电弹性体力学中的偏场方法及其应用

主要综述了当前有关叠加于偏场之 上的电弹性体小位移问题的求解方法,即偏场方法.首先介绍了作为偏场方法理论基 础的非线性电弹性力学理论,接着总结了偏场方法的研究进展以及 受偏场作用后,电弹性梁、板、壳结构的分析方法,随后综述了偏场方法的诸多应用:其中, 包括在薄壁电弹性结构屈曲分析中的应用、在记时与通信压电谐振器和基于频率漂移原理所 设计的声波传感器的频率稳定性分析方面的应用、在非线性电弹性材料系数的测定以及偏场 作用下电致伸缩陶瓷特征的分析等方面的应用.最后给出了该领域当前和未来的一些可能的 研究课题.全文参考文献166篇.

THE BIASING FIELD METHOD IN ELECTROELASTICITY AND ITS APPLICATION

This article summarizes the new development of small-amplitude motions superposed on finite biasing or initial fields in an electroelastic body, which is called the biasing field method. It begins with a summary of the nonlinear theory of electroelasticity, as the theoretical foundation for the theory of small displacement fields superposed on a bias. The development of the theory for small displacement fields superposed on a bias, and the development of structural theories for electroelastic beams, plates and shells under biasing fields are discussed. Applications of the theory for small displacement fields superposed on biasing fields in the buckling of thin electroelastic structures, frequency stability of piezoelectric resonators for time-keeping and telecommunication, acoustic wave sensors based on frequency shifts due to biasing fields, characterization of nonlinear electroelastic materials by propagation of small-amplitude waves in electroelastic bodies under biasing fields, and electrostrictive ceramics under a biasing electric field are reviewed. A summary of some current and possible future research topics in this field is given. The article contains 166 references.