Analytical investigation on piezoelectric shunting circuit for resonance suppression of the nonlinear vibration system

Piezoelectric shunting vibration absorber (PSVA) has attracted considerable attention in recent years. Nonlinearity widely exists in practice although a linear host system is the original design intention. What would happen when the predesigned PSVA under the linear host system assumption is applied to those nonlinear vibration systems? To address this issue, a nonlinear host system with a PSVA is constructed. The nonlinear responses of the electromechanical-coupled system are obtained by using the incremental harmonic balance method. Semi-analytical solutions demonstrate that the predesigned shunting circuit under linear host system assumption does not only work effectively but also makes the stability of the host system worse. To suppress the resonant peak of the host system efficiently, the particle swarm algorithm is applied to determine the proper shunting circuit of the PSVA. The performances of the proper PSVA, such as the suppression effects on the resonant peak, and its influence on the stability of the host system are investigated by numerical examples. Together with the parametric analysis, the tuning rule of the shunting circuit is given which can be the guide in the practical application.