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International Journal of Mechanics and Materials in Design

Erschienen in:

19.12.2014

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

verfasst von: A. Ghorbanpour Arani, R. Kolahchi, M. Mosayyebi, M. Jamali

Erschienen in: International Journal of Mechanics and Materials in Design | Ausgabe 1/2016

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Abstract

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.

Vorheriger Artikel Active vibration control of an arbitrary thick smart cylindrical panel with optimally placed piezoelectric sensor/actuator pairs

Nächster Artikel Investigation of thermoelastic damping in rectangular microplate resonator using modified couple stress theory

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Titel: Pulsating fluid induced dynamic instability of visco-double-walled carbon nano-tubes based on sinusoidal strain gradient theory using DQM and Bolotin method
verfasst von: A. Ghorbanpour Arani
R. Kolahchi
M. Mosayyebi
M. Jamali
Publikationsdatum: 19.12.2014
Verlag: Springer Netherlands
Erschienen in: International Journal of Mechanics and Materials in Design / Ausgabe 1/2016
Print ISSN: 1569-1713
Elektronische ISSN: 1573-8841
DOI: https://doi.org/10.1007/s10999-014-9291-9

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