A review of continuum mechanics models for size-dependent analysis of beams and plates

HT Thai, TP Vo, TK Nguyen, SE Kim - Composite Structures, 2017 - Elsevier
This paper presents a comprehensive review on the development of higher-order continuum
models for capturing size effects in small-scale structures. The review mainly focus on the …

A review of available theories and methodologies for the analysis of nano isotropic, nano functionally graded, and CNT reinforced nanocomposite structures

A Garg, HD Chalak, AM Zenkour, MO Belarbi… - … Methods in Engineering, 2021 - Springer
Nanocomposites are making way for potential application in various fields of engineering.
The present article reviews the work carried out on vibration, static and buckling analysis of …

Nonlinear free and forced vibrations of porous functionally graded pipes conveying fluid and resting on nonlinear elastic foundation

B Zhu, Q Xu, M Li, Y Li - Composite Structures, 2020 - Elsevier
This paper studies the nonlinear free and forced vibrations of fluid-conveying pipes that are
made of porous functionally graded materials and supported on nonlinear elastic …

On size-dependent nonlinear vibration of porous and imperfect functionally graded tapered microbeams

N Shafiei, A Mousavi, M Ghadiri - International Journal of Engineering …, 2016 - Elsevier
In current study, for the first time, the size dependent nonlinear vibration behavior of
imperfect uniform and non-uniform functionally graded (FG) microbeams is investigated …

[HTML][HTML] A nonlocal finite element model for buckling and vibration of functionally graded nanobeams

AI Aria, MI Friswell - Composites Part B: Engineering, 2019 - Elsevier
In this paper, a nonlocal (strain-driven) finite element model is presented to examine the free
vibration and buckling behaviour of functionally graded (FG) nanobeams on the basis of first …

Nonlocal strain gradient beam model for nonlinear vibration of prebuckled and postbuckled multilayer functionally graded GPLRC nanobeams

S Sahmani, MM Aghdam - Composite Structures, 2017 - Elsevier
In the current study, a nonlocal strain gradient beam model with third-order distribution of
shear deformation is established to explore the nonlinear vibration of axially-loaded …

Vibration of rotating functionally graded Timoshenko nano-beams with nonlinear thermal distribution

M Azimi, SS Mirjavadi, N Shafiei… - Mechanics of …, 2018 - Taylor & Francis
The vibration analysis of rotating, functionally graded Timoshenko nano-beams under an in-
plane nonlinear thermal loading is studied for the first time. The formulation is based on …

Nonlinear vibration of axially functionally graded non-uniform nanobeams

N Shafiei, M Kazemi, M Safi, M Ghadiri - International Journal of …, 2016 - Elsevier
In this paper, the nonlinear vibration analysis of axially functionally graded (AFG) non-
uniform nanobeams is performed based on Eringen's nonlocal theory and Euler–Bernoulli …

Linear and nonlinear free vibration analysis of functionally graded porous nanobeam using stress-driven nonlocal integral model

H Qing, L Wei - Communications in Nonlinear Science and Numerical …, 2022 - Elsevier
Linear and nonlinear free vibration analysis of functionally graded porous (FGP) nanobeam
with four different porous distribution patterns is performed on the basis of stress-driven two …

Nonlinear vibration behavior of a rotating nanobeam under thermal stress using Eringen's nonlocal elasticity and DQM

N Shafiei, M Kazemi, M Ghadiri - Applied Physics A, 2016 - Springer
This study is concerned with the small-scale effect on the nonlinear flapwise bending
vibration of rotating cantilever and propped cantilever nanobeams. Euler–Bernoulli beam …