  This work presents a new approach to design an electrical network which, when
coupled to a structure through an array of piezoelectric transducers, provides
multimodal vibration mitigation. The characteristics of the network are
specified in terms of modal properties. On the one hand, the electrical
resonance frequencies are chosen to be close to those of the targeted set of
structural modes. On the other hand, the electrical mode shapes are selected to
maximize the electromechanical coupling between the mechanical and electrical
modes while guaranteeing the passivity of the network. The effectiveness of
this modal-based synthesis is demonstrated using a free-free beam and a fully
clamped plate.
