TY - JOUR
T1 - Thermally induced nonlinear vibration of single-walled carbon nanotubes
AU - Koh, Heeyuen
AU - Cannon, James J.
AU - Shiga, Takuma
AU - Shiomi, Junichiro
AU - Chiashi, Shohei
AU - Maruyama, Shigeo
N1 - Publisher Copyright:
© 2015 American Physical Society. ©2015 American Physical Society.
Copyright:
Copyright 2015 Elsevier B.V., All rights reserved.
PY - 2015/7/27
Y1 - 2015/7/27
N2 - The thermally induced nonlinear vibration of single-walled carbon nanotubes (SWNTs) was investigated, focusing on the peak broadening and/or multiple peaks of the frequency spectra. From Poincaré maps of SWNT tip trajectories, we observed two distinguishable patterns of vibration: planar and nonplanar (whirling) motion which appeared repeatedly. The alternation of the pattern is sometimes accompanied by a change of rotational direction. Proposed approximate solutions of nonlinear beam equations can reproduce well the alternation of the patterns for both cantilevered and suspended SWNTs. By using this analytical approach, we have found that multiple peaks of experimentally observed frequency spectra are due to the repeated and sudden alternations of two modes, induced by nonlinear effects.
AB - The thermally induced nonlinear vibration of single-walled carbon nanotubes (SWNTs) was investigated, focusing on the peak broadening and/or multiple peaks of the frequency spectra. From Poincaré maps of SWNT tip trajectories, we observed two distinguishable patterns of vibration: planar and nonplanar (whirling) motion which appeared repeatedly. The alternation of the pattern is sometimes accompanied by a change of rotational direction. Proposed approximate solutions of nonlinear beam equations can reproduce well the alternation of the patterns for both cantilevered and suspended SWNTs. By using this analytical approach, we have found that multiple peaks of experimentally observed frequency spectra are due to the repeated and sudden alternations of two modes, induced by nonlinear effects.
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U2 - 10.1103/PhysRevB.92.024306
DO - 10.1103/PhysRevB.92.024306
M3 - Article
AN - SCOPUS:84938926772
SN - 1098-0121
VL - 92
JO - Physical Review B - Condensed Matter and Materials Physics
JF - Physical Review B - Condensed Matter and Materials Physics
IS - 2
M1 - 024306
ER -