An analysis of frequency of a quartz crystal tuning fork by Sezawa´s approximation and Winkler´s foundation of the supporting Elinvar alloy wire

Author

Itoh, Hideaki ; Yong, Yook-Kong

Author_Institution

Shinshu Univ., Nagano, Japan

fYear

2000

fDate

2000

Firstpage

420

Lastpage

424

Abstract

We developed the method to analyze the effect of the supporting wire on frequency of a quartz crystal tuning fork independent of the FEM. In order to estimate the influence of the supporting wire of tuning fork, we approximated the right half section of tuning fork to an L-shaped bar, of which the bars at both the base and the arm are in bending vibration. Furthermore, we approximated the supporting wire to elastic foundation with spring constant K. A comparison was made of frequency changes calculated by this theory with those by FEM, and the influence of spring constant K and the length of the supporting wire on frequency change calculated by this theory is discussed

Keywords

Elinvar; Young´s modulus; bending; boundary-value problems; crystal resonators; eigenvalues and eigenfunctions; elastic constants; piezoelectric oscillations; vibrations; CrFeMnNiSiW; L-shaped bar; Sezawa´s approximation; SiO₂; Winkler´s foundation; Young´s modulus; bending vibration; boundary conditions; eigenvalue equation; elastic compliance constant; elastic foundation; equations of motion; frequency analysis; frequency changes; quartz crystal tuning fork; right half section approximation; spring constant; supporting Elinvar alloy wire; supporting wire length influence; Arm; Artificial intelligence; Bars; Boundary conditions; Frequency; Lead; Springs; Tactile sensors; Vibrations; Wire;

fLanguage

English

Publisher

ieee

Conference_Titel

Frequency Control Symposium and Exhibition, 2000. Proceedings of the 2000 IEEE/EIA International

Conference_Location

Kansas City, MO

ISSN

1075-6787

Print_ISBN

0-7803-5838-4

Type

conf

DOI

10.1109/FREQ.2000.887393

Filename

887393