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Electroelastic Effect of Thickness Mode Langasite Resonators

机译:厚度模式兰铁石谐振器的电弹性效应

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摘要

Langasite is a very promising material for resonators due to its good temperature behavior and high piezoelectric coupling, low acoustic loss, and high Q factor. The biasing effect for langasite resonators is crucial for resonator design. In this article, the resonant frequency shift of a thickness-mode langasite resonator is analyzed with respect to a direct current (DC) electric field applied in the thickness direction. The vibration modes of a thin langasite plate fully coated with an electrode are analyzed. The analysis is based on the theory for small fields superposed on a bias in electroelastic bodies and the first-order perturbation integral theory. The electroelastic effect of the resonator is analyzed by both analytical and finite-element methods. The complete set of nonlinear elastic, piezoelectric, dielectric permeability, and electrostrictive constants of langasite is used in the theoretical and numerical analysis. The sensitivity of electroelastic effect to nonlinear material constants is analyzed.
机译:兰加斯特因其良好的温度性能,高压电耦合,低声损耗和高Q系数而成为非常有希望的谐振器材料。硅酸镧铁盐谐振器的偏置效应对于谐振器设计至关重要。在本文中,相对于沿厚度方向施加的直流(DC)电场,分析了厚度模式的硅藻土谐振器的谐振频率偏移。分析了完全覆盖有电极的硅酸铝镁薄板的振动模式。该分析基于叠加在电弹性体中的偏置上的小场理论和一阶摄动积分理论。谐振器的电弹性效应通过分析和有限元方法进行分析。在理论和数值分析中使用了全套的非线性弹性,压电,介电常数和电致伸缩常数。分析了电弹性效应对非线性材料常数的敏感性。

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