In-plane vibration analysis of curved carbon nanotubes conveying fluid embedded in viscoelastic medium

Ghavanloo, Esmaeal; Rafiei, M.; Daneshmand, Farhang

doi:10.1016/j.physleta.2011.03.025

Cited by 41 publications

(20 citation statements)

References 30 publications

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“…Subsequently, much progress on nonlinear problems of nanostructures with the nonlocal elasticity theory has been reported [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25]. The deformation and vibration of nanobeam have been studied by Lim [6][7] and Reddy [8], the assessment of nanotube structures has been investigated by Kiani K [9].…”

Section: Introductionmentioning

confidence: 99%

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Stochastic Resonance and Safe Basin of Single-Walled Carbon Nanotubes with Strongly Nonlinear Stiffness under Random Magnetic Field

Lim

et al. 2018

Preprint

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Abstract:In this paper, a kind of single-walled carbon nanotube nonlinear model is developed, and the strongly nonlinear dynamic characteristics of such carbon nanotubes subjected to random magnetic field are studied. The nonlocal effect of microstructure is considered based on the theory of nonlocal elasticity. The natural frequency of the strongly nonlinear dynamic system is obtained by the energy function method, the drift coefficient and the diffusion coefficient are verified. The stationary probability density function of the system dynamic response is given and the fractal boundary of the safe basin is provided.Theoretical analysis and numerical simulation show that stochastic resonance occurs when varying the random magnetic field intensity. The boundary of safe basin has fractal characteristics and the area of safe basin decreases when the intensity of the magnetic field permeability increases.

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Section: Introductionmentioning

confidence: 99%

“…The studies on buckling of nanotubes have been reported in various references [10][11][12][13]. In addition, plenty of research results on nanotubes vibration have been reported recently [14][15][16][17][18][19][20][21][22][23][24][25].…”

Section: Introductionmentioning

confidence: 99%

Stochastic Resonance and Safe Basin of Single-Walled Carbon Nanotubes with Strongly Nonlinear Stiffness under Random Magnetic Field

Lim

et al. 2018

Preprint

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“…Many researchers have done much work in this area [6][7][8][9][10][11][12]. The systems they studied range from straight to curved configurations of nanotubes with either single wall or multi walled, linear and nonlinear vibration [13][14][15][16].…”

Section: Introductionmentioning

confidence: 99%

Vibration and instability analysis of fluid-conveying nanotubes embedded in visco-elastic medium with consideration of surface effect

Zhen¹

2016

Math. models, eng.

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Abstract.We establish an analytical model to investigate the surface effects on the vibration and instability of fluid-conveying nanotubes embedded in visco-elastic medium. Based on nonlocal elastic theory and Euler-Bernoulli beam theory, the vibration equation of fluid-conveying nanotubes is established with considering three typical boundary conditions. The effects of both inner and outer surface layers on the nanotubes are taken into consideration and the Kelvin-Voigt model is introduced. The results show that the boundary conditions of system, the damping and elastic coefficient of the surrounding medium, thickness of nanotubes and aspect ratios have significant effects on the dynamic behaviors of the nanotubes. The damping parameter of the visco-elastic foundation causes an obvious reduction of the critical flow velocity. For smaller tube thickness, larger aspect ratio or higher elastic parameter of surrounding foundation, the stability of the nanotubes may be greatly enhanced. This article might be helpful for the design and improvement of nanotubes for fluid-conveying applications embedded in elastic medium in nanoelectromechanical systems and microelectromechanical systems.

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“…They used the nonlocal Euler-Bernoulli beam theory to investigate fluid-induced vibration of the SWCNT, while viscoelastic behavior of the surrounding tissue which is simulated by the Kelvin-Voigt model [5]. Ghavanloo et al investigated in-plane vibration analysis of curved CNTs conveying fluid embedded in viscoelastic medium [6]. Zhen et al studied transverse vibration of fluid-conveying DWCNTs embedded in biological soft tissue.…”

Section: Introductionmentioning

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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In-plane vibration analysis of curved carbon nanotubes conveying fluid embedded in viscoelastic medium

Cited by 41 publications

References 30 publications

Stochastic Resonance and Safe Basin of Single-Walled Carbon Nanotubes with Strongly Nonlinear Stiffness under Random Magnetic Field

Stochastic Resonance and Safe Basin of Single-Walled Carbon Nanotubes with Strongly Nonlinear Stiffness under Random Magnetic Field

Vibration and instability analysis of fluid-conveying nanotubes embedded in visco-elastic medium with consideration of surface effect

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

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