DocumentCode :
597181
Title :
Correction factors for mindlin plate equations with the consideration of stiffness and mass effects of electodes for SC-cut quartz crystal plates
Author :
Gui-jia Chen ; Ji Wang ; Wen-jun Wang ; Rong-xing Wu ; Ting-feng Ma ; Jian-ke Du
Author_Institution :
Piezoelectr. Device Lab., Ningbo Univ., Ningbo, China
fYear :
2012
fDate :
23-25 Nov. 2012
Firstpage :
229
Lastpage :
232
Abstract :
Mindlin plate theory has been playing a vital role in the analysis of high frequency vibration of quartz crystal resonators, since the coupled equations with infinite number of vibration modes have been truncated to retain essential ones with strong couplings for simplified analysis, and correction factors have been introduced to ensure exact solutions at cut-off frequencies as part of the validation procedure. Corrections must be made at the cut-off frequency with stiffness and mass effects of electrodes considered in the plate equations, but correction factors are different between the AT- and SC-cut quartz crystal. The systematic study of correction factors is readily available to the analytical equations with selected modes of strong couplings, and equally convenient for the implementation of the finite element analysis with the Mindlin plate equations.
Keywords :
crystal resonators; electrodes; finite element analysis; quartz; vibrations; AT-cut quartz crystal; Mindlin plate equations; Mindlin plate theory; SC-cut quartz crystal plates; SiO2; correction factors; coupled equations; cut-off frequency; electrodes; finite element analysis; high frequency vibration analysis; mass effects; quartz crystal resonators; stiffness effect; vibration modes; Crystals; Cutoff frequency; Electrodes; Equations; Gold; Resonant frequency; Stress; Correction factors; Mass; Mindlin plate equations; SC-cut quartz crystal; Stiffness;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Piezoelectricity, Acoustic Waves and Device Applications (SPAWDA), 2012 Symposium on
Conference_Location :
Shanghai
Print_ISBN :
978-1-4673-4814-0
Type :
conf
DOI :
10.1109/SPAWDA.2012.6464077
Filename :
6464077
Link To Document :
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