Optimal shape control of CNT reinforced functionally graded composite plates using piezoelectric patches

This paper presents a first known study of the optimal shape control of carbon nanotube (CNT) reinforced functionally graded composite plates. Piezoelectric patches are bonded to the top and bottom surfaces to act as actuators and sensors. The genetic algorithm (GA) is used to search the optimal actuator voltages and displacement feedback control gains for the shape control of the CNT reinforced functionally graded composite plates. Three types of CNT distributions are researched in this investigation. A higher-order shear deformation theory is applied to evaluate the displacement fields of the plate. The governing equation of the structural system is formulated with the use of Hamilton's principle and the assumed mode method. The effects of shape control on CNT reinforced functionally graded composite plates, by optimizing the voltage distribution for the open-loop control and the displacement feedback control gain for the closed-loop control, are presented. The effects of CNT distributions and plate aspect ratios on optimal shape control results are also investigated.