An analysis of frequency of a quartz crystal tuning fork by Sezawa´s approximation-the effect of clamped position of its base

Author

Itoh, Hideaki ; Matsumoto, Takashi

Author_Institution

Shinshu Univ., Nagano, Japan

Volume

1

fYear

1999

fDate

1999

Firstpage

494

Abstract

The base of a quartz crystal tuning fork has not usually been taken into consideration in the analysis of frequency by the bar model. The right half section of a quartz crystal tuning fork was approximated to an L-shaped bar and then its frequency analyzed by Sezawa´s approximation with the effect of clamped position of its base taken into account. A comparison was made of frequencies calculated by this theory with those by the conventional cantilever model and of frequency changes calculated by this theory with those by FEM, and the influence of both the clamped position and length of the base on frequency and frequency change is discussed

Keywords

crystal resonators; eigenvalues and eigenfunctions; tactile sensors; vibrations; L-shaped bar approximation; Sezawa approximation; base clamped position effect; base length; eigenvalue equation; equations of motion; frequency analysis; frequency change; natural frequency; quartz crystal tuning fork; tactile sensor application; vibration mode; Artificial intelligence; Bars; Displacement measurement; Frequency measurement; Impedance; Length measurement; Sensor phenomena and characterization; Structural beams; Tuning; Vibration measurement;

fLanguage

English

Publisher

ieee

Conference_Titel

Frequency and Time Forum, 1999 and the IEEE International Frequency Control Symposium, 1999., Proceedings of the 1999 Joint Meeting of the European

Conference_Location

Besancon

ISSN

1075-6787

Print_ISBN

0-7803-5400-1

Type

conf

DOI

10.1109/FREQ.1999.840814

Filename

840814