Vibration analysis of coupled flexural torsional mode tuning fork type quartz crystals resonator

Author

Kawashima, Hirofumi

Author_Institution

Seiko Electron. Components Ltd., Tochigi, Japan

fYear

1988

Firstpage

45

Lastpage

52

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Frequency Control Symposium, 1988., Proceedings of the 42nd Annual

Conference_Location

Baltimore, MD

Type

conf

DOI

10.1109/FREQ.1988.27579

Filename

27579