Nonlocal wave propagation in an embedded DWBNNT conveying fluid via strain gradient theory

Arani, A. Ghorbanpour; Kolahchi, Reza; Vossough, H.

doi:10.1016/j.physb.2012.07.018

Cited by 33 publications

(7 citation statements)

References 24 publications

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“…The strain energy U in a deformed isotropic linear elastic material occupying region X is given by Lei et al (2013a), Ghorbanpour Arani et al (2012):…”

Section: Strain Gradient Elasticity Theorymentioning

confidence: 99%

“…For instance, Akgöz and Civalek (2013a, b) studied free vibration analysis of axially functionally graded tapered Bernoulli-Euler microbeams based on the modified couple stress theory. Ghorbanpour Arani et al (2012) investigated nonlocal wave propagation in an embedded double-walled boron nitride nanotubes (DWBNNT) conveying fluid via strain gradient theory. Akgöz and Civalek (2013a, b) presented a size-dependent shear deformation beam model based on the strain gradient elasticity theory.…”

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 strain energy U in a deformed isotropic linear elastic material occupying region X is given by Lei et al (2013a), Ghorbanpour Arani et al (2012):…”

Section: Strain Gradient Elasticity Theorymentioning

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

Self Cite

View full text Add to dashboard Cite

show abstract

“…The experimental studies proved that as the size effect is not considered in classical continuum theories, these theories are incapable of predicting the behavior of nanostructures accurately. Thus, the size‐dependent continuum theories, for example, classical couple stress theory, 2,3 modified couple stress theory, 4 nonlocal elasticity theory, 5–8 and strain gradient theory, 9–11 have been employed to analyze the nanostructures. With improvements in nanotechnology, rotating beams found their way in small‐scale and accurate devices.…”

Section: Introductionmentioning

confidence: 99%

Dynamic analysis of rotating double‐tapered cantilever Timoshenko nano‐beam using the nonlocal strain gradient theory

2020

Math Methods in App Sciences

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Based on the nonlocal strain gradient theory, the coupling nonlinear dynamic equations of a rotating double‐tapered cantilever Timoshenko nano‐beam are derived using the Hamilton principle. The equation of motion is discretized via the differential quadrature method. The effects of the angular velocity, nonlocal parameter, slenderness ratio, cross‐section parameter, and taper ratios are examined and discussed. It is shown that taper ratios and cross‐section parameter play a significant role in the vibration response of a rotating cantilever nano‐beam. Further as rotational angular velocity increases, the taper ratios and cross‐section parameter effect on the frequency response are increased for first modes of vibration.

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“…Nanoscale vibrational analysis of a multi-layered graphene sheets (MLGSs) embedded in an elastic medium was studied by Behfar and Naghdabadi, 21 and the corresponding natural frequencies and the associated modes are determined. Ghorbanpour Arani et al 22 discussed the wave propagation of double-walled boron nitride nanotube (DWBNNT) based on the strain gradient and Eringen’s piezoelasticity theories embedded in Pasternak foundation. The propagation of elastic waves in a SLGS supported by an elastic medium via the nonlocal continuum model was studied by Liu and Yang.…”

Section: Introductionmentioning

confidence: 99%

Analytical modeling of wave propagation in viscoelastic functionally graded carbon nanotubes reinforced piezoelectric microplate under electro-magnetic field

Arani

Jamali

Mosayyebi

et al. 2016

Proceedings of the Institution of Mechanical Engineers, Part N:

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Wave propagation analysis of a functionally graded carbon nanotubes reinforced piezoelectric composite (FG-CNTRPC) microplate is the major main of the present research. In order to present a realistic model, the material properties of the system are assumed viscoelastic and the Kelvin-Voigt model is applied. The viscoelastic FG-CNTRPC microplate is subjected to longitudinal magnetic and three-dimensional electric fields. The distribution of carbon nanotubes in FG-CNTRPC microplate is supposed as uniform distribution and surrounding circumference is simulated as Visco-Pasternak foundation. The original formulation of the quasi-three-dimensional sinusoidal shear deformation plate theory is here extended to the wave propagation analysis and the size effects are considered based on Eringen's nonlocal theory. In order to calculate the dimensionless frequency, cutoff and escape frequencies analytical solution is applied. In this article, the influences of the volume fraction of carbon nanotubes, electromagnetic fields and elastic medium on the dimensionless frequency of viscoelastic FG-CNTRPC microplate are investigated. Furthermore, the effect of small-scale parameter on the cutoff and escape frequencies of the system will be studied. Results demonstrate that the dimensionless cutoff and escape frequencies decrease with increasing the magnitude of small-scale parameter. In addition, the imposed magnetic field and external voltage are significant parameters for controlling wave propagation of the viscoelastic FG-CNTRPC microplate. Results of this investigation can be helpful for the study and design of composite systems based on smart control and sensor applications.

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Nonlocal wave propagation in an embedded DWBNNT conveying fluid via strain gradient theory

Cited by 33 publications

References 24 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

Dynamic analysis of rotating double‐tapered cantilever Timoshenko nano‐beam using the nonlocal strain gradient theory

Analytical modeling of wave propagation in viscoelastic functionally graded carbon nanotubes reinforced piezoelectric microplate under electro-magnetic field

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