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Frequency tuning, nonlinearities and mode coupling in circular mechanical graphene resonators
2013
Nanotechnology
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 geometrical nonlinearity these can be modeled by coupled Duffing equations. By solving the Airy stress problem we obtain analytic expressions for eigenfrequencies and nonlinear coefficients as functions of radius, suspension height, initial tension, back-gate voltage and elastic constants, which we compare
doi:10.1088/0957-4484/24/39/395702
pmid:24008430
fatcat:wlekny4sw5amzcl3ywztur2g7a