A comprehensive study on the free vibration of arbitrary shaped thick functionally graded CNT-reinforced composite plates

Ansari, R.; Torabi, Jalal; Hassani, R.

doi:10.1016/j.engstruct.2018.12.049

Cited by 67 publications

(15 citation statements)

References 42 publications

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“…Jiao and his coworkers [18] analyzed the buckling of thin rectangular FG-CNTRC plate subjected to compression loads by means of the differential quadrature technique (DQM) with the work equivalent technique. Ansari et al [19] perused the free vibration of diverse forms of FG-CNTRC plates using HSDT with the aid of the generalized differential quadrature method (GDQM). The modified FSDT was implemented by Mellouli [20] to conduct free vibration of FG-CNTRC shell by means of a method named mesh free radial point interpolation.…”

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confidence: 99%

WITHDRAWN: Large deflection analysis of nanocomposite cylindrical shell subjected to internal pressure

Rahimi¹,

Golmakani²,

Sadeghian³

2020

Preprint

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In this work, large deflection behavior of a functionally graded carbon nanotube reinforced composite (FG-CNTRC) cylindrical shell under internal pressure is studied. The composite cylindrical shell reinforced along the longitudinal direction and made from a polymeric matrix. Based on first-order shear deformation shell theory (FSDT) and von Kármán geometrical nonlinearity, the set of governing equations are derived. Using the dynamic relaxation (DR) technique, these systems of equations are solved for various boundary conditions and the roles of volume fraction of CNTs, CNTs distributions and geometrical ratios are examined on the responses.

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confidence: 99%

WITHDRAWN: Large deflection analysis of nanocomposite cylindrical shell subjected to internal pressure

Rahimi¹,

Golmakani²,

Sadeghian³

2020

Preprint

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“…They studied effect of boundary conditions, volume fraction and distribution of CNTs on the deflection, stress distribution and natural frequencies of the plate and effect of translational inertia of the concentrated mass on the natural frequencies of the plate. Using GDQM, Ansari et al [30] studied free vibration analysis of arbitrary-shaped thick FG-CNTRC plates. They modeled plate based on an HSDT and reported natural frequencies for FG-CNTRC skew, quadrilateral, triangular, circular, sector and elliptical plates.…”

Section: Introductionmentioning

confidence: 99%

Vibration analysis of cantilever FG-CNTRC trapezoidal plates

Majidi

Azadi

Fahham

2020

J Braz. Soc. Mech. Sci. Eng.

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In this paper, a numerical solution is presented for free vibration analysis of cantilever functionally graded carbon nanotubereinforced trapezoidal plates. The plate is modeled based on the first-order shear deformation theory, effective mechanical properties are estimated according to extended rule of mixture, and the set of governing equations and boundary conditions are derived using Hamilton's principle. Generalized differential quadrature method is employed, and natural frequencies and corresponding mode shapes are derived numerically. Convergence and accuracy of the solution are confirmed, and effect of various parameters on the natural frequencies is investigated including geometrical characteristics, volume fraction and distribution of carbon nanotubes. Because of similarity of the studied model with the wing, tail and fin of aircrafts and missiles, results of this paper can be useful in design and analysis of aeronautic vehicles in the near future. It is worth mentioning that results of this paper may serve as benchmarks for future studies.

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“…Phung-Van et al (2017) used isogeometric analysis and generalized higher order shear deformation theory (HSDT) to study the influence of size dependency of FG-CNTRC nanoplates. Based on HSDT, Ansari et al (2019) examined the free vibration analysis of arbitrary shaped thick FG-CNTRC plates using a variational differential quadrature approach.…”

Section: Introductionmentioning

confidence: 99%

Buckling and vibration analysis of FG-CNT-reinforced composite rectangular thick nanoplates resting on Kerr foundation based on nonlocal strain gradient theory

Shahraki

Riahi

Izadinia

et al. 2019

Journal of Vibration and Control

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This paper investigates the buckling and free vibration analysis of functionally graded carbon nanotube-reinforced composite thick rectangular nanoplates resting on a Kerr foundation under different boundary conditions. Quasi-three-dimensional hyperbolic shear deformation theory is employed to study the effects of transverse shear deformation and thickness stretching. To capture the small-size effects of nanoscale dimensions, the nonlocal strain gradient theory is used, which includes nonlocal parameters and length scale of the material. In this study, rectangular nanocomposite plates are reinforced by carbon nanotubes which are assumed to be graded through the thickness direction with four types of distributions, namely, uniformly, FG-O, FG-V, and FG-X. The governing equations and boundary conditions are extracted within Hamilton’s principle. They are discretized and numerically solved by utilizing a generalized differential quadrature method. The critical buckling loads and natural frequencies are determined by solving the eigenvalue problem. The accuracy of present results is validated with those available in the literature. Also, the effect of various factors, such as aspect ratio, length-to-thickness ratio, in-plane loading factor, length scale parameter, nonlocal parameter, volume fraction and dispersion profile of carbon nanotubes, elastic foundation coefficients, and different boundary conditions, on the buckling behavior and free vibration of nanoplates is investigated.

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A comprehensive study on the free vibration of arbitrary shaped thick functionally graded CNT-reinforced composite plates

Cited by 67 publications

References 42 publications

WITHDRAWN: Large deflection analysis of nanocomposite cylindrical shell subjected to internal pressure

WITHDRAWN: Large deflection analysis of nanocomposite cylindrical shell subjected to internal pressure

Vibration analysis of cantilever FG-CNTRC trapezoidal plates

Buckling and vibration analysis of FG-CNT-reinforced composite rectangular thick nanoplates resting on Kerr foundation based on nonlocal strain gradient theory

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