Stability analysis of a single-walled carbon nanotube conveying pulsating and viscous fluid with nonlocal effect

Liang, Feng; Su, Yue

doi:10.1016/j.apm.2013.01.053

Cited by 73 publications

(26 citation statements)

References 42 publications

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“…The case of pulsating internal flow is assumed harmonically fluctuating, as follows Liang and Su (2013):…”

Section: Virtual Work Of Pulsating Nano-flowmentioning

confidence: 99%

“…Hence, dynamic analysis of CNTs conveying pulsating fluid is very significant and essential. The stability analysis of a SWCNT conveying pulsating and viscous fluid with nonlocal effect was investigated by Liang and Su (2013). They showed that decrease of nonlocal parameter and increase of viscous parameter both increases the fundamental frequency and critical flow velocity.…”

Section: Introductionmentioning

confidence: 99%

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Pulsating fluid induced dynamic instability of visco-double-walled carbon nano-tubes based on sinusoidal strain gradient theory using DQM and Bolotin method

Arani

Kolahchi

Mosayyebi

et al. 2014

Int J Mech Mater Des

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This research deals with the dynamic instability analysis of double-walled carbon nanotubes (DWCNTs) conveying pulsating fluid under 2D magnetic fields based on the sinusoidal shear deformation beam theory (SSDBT). In order to present a realistic model, the material properties of DWCNTs are assumed viscoelastic using Kelvin-Voigt model. Considering the strain gradient theory for small scale effects, a new formulation of the SSDBT is developed through the Gurtin-Murdoch elasticity theory in which the effects of surface stress are incorporated. The surrounding elastic medium is described by a visco-Pasternak foundation model, which accounts for normal, transverse shear and damping loads. The van der Waals interactions between the adjacent walls of the nanotubes are taken into account. The size dependent motion equations and corresponding boundary conditions are derived based on the Hamilton's principle. The differential quadrature method in conjunction with Bolotin method is applied for obtaining the dynamic instability region. The detailed parametric study is conducted, focusing on the combined effects of the nonlocal parameter, magnetic field, visco-Pasternak foundation, Knudsen number, surface stress and fluid velocity on the dynamic instability of DWCNTs. The results depict that the surface stress effects on the dynamic instability of visco-DWCNTs are very significant. Numerical results of the present study are compared with available exact solutions in the literature. The results presented in this paper would be helpful in design and manufacturing of nano/micro mechanical systems in advanced biomechanics applications with magnetic field as a parametric controller.

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“…The case of pulsating internal flow is assumed harmonically fluctuating, as follows Liang and Su (2013):…”

Section: Virtual Work Of Pulsating Nano-flowmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Pulsating fluid induced dynamic instability of visco-double-walled carbon nano-tubes based on sinusoidal strain gradient theory using DQM and Bolotin method

Arani

Kolahchi

Mosayyebi

et al. 2014

Int J Mech Mater Des

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show abstract

“…In the past years, a number of theoretical studies have been focused on understanding the responses of fluid-loaded nanotubes/microtubes (Dai, Wang, & Ni, 2014;Ke & Wang, 2010;Kuang, He, Chen, & Li, 2009;Lee & Chang, 2008;Liang & Su, 2013;Tang, Ni, Wang, Luo, & Wang, 2014;Wang, Guo, & Hu, 2009;Wang, Liu, Ni, & Wu, 2013;Wang & Ni, 2008;Yan, Wang, & Zhang, 2010;Yang, Jia, Yang, & Fang, 2014;Yoon, Ru, & Mioduchowski, 2006). The earliest research studies of the vibrations of fluid-conveying nanotubes were based on linear analyses without considering possible nonlinear sources.…”

Section: Introductionmentioning

confidence: 99%

On nonlinear behavior and buckling of fluid-transporting nanotubes

Dai

Wang

Abdelkefi

et al. 2015

International Journal of Engineering Science

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“…There are four main models to investigate the mechanical behaviors of nanostructures: quantum mechanics, atomistic simulation, continuum modeling, and lumped system modeling. Yet due to the complex nature of these models, the most commonly seen model involves classic beam theory [17] to eventualy include nonlocal effects [22]. Models of CNT cantilevers as a spring with nanoscale mass attached to the free end were reported in the literature [34].…”

Section: Introductionmentioning

confidence: 99%

Bifurcation and pull-in voltages of primary resonance of electrostatically actuated SWCNT cantilevers to include van der Waals effect

Caruntu

Luo

2016

Meccanica

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In this work the voltage response of primary resonance of electrostatically actuated single wall carbon nano tubes (SWCNT) cantilevers over a parallel ground plate is investigated. Three forces act on the SWCNT cantilever, namely electrostatic, van der Waals and damping. While the damping is linear, the electrostatic and van der Waals forces are nonlinear. Moreover, the electrostatic force is also parametric since it is given by AC voltage. Under these forces the dynamics of the SWCNT is nonlinear parametric. The van der Waals force is significant for values less than 50 nm of the gap between the SWCNT and the ground substrate. Reduced order model method (ROM) is used to investigate the system under soft excitation and weak nonlinearities. The voltageamplitude response and influences of parameters are reported for primary resonance (AC near half natural frequency).

show abstract

Stability analysis of a single-walled carbon nanotube conveying pulsating and viscous fluid with nonlocal effect

Cited by 73 publications

References 42 publications

Pulsating fluid induced dynamic instability of visco-double-walled carbon nano-tubes based on sinusoidal strain gradient theory using DQM and Bolotin method

Pulsating fluid induced dynamic instability of visco-double-walled carbon nano-tubes based on sinusoidal strain gradient theory using DQM and Bolotin method

On nonlinear behavior and buckling of fluid-transporting nanotubes

Bifurcation and pull-in voltages of primary resonance of electrostatically actuated SWCNT cantilevers to include van der Waals effect

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