中文摘要：

运用压电和结构振动理论，提出一个两端无约束单块压电陶瓷（PZT）作为激振传感器的机电（E／M）阻抗数学模型，用来预测阻抗响应。阻抗响应可以通过实验测得。该模型考虑一维结构的振动，通过分析模型，提出阻抗谱是由轴向、横向、厚度方向的模态相互叠加后的振动所激起。最后通过实验结果和模型计算的比较分析此模型的实际应用性。

英文摘要：

An analytical model based on structural vibration theory and theory of piezoelectricity is developed and used to predict the electromechanical（E/M） impedance response of single free-free PZT active wafer, as it will be measured at the piezoelectric active sensor＇s terminals. The model considers one- dimensional structures vibrations, besides, through analyzing the model, advances that E/M impedance occurr by piling up models vibration of axial, breadth and thickness. At last, calculational curve and experimental curve are compared, in order to adjust and validate correctness of the model.