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首页> 外文期刊>IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control >An approximated 3-D model of cylinder-shaped piezoceramic elementsfor transducer design
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An approximated 3-D model of cylinder-shaped piezoceramic elementsfor transducer design

机译：用于换能器设计的圆柱压电陶瓷元件的近似3-D模型

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In this paper an approximated 3-D model of cylinder shapednpiezoceramics is described. In the hypothesis of axial symmetry, thenelement vibration in the extensional and radial directions is describednby two coupled differential wave equations. The model is obtainednchoosing, as solution of these equations, two orthogonal wave functions,neach depending only on one axis, corresponding to the propagationndirection. The mechanical boundary conditions are applied imposingncontinuity between the stresses and the external forces on the surfacesnof the element in an integral way, while, as far as the electricalnboundary condition is concerned, two possibilities are explored: tonneglect the piezoelectric constant in the transverse direction and tonimpose an integral condition also for the electric field. Comparisonsnwith experimental results show this last approach to give betternresults. The model predicts with sufficient accuracy only the firstnradial and the first thickness modes of the cylinder-shaped piezoceramicnelement of arbitrary aspect ratio; but, for these modes, it is able toncompute all the relations between the input applied voltage and thenoutput forces and velocities on every external surface. Because onlynthese two modes are of relevance in the practical applications ofnpiezoceramic elements as ultrasonic transducers, the model can be usednas a simple and useful tool in transducer design and optimization.nExperimental validations of the model are also shown in the work
机译：在本文中，描述了圆柱型压电陶瓷的近似3-D模型。在轴向对称的假设中，通过两个耦合的微分波方程描述了在径向和径向上的基本振动。通过选择两个正交波函数作为这些方程的解而获得模型，两个正交波函数仅取决于与传播方向相对应的一个轴。施加机械边界条件以整体方式将应力和外力连续地施加在元件表面上，而就电边界条件而言，探索了两种可能性：横向忽略压电常数并施加电场也是不可或缺的条件。与实验结果的比较表明，最后一种方法可以提供更好的结果。该模型仅以足够的精度预测任意纵横比的圆柱状压电陶瓷元件的第一径向模式和第一厚度模式。但是，对于这些模式，它可以toncomp计算输入施加电压与每个外表面上的输出力和速度之间的所有关系。因为只有这两种模式在作为压电换能器的压电陶瓷元件的实际应用中相关，所以该模型可以用作换能器设计和优化的简单而有用的工具。工作中还显示了该模型的实验验证

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