Abstract

The current paper is aimed to investigate the effects of waviness, random orientation, and agglomeration factor of nanoreinforcements on wave propagation in fluid-conveying multi-walled carbon nanotubes (MWCNTs)-reinforced nanocomposite cylindrical shell based on first-order shear deformable theory (FSDT). The effective mechanical properties of the nanocomposite cylindrical shell are estimated employing a combination of a novel form of Halpin-Tsai homogenization model and rule of mixture. Utilized fluid flow obeys Newtonian fluid law and it is axially symmetric and laminar flow and it is considered to be fully developed. The effect of flow velocity is explored by implementing Navier-Stokes equation. The kinetic relations of nanocomposite shell are calculated via FSDT. Moreover, the governing equations are derived using the Hamiltonian approach. Afterward, a method which solves problems analytically is applied to solve the obtained governing equations. Effects of a wide range of variants such as volume fraction of MWCNTs, radius to thickness ratio, flow velocity, waviness factor, random orientation factor, and agglomeration factor on the phase velocity and wave frequency of a fluid conveying MWCNTs-reinforced nanocomposite cylindrical shell were comparatively illustrated and the results were discussed in detail.

Highlights

  • One substantial concern of engineers in designing structures and researchers in analyzing structures is the durability and permanence of the structure while it is subjected to various kinds of static and dynamic loadings

  • The effects of multi-walled carbon nanotubes (MWCNTs)’ orientation, waviness, and agglomeration on wave dispersion behavior of a fluid conveying MWCNT-reinforced polymeric nanocomposite were investigated in the framework of a novel form of Halpin-Tsai homogenization model

  • A method that consist of an exponential function was considered to analytically solve the obtained governing equations of fluid-conveying MWCNT-reinforced nanocomposite cylindrical shells

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Summary

Introduction

One substantial concern of engineers in designing structures and researchers in analyzing structures is the durability and permanence of the structure while it is subjected to various kinds of static and dynamic loadings. Tahouneh [40] investigated the impact of CNTs’ waviness and aspect ratio on the free vibration analysis of embedded CNT-reinforced nanocomposite annular plates in the framework of FSDT and HSDT. The literature review, showed no study addressing wave propagation analysis of fluid conveying MWCNTs-reinforced nanocomposite cylindrical shell in terms of MWCNTs orientation, waviness, and agglomeration within the framework of a novel form of Halpin-Tsai micromechanical model. The orientation, waviness, and agglomeration of reinforcements affect remarkably mechanical response of reinforced composite structures These influences have not been examined on responses of propagated wave in MWCNTs-reinforced nanocomposite structures. The effects of MWCNTs’ orientation, waviness, and agglomeration on wave dispersion behavior of a fluid conveying MWCNT-reinforced polymeric nanocomposite were investigated in the framework of a novel form of Halpin-Tsai homogenization model. The obtained governing equations were analytically solved to probe the effect of various variables on the variation of phase velocity and wave frequency of fluid conveying MWCNTs-reinforced nanocomposite cylindrical shells

Homogenization Procedure
Kinetic Relations
Analytical Solution Scheme
Numerical Results and Discussion
Conclusions
Methods
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