Affiliations: Department of Mechanical Engineering, Isfahan
University of Technology, Isfahan, Iran | Department of Engineering, Payame Noor University, Tehran, Iran
Note: [] Corresponding author: R. Hosseini-Ara, Department of
Engineering, Payame Noor University, PO BOX 19395-3697 Tehran, Iran. E-mail:
hosseiniara@gmail.com
Abstract: This study is concerned with the thermal vibration analysis of a
short single-walled carbon nanotube embedded in an elastic medium based on
nonlocal Timoshenko beam model. A Winkler- and Pasternak-type elastic
foundation is employed to model the interaction of short carbon nanotubes and
the surrounding elastic medium. Influence of all parameters such as nonlocal
small-scale effects, high temperature change, Winkler modulus parameter,
Pasternak shear parameter, vibration mode and aspect ratio of short carbon
nanotubes on the vibration frequency are analyzed and discussed. The present
study shows that for high temperature changes, the effect of Winkler constant
in different nonlocal parameters on nonlocal frequency is negligible.
Furthermore, for all temperatures, the nonlocal frequencies are always smaller
than the local frequencies in short carbon nanotubes. In addition, for high
Pasternak modulus, by increasing the aspect ratio, the nonlocal frequency
decreases. It is concluded that short carbon nanotubes have the higher
frequencies as compared with long carbon nanotubes.
Keywords: Short carbon nanotubes, vibration, pasternak effect, high temperature change, nonlocal timoshenko beam
