Conical shell vibration control with distributed piezoelectric sensor and actuator layer

In this study, a simply supported conical shell with distributed piezoelectric sensor and actuator layers is considered and the shell’s vibration reduction is investigated. Four kinds of piezoelectric layer distribution which are upper circumferential, middle circumferential, lower circumferential, and longitudinal distribution are considered. The output voltage of each piezoelectric sensor patch which is proportional to the shell deformation is calculated. A PD controller is considered which magnifies sensor output voltage and applies it on the allocated piezoelectric actuator patch. By this method the amplitude of conical shell vibration reduced. The effect of a distributed sensor and actuator on the conical shell vibration is evaluated. Controller type, controller constant, sensor/actuator distributions effectiveness on the free vibration response, the frequency response is evaluated. The results show that derivative controllers can affect more on natural frequencies of conical shells and it can increase the damping of the structure. The circumferential distribution can change natural frequencies easily and it has more effects on the dynamic of the conical shell than longitudinal distribution, especially the lower circumferential distribution. The maximum voltage for the piezoelectric actuator patch is also calculated and better distribution with lower actuator voltage and higher vibration reduction is chosen.