Buckling Analysis of a Rotationally Restrained Single Walled Carbon Nanotube Embedded In An Elastic Medium Using Nonlocal Elasticity
Abstract
The buckling analysis of a simply supported single walled carbon nanotube embedded in an elastic medium with
rotationally restrained boundary conditions is presented via nonlocal elasticity theory. A Fourier sine series
incorporated with Stokes’ transformation is employed for the simulation of single walled carbon nanotube deflections.
The Fourier coefficients for a embedded carbon nanotube having ends with rotational restraints are obtained by the
substitution of deflection function and its derivatives into the governing differential equation. The explicit expressions are
derived for the critical buckling loads by using nonlocal boundary conditions in terms of rotational restraint parameters.
A detailed parametric investigation have been carried out to study the effects of the rotational spring parameters on the
size-dependent stability characteristics of the carbon nanotube.
Keywords
Details
Primary Language
English
Subjects
Engineering
Journal Section
-
Authors
Publication Date
August 19, 2016
Submission Date
August 1, 2016
Acceptance Date
-
Published in Issue
Year 2016 Volume: 8 Number: 2
Cited By
Buckling of elastically restrained nonlocal carbon nanotubes under concentrated and uniformly distributed axial loads
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