Modelling of shunted piezoceramic actuators with substructure techniques and application to a bladed disk model

In this research a model for the coupling between piezoelectric actuators or sensors and substructures, which are described by the Component Mode Synthesis (CMS) combined with so called Wave Based Substructering (WBS), is presented. The method is applied to a bladed disk model. Therefore, the disk and the blades, which are equipped with two piezoelectric actuators, are described through substructures based on a finite element model. Performing a static analysis of the single substructure using a specific voltage applied to the piezoceramics equivalent excitation forces and coupling factors in the substructure domain can be derived. Further on, the actuator on each blade is excited through an engine order type (EO) excitation. The second piezoelectric actuator is connected to an inductance-resistance network, which is described by one electric degree of freedom. To validate the simulation results, a test rig with a model of a bladed disk with eight blades has been manufactured and equipped with two collocated piezoceramics at each blade.