Design of inductors with high inductance values for resonant piezoelectric damping

•Vibration damping with passive inductors connected to piezoelectric material.•Maximum current owing through the inductor and resulting magnetic energy.•High inductance values from magnetic cores made of high permeability material.•Criterion to verify that a magnetic core is able satisfy resonant shunt requirements.•Experimental validation involving piezoelectric damping of a beam. The resonant piezoelectric shunt requires specific inductance and resistance values in order to reach an optimum in terms of vibration reduction. Yet, practical limits appear in the low frequency range: the required inductance and the corresponding quality factor are often too high to be satisfied with standard passive components. In this paper, inductors are designed with closed magnetic cores made of high permeability materials. Those components are successively integrated into a piezoelectric shunt dedicated to vibration control of a cantilever beam. It is shown that custom designs can definitely extend the application of passive resonant shunt strategies to lower frequency.