Vibration analysis of multi-walled carbon nanotubes embedded in elastic medium

2014 ◽  
Vol 8 (2) ◽  
pp. 151-159 ◽  
Author(s):  
Pattabhi R. Budarapu ◽  
Sudhir Sastry Yb ◽  
Brahmanandam Javvaji ◽  
D. Roy Mahapatra
2011 ◽  
Vol 117-119 ◽  
pp. 1254-1259
Author(s):  
Mei Ling Tian ◽  
Jin Bao Wang ◽  
Xiao Qiao He

Based on an explicit van der Waals (vdW) model, which can reproduce the interaction between any two layers of multi-walled carbon nanotube (MWCNT) and is dependent on the change of interlayer spacing and on the tube radii, the vibration analysis of multi-walled carbon nanotubes is carried out by using of the multi-layered Flugge shells model. The natural frequencies are analyzed in detail for with various radii and number of tubes. Furthermore, the natural frequencies of double-walled carbon nanotube with the innermost radii of 0.6 nm predicted based on the Flugge shell model are well compared with those from the Donnell shell one. The present investigation will be meaningful for the design and application of multi-walled carbon nanotubes as nano- resonators.


Author(s):  
Ming-Hung Hsu

This work describes a novel modelling scheme to elucidate the frequencies of carbon nanotubes via continuum mechanics by considering the van der Waals force interaction based on differential quadrature simulations, in which nanobeam-bending paradigms are utilized. Exactly how the surrounding elastic medium, length-to-radius ratio, and van der Waals forces of the carbon nanotubes affect the frequencies is also investigated. The proposed modelling scheme is highly promising for advanced carbon nanotube applications. Further elucidation of the vibration mechanism of carbon nanotubes embedded in an elastic medium in this work significantly contributes to efforts to design nano oscillators.


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