A generalized finite element formulation for active vibration control of a laminated plate integrated with piezoelectric polymer layers acting as distributed sensors and actuators is presented. An eight-noded two-dimensional quadratic quadrilateral isoparametric element is derived for modeling the global coupled electroelastic behavior of the overall structure using higher-order shear deformable displacement theory. The procedure is illustrated with a simply supported plate in which the substrate is a symmetric (0/90/0 deg) graphite-epoxy laminate, and the sensor and actuator layers are made of polyvinylidene fluoride. Results show that significant reduction in vibration amplitude occurs because of increased damping through feedback.
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Samanta et al. (1996) studied this question.
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