功能梯度压电圆柱形换能器的振动特性

Proceedings of the 2014 Symposium on Piezoelectricity, Acoustic Waves, and Device Applications Pub Date : 2014-12-29 DOI:10.1109/SPAWDA.2014.6998620

Hui-ming Wang, D. Luo

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引用次数: 0

摘要

给出了功能梯度压电圆柱形换能器径向振动特性的精确解。假设材料的质量密度、弹性常数、压电常数和介电常数是径向位置的幂律函数。材料的质量密度非均匀性指数可以不同于弹性常数、压电常数和介电常数。一般解是用贝塞尔函数表示的。利用得到的一般解和边界条件，导出了谐振频率和反谐振频率的特征方程。算例表明，可以通过调节材料的非均匀性指数来调节功能梯度压电圆柱形换能器的振动特性。

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Vibration characteristics of functionally graded piezoelectric cylindrical transducers

An exact solution is developed for the radial vibration characteristics of functionally graded piezoelectric cylindrical transducers. The material properties, such as mass density, elastic, piezoelectric and dielectric constants, are assumed to be the power-law functions of radial position. The material nonhomogeneity index of mass density can be different from that of elastic, piezoelectric and dielectric constants. General solutions are obtained in terms of Bessel functions. The characteristics equations for the resonant and anti-resonant frequencies are derived by employing the obtained general solutions and the boundary conditions. The illustrative examples show that the vibration characteristics of functionally graded piezoelectric cylindrical transducers can be tuned by adjusting the material nonhomogeneity index.

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Proceedings of the 2014 Symposium on Piezoelectricity, Acoustic Waves, and Device Applications

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