Flow-induced vibration of double bonded visco-CNTs under magnetic fields considering surface effect

Arani, A. Ghorbanpour; Amir, Saeed; Dashti, P.; Yousefi, M.

doi:10.1016/j.commatsci.2014.01.047

Cited by 51 publications

(13 citation statements)

References 33 publications

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“…For this matter, nonlocal small-scale theory and the effects of surface stress layer of CNT are considered in this study. As it is mentioned in our prior works, magnetic field increases the stability of the systems including CNT [13].…”

Section: Introductionmentioning

confidence: 91%

“…For this matter, we assume that the hollow CNT is subjected to transverse distributed load, which can also include the weight of the tube and the fluid along the length of the tube. The forces on the CNT can contribute to the potential energy of the loads, and due to the centripetal and tangential acceleration of the fluid, flow velocity can be accounted for the kinetic energy [13,19].…”

Section: Potential Energy Of Centripetal and Tangential Loads Of Fluimentioning

confidence: 99%

“…Knowingly, suitable mathematical models for CNT vibration characteristics are required. A two-dimensional magnetic field is considered in this study and Lorentz body forces and moment which can be obtained by using Maxwell's equation as follows [9,13]: and…”

Section: Magnetic Fieldmentioning

confidence: 99%

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Dynamic Response of Viscoelastic CNT Conveying Pulsating Fluid Considering Surface Stress and Magnetic Field

et al. 2015

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A viscoelastic carbon nanotube (CNT) conveying pulsating fluid is presented which is based on EulerBernoulli beam theory. Runge-Kutta scheme is chosen in order to illustrate the transverse and longitudinal behavior of structure. The effects of surface stress, magnetic field and nonlocal small-scale theory on motion of structure are expressed in this study. Equilibrium equations of CNT conveying pulsating fluid are obtained using energy method. Galerkin, differential quadrature and Runge-Kutta methods are applied to solve equations of motion. In this paper, the effect of pulsating fluid on longitudinal behavior of CNT and transverse displacement of CNT are presented. The static and dynamic transverse distributed loads and their effects on CNT are expressed. In this study, regions of CNT with chaotic, quasi-periodic and periodic behaviors are presented. Also the effects of various parameters such as distributed loads, surface stress and magnetic field on those regions are demonstrated. The results of this work could be helpful in design and manufacturing of nano-/micromechanical system in advanced medical applications such as drug delivery systems with magnetic field as a parametric controller.

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Section: Introductionmentioning

confidence: 91%

Section: Potential Energy Of Centripetal and Tangential Loads Of Fluimentioning

confidence: 99%

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Dynamic Response of Viscoelastic CNT Conveying Pulsating Fluid Considering Surface Stress and Magnetic Field

et al. 2015

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“…Ghorbanpour Arani et al (2014a) presented that the magnetic field is fundamentally an effective factor on increasing resonance frequency leading to stability of system. Wang et al (2010) carried out the influences of longitudinal magnetic field on wave propagation in CNTs embedded in elastic matrix.…”

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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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 asymptotic frequencies of four kinds of nonlocal viscoelastic damped structures, including an Euler-Bernoulli beam with rotary inertia, a Timoshenko beam, a Kirchhoff plate with rotary inertia and a Mindlin plate are studied by Lei et al [39]. Arani et al [40] investigated the vibration of double viscoelastic CNTs conveying viscous fluid coupled by visco-Pasternak medium using the surface nonlocal theory. Karličić et al [41] studied free longitudinal vibration of a nonlocal viscoelastic double-nanorod system as a complementary study at nano scale to Erol and Gürgöze's paper [42].…”

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confidence: 99%

Longitudinal Vibration of CNTs Viscously Damped in Span

Arda

Aydoğdu

2017

International Journal of Engineering &Amp; Applied Sciences

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Flow-induced vibration of double bonded visco-CNTs under magnetic fields considering surface effect

Cited by 51 publications

References 33 publications

Dynamic Response of Viscoelastic CNT Conveying Pulsating Fluid Considering Surface Stress and Magnetic Field

Dynamic Response of Viscoelastic CNT Conveying Pulsating Fluid Considering Surface Stress and Magnetic Field

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

Longitudinal Vibration of CNTs Viscously Damped in Span

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