The calculation of electrical parameters of overtone thickness-shear quartz crystal resonators with the higher-order Mindlin plate equations

2010 ◽  
Author(s):  
Ji Wang ◽  
Lijun Yang ◽  
Jianke Du ◽  
Dejin Huang
Keyword(s):  
Quartz Crystal ◽  
Higher Order ◽  
Mindlin Plate ◽  
Electrical Parameters ◽  
Plate Equations ◽  
Quartz Crystal Resonators ◽  
Thickness Shear

scholarly journals Bechmann’s Number for Harmonic Overtones of Thickness-Shear Vibrations of Rotated Y-Cut Quartz Crystal Plates

Coatings ◽  
2020 ◽  
Vol 10 (7) ◽  
pp. 667
Author(s):  
Han Zhang ◽  
Yumei Chen ◽  
Ji Wang
Keyword(s):  
Experimental Data ◽  
Wave Propagation ◽  
Quartz Crystal ◽  
Three Dimensional ◽  
Approximate Solutions ◽  
Superior Performance ◽  
Shear Modes ◽  
Practical Experiences ◽  
Quartz Crystal Resonators ◽  
Thickness Shear

A procedure based on approximate solutions of three-dimensional equations of wave propagation is utilized for calculating Bechmann’s number for the harmonic overtones of thickness-shear modes in the rotated Y-cut quartz crystal plates. Bechmann’s number is used for the optimization and improvement of electrodes to yield superior performance in the design of quartz crystal resonators. Originally, Bechmann’s number is found through practical experiences, and analytical results were provided afterward to enable optimal design of novel resonator structures. The outcomes in this study are from a simplified theoretical prediction and they are consistent with known empirical results, making it is possible to design optimal quartz crystal resonators for cases without adequate experimental data for a higher frequency and smaller size.

Thickness shear mode quartz crystal resonators with optimized elliptical electrodes

2011 ◽  
Vol 20 (4) ◽  
pp. 047701 ◽  
Author(s):  
Ting-Feng Ma ◽  
Chao Zhang ◽  
Xiao-Ning Jiang ◽  
Guan-Ping Feng
Keyword(s):  
Quartz Crystal ◽  
Shear Mode ◽  
Thickness Shear Mode ◽  
Quartz Crystal Resonators ◽  
Thickness Shear
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