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Electronics 2015, 4(4), 723-738;

Theoretical Analysis of Vibration Frequency of Graphene Sheets Used as Nanomechanical Mass Sensor

Faculty of Textile Science and Technology, Shinshu University, 3-15-1 Tokida, Ueda-shi 386-8567, Japan
Institute of Carbon Science and Technology, Shinshu University, 4-17-1 Wakasato, Nagano 380-8553, Japan 
Academic Editor: Frank Schwierz
Received: 8 April 2015 / Revised: 21 July 2015 / Accepted: 21 August 2015 / Published: 28 September 2015
(This article belongs to the Special Issue Two-Dimensional Electronics - Prospects and Challenges)
Full-Text   |   PDF [418 KB, uploaded 28 September 2015]   |  


Nanoelectromechanical resonator sensors based on graphene sheets (GS) show ultrahigh sensitivity to vibration. However, many factors such as the layer number and dimension of the GSs will affect the sensor characteristics. In this study, an analytical model is proposed to investigate the vibration behavior of double-layered graphene sheets (DLGSs) with attached nanoparticles. Based on nonlocal continuum mechanics, the influences of the layer number, dimensions of the GSs, and of the mass and position of nanoparticles attached to the GSs on the vibration response of GS resonators are discussed in detail. The results indicate that nanomasses can easily be detected by GS resonators, which can be used as a highly sensitive nanomechanical element in sensor systems. A logarithmically linear relationship exists between the frequency shift and the attached mass when the total mass attached to GS is less than about 1.0 zg. Accordingly, it is convenient to use a linear calibration for the calculation and determination of attached nanomasses. The simulation approach and the parametric investigation are useful tools for the design of graphene-based nanomass sensors and devices. View Full-Text
Keywords: graphene sheet; nonlocal elasticity theory; vibration; nanosensor graphene sheet; nonlocal elasticity theory; vibration; nanosensor

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Natsuki, T. Theoretical Analysis of Vibration Frequency of Graphene Sheets Used as Nanomechanical Mass Sensor. Electronics 2015, 4, 723-738.

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