Recent developments of some asymptotic methods and their applications for nonlinear vibration equations in engineering problems: A review

M Bayat, I Pakar, G Domairry - Latin American Journal of Solids and …, 2012 - SciELO Brasil
This review features a survey of some recent developments in asymptotic techniques and
new developments, which are valid not only for weakly nonlinear equations, but also for …

A robust Bézier based solution for nonlinear vibration and post-buckling of random checkerboard graphene nano-platelets reinforced composite beams

H Kabir, MM Aghdam - Composite Structures, 2019 - Elsevier
In the present study, an accurate Bézier based multi-step method is developed and
implemented to find the nonlinear vibration and post-buckling configurations of Euler …

Vibrational analysis of pipes based on the drift-flux two-phase flow model

A Ebrahimi-Mamaghani, N Mostoufi… - Ocean …, 2022 - Elsevier
Linear and nonlinear free vibrations of supported pipes containing two-phase flow were
modeled in different flow regimes by including gravitational force, structural and two-phase …

A couple-stress-based moving Kriging meshfree shell model for axial postbuckling analysis of random checkerboard composite cylindrical microshells

Z Yang, B Safaei, S Sahmani, Y Zhang - Thin-Walled Structures, 2022 - Elsevier
The current investigation intends to devise a couple stress continuum-based moving Kriging
meshfree shell model for axial nonlinear buckling and postbuckling responses of random …

Nonlinear free vibration and post-buckling analysis of functionally graded beams on nonlinear elastic foundation

A Fallah, MM Aghdam - European Journal of Mechanics-A/Solids, 2011 - Elsevier
In this study, simple analytical expressions are presented for large amplitude free vibration
and post-buckling analysis of functionally graded beams rest on nonlinear elastic foundation …

[HTML][HTML] Large amplitude free vibration of nanobeams with various boundary conditions based on the nonlocal elasticity theory

M Şimşek - Composites Part B: Engineering, 2014 - Elsevier
In this paper, a non-classical beam model based on the Eringen's nonlocal elasticity theory
is proposed for nonlinear vibration of nanobeams with axially immovable ends. This non …

Nonlinear analysis of shear deformable FGM beams resting on elastic foundations in thermal environments

HS Shen, ZX Wang - International Journal of Mechanical Sciences, 2014 - Elsevier
This paper deals with the large amplitude vibration, nonlinear bending and thermal
postbuckling of functionally graded material (FGM) beams resting on an elastic foundation in …

Combined axial and lateral stability behavior of random checkerboard reinforced cylindrical microshells via a couple stress-based moving Kriging meshfree model

H Liu, B Safaei, S Sahmani - Archives of Civil and Mechanical …, 2022 - Springer
In this investigation, a size-dependent numerical solution methodology is devised to analyze
nonlinear buckling and postbuckling of cylindrical microsized shells made of checkerboard …

Probabilistic-based nonlinear stability analysis of randomly reinforced microshells under combined axial-lateral load using meshfree strain gradient formulations

J Zhao, J Wang, S Sahmani, B Safaei - Engineering Structures, 2022 - Elsevier
In the present exploration, an effective numerical strategy is developed to examine for the
first time different microstructural-dependent features in the nonlinear stability behavior of …

Microstructural-dependent nonlinear stability analysis of random checkerboard reinforced composite micropanels via moving Kriging meshfree approach

S Sahmani, B Safaei - The European Physical Journal Plus, 2021 - Springer
In the present study, through matching the moving Kriging meshfree formulations with the
third-order shear flexible shell model together with the modified strain gradient continuum …