Frequency shift of a crystal quartz resonator in thickness-shear modes induced by an array of hemispherical material units

2013 ◽  
Vol 60 (8) ◽  
pp. 1777-1782 ◽  
Author(s):  
Yuantai Hu ◽  
Huiliang Hu ◽  
Bin Luo ◽  
Huan Xue ◽  
Jiemin Xie ◽  
...  
Keyword(s):  
Frequency Shift ◽  
Quartz Resonator ◽  
Shear Modes ◽  
Crystal Quartz ◽  
Thickness Shear

Trapped thickness-shear modes in a contoured, partially electroded AT-cut quartz resonator

2015 ◽  
Vol 69 (1) ◽  
pp. 10302 ◽  
Author(s):  
Junjie Shi ◽  
Cuiying Fan ◽  
Minghao Zhao ◽  
Jiashi Yang
Keyword(s):  
Quartz Resonator ◽  
Shear Modes ◽  
Thickness Shear

Thickness-shear modes of an elliptical, contoured at-cut quartz resonator

2013 ◽  
Vol 60 (6) ◽  
pp. 1192-1198 ◽  
Author(s):  
Wenjun Wang ◽  
Rongxing Wu ◽  
Ji Wang ◽  
Jianke Du ◽  
Jiashi Yang
Keyword(s):  
Quartz Resonator ◽  
Shear Modes ◽  
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.

Shear Thickness Modes in a Presence of Magnetoelastic Waves Parallel to a Surface Guided by Ferromagnetic Film

2009 ◽  
Vol 152-153 ◽  
pp. 381-384
Author(s):  
Z.V. Gareeva ◽  
R.A. Doroshenko
Keyword(s):  
Wave Vector ◽  
Ferromagnetic Film ◽  
Wave Number ◽  
Resonant Frequencies ◽  
Surface Plane ◽  
Shear Modes ◽  
Thickness Shear ◽  
Magnetoelastic Waves

Thickness modes of magnetoelastic waves (MEW) guided by ferromagnetic film have been investigated. Propagation of two mutually perpendicular MEW one of which is parallel to a normal to the surface has been considered. It has been shown that resonant frequencies of standing MEW depend on the wave number of a wave propagating along a surface. Plots illustrating dependence of thickness shear modes upon wave vector kz of MEW traveling in a surface plane have been presented.

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