Thermally induced nonlinear vibration of single-walled carbon nanotubes

Heeyuen Koh, James J. Cannon, Takuma Shiga, Junichiro Shiomi, Shohei Chiashi, Shigeo Maruyama

Research output: Contribution to journalArticlepeer-review

13 Citations (Scopus)


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.

Original languageEnglish
Article number024306
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number2
Publication statusPublished - Jul 27 2015
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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