Free vibration of functionally graded SWNT reinforced aluminum alloy beam

Selmi, Abdellatif; Bisharat, Awni Farid

doi:10.21595/jve.2018.19445

Cited by 3 publications

(5 citation statements)

References 24 publications

(21 reference statements)

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“…Here, k is the power-law index, and E a and ρ a represent the elastic modulus and density of pure Al-alloy material, respectively. It can be observed (according to Table 2) that the present results agree well with the ANSYS results [19]. The dimensionless fundamental frequencies (ω b = ωL/ √ I 0 /A 0 ) of simply supported CNTRC beams were calculated with different volume fractions of CNTs for L/h = 15 and V CNT = 0.12 compared with those of Wattanasakulpong and Ungbhakorn [27], corresponding to the first-order shear deformation theory.…”

Section: Patterns Of Cntssupporting

confidence: 82%

“…In order to validate the present formulations and analyses, some comparative results are listed in Tables 2 and 3. Firstly, a comparison of non-dimensional fundamental frequencies (λ = L 2 h / ρ a /E a ) of simply supported functionally graded CNT/Aluminum (Al)-alloy composite beams with ANSYS results [19] is presented in Table 2. Here, k is the power-law index, and E a and ρ a represent the elastic modulus and density of pure Al-alloy material, respectively.…”

Section: Patterns Of Cntsmentioning

confidence: 99%

“…Free vibration analysis of functionally graded single-walled CNTs reinforced aluminum alloy beam was performed by Selmi and Bisharat [19]. They obtained the natural frequencies by both the Rayleigh-Ritz method and ANSYS, a software package that implements the finite element method.…”

Section: Introductionmentioning

confidence: 99%

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Forced Vibration Analysis of Composite Beams Reinforced by Carbon Nanotubes

et al. 2021

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This paper presents forced vibration analysis of a simply supported beam made of carbon nanotube-reinforced composite material subjected to a harmonic point load at the midpoint of beam. The composite beam is made of a polymeric matrix and reinforced the single-walled carbon nanotubes with their various distributions. In the beam kinematics, the first-order shear deformation beam theory was used. The governing equations of problem were derived by using the Lagrange procedure. In the solution of the problem, the Ritz method was used, and algebraic polynomials were employed with the trivial functions for the Ritz method. In the solution of the forced vibration problem, the Newmark average acceleration method was applied in the time history. In the numerical examples, the effects of carbon nanotube volume fraction, aspect ratio, and dynamic parameters on the forced vibration response of carbon nanotube-reinforced composite beams are investigated. In addition, some comparison studies were performed, with special results of published papers to validate the using formulations.

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Section: Patterns Of Cntssupporting

confidence: 82%

Section: Patterns Of Cntsmentioning

confidence: 99%

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Forced Vibration Analysis of Composite Beams Reinforced by Carbon Nanotubes

et al. 2021

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“…In the past decades, extensive researches about dynamic behavior of SWNT and SWNT composite structures have been carried out [6][7][8][9][10]. Wang and Varadan (2006) [11] studied the influence of scaleeffect on natural frequencies of SWNT.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Behavior of Single Walled Carbon Nanotube Reinforced Aluminium Alloy Beam

Selmi

2021

JNanoR

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This paper aims to analyze the nonlinear vibration of clamped-clamped buckled beams made of Aluminium alloy (Al-alloy) reinforced with uniformly dispersed Single Walled Carbon Nanotube (SWNT). The mean field homogenization technique is used to predict the effective material properties of the beams. The equation of motion governing the nonlinear behavior is solved using an exact method. The effects of various parameters including axial load, vibration amplitude, SWNT volume fraction, SWNT aspect ratio and beam slenderness ratio on the nonlinear frequency and on the phase trajectory plots for pre- and post-buckling states are studied.

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“…Nowadays, the electrical, chemical and mechanical characteristics of the nanostructures, including the nanotubes, nanorods and nanoplates have been received a great attention in nanosciences and nanotechnology because of their superior properties such as the electrical, chemical and mechanical characteristics [1][2][3][4][5][6][7][8][9][10][11][12][13][14], and to their wide applications in micro/nano electro-mechanical systems (MEMS/NEMS) and nano actuators [15,16]. Subsequently, a lot of studies have been performed for both theoretical and experimental works to analyze the static, vibration, mechanical and thermal buckling of nanostructures due to the increased relevance of this compement.…”

Section: Introductionmentioning

confidence: 99%

A Novel Refined Plate Theory for Free Vibration Analyses of Single-Layered Graphene Sheets Lying on Winkler-Pasternak Elastic Foundations

Boukhatem

Bessaim

Kaci

et al. 2019

JNanoR

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In this article, the analyses of free vibration of nanoplates, such as single-layered graphene sheets (SLGS), lying on an elastic medium is evaluated and analyzed via a novel refined plate theory mathematical model including small-scale effects. The noteworthy feature of theory is that the displacement field is modelled with only four unknowns, which is even less than the other shear deformation theories. The present one has a new displacement field which introduces undetermined integral variables, the shear stress free condition on the top and bottom surfaces of the plate is respected and consequently, it is unnecessary to use shear correction factors. The theory involves four unknown variables, as against five in case of other higher order theories and first-order shear deformation theory. By using Hamilton’s principle, the nonlocal governing equations are obtained and they are solved via Navier solution method. The influences played by transversal shear deformation, plate aspect ratio, side-to-thickness ratio, nonlocal parameter, and elastic foundation parameters are all examined. From this work, it can be observed that the small-scale effects and elastic foundation parameters are significant for the natural frequency.

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Free vibration of functionally graded SWNT reinforced aluminum alloy beam

Cited by 3 publications

References 24 publications

Forced Vibration Analysis of Composite Beams Reinforced by Carbon Nanotubes

Forced Vibration Analysis of Composite Beams Reinforced by Carbon Nanotubes

Nonlinear Behavior of Single Walled Carbon Nanotube Reinforced Aluminium Alloy Beam

A Novel Refined Plate Theory for Free Vibration Analyses of Single-Layered Graphene Sheets Lying on Winkler-Pasternak Elastic Foundations

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