Stochastic vibration suppression of composite laminated plates based on negative capacitance piezoelectric shunt damping

Abstract

This paper studies the stochastic vibration suppression of the composite laminated plates by using the negative capacitance piezoelectric shunt damping. The energy method and Hamilton’s principle are employed to formulate the dynamic model of the composite laminated plate with negative capacitance piezoelectric shunt damping circuit. The random dynamic response of the coupled system subjected to nonstationary stochastic excitations is further obtained based on the modified Ritz method and pseudo excitation method (PEM). The accuracy of the proposed method is validated by comparing the obtained random results with those from the published literature and satisfactory agreements can be observed between them. Furthermore, the vibration suppression performance of the proposed piezoelectric shunt damping with series negative capacitor or parallel negative capacitor is discussed, respectively. Finally, the effects of key parameters of the piezoelectric shunt damping on the vibration suppression performance are discussed in detail.