Nonlocal thermo-mechanical vibration analysis of functionally graded nanobeams in thermal environment

Ebrahimi, Farzad; Salari, Erfan

doi:10.1016/j.actaastro.2015.03.031

Cited by 122 publications

(30 citation statements)

References 39 publications

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“…Nonlocal nonlinear free vibration of functionally graded nanobeams has been investigated by Nazemnezhad et al [48]. Nonlocal thermo-mechanical vibration analysis of functionally graded nanobeams in thermal environment has been studied by Ebrahimi and Salari [49]. Free vibration of functionally graded macro beams have been studied by Aydogdu and Taskin [50].…”

Section: Introductionmentioning

confidence: 98%

Wave propagation analysis of embedded (coupled) functionally graded nanotubes conveying fluid

Filiz

Aydoğdu

2015

Composite Structures

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Section: Introductionmentioning

confidence: 98%

Wave propagation analysis of embedded (coupled) functionally graded nanotubes conveying fluid

Filiz

Aydoğdu

2015

Composite Structures

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“…Unlike the classical elasticity theory, nonlocal elasticity theory of Eringin [18][19][20] is a scale dependent theory accounts the nonlocal effects on resonance frequencies of simply supported beams at nanometric dimensions [21][22][23][24]. Nowadays, researchers have applied nonlocal elasticity theory for different materials [25][26][27][28][29][30] to predict linear and nonlinear [1,31] resonance frequency for uniform and nonuniform [32][33][34][35] nanostructures.…”

Section: Introductionmentioning

confidence: 99%

Analytical modeling for the determination of nonlocal resonance frequencies of perforated nanobeams subjected to temperature-induced loads

Bourouina

Yahiaoui

Sahar

et al. 2016

Physica E: Low-dimensional Systems and Nanostructures

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“…Ebrahimi et al [31][32][33] also studied vibration characteristics of FGM beams with porosities. Based on nonlocal elasticity theory, the nonlocal temperature-dependent vibration of FGM nanobeams were studied in thermal environment [34][35][36].…”

Section: Introductionmentioning

confidence: 99%

Free Vibration of Axially Functionally Graded Beam

Cao¹,

Wang²,

Hu³

et al. 2020

Mechanics of Functionally Graded Materials and Structures

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Axially functionally graded (AFG) beam is a special kind of nonhomogeneous functionally gradient material structure, whose material properties vary continuously along the axial direction of the beam by a given distribution form. There are several numerical methods that have been used to analyze the vibration characteristics of AFG beams, but it is difficult to obtain precise solutions for AFG beams because of the variable coefficients of the governing equation. In this topic, the free vibration of AFG beam using analytical method based on the perturbation theory and Meijer G-Function are studied, respectively. First, a detailed review of the existing literatures is summarized. Then, based on the governing equation of the AFG Euler-Bernoulli beam, the detailed analytic equations are derived on basis of the perturbation theory and Meijer G-function, where the nature frequencies are demonstrated. Subsequently, the numerical results are calculated and compared, meanwhile, the analytical results are also confirmed by finite element method and the published references. The results show that the proposed two analytical methods are simple and efficient and can be used to conveniently analyze free vibration of AFG beam.

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Nonlocal thermo-mechanical vibration analysis of functionally graded nanobeams in thermal environment

Cited by 122 publications

References 39 publications

Wave propagation analysis of embedded (coupled) functionally graded nanotubes conveying fluid

Wave propagation analysis of embedded (coupled) functionally graded nanotubes conveying fluid

Analytical modeling for the determination of nonlocal resonance frequencies of perforated nanobeams subjected to temperature-induced loads

Free Vibration of Axially Functionally Graded Beam

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