Free Vibration of Carbon Nanotube and Boron Nitride Nanotube Double-bonded Modified Couple Stress Theory Timoshenko Micro Beams Under Various Physical Fields

Document Type : Research Article

Authors

Department of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran

Abstract

In this article, free vibration analysis of double-bonded Timoshenko micro beams rested
in an elastic foundation under various physical fields is investigated based on modified couple stress
theory. Properties and distribution of carbon and boron nitride nanotubes are used based on experimental
and analytical equations, which They have a lower error and do not use in other studies. The governing
equations of motions are derived based on Hamilton’s principle. The effects of various parameters such
as electric field, magnetic field, material length scale parameter and elastic foundation modulus on
the natural frequency of the micro structures are studied. The results of this work show that different
physical fields on the microbeams have more influence on the dimensionless natural frequencies, so the
effect of the CNTs on the natural frequencies for micro beams is more than the BNNTs. Moreover, if the
double-bonded micro beams are considered simultaneously as CNT and BNNT, the increase of natural
frequency is less than when two micro-beams become only as CNT or BNNT. Also, it is shown that the
effect of elastic foundation is more important than the electric and magnetic fields as well as material
length scale parameter on the natural frequency of microbeams.

Keywords

Main Subjects

References

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Amirkabir Journal of Mechanical Engineering
Volume 49, Issue 4
March 2018
Pages 709-720

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