Piezoelectric Shunt Damping of a Composite Cylindrical Shell for Non-stationary Stochastic Vibration Control

This paper addresses the non-stationary stochastic vibration of a composite cylindrical shell structure and explores the use of piezoelectric shunt damping as an effective means of vibration control. To this end, resistive-inductive shunt circuits are employed. The electro-mechanical model for the composite cylindrical shell with piezoelectric shunt damping is established using Hamilton’s principle. In order to introduce different boundary conditions, the penalty parameter method is utilized. The non-stationary stochastic vibration response of the electro-mechanical system is obtained through the application of the pseudo-excitation method (PEM) in conjunction with the modified Ritz method. The non-stationary stochastic vibration suppression performance is verified by comparing the dynamic response with and without the piezoelectric shunt damping. To further advance the non-stationary stochastic vibration control capability of piezoelectric shunt damping, this study introduces the negative capacitance to form the negative capacitance shunt circuit (RLNC). The numerical simulation results show that the RLNC has a better vibration suppression effect and advantages in terms of the control bandwidth.