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建立了变截面压电智能梁的动态模型，分析了表面粘贴压电元件的均质梁的固有频率。在分析中考虑了压电元件和粘结层的影响，同时，还考虑了梁的剪切变形和转动惯量。研究表明，压电元件的刚度和惯量对梁的频率影响很大，粘结层剪切的弹性模量对一阶频率影响较小；当考虑梁的剪切变形和转动惯量时，则对梁的高阶频率影响较大。
The dynamic model of variable cross-section piezoelectric smart beam is established, and the natural frequency of homogeneous beam with piezoelectric element attached on the surface is analyzed. The influence of piezoelectric element and bonding layer was considered in the analysis, and the shear deformation and moment of inertia of the beam were taken into account. The results show that the stiffness and inertia of the piezoelectric element have a great influence on the frequency of the beam. The elastic modulus of the shear layer has little effect on the first-order frequency. When considering the shear deformation and moment of inertia of the beam, Higher-order frequencies have a greater impact.