document: Active vibration control of composite sandwich beams with piezoelectric extension-bending and shear actuators We have used quasi-static equations of piezoelectricity to derive a finite element formulation capable of modelling two different kinds of piezoelastically induced actuation in an adaptive composite sandwich beam . This formulation is made to couple certain piezoelectric constants to a transverse electric field to develop extension-bending actuation and shear-induced actuation . As an illustration , we present a sandwich model of three sublaminates : face/core/face . We develop a control scheme based on the linear quadratic regulator/independent modal space control -LRB- LQR/IMSC -RRB- method and use this to estimate the active stiffness and the active damping introduced by shear and extension-bending actuators . To assess the performance of each type of actuator , a dynamic response study is carried out in the modal domain . We observe that the shear actuator is more efficient in actively controlling the vibration than the extension-bending actuator for the same control effort
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extractive_keyphrases: piezoelectricity finite element formulation piezoelastically adaptive composite sandwich beam piezoelectric constants transverse electric field sandwich model sublaminates modal space control active stiffness active damping shear actuators dynamic response modal domain
abstractive_keyphrases: quasi-static equations extension-bending actuation finite element procedure shear-induced actuation linear quadratic regulator extension-bending actuators