### Abstract

This paper is concerned with the effect of axial load, shear deformation and rotary inertia on wave propagation in double-walled carbon nanotubes (DWCNTs) within terahertz range. Our analysis is based on Timoshenko-beam model and Eulerbeam model. The present models predict some terahertz critical frequencies at which the number of wave speeds changes. In these models the amounts of wave speed is unique only when the frequency is below the lowest critical frequency. When the frequency is equal to the lowest critical frequency, there can be one or two (for CNTs of smaller radii) wave speeds. Furthermore, when the frequency is higher than the lowest critical frequency, more than one wave speed exists and waves of given frequency could propagate at various speeds. It can be seen that rotary inertia and shear deformation have a significant effect on both the wave speeds and the critical frequencies. Hence, terahertz wave propagation in CNTs should be better modeled by Timoshenko-beam model, instead of Euler-beam model.

Original language | English (US) |
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Title of host publication | Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - DETC2005 |

Pages | 433-439 |

Number of pages | 7 |

Volume | 1 A |

State | Published - 2005 |

Externally published | Yes |

Event | DETC2005: ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - Long Beach, CA, United States Duration: Sep 24 2005 → Sep 28 2005 |

### Other

Other | DETC2005: ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference |
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Country | United States |

City | Long Beach, CA |

Period | 9/24/05 → 9/28/05 |

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### ASJC Scopus subject areas

- Engineering(all)

### Cite this

*Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - DETC2005*(Vol. 1 A, pp. 433-439)