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A finite-element model based on the classical laminated plate theory is developed for the active vibration control of a composite plate containing distributed piezoelectric sensors and actuators. The formulation is derived from the variational principle. The piezoelectrics' mass and stiffness are taken into account in the present model. A simple negative velocity feedback control algorithm coupling the direct and converse piezoelectric effects is used to actively control the dynamic response of an integrated structure through a closed control loop. The static analysis and active vibration suppression of a cantilever composite plate are performed as a numerical example to verify the proposed model. The modal superposition technique and the Newmark- method are used in the numerical simulation to calculate the dynamic response of the laminated composite plate.
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Lam et al. (1997) studied this question.
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