An accurate spring-mass finite element model for vibration analysis of single-walled carbon nanotubes

2014 ◽  
Vol 85 ◽  
pp. 121-126 ◽  
Author(s):  
E. Mahmoudinezhad ◽  
R. Ansari ◽  
A. Basti ◽  
M. Hemmatnezhad
2013 ◽  
Vol 22 (6) ◽  
pp. 096369351302200
Author(s):  
S.K. Jalan ◽  
B. Nageswara Rao ◽  
S. Gopalakrishnan

Finite element analysis has been performed to study vibrational characteristics of cantilever single walled carbon nanotubes. Finite element models are generated by specifying the C-C bond rigidities, which are estimated by equating energies from molecular mechanics and continuum mechanics. Bending, torsion, and axial modes are identified based on effective mass for armchair, zigzag and chiral cantilever single walled carbon nanotubes, whose Young's modulus is evaluated from the bending frequency. Empirical relations are provided for frequencies of bending, torsion, and axial modes.


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