Abstract
Because of its light weight, broadband, and adaptable properties, smart material has been widely applied in the active vibration control (AVC) of flexible structures. Based on a first-order shear deformation theory, by coupling the electrical and mechanical operation, a 4-node quadrilateral piezoelectric composite element with 24 degrees of freedom for generalized displacements and one electrical potential degree of freedom per piezoelectric layer was derived. Dynamic characteristics of a beam with discontinuously distributed piezoelectric sensors and actuators were presented. A linear quadratic regulator (LQR) feedback controller was designed to suppress the vibration of the beam in the state space using the high precise direct (HPD) integration method.
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