We theoretically study a doped graphene ribbon suspended over a trench andsubject to an ac-electrical field polarized perpendicularly to the grapheneplane. In such a system, the external ac-field is coupled to the relativelyslow mechanical vibrations via plasmonic oscillations in the isolated graphenesheet. We show that the electrical field generates an effective pumping of themechanical modes. It is demonstrated that in the case of underdamped plasmaoscillation, a peculiar kind of geometrical resonance of the mechanical andplasma oscillations appear. Namely the efficiency of pumping significantlyincreases when the wave number of the mechanical mode is in close agreementwith the wave number of the plasma waves. The intensity of the pumpingincreases with the wave number of the mode. This phenomenon allows selectiveactuation of different mechanical modes although the driving field ishomogeneous.
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