Journal of Shanghai University(Natural Science Edition) ›› 2014, Vol. 20 ›› Issue (2): 199-206.doi: 10.3969/j.issn.1007-2861.2013.07.012

• Mathematics.Physics and Chemistry • Previous Articles     Next Articles

Effect of Multiple Boundary Constraints on Vibration Characteristics of Triple-Walled Carbon Nanotubes

WU Bing-jie, PENG Xiang-wu, LIU Liang, WANG Qing-zhan, GUO Xing-ming   

  1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China
  • Online:2014-04-26 Published:2014-04-26

Abstract: Vibration characteristics of triple-walled carbon nanotubes (TWCNTs) with multiple boundary constraints are studied. TWCNTs are modeled as a coupling Euler beam system in which the inner, middle and outer tubes are simulated as 3 single beam, respec- tively. They are coupled through van der Waals interaction. Besides, different boundary conditions are imposed on the three beams. The effect of FFC multiple boundary con- straints on the vibration characteristics of TWCNTs are analyzed. The results show that FFC multiple boundary constraints can reduce resonant frequencies of TWCNTS, espe- cially on the lower modes. Meanwhile, it is also found that this effect will be weakened with the increase of the length of TWCNTs.

Key words:  triple-walled carbon nanotubes, natural frequencies, vibration,  triple-walled carbon nanotubes, natural frequencies, vibration

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