Free transverse vibration of double-walled carbon nanotubes embedded in viscoelastic medium

This paper aims to study the vibration characteristics of viscoelastic double-walled carbon nanotubes embedded in a viscoelastic medium. In doing this, the governing equations of the system are derived by combining the Euler–Bernoulli beam theory, nonlocal viscoelastic model and Kelvin viscoelastic...

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Bibliographic Details
Published in:Acta mechanica 2016-12, Vol.227 (12), p.3657-3670
Main Authors: Zhang, D. P., Lei, Y., Shen, Z. B.
Format: Article
Language:English
Subjects:
Boundary conditions
Carbon nanotubes
Classical and Continuum Physics
Coefficients
Comparative analysis
Control
Damping
Dynamical Systems
Engineering
Engineering Thermodynamics
Heat and Mass Transfer
Mathematical analysis
Mathematical models
Nanotubes
Original Paper
Solid Mechanics
Theoretical and Applied Mechanics
Vibration
Vibration (Physics)
Viscoelasticity
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Summary:This paper aims to study the vibration characteristics of viscoelastic double-walled carbon nanotubes embedded in a viscoelastic medium. In doing this, the governing equations of the system are derived by combining the Euler–Bernoulli beam theory, nonlocal viscoelastic model and Kelvin viscoelastic foundation model. Subsequently, the transfer function method is employed to solve the governing equations, which enables one to obtain the natural frequencies and the corresponding mode shapes in closed form for the DWCNTs with arbitrary boundary conditions. Here, the developed mechanics model is first compared with the existing techniques available in the literature, where excellent agreement is achieved. Also, a detailed parametric study is conducted to examine the effect of boundary conditions, nonlocal parameter, relaxation time, slenderness ratio, stiffness coefficient and damping coefficient on the vibration response of the DWCNTs.
ISSN:0001-5970
1619-6937
DOI:10.1007/s00707-016-1686-2