Model for a quartz-crystal tuning fork using torsion spring at the joint of the arm and the base and analysis of its frequency

被引：5

作者：

Itoh, H ^{[1
]}

Aoshima, Y ^{[1
]}

Egawa, T ^{[1
]}

机构：

[1] Shinshu Univ, Nagano 3800922, Japan

来源：

JAPANESE JOURNAL OF APPLIED PHYSICS PART 1-REGULAR PAPERS BRIEF COMMUNICATIONS & REVIEW PAPERS | 2002年 / 41卷 / 5B期

关键词：

quartz-crystal tuning fork; frequency; torsion spring; Winkler's foundation; Sezawa's approximation;

D O I：

10.1143/JJAP.41.3422

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

We developed a method for analyzing the frequency of a quartz-crystal tuning fork using a torsion-spring model. In order to calculate the frequency near the actual frequency of the turning fork, we approximated the right half of the tuning fork as an L-shaped bar in which two bars acting as the base and the arm undergo bending vibration. Furthermore, we applied the torsion spring model with torsion spring constant R to the joint of beam A corresponding to the base and beam B corresponding to the arm. A comparison was made between frequencies calculated by this method and experimental results, and the relationship between R and the width of the base was discussed.

引用

页码：3422 / 3425

页数：4

共 36 条

[1] Model for a quartz-crystal tuning fork using plate spring approximated to torsion spring adopted at the joint of the arm and the base
Itoh, H
Aoshima, Y
Sakaguchi, Y
JAPANESE JOURNAL OF APPLIED PHYSICS PART 1-REGULAR PAPERS BRIEF COMMUNICATIONS & REVIEW PAPERS, 2003, 42 (5B): : 3110 - 3114
[2] Model for a quartz-crystal tuning fork using plate spring approximated to torsion spring adopted at the joint of the arm and the base
Itoh, H
Aoshima, Y
Sakaguchi, Y
PROCEEDINGS OF THE 2002 IEEE INTERNATIONAL FREQUENCY CONTROL SYMPOSIUM & PDA EXHIBITION, 2002, : 145 - 151
[3] Model for a quartz-crystal tuning fork using plate spring approximated to torsion spring adopted at the joint of the arm and the base
Itoh, H., 1600, Japan Society of Applied Physics (42):
[4] Model of a quartz crystal tuning fork using torsion spring at the joint of the arm and the base
Itoh, H
Aoshima, Y
Egawa, T
PROCEEDINGS OF THE 2001 IEEE INTERNATIONAL FREQUENCY CONTROL SYMPOSIUM & PDA EXHIBITION, 2001, : 592 - 596
[5] Analysis of quality factor of quartz-crystal tuning forks using L-shaped bar model with torsion spring
Itoh, Hideaki
Sugiura, Keisuke
JAPANESE JOURNAL OF APPLIED PHYSICS, 2014, 53 (12)
[6] Analysis of Quality Factor of Quartz-Crystal Tuning Forks Using L-Shaped Bar Model with Torsion Spring
Sugiura, Keisuke
Itoh, Hideaki
2013 IEEE INTERNATIONAL ULTRASONICS SYMPOSIUM (IUS), 2013, : 2136 - 2139
[7] Analysis of the Motional Capacitance of the Electric Equivalent Circuit of Quartz-Crystal Tuning Fork Using L-Shaped Bar Model with Torsion Spring and in Consideration of Electric Field Distribution
Ishikawa, Takahiro
Itoh, Hideaki
2012 EUROPEAN FREQUENCY AND TIME FORUM (EFTF), 2012, : 41 - 48
[8] Analysis of Size Dependence of Quality Factor of Quartz-Crystal Tuning Fork
Itoh, Hideaki
Seki, Tatsuya
JAPANESE JOURNAL OF APPLIED PHYSICS, 2011, 50 (08)
[9] Analysis of size dependence of quality factor of quartz-crystal tuning fork
Faculty of Engineering, Shinshu University, Nagano 380-8553, Japan
Jpn. J. Appl. Phys., 8 PART 1
[10] RESONANCE FREQUENCY-ANALYSIS BY GALERKINS METHOD FOR CLAMPED-FREE, STEPPED FLEXURAL MODE QUARTZ-CRYSTAL RESONATORS AND ITS APPLICATION TO A QUARTZ-CRYSTAL TUNING FORK
KAWASHIMA, H
SUNAGA, K
ELECTRONICS AND COMMUNICATIONS IN JAPAN PART III-FUNDAMENTAL ELECTRONIC SCIENCE, 1994, 77 (08): : 28 - 38

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