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.
Highlights
After seminal work of Iijima [1], many researchers have great interests on dynamic analysis of carbon nanotubes (CNTs), because of their exceptional mechanical, electrical and thermal properties [2,3,4]
It has been shown that the CNTs with extremely high elastic modulus and low mass density can serve as terahertz nano-resonators [5,6,7,8] in nano-electro-mechanical systems (NEMS)
The linear vibration characteristics of a short SWCNT embedded in Pasternak foundation in thermal environments were investigated
Summary
After seminal work of Iijima [1], many researchers have great interests on dynamic analysis of carbon nanotubes (CNTs), because of their exceptional mechanical, electrical and thermal properties [2,3,4]. These properties of CNTs lead to its application in the fields of nano-electronics, nano-devices, nano-composites, etc. Yoon et al [14] studied the vibration behavior of multi-walled carbon nanotubes embedded in an elastic medium using multipleelastic beam model. A nonlocal elastic model for static and dynamic analysis of carbon nanotubes embedded in two-parameter Pasternak foundation applied by Ref. The influences of nonlocal parameter, Winkler and Pasternak shear modulus parameter, high temperature change, aspect ratio and vibration mode on vibration of short carbon nanotubes are discussed
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