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Five-mode frequency spectra of x3-dependent modes in AT-cut quartz resonators

机译:AT切石英谐振器中x 3 依赖模式的五模频谱

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摘要

We study straight-crested waves and vibration modes with variations along the x3 direction only in an AT-cut quartz plate resonator near the operating frequency of the fundamental thickness-shear mode. Mindlin's two-dimensional equations for anisotropic crystal plates are used. Dispersion relations and frequency spectra of the five relevant waves are obtained. It is found that, to avoid unwanted couplings between the resonator operating mode and other undesirable modes, in addition to certain known values of the plate length/thickness ratio that need to be avoided, an additional series of discrete values of the plate length/thickness ratio also must be excluded.
机译:我们仅在基本厚度剪切模式的工作频率附近的AT切割石英板谐振器中研究沿x 3 方向变化的直波和振动模式。使用Mindlin的各向异性晶体板二维方程。得到了五个相关波的色散关系和频谱。已经发现,为了避免谐振器工作模式与其他不期望的模式之间的不希望的耦合,除了需要避免的板长/厚度比的某些已知值之外,还增加了一系列的板长/厚度的离散值。比率也必须排除在外。

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