A model of guided circumferential waves propagating in double-walled carbon nanotubes is built by the theory of wave propagation in continuum mechanics, while the van der Waals force between the inner and outer nanotu...A model of guided circumferential waves propagating in double-walled carbon nanotubes is built by the theory of wave propagation in continuum mechanics, while the van der Waals force between the inner and outer nanotube has been taken into account in the model. The dispersion curves of the guided circumferential wave propagation are studied, and some dispersion characteristics are illustrated by comparing with those of single-walled carbon nanotubes. It is found that in double-walled carbon nanotubes, the guided circumferential waves will propagate in more dispersive ways. More interactions between neighboring wave modes may take place. In particular, it has been found that a couple of wave modes may disappear at a certain frequency and that, while a couple of wave modes disappear, another new couple of wave modes are excited at the same wave number.展开更多
通过对双层厚壁圆筒周向导波的频散现象的研究,以及与单层圆筒周向导波特性的比较,发现周向导波在双层厚壁圆筒中传播时,会发生明显的频散现象和模态干涉现象,其第1阶模态在高频时接近于无频散R ay le igh面波。在其高阶模态上,层间效...通过对双层厚壁圆筒周向导波的频散现象的研究,以及与单层圆筒周向导波特性的比较,发现周向导波在双层厚壁圆筒中传播时,会发生明显的频散现象和模态干涉现象,其第1阶模态在高频时接近于无频散R ay le igh面波。在其高阶模态上,层间效应被弱化,因此,应将层间界面裂纹无损检测的频率激发范围,集中于低阶模态频率上。研究发现,第2阶模态,具有在层间界面上集中能量的特点,因此,可用于层间界面裂纹的周向导波无损检测技术中。展开更多
文摘A model of guided circumferential waves propagating in double-walled carbon nanotubes is built by the theory of wave propagation in continuum mechanics, while the van der Waals force between the inner and outer nanotube has been taken into account in the model. The dispersion curves of the guided circumferential wave propagation are studied, and some dispersion characteristics are illustrated by comparing with those of single-walled carbon nanotubes. It is found that in double-walled carbon nanotubes, the guided circumferential waves will propagate in more dispersive ways. More interactions between neighboring wave modes may take place. In particular, it has been found that a couple of wave modes may disappear at a certain frequency and that, while a couple of wave modes disappear, another new couple of wave modes are excited at the same wave number.
文摘通过对双层厚壁圆筒周向导波的频散现象的研究,以及与单层圆筒周向导波特性的比较,发现周向导波在双层厚壁圆筒中传播时,会发生明显的频散现象和模态干涉现象,其第1阶模态在高频时接近于无频散R ay le igh面波。在其高阶模态上,层间效应被弱化,因此,应将层间界面裂纹无损检测的频率激发范围,集中于低阶模态频率上。研究发现,第2阶模态,具有在层间界面上集中能量的特点,因此,可用于层间界面裂纹的周向导波无损检测技术中。
