Effects of mass layer dimension on a finite quartz crystal microbalance

被引：0
|
作者：
Y. P. Kong
J. X. Liu
H. J. He
J. S. Yang
机构：
[1] Shijiazhuang Tiedao University,Department of Engineering Mechanics
[2] University of Nebraska,Department of Engineering Mechanics
来源：
Acta Mechanica | 2011年 / 222卷
关键词：
Resonant Frequency; Quartz Crystal Microbalance; Quartz Plate; Crystal Plate; Trap Mode;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we investigate free thickness-shear and thickness-twist vibrations of a finite crystal resonator of AT-cut quartz carrying a thin mass layer at the central portion of its top surface operating as a quartz crystal microbalance. The equations of anisotropic elasticity are used with the omission of the small elastic constant c56. An analytical solution is obtained using Fourier series from which the resonant frequencies, mode shapes and vibration confinement by the mass layer are calculated and examined.
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