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Active control of the nonlinear static and dynamic responses for piezoelectric viscoelastic microplates

In this paper, based on the standard solid model and von Kármán’s plate theory, active control of the nonlinear static and dynamic responses for electrically actuated piezoelectric viscoelastic microplates is investigated by applying a purely direct current (DC) voltage and a combined DC voltage and alternating current (AC) voltage. In the former case, the concepts of instantaneous pull-in voltage, durable pull-in voltage, creep pull-in and delay pull-in time are set up. The effect of the controlling voltage on them is also discussed. In the latter case, the effect of the element relaxation coefficient on the free vibration and forced vibration is investigated. The effect of the controlling voltage on them is also shown.