{"title":"压电板准纵向模态的解析研究","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":"{\"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}","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}
Analytical study of anisimkin's (quasilongitudinal) modes in piezoelectric plate
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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