In this paper, the vibrational behavior of the multiwalled carbon nanotubes (MWCNTs) embedded in elastic media is investigated by a nonlocal shell model. The nonlocal shell model is formulated by considering the small length scales effects, the interaction of van der Waals forces between two adjacent tubes and the reaction from the surrounding media, and a set of governing equations of motion for the MWCNTs are accordingly derived. In contrast to the beam models in the literature, which would only predict the resonant frequencies of bending vibrational modes by taking the MWCNT as a whole beam, the current shell model can find the resonant frequencies of three modes being classified as radial, axial, and circumferential for each nanotube of a MWCNT. Big influences from the small length scales and the van der Waals’ forces are observed. Among these, noteworthy is the reduction in the radial frequencies due to the van der Waals’ force interaction between two adjacent nanotubes. The numerical results also show that when the spring constant of the surrounding elastic medium reaches a certain value, the lowest resonant frequency of the double walled carbon nanotube drops dramatically.
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November 2007
Technical Papers
Vibration Characteristics of Multiwalled Carbon Nanotubes Embedded in Elastic Media by a Nonlocal Elastic Shell Model
Renfu Li,
Renfu Li
Post-Doctoral Fellow
Georgia Institute of Technology
, Atlanta, GA 30332-0150
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George A. Kardomateas
George A. Kardomateas
Professor of Aerospace Engineering
Fellow ASME
Georgia Institute of Technology
, Atlanta, GA 30332-0150
Search for other works by this author on:
Renfu Li
Post-Doctoral Fellow
Georgia Institute of Technology
, Atlanta, GA 30332-0150
George A. Kardomateas
Professor of Aerospace Engineering
Fellow ASME
Georgia Institute of Technology
, Atlanta, GA 30332-0150J. Appl. Mech. Nov 2007, 74(6): 1087-1094 (8 pages)
Published Online: January 2, 2007
Article history
Received:
March 11, 2006
Revised:
January 2, 2007
Citation
Li, R., and Kardomateas, G. A. (January 2, 2007). "Vibration Characteristics of Multiwalled Carbon Nanotubes Embedded in Elastic Media by a Nonlocal Elastic Shell Model." ASME. J. Appl. Mech. November 2007; 74(6): 1087–1094. https://doi.org/10.1115/1.2722305
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