Overtone Modes in an At-Cut Quartz Trapped-Energy Resonator with Elliptical Electrodes
Long Li and Zhi Wang
School of Mechanics and Engineering Science, Zhengzhou University, Zhengzhou 450001, China
Received: October 28, 2016; In final form: January 6, 2017
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We analyze thickness-shear vibrations of an at-cut quartz plate with elliptical electrodes. The electrodes are essentially optimal in the sense of Mindlin in that they approximately satisfy the criterion for the Bechmann number in every direction. The scalar differential equation derived by Tiersten and Smythe is used which allows us to obtain the overtone modes in addition to the fundamental modes.

DOI: 10.12693/APhysPolA.131.294
PACS numbers/topics: quartz, resonator, thickness-shear vibration, elliptical, overtone modes