Title :
A few transient effects in AT-cut quartz thickness-shear resonators [Correspondence]
Author :
Runyu Zhang ; Hongping Hu
Author_Institution :
Dept. of Mech. & Mater. Eng., Univ. of Nebraska, Lincoln, NE, USA
fDate :
12/1/2011 12:00:00 AM
Abstract :
We study a few transient effects of AT-cut quartz thickness-shear resonators, including resonator turning on and turning off as well as voltage amplitude and frequency fluctuations. Mindlin´s two-dimensional plate equations are used and solved analytically. Both a sudden change and a gradual change of the driving voltage are studied. It is found that for a resonator with a frequency of 1.649430868 MHz and material quality factor of Q = 105, the characteristic time scale of the transient effects is of the order of 0.1 s.
Keywords :
crystal resonators; AT-cut quartz thickness shear resonators; Mindlin two-dimensional plate equations; driving voltage; frequency 1.649430868 MHz; frequency fluctuations; quality factor; resonator turning; time 0.1 s; transient effects; Crystals; Electrodes; Resonant frequency; Transient analysis; Turning; Vibrations; Computer Simulation; Manufactured Materials; Micro-Electrical-Mechanical Systems; Models, Theoretical; Quartz; Scattering, Radiation; Shear Strength; Transducers;
Journal_Title :
Ultrasonics, Ferroelectrics, and Frequency Control, IEEE Transactions on
DOI :
10.1109/TUFFC.2011.2140
