变截面智能压电梁的动态特性研究

Study on the Dynamic Property of Section varying Intelligent Piezoelectric Beams

建立变截面智能压电梁的动态模型，分析表面粘贴压电元件的均质梁的固有频率。在分析时考虑到压电元件、粘贴层、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，变截面智能压电梁的一阶固有频率总是高于等截面梁的固有频率。粘结层剪切弹性模量对一阶频率影响较小；考虑梁的剪切变形和转动惯量时，对梁的高阶频率影响较大。考虑梁的转动惯量和剪切变形时，智能阶梯梁的频率比没有考虑时的要低。

The dynamic model of the section-varying intelligent piezoelectric beams with surface bonded piezoelectric element is developed and the natural frequencies are analyzed. In the analysis, the stiffness and inertia of the piezoelectric element and bonding layer are included as well as the shear formation and rotary inertia of the beam. It is shown that the effects of the stiffness and inertia of the piezoelectric element that lead to higher first natural frequency on the natural frequencies of the beam are significant, and that of the elastic modulus of the bonding layer is small. The result also denotes rotary inertia and the shear formation of the beam have significant effect on the high frequencies. The natural frequencies of the intelligent beam with the rotary inertia and shear deformation of the beam are lower than that without those.