关键词: 振动与波, 寄生电阻, 特征值分析, 数值模拟仿真, 偏置电流补偿电路, 振动控制

Abstract: Considering the impact of the parasitic resistance of piezoelectric elements and the non-ideal bias current of operational amplifiers on suppressing structural vibrations in practical circuit components, the electromechanical coupling system's time-domain state equations for both the ideal and non-ideal circuit models of negative capacitance piezoelectric shunt circuits were established. The displacement response of the coupling system was obtained through numerical simulation, and the eigenvalue analysis was used to obtain the eigenvalues of the coupling system's state matrix. Comparative analysis verified that the parasitic resistance causes instability in the non-ideal piezoelectric shunt circuit, and the compensation circuit for the bias current of the operational amplifier affects the stability of the non-ideal circuit model. The results indicate that the bias current compensation circuit can better control the stability boundary of the non-ideal circuit model considering the parasitic resistance of the piezoelectric element. This study provides guidance for the stability design of bias current compensation circuits in the non-ideal circuit model of negative capacitance piezoelectric shunt circuits, thereby improving the vibration reduction capability in practical applications of negative capacitance piezoelectric shunt circuits.