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An analysis of the thickness vibration of an unelectroded doubly-rotated quartz circular plate
Longtao Xie, Shaoyun Wang, Chuanzeng Zhang and Ji Wang The Journal of the Acoustical Society of America 144(2) 814 (2018) https://doi.org/10.1121/1.5050609
Thickness-shear and thickness-twist vibrations of rectangular quartz crystal plates with nonuniform thickness