In this paper, nonlinear vibration characteristics of a viscoelastic microplate under electrostatic actuation have been obtained. The microplate has been assumed as a CNT-reinforced simply supported square plate and an electrostatic actuation applied on it. The nonlinear equations of motion have been derived and solved, by using combined Galerkin method and indeterminate coefficient procedure. Static pull-in instability of the microplate has been also derived. It has been shown that the pull-in voltage, natural frequency and deflection of the system depend on the value of electrostatic actuation and viscoelastic characteristics of the microplate and differ from those obtained in elastic one. So, good selection of composite components (nanotube, base matrix) can result in better controlling of the microplate due to increasing/decreasing of the pull-in voltage.

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