### Abstract

Original language | English |
---|---|

Pages (from-to) | 96-101 |

Number of pages | 6 |

Journal | Composites Part B: Engineering |

Volume | 47 |

DOIs | |

Publication status | Published - Apr 2013 |

Externally published | Yes |

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### Cite this

*Composites Part B: Engineering*,

*47*, 96-101. https://doi.org/10.1016/j.compositesb.2012.10.043

}

*Composites Part B: Engineering*, vol. 47, pp. 96-101. https://doi.org/10.1016/j.compositesb.2012.10.043

**Vibration analysis of embedded nanotubes using nonlocal continuum theory.** / Wang, Baolin; Wang, Kaifa.

Research output: Contribution to journal › Article › Research › peer-review

TY - JOUR

T1 - Vibration analysis of embedded nanotubes using nonlocal continuum theory

AU - Wang, Baolin

AU - Wang, Kaifa

PY - 2013/4

Y1 - 2013/4

N2 - Vibration of nanotubes embedded in an elastic matrix is investigated by using the nonlocal Timoshenko beam model. Both a stress gradient and a strain gradient approach are considered. The Hamilton’s principle is adopted to obtain the frequencies of the nanotubes. The dependencies of frequency on the stiffness and mass density of the surrounding elastic matrix, the nonlocal parameter, the transverse shear stiffness and the rotary inertia of the nanotubes are obtained. The results show a significant dependence of frequencies on the surrounding medium and the nonlocal parameter. The frequencies are over-predicted by using the Euler beam model that neglects the shear stiffness and rotary inertia of the nanotubes. It is also found that the lower bound and the upper bound for the frequencies of nanotubes are, respectively, provided by the strain gradient model provides and the stress gradient theory. Explicit formulas for the frequency are obtained and therefore are easy to use by material scientists and engineers for the design of nanotubes and nanotubes based composites.

AB - Vibration of nanotubes embedded in an elastic matrix is investigated by using the nonlocal Timoshenko beam model. Both a stress gradient and a strain gradient approach are considered. The Hamilton’s principle is adopted to obtain the frequencies of the nanotubes. The dependencies of frequency on the stiffness and mass density of the surrounding elastic matrix, the nonlocal parameter, the transverse shear stiffness and the rotary inertia of the nanotubes are obtained. The results show a significant dependence of frequencies on the surrounding medium and the nonlocal parameter. The frequencies are over-predicted by using the Euler beam model that neglects the shear stiffness and rotary inertia of the nanotubes. It is also found that the lower bound and the upper bound for the frequencies of nanotubes are, respectively, provided by the strain gradient model provides and the stress gradient theory. Explicit formulas for the frequency are obtained and therefore are easy to use by material scientists and engineers for the design of nanotubes and nanotubes based composites.

U2 - 10.1016/j.compositesb.2012.10.043

DO - 10.1016/j.compositesb.2012.10.043

M3 - Article

VL - 47

SP - 96

EP - 101

JO - Composites Part B: Engineering

JF - Composites Part B: Engineering

SN - 0961-9526

ER -