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Distortions of thickness shear mode shapes in plano-convex quartz resonators with mass perturbations

机译:具有质量扰动的平凸石英谐振器中厚度剪切模式形状的失真

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摘要

A perturbation technique for calculating the change in mode shape in a plano-convex thickness shear resonator blank due to off-center mass perturbations is developed. The perturbed shape is built as a linear combination of the familiar unperturbed modes and their anharmonics. The change in the location of the average center of the mode is calculated for different contours and different mass perturbation shapes and thicknesses. The results are used to predict changes in the acceleration sensitivity of two-point mounted 10-MHz, third SC-cut resonators when patches of metal film are deposited on the major surfaces off-center. These theoretical results are compared with published experimental results.
机译:开发了一种用于计算由于偏心质量扰动而导致的平凸厚度剪切谐振腔毛坯的模态变化的扰动技术。扰动的形状是熟悉的扰动模式及其非谐波的线性组合。对于不同的轮廓以及不同的质量扰动形状和厚度,计算模式平均中心位置的变化。当金属膜片偏心地沉积在主表面上时,这些结果可用于预测两点安装的10 MHz,第三SC切割谐振器的加速度灵敏度的变化。将这些理论结果与已发表的实验结果进行了比较。

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