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Applied Physics Letters / Volume 96 / Issue 9 / NANOSCALE SCIENCE AND DESIGN

Appl. Phys. Lett. 96, 093105 (2010); http://dx.doi.org/10.1063/1.3332579 (3 pages)

Frequency analysis of nanotubes with consideration of surface effects

Behrooz Farshi, Abbas Assadi, and Ali Alinia-ziazi

Department of Mechanical Engineering, Iran University of Science and Technology, Tehran 16844, Iran

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(Received 23 December 2009; accepted 3 February 2010; published online 2 March 2010)

Consideration of surface effects in microscaled and nanoscaled materials is important for accurate prediction of their dynamic behavior. In this study, the Timoshenko beam model is modified to include the surface effects and used to analyze the vibration of nanotubes as well as calculate their natural frequencies. The thin surface layers have been taken into account for rotary inertia computation. Through an example it is shown that dynamic behavior of nanoscaled tubes with consideration of surface effects considerably deviates from the results obtained by classical theories. Plots illustrating such deviations are given to support the conclusions.

© 2010 American Institute of Physics

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KEYWORDS and PACS

Keywords

internal stresses, nanotubes, shear modulus, surface energy, vibrational modes

PACS

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.3332579

PUBLICATION DATA

ISSN

0003-6951 (print)  
1077-3118 (online)

Publisher

$abstract.society.value is a Member of CrossRef American Institute of Physics

For access to fully linked references, you need to log in.
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