Nonlinear vibration and instability analysis of functionally graded CNT-reinforced cylindrical shells conveying viscous fluid resting on orthotropic Pasternak medium
“…Herein, the viscous fluid flow in MWCNTs-reinforced cylindrical shells is supposed to be, Newtonian, laminar, fully developed and axially symmetric [50]. Therefore, the Navier-Stokes equation will be used.…”
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.
“…Herein, the viscous fluid flow in MWCNTs-reinforced cylindrical shells is supposed to be, Newtonian, laminar, fully developed and axially symmetric [50]. Therefore, the Navier-Stokes equation will be used.…”
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.
“…The viscous fluid flow in anisotropic cylindrical shells is supposed to be an axially symmetric, fully developed, laminar, and Newtonian [41]. Thus, the Navier-Stokes equation can be applied.…”
In the present article, first-order shear deformation theory (FSDT) of the shell has been employed, for the first time, in order to analyze the propagation of the flexural waves in anisotropic fluid-conveying cylindrical shells. Four various anisotropic materials are utilized and their wave propagation behavior surveyed. Viscous fluid flow has been regarded to be laminar, fully developed, Newtonian, and axially symmetric. The Navier–Stokes equation can be utilized to explore the flow velocity effect. FSDT of the shell and Hamilton’s principle have been employed in order to achieve governing equations of anisotropic fluid-conveying cylindrical shells and finally, the obtained governing equations have been solved via an analytical method. In addition, the influences of different variables such as flow velocity, radius to thickness ratio, and longitudinal and circumferential wave numbers have been investigated and indicated within the framework of a detailed set of figures.
“…As reinforcements of the cylindrical shell, uniform distribution (UD), FGO, FGV and FGX distribution of CNT were used. For these distributions, volume fraction of CNT is presented as follows: 11 where Figure 3.Influence of the fluid velocity on the frequency (Hz) with different nonlinear temperature changes for L/R = 0.1, R/h = 0.3, Kw=108(N/m) and Φ=100(m/s).…”
Section: Mathematical Modelingmentioning
confidence: 99%
“…Recently, Rabani Bidgoli et al. 11 studied dynamic stability/instability and nonlinear vibration of cylindrical shells conveying viscous fluid. Also, Mohammadi et al.…”
In this article, buckling and vibrational behaviors of a carbon nanotube reinforced spinning cylindrical thick shell carrying spring–mass systems and conveying viscous fluid flow are investigated under various temperature distributions. Also, the installed sensors on the proposed system are considered as a tip mass. The uniform distribution and the functionally graded distribution patterns of reinforcement are considered. The modeled cylindrical thick shell and governing equations are derived by a new three-dimensional refined higher-order theory. Finally, the effects of various types of carbon nanotube reinforcements and other parameters on buckling and vibrational characteristics of the structure are investigated in detail.
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