The mechanisms of piezoelectric networks were further analyzed for the vibration reduction of cyclic periodic structures such as bladed disks. To illustrate how the energy dissipation and energy balance mechanisms affect the reduction of vibration

numerical studies were conducted based on a lumped parameter model to compare the performance of shunt circuits

parallel network and series network. The best damping performance of such three circuits were compared in both tuned and mistuned cases with varied mistune strength. This illustrated the effects of the energy dissipation. The resistance was introduced to the acyclic network to illustrate the combined action of energy balance and energy dissipation. The qualitative suggestions on the choice of blades to construct an acyclic network was given as well. Results showed that interconnecting all blades to a global piezoelectric network cannot increase the damping performance. The optimal networks were found with only few blades included and without any electric impedance

and this illustrated the effects of energy balance. Vibration reduction can be achieved by only interconnecting few blades (2 or 4 of the overall 24 blades) into the network without any electric components.