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首页> 外文期刊>IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control >Two-dimensional analysis using one-dimensional FEM forstraight-crested waves in arbitrary anisotropic crystal plates andaxisymmetric piezoelectric vibrations in ceramic disks
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Two-dimensional analysis using one-dimensional FEM forstraight-crested waves in arbitrary anisotropic crystal plates andaxisymmetric piezoelectric vibrations in ceramic disks

机译：使用一维有限元法对任意各向异性晶体板中的直波和陶瓷盘中的轴对称压电振动进行二维分析

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摘要

We have developed a hybrid method applicable to straight-crestednwaves in arbitrary anisotropic crystal plates and to axisymmetricnpiezoelectric vibrations in ceramic disks. The solutions tontwo-dimensional (2-D) equations of motion are described with a linearncombination of eigenmodes guided by a pair of parallel edges. The guidedneigenmodes and their amplitudes are determined by using one-dimensionaln(1-D) finite element method (FEM). The method developed here providesnrapid convergence with small matrix size compared with 2-D FEM. Computernprograms have been developed for three examples, SC- and AT-cut quartznplates and barium titanate (BaTiO3) disks, for which thenfrequency spectra and the corresponding mode shapes were calculated. Thenfrequency spectra of AT-cut quartz plates are compared with thosenobtained from Mindlin's plate equations, with the aim of examining thenaccuracy of the straight-crested wave solutions for Mindlin's platenequations. A convergence study is also presented for BaTiO3ndisks
机译：我们已经开发出一种混合方法，适用于任意各向异性晶体板中的直增波以及陶瓷盘中的轴对称压电振动。用由一对平行边引导的本征模线性组合描述了运动的二维（2-D）方程解。使用一维n（1-D）有限元方法（FEM）确定引导本征模及其幅度。与2-D FEM相比，此处开发的方法提供了矩阵尺寸小的快速收敛。已经为三个示例开发了计算机程序，分别是SC切割和AT切割的石英板和钛酸钡（BaTiO3）盘，然后针对它们计算了频谱和相应的模式形状。然后将AT切割石英板的频谱与从Mindlin板方程得到的频谱进行比较，以检验Mindlin板方程的直波解的准确性。还对BaTiO3ndisks进行了收敛研究

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