Thermally induced nonlinear vibration of single-walled carbon nanotubes
H Koh and JJ Cannon and T Shiga and J Shiomi and S Chiashi and S Maruyama, PHYSICAL REVIEW B, 92, 024306 (2015).
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 Poincare 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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