Title :
Vibration analysis of coupled flexural torsional mode tuning fork type quartz crystals resonator
Author :
Kawashima, Hirofumi
Author_Institution :
Seiko Electron. Components Ltd., Tochigi, Japan
Abstract :
The frequency-temperature characteristics of a tuning-fork-type quartz crystal resonator which couples the torsional mode vibration to the flexural mode vibration are analyzed, and the estimated values of the various constants for a resonator manufactured for trial experiments are presented. A secular equation coupling the torsional mode vibration to the flexural mode vibration is first derived and used for a theoretical analysis of the frequency-temperature characteristics of the resonator. The calculated values are shown to agree well with experimental values obtained for the manufactured resonator. The results indicate that resonators with excellent frequency-temperature characteristics, low crystal impedance, and a high quality factor are realized
Keywords :
Q-factor; crystal resonators; frequency stability; quartz; Q-factor; coupled flexural torsional mode tuning fork; experimental values; flexural mode vibration; frequency-temperature characteristics; high quality factor; low crystal impedance; quartz crystals resonator; secular equation; theoretical analysis; torsional mode vibration; trial experiments; tuning-fork-type quartz crystal resonator; Circuit optimization; Coupled mode analysis; Crystals; Electric shock; Equations; Frequency estimation; Manufacturing; Resonant frequency; Temperature; Vibrations;
Conference_Titel :
Frequency Control Symposium, 1988., Proceedings of the 42nd Annual
Conference_Location :
Baltimore, MD
DOI :
10.1109/FREQ.1988.27579
