Passive control of a periodic structure using a network of periodically-coupled piezoelectric shunt circuits

International audienceThis work proposes a method to synthesize an electrical network which, when coupled to a complex periodic or nearly-periodic structure through an array of piezoelectric transducers, provides multimodal vibration mitigation. The structure is decomposed into multiple substructures and a reduced-order model is built for each of them. From these models, it is possible to synthesize a network with simple algebraic transformations.The link between these transformations and electromechanical modal coupling is derived, and conditions are given in order to guarantee the passivity of the electrical network. The proposed approach is illustrated on a bladed rail, for which damping of one or multiple families of blade modes is demonstrated