{"title":"Analytical study of anisimkin's (quasilongitudinal) modes in piezoelectric plate","authors":"M. Onoe, S. Kaga","doi":"10.1109/FREQ.2010.5556262","DOIUrl":null,"url":null,"abstract":"This paper presents a mathematical analysis of quasilongitudinal (QL) modes in piezoelectric quartz plate, which was found numerically and verified experimentally by Anisimkin in 2004. A new matrix formulation of analysis is used to compare pure elastic, piezoelectrically stiffened (with electrodes) and piezoelectrically unstiffened (without electrodes) cases. An approximate formulas to yield “allowed bands” for QL-modes is obtained. The formulas also covers newly found quasishear (QS) modes. Refined profiles of displacements through the plate thickness are presented to solve a mystery of little jumps in their profiles of longitudinal displacement.","PeriodicalId":344989,"journal":{"name":"2010 IEEE International Frequency Control Symposium","volume":"36 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2010 IEEE International Frequency Control Symposium","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/FREQ.2010.5556262","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 5
Abstract
This paper presents a mathematical analysis of quasilongitudinal (QL) modes in piezoelectric quartz plate, which was found numerically and verified experimentally by Anisimkin in 2004. A new matrix formulation of analysis is used to compare pure elastic, piezoelectrically stiffened (with electrodes) and piezoelectrically unstiffened (without electrodes) cases. An approximate formulas to yield “allowed bands” for QL-modes is obtained. The formulas also covers newly found quasishear (QS) modes. Refined profiles of displacements through the plate thickness are presented to solve a mystery of little jumps in their profiles of longitudinal displacement.
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