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 language | English (US) |
|---|---|
| Pages (from-to) | 4342-4360 |
| Number of pages | 19 |
| Journal | International Journal of Solids and Structures |
| Volume | 46 |
| Issue number | 25-26 |
| DOIs | |
| State | Published - Dec 15 2009 |
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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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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, Y.
In: International Journal of Solids and Structures, Vol. 46, No. 25-26, 15.12.2009, p. 4342-4360.Research output: Contribution to journal › Article
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, Y.
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.
KW - Atomic-scale finite element method
KW - Carbon nanotube
KW - Circumferential flexural mode
KW - Mode transformation
KW - Radial breathing mode
UR - http://www.scopus.com/inward/record.url?scp=70350122907&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=70350122907&partnerID=8YFLogxK
U2 - 10.1016/j.ijsolstr.2009.08.024
DO - 10.1016/j.ijsolstr.2009.08.024
M3 - Article
AN - SCOPUS:70350122907
VL - 46
SP - 4342
EP - 4360
JO - International Journal of Solids and Structures
JF - International Journal of Solids and Structures
SN - 0020-7683
IS - 25-26
ER -