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Open AccessFeature PaperArticle

Analysis of Vibration Frequency of Carbon Nanotubes used as Nano-Force Sensors Considering Clamped Boundary Condition

1
Faculty of Textile Science and Technology, Shinshu University, 3-15-1 Tokida, Ueda-shi 386-8567, Japan
2
Research Initiative for Supra-Materials, Shinshu University, 4-17-1 Wakasato, Nagano 380-8553, Japan
3
Graduate School of Science and Technology, Shinshu University, 3-15-1 Tokida, Ueda-shi 386-8567, Japan
*
Author to whom correspondence should be addressed.
Electronics 2019, 8(10), 1082; https://doi.org/10.3390/electronics8101082
Received: 3 September 2019 / Revised: 20 September 2019 / Accepted: 23 September 2019 / Published: 24 September 2019
(This article belongs to the Section Semiconductor Devices)
Carbon nanotubes (CNTs) can be used as atomic force microscope (AFM) probes since they are ideal tip materials with a small diameter, high aspect ratio, and stiffness. In this study, a model of CNTs clamped in an elastic medium is proposed as nanoscale force sensing AFM probes. The relationship between vibration frequency and axial force of the CNT probe clamped in an elastic medium is analyzed based on the Euler-Bernoulli beam model and the Whitney-Riley model. The clamped length of CNTs, and the elastic modulus of elastic medium affect largely on the vibration and the buckling stability of a CNT AFM probe. The result showed that the sensitivity to vibration increases as the applied loads increase. The critical load in which the vibration frequency decreases rapidly, moving to large ones with decreasing ratio of length to diameter of CNTs. The theoretical investigation on the vibration frequency of CNT loaded in the axial direction would give a useful reference for designing a CNT used as a nano-force sensor. View Full-Text
Keywords: carbon nanotubes; vibration frequency; nano sensor; modeling; simulation carbon nanotubes; vibration frequency; nano sensor; modeling; simulation
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Natsuki, T.; Urakami, K. Analysis of Vibration Frequency of Carbon Nanotubes used as Nano-Force Sensors Considering Clamped Boundary Condition. Electronics 2019, 8, 1082.

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