immovable ends is investigated. The …

Static and buckling analysis of functionally graded Timoshenko nanobeams

MA Eltaher, A Khairy, AM Sadoun, FA Omar - Applied Mathematics and …, 2014 - Elsevier
Investigation of static and buckling behaviors of nonlocal functionally graded (FG)
Timoshenko nanobeam is the main objective of this paper. Eringen nonlocal differential …

Applying Eringen's nonlocal elasticity theory for analyzing the nonlinear free vibration of bidirectional functionally graded Euler–Bernoulli nanobeams

M Gholami, E Zare, A Alibazi - Archive of Applied Mechanics, 2021 - Springer
The present study develops a size-dependent Euler–Bernoulli beam model to analyze the
nonlinear free vibration of a bidirectional functionally graded (BFG) nanobeam with …

Vibration of nonlinear graduation of nano-Timoshenko beam considering the neutral axis position

MA Eltaher, AA Abdelrahman, A Al-Nabawy… - Applied mathematics …, 2014 - Elsevier
This paper presents a methodology to investigate the free vibration of nonlinear material
graduations of a nanobeam based on the nonlocal Timoshenko theory using finite element …

Proposing a dynamic stiffness method for the free vibration of bi-directional functionally-graded Timoshenko nanobeams

M Gholami, MG Azandariani, AN Ahmed… - Advances in Nano …, 2023 - techno-press.org
This paper studies the free vibration behavior of bi-dimensional functionally graded (BFG)
nanobeams subjected to arbitrary boundary conditions. According to Eringen's nonlocal …

Nonlinear stress-driven nonlocal formulation of Timoshenko beams made of FGMs

M Roghani, H Rouhi - Continuum Mechanics and Thermodynamics, 2021 - Springer
Motivated by the paradoxical results obtained from the differential nonlocal elasticity theory
in some cases (eg, bending and vibration problems of cantilevers), several attempts have …

[HTML][HTML] Functionally graded Timoshenko nanobeams: a novel nonlocal gradient formulation

R Barretta, L Feo, R Luciano, FM de Sciarra… - Composites Part B …, 2016 - Elsevier
A first gradient nonlocal model of bending for Timoshenko functionally graded nanobeams
based on the Eringen model is proposed. The material properties vary in the thickness …

Application of Eringen's nonlocal elasticity theory for vibration analysis of rotating functionally graded nanobeams

F Ebrahimi, N Shafiei - Smart structures and systems, 2016 - dbpia.co.kr
In the present study, for first time the size dependent vibration behavior of a rotating
functionally graded (FG) Timoshenko nanobeam based on Eringen's nonlocal theory is …

Analysis and modeling the size effect on vibration of functionally graded nanobeams based on nonlocal Timoshenko beam theory

O Rahmani, O Pedram - International Journal of Engineering Science, 2014 - Elsevier
In this study Timoshenko beam theory that applies the size dependent effects in functionally
graded material (FGM) beam is discussed. The material properties of FG nanobeams are …

[PDF][PDF] Bending and vibration analysis of curved FG nanobeams via nonlocal Timoshenko model

SAH Hosseini, O Rahmani - Smart Construct Res, 2018 - pdfs.semanticscholar.org
The bending and vibration behavior of a curved FG nanobeam using the nonlocal
Timoshenko beam theory is analyzed in this paper. It is assumed that the material properties …