Computer simulation via a couple of homotopy perturbation methods and the generalized differential quadrature method for nonlinear vibration of functionally graded …

X Huang, Y Zhang, Z Moradi, N Shafiei - Engineering with Computers, 2022 - Springer
In this paper, to improve the vibrational response of microstructures, the impact of the
nonlinear modal analysis of axially functionally graded (AFG) truncated conical micro-scale …

Nonlinear free vibrations of bi-directional functionally graded micro/nano-beams including nonlocal stress and microstructural strain gradient size effects

S Sahmani, B Safaei - Thin-Walled Structures, 2019 - Elsevier
Recently, advanced materials whose properties vary within a continuous pattern have been
put to use to design and manufacture modern structures. In the current investigation, size …

Static and dynamic analysis of the postbuckling of bi-directional functionally graded material microbeams

X Chen, X Zhang, Y Lu, Y Li - International Journal of Mechanical Sciences, 2019 - Elsevier
In this paper, the static and dynamic responses of bi-directional functionally graded (BDFG)
microbeams are investigated. The material properties vary along both thickness and axial …

Nonlocal elasticity theory for lateral stability analysis of tapered thin-walled nanobeams with axially varying materials

M Soltani, F Atoufi, F Mohri, R Dimitri… - Thin-Walled Structures, 2021 - Elsevier
The lateral-torsional buckling behavior of functionally graded (FG) non-local beams with a
tapered I-section is here investigated using an innovative methodology. The material …

Dynamics of size-dependent multilayered shear deformable microbeams with axially functionally graded core and non-uniform mass supported by an intermediate …

M Sibtain, K Yee, OZS Ong, MH Ghayesh… - … Analysis with Boundary …, 2023 - Elsevier
The current study investigates the coupled dynamics of a size-dependent third-order shear
deformable multilayered microbeam with an axially functionally graded core, a non-uniform …

Vibration analysis of scale-dependent thin shallow microshells with arbitrary planform and boundary conditions

AM Dehrouyeh-Semnani, H Mostafaei - International Journal of Engineering …, 2021 - Elsevier
The current article presents a thorough investigation into the natural frequencies and mode
shapes of thin doubly curved shallow microshells by taking into account the influence of …

Multi-objective shape optimization for axially functionally graded microbeams

HM Abo-Bakr, RM Abo-Bakr, SA Mohamed… - Composite …, 2021 - Elsevier
Nonuniform microbeams made of functionally graded materials (FGMs) have been studied
extensively in literature to predict their mechanical and thermal behavior, those …

Free vibration analysis of bi-directional functionally graded single/multi-cracked beams

S Rajasekaran, HB Khaniki - International Journal of Mechanical Sciences, 2018 - Elsevier
Cracks are the major cause for failure and dynamic fracture in different mechanical systems.
For this reason, in this study, a comprehensive study on dynamic behavior of bi-directional …

Weight optimization of axially functionally graded microbeams under buckling and vibration behaviors

HM Abo-Bakr, RM Abo-Bakr, SA Mohamed… - … based design of …, 2023 - Taylor & Francis
This article presents a study of multiobjective shape optimization of nonuniform microbeams
made of functionally graded materials (FGMs). The goal is to discover the optimal shape …

On vibrations of FG nanobeams

HB Khaniki - International journal of engineering science, 2019 - Elsevier
In the current study, the vibration behavior of axially functionally graded nanobeams is
investigated in the framework of Eringen's two-phase local-nonlocal model which considers …