Journal
JOURNAL OF NANO RESEARCH
Volume 54, Issue -, Pages 1-14Publisher
TRANS TECH PUBLICATIONS LTD
DOI: 10.4028/www.scientific.net/JNanoR.54.1
Keywords
differential transform method; nanotubes; nano composite; vibration; Winkler; nonlocal
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In this paper, based on nonlocal Euler- Bernoulli beam model with arbitrary boundary conditions a simulation method called the Differential Transform Method (DTM) is employed to predict and to analysis the vibration of a single-walled carbon nanotube embedded in an elastic medium under thermal effect. A Winkler type elastic foundation is employed to model the interaction of carbon nanotube and the surrounding elastic medium. Ferstly, the Differential Transform Method is introduced. The research work reveals the significance of the small-scale coefficient, the vibrational mode number and the elastic medium on the non-dimensional natural frequency.
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