Heireche H, Tounsi A, Benzair A
Département de physique, Université de Sidi Bel Abbés, BP 89 Cité Ben M'hidi, 22000 Sidi Bel Abbés, Algeria.
Nanotechnology. 2008 May 7;19(18):185703. doi: 10.1088/0957-4484/19/18/185703. Epub 2008 Apr 2.
This paper studies the vibrational characteristics of double-walled carbon nanotubes (DWNTs) with initial stress using a nonlocal Euler-Bernoulli beam model. Both the effect of initial stress and the effect of small length scale are discussed in detail. The effect of van der Waals forces is incorporated in the formulation. The corresponding resonant vibrational characteristics are presented in detail; they are shown to be very different from those predicted by classical elasticity theory when nonlocal effects are significant. The influence of initial stress in carbon nanotubes on their flexural vibration modes is dependent on the tension or compression form of the initial stress. The investigation of the effects of initial stress on transverse wave propagation in carbon nanotubes may be used as a useful reference for the application and the design of nanoelectronic and nanodrive devices, nano-oscillators, and nanosensors, in which carbon nanotubes act as basic elements.
本文采用非局部欧拉-伯努利梁模型研究了具有初始应力的双壁碳纳米管（DWNTs）的振动特性。详细讨论了初始应力的影响和小尺度效应。在公式中考虑了范德华力的影响。详细给出了相应的共振振动特性；当非局部效应显著时，它们与经典弹性理论预测的结果有很大不同。碳纳米管中初始应力对其弯曲振动模式的影响取决于初始应力的拉伸或压缩形式。研究初始应力对碳纳米管中横向波传播的影响可为纳米电子和纳米驱动器件、纳米振荡器和纳米传感器的应用和设计提供有用的参考，其中碳纳米管作为基本元件。
