A finite element formulation using four-unknown incorporating nonlocal theory for bending and free vibration analysis of functionally graded nanoplates resting on …

VK Tran, QH Pham, T Nguyen-Thoi - Engineering with Computers, 2022 - Springer
A finite element model using four-unknown shear deformation theory integrated with the
nonlocal theory is proposed for the bending and free vibration analysis of functionally …

Isogeometric vibration analysis of functionally graded nanoplates with the consideration of nonlocal and surface effects

A Norouzzadeh, R Ansari - Thin-Walled Structures, 2018 - Elsevier
Presented in this paper is a size-dependent analysis of the surface stress and nonlocal
influences on the free vibration characteristics of rectangular and circular nanoplates …

An exact solution for the nonlinear forced vibration of functionally graded nanobeams in thermal environment based on surface elasticity theory

R Ansari, T Pourashraf, R Gholami - Thin-Walled Structures, 2015 - Elsevier
In the present investigation, an exact solution is proposed for the nonlinear forced vibration
analysis of nanobeams made of functionally graded materials (FGMs) subjected to thermal …

Nonlinear dynamic analysis of FG micro-pipes conveying fluid based on strain gradient theory

AR Setoodeh, S Afrahim - Composite Structures, 2014 - Elsevier
In this article, an analytical solution is presented for the size dependent nonlinear vibration
behavior of micro-pipes conveying fluid made of functionally graded materials (FGMs). On …

A review of dynamic analyses of single-and multi-layered graphene sheets/nanoplates using various nonlocal continuum mechanics-based plate theories

CP Wu, HX Hu - Acta Mechanica, 2021 - Springer
This article is intended to present an overview of dynamic analyses of single-/multi-layered
graphene sheets (SLGSs/MLGSs) and nanoplates with combinations of simply supported …

Nonlocal dynamic response analysis of functionally graded porous L-shape nanoplates resting on elastic foundation using finite element formulation

TT Tran, PB Le - Engineering with Computers, 2023 - Springer
This paper proposes a finite element method (FEM) based on a nonlocal theory for the
dynamic response analysis of the functionally graded porous (FGP) L-shape nanoplate lying …

Size-dependent thermo-mechanical vibration and instability of conveying fluid functionally graded nanoshells based on Mindlin's strain gradient theory

R Ansari, R Gholami, A Norouzzadeh - Thin-Walled Structures, 2016 - Elsevier
The free vibration and instability characteristics of nanoshells made of functionally graded
materials (FGMs) with internal fluid flow in thermal environment are studied in this paper …

Dynamic stability analysis for rotating pre-twisted FG-CNTRC beams with geometric imperfections restrained by an elastic root in thermal environment

B Lin, B Chen, B Zhu, J Li, Y Li - Thin-Walled Structures, 2021 - Elsevier
This paper deals with the problems of free vibration, buckling, and dynamic stability of
rotating pre-twisted functionally graded carbon nanotube reinforced composite (FG-CNTRC) …

Influence of initial stress on the vibration of double-piezoelectric-nanoplate systems with various boundary conditions using DQM

SR Asemi, A Farajpour, HR Asemi… - Physica E: Low …, 2014 - Elsevier
In this paper, a nonlocal continuum plate model is developed for the transverse vibration of
double-piezoelectric-nanoplate systems (DPNPSs) with initial stress under an external …

A finite element formulation and nonlocal theory for the static and free vibration analysis of the sandwich functionally graded nanoplates resting on elastic foundation

VK Tran, TT Tran, MV Phung, QH Pham… - Journal of …, 2020 - Wiley Online Library
This article presents a finite element method (FEM) integrated with the nonlocal theory for
analysis of the static bending and free vibration of the sandwich functionally graded (FG) …