Delayed resonator concept for vibration suppression using piezoelectric networks

Abstract

Delayed resonators (DR) are a class of active vibration absorbers, where resonance in the absorber is achieved through a delayed feedback control. Studies on DR theory so far, have focused on traditional mechanical absorber structures with proof masses. Both in linear and rotational vibration applications, a mechanical substructure is brought to resonance; which, in turn, absorbs vibration from the primary structure. This study is a departure from the existing literature in the sense that the mechanical absorber structure is replaced by an electrical circuit that resonates. The tuning is achieved by the use of piezoelectric elements, which introduce a coupling between the mechanical and electrical components in the system. The resonance and desired vibration absorption are still the objectives but with a distinct feature, ‘without a proof mass’. This work unites the two fronts of research from this interesting angle, namely DR theory and piezoelectric networks, to benefit from their individual strengths.