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Nonlinear vibration behavior of graphene resonators and their applications in sensitive mass detection

Mai Duc Dai1, Chang-Wan Kim1* and Kilho Eom23*

Author affiliations

1 Department of Mechanical Engineering, Konkuk University, Seoul, 143-701, Republic of Korea

2 Department of Biomedical Engineering, Yonsei University, Wonju, 220-740, Republic of Korea

3 Institute for Molecular Sciences, Seoul, 120-749, Republic of Korea

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Citation and License

Nanoscale Research Letters 2012, 7:499  doi:10.1186/1556-276X-7-499

Published: 4 September 2012


Graphene has received significant attention due to its excellent mechanical properties, which has resulted in the emergence of graphene-based nano-electro-mechanical system such as nanoresonators. The nonlinear vibration of a graphene resonator and its application to mass sensing (based on nonlinear oscillation) have been poorly studied, although a graphene resonator is able to easily reach the nonlinear vibration. In this work, we have studied the nonlinear vibration of a graphene resonator driven by a geometric nonlinear effect due to an edge-clamped boundary condition using a continuum elastic model such as a plate model. We have shown that an in-plane tension can play a role in modulating the nonlinearity of a resonance for a graphene. It has been found that the detection sensitivity of a graphene resonator can be improved by using nonlinear vibration induced by an actuation force-driven geometric nonlinear effect. It is also shown that an in-plane tension can control the detection sensitivity of a graphene resonator that operates both harmonic and nonlinear oscillation regimes. Our study suggests the design principles of a graphene resonator as a mass sensor for developing a novel detection scheme using graphene-based nonlinear oscillators.

Graphene resonator; Mass sensing; Nonlinear oscillation; NEMS