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.

摘要： 考虑实际电路元件中压电元件的寄生电阻和运算放大器偏置电流的非理想性对抑制结构振动的影响，建立负电容压电分流理想电路模型与非理想性电路模型的机电耦合系统时域状态方程。利用数值模拟获得耦合系统的位移响应，利用特征值分析获得耦合系统状态矩阵的特征值，对比分析验证寄生电阻导致非理想性压电分流电路的不稳定性，以及运算放大器偏置电流补偿电路对非理想性电路模型稳定性的影响。结果表明，偏置电流补偿电路能更好地控制考虑压电元件寄生电阻的非理想性电路模型的稳定性边界，研究成果可指导负电容压电分流非理想电路模型中偏置电流补偿电路的稳定性设计，提高负电容压电分流电路实际应用中减振能力。

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