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Article
The computational modeling for the static analysis of axially functionally graded micro-cylindrical imperfect beam applying the computer simulation
In this paper, the bending and buckling analysis of microbeam with the uniform and non-uniform cylindrical cross-section was examined based on the classical beam theory and the modified couple stress theory to...
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Article
Computer simulation via a couple of homotopy perturbation methods and the generalized differential quadrature method for nonlinear vibration of functionally graded non-uniform micro-tube
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 tube including the thermal l...
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Article
Nonlinear vibration and buckling of functionally graded porous nanoscaled beams
Although many researchers have studied the vibration and buckling behavior of porous materials, the behavior of porous nanobeams is still a needed issue to be studied. This paper is focused on the buckling and...
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Article
On size-dependent thermal buckling and free vibration of circular FG Microplates in thermal environments
In this article, transverse vibration and thermal buckling of a size-dependent functionally graded (FG) circular microplate has been investigated based on modified couple stress and classical plate theory for ...
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Article
Influence of size effect on flapwise vibration behavior of rotary microbeam and its analysis through spectral meshless radial point interpolation
In this paper, by utilizing the modified couple stress theory, influence of size effect on flapwise vibration behavior of rotary microbeam is analyzed based on Bernoulli–Euler beam model. It should be mentione...
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Article
On size-dependent free vibration and thermal buckling of axially functionally graded nanobeams in thermal environment
This article aims to study the buckling and free vibrational behavior of axially functionally graded (AFG) nanobeam under thermal effect for the first time. The temperature is considered to be constant and var...
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Article
Influence of surface effects on vibration behavior of a rotary functionally graded nanobeam based on Eringen’s nonlocal elasticity
This article presents a free vibration analysis of size-dependent functionally graded rotating nanobeams with all surface effects considerations on the basis of the nonlocal continuum model. By using constitut...
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Article
Erratum to: Thermo-mechanical vibration of rotating axially functionally graded nonlocal Timoshenko beam
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Article
Thermo-mechanical vibration of rotating axially functionally graded nonlocal Timoshenko beam
The free vibration analysis of rotating axially functionally graded nanobeams under an in-plane nonlinear thermal loading is provided for the first time in this paper. The formulations are based on Timoshenko ...
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Article
Nonlinear bending vibration of a rotating nanobeam based on nonlocal Eringen’s theory using differential quadrature method
This study investigates the small scale effect on the nonlinear bending vibration of a rotating cantilever and propped cantilever nanobeam. The nanobeam is modeled as an Euler–Bernoulli beam theory with von Ká...
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Article
Vibration analysis of a rotating functionally graded tapered microbeam based on the modified couple stress theory by DQEM
Due to having difficulty in solving governing nonlinear differential equations of a non-uniform microbeam, a few numbers of authors have studied such fields. In the present study, for the first time, the size-...
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Article
Nonlinear vibration behavior of a rotating nanobeam under thermal stress using Eringen’s nonlocal elasticity and DQM
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 theory is used to model the nanobea...
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Article
Influence of thermal and surface effects on vibration behavior of nonlocal rotating Timoshenko nanobeam
This paper is proposed to study the free vibration of a rotating Timoshenko nanobeam based on the nonlocal theory considering thermal and surface elasticity effects. The governing equations and the related bou...
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Article
Investigation of the dental implant geometry effect on stress distribution at dental implant–bone interface
In this paper, the effect of the geometry of the implant on the stress distribution at the dental implant–bone interface is investigated. For this purpose, three-dimensional finite element model of jaw bone an...