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Vibration analysis of carbon nanotube-based resonator using nonlocal elasticity theory

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Abstract

Carbon nanotubes (CNTs) are nanomaterials with extremely favorable mass sensor properties. In this paper, we propose that CNTs under clamped boundary condition and an axial tensile load are considered as CNT-based resonators. Moreover, the resonant frequencies and frequency shifts of the CNTs with attached nanomass are investigated based on vibration analysis, which used the nonlocal Euler–Bernoulli beam model. Using the present methods, we analyze and discuss the effects of the aspect ratio, the concentrated mass and the axial force on the resonant frequency of the CNTs. The results indicate that the CNT beam under the axial tensile loads could provide higher sensitivity as nanomechanical mass sensor.

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Authors and Affiliations

  1. Faculty of Textile Science and Technology, Shinshu University, 3-15-1 Tokida, Ueda, 386-8567, Japan

    Toshiaki Natsuki

  2. Institute of Carbon Science and Technology, Shinshu University, 4-17-1 Wakasato, Nagano, 380-8553, Japan

    Toshiaki Natsuki

  3. Graduate School of Science and Technology, Shinshu University, Tokida, Ueda, 386-8576, Japan

    Nobuhiro Matsuyama

  4. Faculty of Textile Science and Technology, Shinshu University, 3-15-1 Tokida, Ueda-shi, 386-8567, Japan

    Qing-Qing Ni

Authors
  1. Toshiaki Natsuki
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  2. Nobuhiro Matsuyama
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  3. Qing-Qing Ni
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Correspondence to Toshiaki Natsuki.

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Natsuki, T., Matsuyama, N. & Ni, QQ. Vibration analysis of carbon nanotube-based resonator using nonlocal elasticity theory. Appl. Phys. A 120, 1309–1313 (2015). https://doi.org/10.1007/s00339-015-9398-3

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  • DOI: https://doi.org/10.1007/s00339-015-9398-3

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