Characteristics of a Quartz Crystal Tuning Fork by Finite Element Analysis

Yoshiro TOMIKAWA; Sumio SUGAWARA; Masashi KONNO

Characteristics of a Quartz Crystal Tuning Fork by Finite Element Analysis

Yoshiro TOMIKAWA, Sumio SUGAWARA, Masashi KONNO

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A finite element method is used to analyze the vibrational characteristics of a quartz crystal tuning fork. From the information obtained by the calculation, the base length of a symmetrical tuning fork can be determined for stability of the fundamental resonant frequency and for very small stresses at the base end. Moreover, the quantitative reason why the effective resonant quality factor Q_e of the supported tuning fork with arm corners cut off is highly promoted becomes clear from the analysis in this paper. This desirable characteristic is also realized in the tuning forks either with the circle hole at slit end or with the wide base portion. As for an unsymmetrical tuning fork which is frequently made in manufacturing process, the effects of dimensional unsymmetry on the resonant frequency are analyzed. For compensation of its characteristics caused by unsymmetry, the method of adjusting the length of an arm is usually adapted. It is ascertained whether or not this method is effective for high Q_e and high stability of the resonant frequency against change of support condition.

Publication: IEICE TRANSACTIONS on transactions Vol.E63-E No.3 pp.177-183

Publication Date: 1980/03/25

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Type of Manuscript: PAPER

Category: Acoustics

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Yoshiro TOMIKAWA
Sumio SUGAWARA
Masashi KONNO

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Yoshiro TOMIKAWA, Sumio SUGAWARA, Masashi KONNO, "Characteristics of a Quartz Crystal Tuning Fork by Finite Element Analysis" in IEICE TRANSACTIONS on transactions, vol. E63-E, no. 3, pp. 177-183, March 1980, doi: .
Abstract: A finite element method is used to analyze the vibrational characteristics of a quartz crystal tuning fork. From the information obtained by the calculation, the base length of a symmetrical tuning fork can be determined for stability of the fundamental resonant frequency and for very small stresses at the base end. Moreover, the quantitative reason why the effective resonant quality factor Q_e of the supported tuning fork with arm corners cut off is highly promoted becomes clear from the analysis in this paper. This desirable characteristic is also realized in the tuning forks either with the circle hole at slit end or with the wide base portion. As for an unsymmetrical tuning fork which is frequently made in manufacturing process, the effects of dimensional unsymmetry on the resonant frequency are analyzed. For compensation of its characteristics caused by unsymmetry, the method of adjusting the length of an arm is usually adapted. It is ascertained whether or not this method is effective for high Q_e and high stability of the resonant frequency against change of support condition.
URL: https://global.ieice.org/en_transactions/transactions/10.1587/e63-e_3_177/_p

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@ARTICLE{e63-e_3_177,
author={Yoshiro TOMIKAWA, Sumio SUGAWARA, Masashi KONNO, },
journal={IEICE TRANSACTIONS on transactions},
title={Characteristics of a Quartz Crystal Tuning Fork by Finite Element Analysis},
year={1980},
volume={E63-E},
number={3},
pages={177-183},
abstract={A finite element method is used to analyze the vibrational characteristics of a quartz crystal tuning fork. From the information obtained by the calculation, the base length of a symmetrical tuning fork can be determined for stability of the fundamental resonant frequency and for very small stresses at the base end. Moreover, the quantitative reason why the effective resonant quality factor Q_e of the supported tuning fork with arm corners cut off is highly promoted becomes clear from the analysis in this paper. This desirable characteristic is also realized in the tuning forks either with the circle hole at slit end or with the wide base portion. As for an unsymmetrical tuning fork which is frequently made in manufacturing process, the effects of dimensional unsymmetry on the resonant frequency are analyzed. For compensation of its characteristics caused by unsymmetry, the method of adjusting the length of an arm is usually adapted. It is ascertained whether or not this method is effective for high Q_e and high stability of the resonant frequency against change of support condition.},
keywords={},
doi={},
ISSN={},
month={March},}

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TY - JOUR
TI - Characteristics of a Quartz Crystal Tuning Fork by Finite Element Analysis
T2 - IEICE TRANSACTIONS on transactions
SP - 177
EP - 183
AU - Yoshiro TOMIKAWA
AU - Sumio SUGAWARA
AU - Masashi KONNO
PY - 1980
DO -
JO - IEICE TRANSACTIONS on transactions
SN -
VL - E63-E
IS - 3
JA - IEICE TRANSACTIONS on transactions
Y1 - March 1980
AB - A finite element method is used to analyze the vibrational characteristics of a quartz crystal tuning fork. From the information obtained by the calculation, the base length of a symmetrical tuning fork can be determined for stability of the fundamental resonant frequency and for very small stresses at the base end. Moreover, the quantitative reason why the effective resonant quality factor Q_e of the supported tuning fork with arm corners cut off is highly promoted becomes clear from the analysis in this paper. This desirable characteristic is also realized in the tuning forks either with the circle hole at slit end or with the wide base portion. As for an unsymmetrical tuning fork which is frequently made in manufacturing process, the effects of dimensional unsymmetry on the resonant frequency are analyzed. For compensation of its characteristics caused by unsymmetry, the method of adjusting the length of an arm is usually adapted. It is ascertained whether or not this method is effective for high Q_e and high stability of the resonant frequency against change of support condition.
ER -