Dynamic analysis of carbon nanotube reinforced composite plates by using Bézier extraction based isogeometric finite element combined with higher-order shear deformation theory

This article presents a numerical investigation on the free vibration characteristics of rotating pretwisted sandwich conical shell panels with two functionally graded carbon nanotube-reinforced composite (FG-CNTRC) face sheets and a homogeneous core in uniform thermal environments. The carbon nanotubes are considered to be aligned with the span length and distributed either uniformly or functionally graded along the thickness of the sandwich conical shell panel. The material properties of FG-CNTRC face sheets and homogenous core are assumed to be temperature-dependent and computed employing micromechanics models. The shallow conical shell is modeled using finite element method within a framework of the higher-order shear deformation theory. Lagrange’s equation of motion is employed to derive the dynamic equilibrium equations of sandwich conical shell panels rotating at moderate rotational speeds wherein Coriolis effect is neglected. Computer codes are developed on the basis of present mathematical formulation to determine the natural frequencies of the sandwich conical panels. Convergence and comparison studies are performed to examine the consistency and accurateness of the present formulation. The numerical results are presented to analyze the effects of various parameters on the natural frequencies of the pretwisted FG-CNTRC sandwich conical shell panels under different thermal conditions.

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Active vibration control of CNT-reinforced composite plates with piezoelectric layers based on Reddy’s higher-order shear deformation theory

Composite Structures ◽

10.1016/j.compstruct.2016.11.011 ◽

2017 ◽

Vol 163 ◽

pp. 350-364 ◽

Cited By ~ 30

Author(s):

B.A. Selim ◽

L.W. Zhang ◽

K.M. Liew

Keyword(s):

Vibration Control ◽

Shear Deformation ◽

Deformation Theory ◽

Active Vibration Control ◽

Shear Deformation Theory ◽

Composite Plates ◽

Higher Order ◽

Reinforced Composite ◽

Piezoelectric Layers ◽

Active Vibration

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Mechanical buckling analyses of sandwich annular plates with functionally graded carbon nanotube-reinforced composite face sheets resting on elastic foundation based on the higher-order shear deformation plate theory

Journal of Sandwich Structures & Materials ◽

10.1177/1099636218789617 ◽

2018 ◽

Vol 22 (6) ◽

pp. 1812-1837 ◽

Cited By ~ 5

Author(s):

J Torabi ◽

R Ansari ◽

E Hasrati

Keyword(s):

Carbon Nanotube ◽

Shear Deformation ◽

Elastic Foundation ◽

Deformation Theory ◽

Shear Deformation Theory ◽

Higher Order ◽

Functionally Graded ◽

Annular Plates ◽

Reinforced Composite ◽

Composite Face

The main objective of this article is to analyze the buckling of sandwich annular plates with carbon nanotube-reinforced face sheets subjected to in-plane mechanical loading resting on the elastic foundation. It is assumed that the sandwich plate is composed of the homogeneous core layer and two functionally graded carbon nanotube-reinforced composite face sheets. The effective material properties of the functionally graded carbon nanotube-reinforced composite face sheets are estimated using the modified rule of mixture method. The higher-order shear deformation theory along with the variational differential quadrature method is employed to derive the governing equations. To this end, the quadratic form of energy functional of the structure is derived based on higher-order shear deformation theory which is directly discretized using numerical differential and integral operators. The validity of the proposed numerical approach is first shown and the effects of various parameters are then investigated on the buckling of sandwich annular plates. It was found that the elastic foundation coefficients, type of distribution of carbon nanotubes, inner-to-outer radius ratio and core-to-face sheet thickness ratio play important roles in the stability of the structure. Furthermore, the numerical results of the higher- and first-order shear deformation theories are compared.

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