Active vibration suppression of smart laminated beams using layerwise theory and an optimal control strategy

作者：Zabihollah A^*; Sedagahti R; Ganesan R

来源：Smart Materials and Structures, 2007, 16(6): 2190-2201.

DOI：10.1088/0964-1726/16/6/022

Vibration suppression of laminated composite beams using the smart structures concept is presented in the present work. The smart system consists of a laminated composite beam as the host structure and piezoceramic and PVDF patches as the actuation and sensing elements. To treat the material and geometric inhomogeneities through the thickness of the laminated smart structure, a finite element model based on the layerwise displacement theory which incorporates the electro-mechanical coupling effects has been developed. The state space model of the active laminated beam is then used to design the control system. A linear quadratic regulator (LQR) controller is designed to achieve vibration suppression of the laminated smart beam. The effects of the laminate configuration and locations of sensors/actuators on controlled response are investigated. An experimental set-up has been developed to determine the natural frequency and damping factor of the smart laminated beam. The experimental measurements are then used to design a control mechanism with LQR to suppress the vibration response of the system. Open-loop and closed-loop responses of the system have been obtained experimentally and compared with the corresponding simulation results to demonstrate the accuracy and efficiency of the present approach in the vibration control of laminated smart structures.

• 出版日期2007-12