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, Yonggang Huang

*Corresponding author for this work

Research output: Contribution to journalArticle

16 Citations (Scopus)

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

Fingerprint

Nanorings
Internal Resonance
Single-walled Carbon Nanotubes
Single-walled carbon nanotubes (SWCN)
vibration mode
Carbon
carbon nanotubes
Finite Element
Finite element method
carbon
breathing
Ring
Vibration
rings
Unstable
Interaction
Range of data
vibration

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

Cite this

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title = "Atomic-scale finite element analysis of vibration mode transformation in carbon nanorings and single-walled carbon nanotubes",
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.",
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author = "Shi, {M. X.} and Li, {Q. M.} and B. Liu and Feng, {X. Q.} and Yonggang Huang",
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Atomic-scale finite element analysis of vibration mode transformation in carbon nanorings and single-walled carbon nanotubes. / Shi, M. X.; Li, Q. M.; Liu, B.; Feng, X. Q.; Huang, Yonggang.

In: International Journal of Solids and Structures, Vol. 46, No. 25-26, 15.12.2009, p. 4342-4360.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Atomic-scale finite element analysis of vibration mode transformation in carbon nanorings and single-walled carbon nanotubes

AU - Shi, M. X.

AU - Li, Q. M.

AU - Liu, B.

AU - Feng, X. Q.

AU - Huang, Yonggang

PY - 2009/12/15

Y1 - 2009/12/15

N2 - 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.

AB - 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.

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