Vibration mitigation through a nonlinear piezoelectric shunt absorber with 2:1 internal resonance: theory and experiments

Abstract

We present in this work a new semi-passive nonlinear absorber that aims to attenuate the vibrations of an elastic structure under external excitation. The design of the absorber consists of connecting a nonlinear shunt circuit to the host structure via a piezoelectric patch. The shunt circuit is composed of an R-L circuit connected in series with a quadratic nonlinear voltage source, intentionally added to the circuit. The main feature of this absorber is the replacement of the mechanical resonance by an antiresonance with an amplitude independent of the excitation level, and thus, a saturation phenomenon. This feature is a consequence of the two-to-one internal resonance generated by a specific tuning of the electrical resonance frequency. We show in this work the theoretical modeling of the absorber and experimental analysis on a cantilever beam structure in which the saturation phenomenon is detected, leading to a high attenuation level.