该文研究了1-3-2压电复合材料的厚度振动谐振频率与尺寸的关系。应用压电学和弹性动力学理论建立了机电等效图, 对1-3-2压电复合材料的厚度振动模态进行了机电理论分析, 并对其谐振频率进行了计算。利用有限元仿真软件分析了在厚度振动模态下, 1-3-2压电复合材料谐振频率、反谐振频率与尺寸变化的关系。结果表明, 纵向尺寸比变大时, 频率曲线呈下降趋势; 横向尺寸比变大时, 频率曲线呈上升趋势; 横纵尺寸比变大时, 频率曲线呈缓慢下降趋势; 基底厚度变大时, 频率曲线呈先减小后增大趋势。4种情况中, 纵向尺寸比对于整体的谐振和反谐振频率影响最显著。

The relationship between the thickness vibration resonant frequency and the size of 1-3-2 piezoelectric composites was studied in this paper. Using the theories of piezoelectricity and elastodynamics, the electromechanical equivalent diagram was established, the thickness vibration modes of 1-3-2 piezoelectric composites were analyzed by electromechanical theory, and the resonant frequency was calculated. The finite element simulation software was used to analyze the relationship among the resonant frequency, anti-resonant frequency and the dimensional variation of 1-3-2 piezoelectric composites in the thickness vibration mode. The results show that the frequency curve decreases when the longitudinal dimension ratio increases, the frequency curve increases when the transverse dimension ratio increases, the frequency curve decreases slowly when the ratio of transverse dimension to longitudinal dimension increases. The frequency curve decreases first and then increases when the thickness of the base increases. The longitudinal dimension ratio has the most significant influence on the overall resonant and anti-resonant frequencies in the four cases.