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Analysis of radial breathing mode of vibration of single‐walled carbon nanotubes via doublet mechanics
Author(s) -
FatahiVajari Alireza,
Imam Ali
Publication year - 2016
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.201500160
Subject(s) - vibration , natural frequency , carbon nanotube , materials science , radius , normal mode , mode (computer interface) , mechanics , scale parameter , length scale , physics , acoustics , mathematics , nanotechnology , computer science , operating system , statistics , computer security
This paper investigates the radial breathing mode (RBM) vibration of single‐walled carbon nanotubes (SWCNTs) based on doublet mechanics (DM) with a length scale parameter. A second order partial differential equation that governs the RBM vibration of SWCNTs is derived. Using DM, the relation between natural frequency and length scale parameter is derived in the RBM mode of vibration. It is shown that the length scale parameter plays significant role in the RBM vibration response of SWCNTs. The length scale parameter decreases the natural frequency of vibration compared to the predictions of the classical continuum models. However, with increase in tube radius, the effect of the scale parameter on the natural frequency decreases. The results obtained herein are compared with the existing theoretical and experimental results and good agreement with the latter is observed.