Vibration analysis of a viscousfluidconveying singlewalled carbon nanotube embedded in an elastic medium
Abstract
This paper analyzes the influences of nonlocal effect, viscosity effect, aspect ratio, and elastic medium constant on the fundamental frequency of a viscousfluidconveying singlewalled carbon nanotube (SWCNT) embedded in an elastic medium. According to the analysis, the results show that the nonlocal effect on the frequency becomes significant as the flow velocity of viscous fluid decreases. As the value of dimensionless nonlocal parameter decreases, the frequency of SWCNT increases under the same velocity conditions. In addition, the viscosity effect on the frequency of SWCNT becomes significant as the flow velocity of viscous fluid increases. Under the same velocity conditions, the frequency increases as the values of the viscous parameter, the aspect ratio, and the elastic medium constant increase. Furthermore, it can also be found that a SWCNT embedded in a stiff matrix with a large aspect ratio conveying a highly viscous fluid makes the phenomenon of vibrationinduced flutter instability delay to occur until a higher flow velocity.
 Publication:

Physica E LowDimensional Systems and Nanostructures
 Pub Date:
 February 2009
 DOI:
 10.1016/j.physe.2008.10.002
 Bibcode:
 2009PhyE...41..529L
 Keywords:

 47.61.Cb;
 61.46.Fg;
 62.25.Jk;
 63.22.Gh;
 Noncontinuum effects;
 Nanotubes;
 Mechanical modes of vibration;
 Nanotubes and nanowires