{"title":"Finite element analysis of circular quartz resonators using scalar differential equation and COMSOL","authors":"Jun Shi, C. Fan, M. Zhao, Jia-shi Yang","doi":"10.1109/SPAWDA.2014.6998519","DOIUrl":null,"url":null,"abstract":"We study free vibrations of a circular AT-cut quartz resonator using the two-dimensional scalar differential equation by Tiersten and Smythe in conjunction with COMSOL. Resonant frequencies and mode shapes are obtained and compared with available experimental results as well as available analytical solutions of the scalar equation. The accuracy of various analytical solutions is examined.","PeriodicalId":412736,"journal":{"name":"Proceedings of the 2014 Symposium on Piezoelectricity, Acoustic Waves, and Device Applications","volume":"14 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2014-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the 2014 Symposium on Piezoelectricity, Acoustic Waves, and Device Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SPAWDA.2014.6998519","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We study free vibrations of a circular AT-cut quartz resonator using the two-dimensional scalar differential equation by Tiersten and Smythe in conjunction with COMSOL. Resonant frequencies and mode shapes are obtained and compared with available experimental results as well as available analytical solutions of the scalar equation. The accuracy of various analytical solutions is examined.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
