Higher-Order Theories of Piezoelectric Plates and Applications
Higher-Order Theories of Piezoelectric Plates and Applications
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DOI：
10.1115/1.3097341
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发表时间：
2000-04
影响因子：
14.3
通讯作者：
Ji Wang;Jia-shi Yang
中科院分区：
文献类型：
--
作者：
Ji Wang;Jia-shi Yang
本文综述了压电板动力学分析的高阶理论的发展，并介绍了它们的应用，特别是在晶体谐振器中的应用。根据位移分量和电势如何假设通过板厚度变化，对理论进行分类。最大的注意力已经给予普通的多项式变化，特别是RD Mindlin和HF Tiersten及其同事的努力。使用三角级数表示法也取得了相当大的进展，特别是由PCY Lee和他的同事。勒让德多项式和正常模式展开也已开发。分析和有限元方法处理的问题进行了说明。本条目共174篇。
This review article summarizes the development of higher order theories for the dynamic analysis of piezoelectric plates, and describes their applications, especially for crystal resonators. The theories are categorized according to how the displacement components and electric potential are assumed to vary through the plate thickness. The greatest attention has been given to ordinary polynomial variations, especially the efforts of RD Mindlin and HF Tiersten and their coworkers. Considerable progress has also been made using trigonometric series representations, especially by PCY Lee and his coworkers. Legendre polynomial and normal mode expansions have also been developed. Both analytical and finite element methods of dealing with problems are described. The article contains 174 references.