Small-scale effect on the vibration of non-uniform carbon nanotubes conveying fluid and embedded in viscoelastic medium

Rafiei, M.; Mohebpour, Saeed Reza; Daneshmand, Farhang

doi:10.1016/j.physe.2012.02.021

Cited by 74 publications

(32 citation statements)

References 25 publications

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“…Yas and Samadi [22] examined CNT-reinforced composite on and elastic medium. A small scale effect in nonuniform CNT conveying fluid on the viscoelastic medium was examined [23]. Aydogdu [24] analyzed nanorods on an elastic medium.…”

Section: Introductionmentioning

confidence: 99%

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Nonlinear Vibration of a Nonlocal Nanobeam Resting on Fractional-Order Viscoelastic Pasternak Foundations

et al. 2018

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Abstract:In the present study, the nonlinear vibration of a nanobeam resting on the fractional order viscoelastic Winkler-Pasternak foundation is studied using nonlocal elasticity theory. The D'Alembert principle is used to derive the governing equation and the associated boundary conditions. The approximate analytical solution is obtained by applying the multiple scales method. A detailed parametric study is conducted, and the effects of the variation of different parameters belonging to the application problems on the system are calculated numerically and depicted. We remark that the order and the coefficient of the fractional derivative have a significant effect on the natural frequency and the amplitude of vibrations.

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Section: Introductionmentioning

confidence: 99%

“…The direct iterative method was used in dynamical analysis of DWCNT [38]. The finite element method [21,23] and the differential quadrature method [13,22] also exhibited more advantages.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Vibration of a Nonlocal Nanobeam Resting on Fractional-Order Viscoelastic Pasternak Foundations

et al. 2018

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“…(11) with dimensionless parameter ̅ = assumption, Eq. (13) is obtained: (9) If the nonlocal parameter is chosen as m=0 in Eq. (9), the classical elasticity equation is obtained respectively.…”

Section: Governing Equation Of Cnt With Viscoelastic Mediummentioning

confidence: 99%

“…9 (26) 2015 under the action of concentrated follower force [8]. Rafiei et al investigated vibration characteristics of non-uniform SWCNTs conveying fluid embedded in viscoelastic medium using nonlocal Euler-Bernoulli beam theory [9]. Ghorbanpour and Arani studied nonlocal vibration of double of CNTs system conveying fluid coupled by viscoPasternak medium based on nonlocal elasticity theory where CNTs are placed in uniform temperature change and magnetic field [10].…”

mentioning

confidence: 99%

Analysis of Free Torsional Vibration in Carbon Nanotubes Embedded in a Viscoelastic Medium

Arda¹,

Aydoğdu²

2015

Adv. Sci. Technol. Res. J.

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Carbon Nanotubes (CNTs) have a great potential in many areas like electromechanical systems, medical application, pharmaceutical industry etc. The surrounding physical environment of CNT is very important on torsional vibration behavior of CNT. Damping and elastic effect of medium to the torsional vibration of CNTs are investigated in the present study. Governing equation of motion of nanotube is obtained using Eringen's Nonlocal Elasticty Theory. The effects of some parameters like nonlocal parameter, stiffness parameter and nanotube length are studied in detail.

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“…By considering the small-size effects on the flow field, Rashidi et al [11] presented an innovative model for coupled vibrations of fluid-conveying nanotubes. The nonlocal Euler-Bernoulli beam theory was used by Rafiei et al [30] to investigate the vibration characteristics of non-uniform single-walled, fluid-conveying carbon nanotubes embedded in a viscoelastic medium.…”

mentioning

confidence: 99%

Surface stress effect on the vibration and instability of nanoscale pipes conveying fluid based on a size-dependent Timoshenko beam model

et al. 2015

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Presented in this paper is a precise investigation of the effect of surface stress on the vibration characteristics and instability of fluid-conveying nanoscale pipes. To this end, the nanoscale pipe is modeled as a Timoshenko nanobeam. The equations of motion of the nanoscale pipe are obtained based on Hamilton's principle and the Gurtin-Murdoch continuum elasticity incorporating the surface stress effect. Afterwards, the generalized differential quadrature method is employed to discretize the governing equations and associated boundary conditions. To what extent important parameters such as the thickness, material and surface stress modulus, residual surface stress, surface density, and boundary conditions influence the natural frequency of nanoscale pipes and the critical velocity of fluid is discussed.

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Small-scale effect on the vibration of non-uniform carbon nanotubes conveying fluid and embedded in viscoelastic medium

Cited by 74 publications

References 25 publications

Nonlinear Vibration of a Nonlocal Nanobeam Resting on Fractional-Order Viscoelastic Pasternak Foundations

Nonlinear Vibration of a Nonlocal Nanobeam Resting on Fractional-Order Viscoelastic Pasternak Foundations

Analysis of Free Torsional Vibration in Carbon Nanotubes Embedded in a Viscoelastic Medium

Surface stress effect on the vibration and instability of nanoscale pipes conveying fluid based on a size-dependent Timoshenko beam model

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