用Sezawa近似和Winkler基础分析石英晶体音叉的频率

Proceedings of the 2000 IEEE/EIA International Frequency Control Symposium and Exhibition (Cat. No.00CH37052) Pub Date : 2000-06-07 DOI:10.1109/FREQ.2000.887393

H. Itoh, Y. Yong

{"title":"用Sezawa近似和Winkler基础分析石英晶体音叉的频率","authors":"H. Itoh, Y. Yong","doi":"10.1109/FREQ.2000.887393","DOIUrl":null,"url":null,"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.","PeriodicalId":294110,"journal":{"name":"Proceedings of the 2000 IEEE/EIA International Frequency Control Symposium and Exhibition (Cat. No.00CH37052)","volume":"34 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2000-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"An analysis of frequency of a quartz crystal tuning fork by Sezawa's approximation and Winkler's foundation of the supporting Elinvar alloy wire\",\"authors\":\"H. Itoh, Y. Yong\",\"doi\":\"10.1109/FREQ.2000.887393\",\"DOIUrl\":null,\"url\":null,\"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.\",\"PeriodicalId\":294110,\"journal\":{\"name\":\"Proceedings of the 2000 IEEE/EIA International Frequency Control Symposium and Exhibition (Cat. No.00CH37052)\",\"volume\":\"34 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2000-06-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the 2000 IEEE/EIA International Frequency Control Symposium and Exhibition (Cat. No.00CH37052)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/FREQ.2000.887393\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the 2000 IEEE/EIA International Frequency Control Symposium and Exhibition (Cat. No.00CH37052)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/FREQ.2000.887393","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 4

摘要

本文提出了一种独立于有限元分析的方法来分析支承导线对石英晶体音叉频率的影响。为了估计音叉支承钢丝的影响，我们将音叉右半段近似为l形杆，其中底座和臂部的杆均处于弯曲振动状态。在此基础上，用弹簧常数K将支撑索近似为弹性基础，并将该理论计算的频率变化与有限元法计算的频率变化进行了比较，讨论了弹簧常数K和支撑索长度对该理论计算的频率变化的影响。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

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

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.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Proceedings of the 2000 IEEE/EIA International Frequency Control Symposium and Exhibition (Cat. No.00CH37052)

自引率

0.00%

发文量