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首页> 外文期刊>IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control >Constitutive Equations of Piezoelectric Layered Beams With Interdigitated Electrodes
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Constitutive Equations of Piezoelectric Layered Beams With Interdigitated Electrodes

机译:带指状电极的压电层合梁的本构方程

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摘要

This paper establishes the constitutive equations, or linear two-port models, of piezoelectric layered beams with interdigital electrodes (IDEs). The effect of the nontrivial field on the transduction is analyzed. Based on conformal mapping techniques, we derive new analytic expressions for the capacitance, the electric field, and the electromechanical coupling factor of an anisotropic dielectric with the IDE configuration on top. The IDE capacitance with an anisotropic permittivity can be treated as the one with an isotropic permittivity. The complex expression for the nonuniform field is simplified to a quadratic form. A correction is required for the transducer’s coupling constant. All modifications are expressed analytically. The analytic models are verified against the finite element method. Finally, the two-port models help to compare the devices with other electrode configurations, such as beams with a top and bottom electrode.
机译:本文建立了具有叉指式电极(IDE)的压电分层梁的本构方程或线性两端口模型。分析了非平凡场对转导的影响。基于共形映射技术,我们导出了各向异性电介质的电容,电场和机电耦合因子的新解析表达式,其中IDE配置位于顶部。具有各向异性介电常数的IDE电容可被视为具有各向同性介电常数的IDE电容。非均匀字段的复数表达式简化为二次形式。需要对换能器的耦合常数进行校正。所有修改均以分析方式表示。解析模型针对有限元方法进行了验证。最后,两端口模型有助于将器件与其他电极配置进行比较,例如带有顶部和底部电极的电子束。

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