Viscoelastic material damping characteristics of carbon nanotubes based functionally graded composite shell structures

Abstract

This work deals with the study of viscoelastic modeling and vibration analysis of functionally graded nanocomposite shell panels where carbon nanotubes are reinforced in the polymer matrix based on the functionally graded distributions of carbon nanotubes. Five types of grading of carbon nanotubes (such as UD, FGX, FGV, FGO, and FGΛ) in the thickness directions have been considered in order to investigate the vibration damping performance of such composite shell panels. A detailed mathematical formulation for the determination viscoelastic properties is presented. The Mori–Tanaka micromechanics in conjunction with weak interface theory has been developed for the mathematical formulations of the viscoelastic modeling of carbon nanotubes based polymer matrix phase. An eight-noded shell element with five degrees-of-freedom per node has been formulated to study the vibration damping characteristics of various panels made by such functionally graded nanocomposite materials. The shell finite element formulation is based on the transverse shear effects as per the Mindlin’s hypothesis, and stress resultant-type Koiter’s shell theory. Impulse and frequency responses of such structures have been performed to study the effects of various important parameters (such as volume fraction of carbon nanotubes, interfacial condition, agglomeration, temperature, geometries of shell panel) on the dynamic responses. Obtained results demonstrate that quick vibration mitigation may be possible using such carbon nanotubes based proposed composite materials.

Analysis of the Influence of Single-Walled Carbon Nanotubes on the Fluid–Structure Interaction Vibration Control in Bionic Hydraulic Pipelines

“…Rafie [16] studied the vibration and damping properties of epoxy composites modified with pristine and amino-functionalized graphene nanoplatelets (GNPs) at four different nanofiller loadings. Swain [17,18] conducted viscoelastic modeling and vibration analysis on nanocomposite shell panels with different CNTs and presented a detailed mathematical formulation for the determination of viscoelastic properties. Pan [19] prepared single-walled carbon nanotubes (SWCNTs)/7075 aluminum matrix composites to investigate the effects of different SWNTs contents on the microstructure and mechanical properties.…”

An analytical approach to the nonlinear buckling behavior of axially compressed auxetic-core cylindrical shells with carbon nanotube-reinforced coatings

“…25 The effect of viscoelastic properties of CNT-reinforced shells was also presented. 26 Additionally, CNT can be orthogonally reinforced in circumferential and longitudinal axes of cylindrical shells which were proposed and investigated. 27,28 The effect of variable thickness on the vibration and stability behavior of CNT-reinforced structures was studied.…”

Effect of Temperature on the Viscoelastic Properties of Carbon Nanotube Reinforced Polypropylene Composites

“…Duncan et al [36] analyzed the effect of CNT aspect ratio and epoxide-terminated surface modification on the glass transition temperature (Tg) and loss modulus (E") of nanocomposites. Swain and Roy [37] showed that quick vibration mitigation was possible by adding carbon nanotubes into the 934 epoxy according to micromechanics principles. Hirane et al [38] further investigated the static and free vibration of sandwich plates with layerwise finite element method, and the results showed that the developed model is promising in the accuracy and fast rate of convergence.…”