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Adaptive design of laminated composite plate by using anisotropic piezo polymers

Using the fact that polyvinylidene fluoride polymer (PVDF) has the anisotropic property, a study on adaptive design of the integrated structure was carried out when the PVDF acts as distributed actuators on laminated composite plate. In this study, static, dynamic and control analysis of integrated structure were performed when directionality of both PVDF and composite materials was taken into account. In order to examine the static and dynamic behavior, an efficient finite element method was developed and various numerical verifications were performed. The appropriate combination layer angles of both PVDF and composite material which can induce desired deformed states of the integrated structure were found out. On the basis of results obtained from static and dynamic analysis, control of specific vibration mode of the structure was carried out when PVDF used as distributed actuators. In the paper, an index which can indicate the effectiveness of the actuator to a specific vibration mode of the structure was suggested. This index, named as apriori-modal controllability index, measures the directional cosine of the integrated structural vibration mode and the deformed shape induced by the actuator. To check the usefulness of the suggested index, linear optimal control law known as LQR was applied to control specific vibration mode and the closed, open-loop responses were examined. And the multimode control of the structure with single input was achieved.