Vibration Control of a Functionally Graded Carbon Nano-Tube Reinforced Composite Beam Resting on Elastic Foundation

Nonlinear buckling and postbuckling analysis of functionally graded graphene-reinforced composite (FG-GRC) laminated toroidal shell segments subjected to external pressure surrounded by elastic foundations and exposed to thermal environment are presented in this article. Governing equations for toroidal shell segments are based on the Donnell shell theory taking into account geometrical nonlinearity term in von Kármán sense with shell–foundation interaction modeled by Pasternak’s elastic foundation. Three-term solution form of deflection and stress function are chosen, and Galerkin method is applied to obtain the nonlinear load–deflection relation. Numerical investigations show the effects of graphene volume fraction, graphene distribution types, geometrical properties, elastic foundation, and thermal environments on the linear and nonlinear buckling and postbuckling behaviors of FG-GRC laminated toroidal shell segments.

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A numerical study to investigate the active vibration attenuation of functionally graded carbon nano-tube reinforced composite shell

Materials Today Proceedings ◽

10.1016/j.matpr.2020.11.707 ◽

2021 ◽

Author(s):

Chander Kant Susheel ◽

Anshul Sharma

Keyword(s):

Composite Shell ◽

Numerical Study ◽

Functionally Graded ◽

Reinforced Composite ◽

Vibration Attenuation ◽

Active Vibration ◽

Carbon Nano Tube

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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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