Atomic-scale finite element analysis of vibration mode transformation in carbon nanorings and single-walled carbon nanotubes

作者：Shi M X; Li Q M^*; Liu B; Feng X Q; Huang Y

来源：International Journal of Solids and Structures, 2009, 46(25-26): 4342-4360.

DOI：10.1016/j.ijsolstr.2009.08.024

• Carbon nanotube
• Radial breathing mode
• Circumferential flexural mode
• Mode transformation
• Atomic-scale finite element method

Atomic-scale finite element analyses show that 2:1 internal resonance mechanism exists in a range of single-walled carbon nanorings (10-60). When an initial radial breathing mode (RBM) vibration with sufficiently high velocity is imposed to a nanoring, circumferential flexural modes (CFMs) can be excited after a period of RBM-dominated vibration. Then. mode transformations between RBM and the excited CFMs can be observed in the subsequent vibration process. When single-walled carbon nanorings are assembled to make double- or triple-walled carbon nanorings, the 2:1 internal resonance may change to 1: 1 internal resonance in a specific ring due to the strong interactions between these nanorings. Furthermore, mode transformations between RBM and the excited CFMs can become unstable in a specific ring if the excited CFMs in neighbouring layer rings are not symmetrically matching between each other. 2:1 internal resonance is also shown in selected armchair single-walled carbon nanotubes except in a special case (armchair (9,9)), in which 1:1 internal resonance occurs.

• 出版日期2009-12-15
• 单位西北大学; 长安大学; 清华大学