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Influence of the axial compression on the natural frequency of AFM probes using double-walled carbon nanotubes with different wall lengths

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Abstract

Carbon nanotubes (CNTs) appear to be ideal tip materials of atomic force microscopy (AFM) due to their small diameter and high stiffness. In this study, double-walled carbon nanotube (DWCNT) structures with different lengths of inner and outer layers are proposed as AFM tips. Both the vibration response and mode shapes of the tipped nanotubes under axial compression are studied by a theoretical nanobeam model. The results show that the natural frequencies of DWCNTs are significantly affected by the compressive loads and the length difference between the inner and outer nanotubes. The natural frequency associated with certain vibrational modes decreases with increasing compressive loads. This research may provide a useful reference for practical design for AFM tips with CNTs.

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Authors and Affiliations

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

    Toshiaki Natsuki

  2. Key Laboratory of Advanced Textile Materials and Manufacturing Technology Ministry of Education, Zhejiang Sci-Tech University, Hangzhou, 310018, People’s Republic of China

    Qing-Qing Ni

  3. Department of Ocean and Mechanical Engineering, Florida Atlantic University, Boca Raton, FL, 33431-0991, USA

    Isaac Elishakoff

Authors
  1. Toshiaki Natsuki
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  2. Qing-Qing Ni
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  3. Isaac Elishakoff
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Correspondence to Toshiaki Natsuki.

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Natsuki, T., Ni, QQ. & Elishakoff, I. Influence of the axial compression on the natural frequency of AFM probes using double-walled carbon nanotubes with different wall lengths. Appl. Phys. A 110, 1–7 (2013). https://doi.org/10.1007/s00339-012-7420-6

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  • DOI: https://doi.org/10.1007/s00339-012-7420-6

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