多重边界约束对三壁碳纳米管振动特性的影响

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

主要研究了三壁碳纳米管在多重边界约束条件下的振动特性.基于Euler梁模型将三壁碳纳米管模拟成三重耦合梁系统,其中管间通过范德华力(van der Waals force)耦合,但内管、中管、外管处于不同的边界约束中,并研究了FFC(feee-free-clamped)型多重边界约束对三壁碳纳米管振动的影响.结果表明,FFC型多重边界约束会导致三壁碳纳米管共振频率的降低,尤其在低阶振动模态上;同时,这种影响会随着碳纳米管长度的增加而减弱.

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,respectively.They are coupled through van der Waals interaction.Besides,different boundary conditions are imposed on the three beams.The effect of FFC multiple boundary constraints on the vibration characteristics of TWCNTs are analyzed.The results show that FFC multiple boundary constraints can reduce resonant frequencies of TWCNTS,especially on the lower modes.Meanwhile,it is also found that this effect will be weakened with the increase of the length of TWCNTs.