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

M. X. Shi, Q. M. Li*, B. Liu, X. Q. Feng, Y. Huang

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

17 Scopus citations

Abstract

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.

Original languageEnglish (US)
Pages (from-to)4342-4360
Number of pages19
JournalInternational Journal of Solids and Structures
Volume46
Issue number25-26
DOIs
StatePublished - Dec 15 2009

Keywords

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

ASJC Scopus subject areas

  • Modeling and Simulation
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

Fingerprint Dive into the research topics of 'Atomic-scale finite element analysis of vibration mode transformation in carbon nanorings and single-walled carbon nanotubes'. Together they form a unique fingerprint.

Cite this