Experimental characterization of graphene by electrostatic resonance frequency tuning

Experimental characterization of graphene by electrostatic resonance frequency tuning

Sajadi, B. (TU Delft Computational Design and Mechanics; TU Delft Dynamics of Micro and Nano Systems)
Alijani, F. (TU Delft Dynamics of Micro and Nano Systems)
Davidovikj, D. (TU Delft QN/Steeneken Lab)
Goosen, J.F.L. (TU Delft Computational Design and Mechanics)
Steeneken, P.G. (TU Delft Dynamics of Micro and Nano Systems; TU Delft QN/Steeneken Lab)
van Keulen, A. (TU Delft Computational Design and Mechanics)

2017

In the last decade, graphene membranes have drawn tremendous attention due to their potential application in Nano-Electro-Mechanical Systems. In this paper, we show that the frequency response curves of graphene resonators are powerful tools for their dynamic characterization and for extracting their equivalent Young's modulus. For this purpose, vibrations of an electrostatically actuated circular graphene membrane are studied both experimentally and numerically. The experiments reveal the dependency of the linear and nonlinear resonance frequency of the nano-resonator on the driving DC and AC voltages. A numerical model is proposed based on the nonlinear membrane theory, and by fitting the numerically calculated change in resonance frequency due to the DC voltage to those of the experimental observations, the Young's modulus is determined. It is shown that by using the obtained equivalent Young's modulus, the numerical model can accurately describe the nonlinear dynamics of the graphene membrane in other sets of measurements.

Graphene
Electrostatics
Elastic moduli
Numerical
Nanoelectromechanical systems

http://resolver.tudelft.nl/uuid:b24cc680-7cf1-4ebf-859a-02b7bf07212c

https://doi.org/10.1063/1.4999682

2018-12-19

0021-8979

Journal of Applied Physics, 122 (23)

Institutional Repository

journal article

© 2017 B. Sajadi, F. Alijani, D. Davidovikj, J.F.L. Goosen, P.G. Steeneken, A. van Keulen