TY  - EJOU
AU  - Xie, G. Q.  
AU  - Long, S. Y.  

TI  - Elastic Vibration Behaviors Oof Carbon Nanotubes Based on Micropolar Mechanics
T2  - Computers, Materials \& Continua

PY  - 2006
VL  - 4
IS  - 1
SN  - 1546-2226

AB  - The concept of the micropolar theory is employed to investigate vibration behaviors of carbon nanotubes. The constitutive relation has been deduced from the two-dimensional analysis of the microstructure of the carbon nanotube. Van der Waals interactions are simulated by a weak spring model. Hamilton's principle is employed to obtain dynamics equations of the multi-walled carbon nanotube. Numerical examples for both single-walled and double-walled carbon nanotubes are presented and the significant difference in vibration behaviors between them has been distinguished. Numerical results show that fundamental frequencies for the cantilever single-walled carbon nanotube decreases with increase of the aspect ratio of them, and the fundamental frequencies of the double-walled carbon nanotube are lower than those of the single-walled carbon nanotube with the same inner diameter and length. The first four natural frequencies for the double-walled carbon are coaxial.
KW  - Vibration
KW  -  Carbon nanotubes
KW  -  Micropolar mechanics
KW  -  Hamilton's principle

DO  - 10.3970/cmc.2006.004.011