New shunting parameter tuning method for piezoelectric damping based on measured electrical impedance

Abstract
A new tuning method for passive piezoelectric damping which is based on the electrical impedance model and maximum dissipated energy is proposed and its validity is investigated. In contrast to the conventional tuning method associated with a mechanical vibration absorber, the proposed method uses the electrical impedance model of which the coefficients of the model are found from the measured impedance data. In the tuning process, the optimal shunt parameters are found for maximizing the dissipated energy at the shunt circuit. A mechanical vibration absorber example proves that the result of the proposed method shows a good agreement with that of the conventional tuning method. Examples of piezoelectric cantilever beams and plates are considered to demonstrate the validity of the proposed method in realistic piezoelectric structures. Since this method is based on measured electrical impedance data, it can be easily applied to arbitrary shapes as well as sizes of piezoelectric structures. Also, the proposed method is applicable for multiple-mode piezoelectric damping with one piezoelectric device. Some remarks concerning realistic implementations are addressed.