Free vibration of functionally graded carbon-nanotube-reinforced composite plates with cutout

Abstract

SummaryDuring the past five years, it has been shown that carbon nanotubes act as an exceptional reinforcement for composites. For this reason, a large number of investigations have been devoted to analysis of fundamental, structural behavior of solid structures made of carbon-nanotube-reinforced composites (CNTRC). The present research, as an extension of the available works on the vibration analysis of CNTRC structures, examines the free vibration characteristics of plates containing a cutout that are reinforced with uniform or nonuniform distribution of carbon nanotubes. The first-order shear deformation plate theory is used to estimate the kinematics of the plate. The solution method is based on the Ritz method with Chebyshev basis polynomials. Such a solution method is suitable for arbitrary in-plane and out-of-plane boundary conditions of the plate. It is shown that through a functionally graded distribution of carbon nanotubes across the thickness of the plate, the fundamental frequency of a rectangular plate with or without a cutout may be enhanced. Furthermore, the frequencies are highly dependent on the volume fraction of carbon nanotubes and may be increased upon using more carbon nanotubes as reinforcement.

Thermoelastic Deflection Responses of CNT Reinforced Sandwich Shell Structure using Finite Element Method

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Elastic bending and stress analysis of carbon nanotube‐reinforced composite plate: Experimental, numerical, and simulation

“…Now, the longitudinal and transverse moduli of the composite can be computed using the rule of mixture as [51] : Now, the longitudinal and transverse moduli of the composite can be computed using the rule of mixture as [51] :…”

“…In this method, the elastic properties are obtained by assuming the fiber alignment along the length of the composite structure including the equal strains for the fiber and the matrix material. Now, the longitudinal and transverse moduli of the composite can be computed using the rule of mixture as [51] :…”

A study on nonlinear vibration behavior of CNT-based representative volume element

“…The material properties of functionally graded CNT-reinforced composites are assumed to be graded through the thickness direction according to several linear distributions of the volume fraction of CNTs. After calculating the elastic modulus of the considered sample in different directions or calculating the average modulus, the system behavior in terms of bending, buckling, natural frequencies and free and forced vibrations are investigated [32][33][34][35][36][37][38][39][40][41][42][43][44][45][46]. Also in some studies the elastic foundation theory is used in modeling [47][48][49][50].…”