Propagation characteristics of Lamb waves in a bilayer plate comprised of a PMN-PT single crystal layer and an elastic layer were investigated in this study. The profiles of the bilayer plate's upper and lower surfaces and the common interface between the PMN-PT and elastic layers were assumed to be periodic corrugation instead of perfect planes. The PMN-PT single crystal was poled along the [0 1 1]c direction with macroscopic symmetry of orthonormal mm2. The dispersion relations of Lamb waves for electrically open and electrically short boundary conditions were derived in the closed form. The effects of the related corrugation parameters and thickness ratios of the PMN-PT single crystal layer to the elastic layer on the phase velocity were assessed using the numerical results. The parameters of the amplitudes and wavenumbers related to the periodic corrugation played key roles in the propagation and dispersion behaviors of the Lamb waves. The phase velocity increased, especially in a lower wavenumber range when the upper or lower surfaces were considered corrugated contours. However, the phase velocity decreased when the common interface was treated as a corrugated configuration. The smaller thickness ratio produced higher phase velocity. These results can provide some fundamental characteristics for the design and application of acoustic wave devices fabricated with PMN-PT single crystals, especially for improving the efficiency and sensitivity.

中文翻译：

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周期性波纹对 PMN-PT 单晶双层板中兰姆波传播的影响

本研究研究了兰姆波在由 PMN-PT 单晶层和弹性层组成的双层板中的传播特性。双层板的上下表面的轮廓以及 PMN-PT 和弹性层之间的公共界面被假定为周期性波纹而不是完美的平面。PMN-PT 单晶沿 [0 1 1] c 方向极化，具有正交 mm2 的宏观对称性。以闭合形式导出了电开路和电短路边界条件下兰姆波的色散关系。使用数值结果评估了相关波纹参数和 PMN-PT 单晶层与弹性层的厚度比对相速度的影响。与周期性波纹相关的振幅和波数参数在兰姆波的传播和色散行为中起关键作用。当上表面或下表面被认为是波纹轮廓时，相速度增加，尤其是在较低波数范围内。然而，当公共界面被视为波纹配置时，相速度会降低。较小的厚度比产生较高的相速度。这些结果可以为用PMN-PT单晶制造的声波器件的设计和应用提供一些基本特性，特别是对于提高效率和灵敏度。尤其是在较低波数范围内，当上表面或下表面被认为是波纹轮廓时。然而，当公共界面被视为波纹配置时，相速度会降低。较小的厚度比产生较高的相速度。这些结果可以为用PMN-PT单晶制造的声波器件的设计和应用提供一些基本特性，特别是对于提高效率和灵敏度。尤其是在较低波数范围内，当上表面或下表面被认为是波纹轮廓时。然而，当公共界面被视为波纹配置时，相速度会降低。较小的厚度比产生较高的相速度。这些结果可以为用PMN-PT单晶制造的声波器件的设计和应用提供一些基本特性，特别是对于提高效率和灵敏度。