Frequency tuning, nonlinearities and mode coupling in circular mechanical graphene resonators
Artikel i vetenskaplig tidskrift, 2013

We study circular nanomechanical graphene resonators by means of continuum elasticity theory, treating them as membranes. We derive dynamic equations for the flexural mode amplitudes. Due to the geometrical nonlinearity the mode dynamics can be modeled by coupled Duffing equations. By solving the Airy stress problem we obtain analytic expressions for the eigenfrequencies and nonlinear coefficients as functions of the radius, suspension height, initial tension, back-gate voltage and elastic constants, which we compare with finite element simulations. Using perturbation theory, we show that it is necessary to include the effects of the non-uniform stress distribution for finite deflections. This correctly reproduces the spectrum and frequency tuning of the resonator, including frequency crossings.

electrical readout

membranes

Författare

Martin Eriksson

Chalmers, Teknisk fysik, Kondenserade materiens teori

Daniel Midtvedt

Chalmers, Teknisk fysik, Kondenserade materiens teori

Alexander Croy

Chalmers, Teknisk fysik, Kondenserade materiens teori

Andreas Isacsson

Chalmers, Teknisk fysik, Kondenserade materiens teori

Nanotechnology

0957-4484 (ISSN) 1361-6528 (eISSN)

Vol. 24 srt. no. 395702- 395702

Ämneskategorier

Den kondenserade materiens fysik

DOI

10.1088/0957-4484/24/39/395702