Thermo-mechanical vibration and instability of carbon nanocones conveying fluid using nonlocal Timoshenko beam model

Afkhami, Zahra; Farid, Muhammad

doi:10.1177/1077546314534715

Cited by 14 publications

(5 citation statements)

References 40 publications

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“…They showed that the effects of nonlocal effect, viscosity of fluid, boundary conditions, and curvature on the behavior of curved CNTs and straight CNTs are the same. Afkhami and Farid (2014) reported the vibration and instability of fluid-conveying carbon nanocones based on nonlocal elasticity theory and thermal elasticity. The results showed that the nonlocal Timoshenko beam theory predicts smaller critical flow velocity rather than the classical theory.…”

Section: Introductionmentioning

confidence: 99%

Nonlocal instability of cantilever piezoelectric carbon nanotubes by considering surface effects subjected to axial flow

Hosseini

Bahaadini

Jamali

2016

Journal of Vibration and Control

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In this study, the divergence and flutter instability of a cantilever piezoelectric carbon nanotube (CNT) conveying flowing fluid is investigated by considering surface effects. The size-dependent governing differential equation of a piezoelectric CNT is derived using a Newtonian method based on the Eringen nonlocal elasticity theory and in conjunction with the Euler–Bernoulli beam model. The extended Galerkin method is employed to transform the partial differential equation into a set of ordinary differential equations. The resulting eigenvalue problem is solved numerically to determine the effect of nonlocal parameter, various values of piezoelectric voltage, and surface effects on the divergence and flutter instability of a CNT conveying a fluid. Results show that by increasing the voltage from negative values to positive values, the nondimensional critical velocity of the fluid flow decreases. In addition, it should be noted that the effects of the nonlocal parameter lead to a reduction of the flutter and divergence stability of the CNT. Finally, this research can be used to design fluid-conveying nanodevices based on piezoelectric CNTs.

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Section: Introductionmentioning

confidence: 99%

Nonlocal instability of cantilever piezoelectric carbon nanotubes by considering surface effects subjected to axial flow

Hosseini

Bahaadini

Jamali

2016

Journal of Vibration and Control

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“…Considering the small-size effects and Knudsen number, the vertical nanotube conveying fluid was studied by Bahaadini et al [40] based on the nonlocal strain gradient Timoshenko beam theory. A thermo-mechanical vibration instability analysis of the CNT conveying fluid was conducted by Afkhami and Farid [41] using a nonuniform cross-section nonlocal Timoshenko beam model. Besides a linear stability analysis, nonlinear vibration characteristics have also been focused on by researchers.…”

Section: Introductionmentioning

confidence: 99%

Vibration Analysis of Fluid Conveying Carbon Nanotubes Based on Nonlocal Timoshenko Beam Theory by Spectral Element Method

Wang

2019

Nanomaterials

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In this work, we applied the spectral element method (SEM) to analyze the dynamic characteristics of fluid conveying single-walled carbon nanotubes (SWCNTs). First, the dynamic equations for fluid conveying SWCNTs were deduced based on the nonlocal Timoshenko beam theory. Then, the spectral element formulation was established for a free/forced vibration analysis of fluid conveying SWCNTs by introducing discrete Fourier transform. Furthermore, the proposed method was validated using several comparison examples. Finally, the natural frequencies and dynamic responses of a simply-supported fluid conveying SWCNTs were calculated by the SEM, considering different internal fluid velocities and small-scale parameters (SSPs). The effects of fluid velocity and SSPs on the dynamic characteristics of SWCNTs conveying fluid were revealed by the numerical results. Compared with other methods, the SEM shows high accuracy and efficiency.

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“…In addition, it is verified that temperature change and magnetic field could also impact upon the vibration of CNTs [44][45][46][47][48][49][50][51][52][53][54][55][56]. Considering the thermal and surface effects, Zhen and Zhou [57] utilised the Euler-Bernoulli beam model and non-local strain gradient theory to analyse the properties of wave propagation in fluid-conveying SWCNTs under magnetic field.…”

Section: Introductionmentioning

confidence: 99%

Wave propagation in fluid‐conveying nanotubes under multi‐physical fields based on non‐local higher‐order strain gradient model

Pang

Wang

Zhang

2019

Micro & Nano Letters

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This work studies the wave propagation in embedded single-walled carbon nanotubes (CNTs) conveying fluid and placed in multi-physical fields based on the non-local higher-order strain gradient model with surface effect considered. The nanotubes are modelled as Timoshenko beams. Utilising Hamilton's principle, the governing equations of wave motion in CNTs are derived. The solution for the phase velocity of wave motion is obtained, which can not only consider the stiffness softening effect but also reflect the stiffness enhancement effect of scale parameter observed by experiments. The numerical simulations are conducted to compare the results on the basis of different order non-local strain gradient models. It is shown that the behaviours of wave propagation based on the non-local higher-order strain gradient models are quite different from those based on the classical continuum model. In addition, the scale and surface effects and influences of various external factors including inner flow, surrounding medium, temperature field, and magnetic field on the wave dispersion are investigated.

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Thermo-mechanical vibration and instability of carbon nanocones conveying fluid using nonlocal Timoshenko beam model

Cited by 14 publications

References 40 publications

Nonlocal instability of cantilever piezoelectric carbon nanotubes by considering surface effects subjected to axial flow

Nonlocal instability of cantilever piezoelectric carbon nanotubes by considering surface effects subjected to axial flow

Vibration Analysis of Fluid Conveying Carbon Nanotubes Based on Nonlocal Timoshenko Beam Theory by Spectral Element Method

Wave propagation in fluid‐conveying nanotubes under multi‐physical fields based on non‐local higher‐order strain gradient model

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