{"title":"石英高阶弹性刚度测定的关键评价","authors":"J. Nosek","doi":"10.1109/FREQ.2001.956210","DOIUrl":null,"url":null,"abstract":"The paper deals with the critical evaluation of the methods used in our previous papers concerning the determination of the high-order material constants in the quartz. We have determined the effective elastic constants of 4th order using a measurement of the intermodulation products, and measurement of drive level dependence of resonant frequency of quartz resonators. The computer based-method of solution of the set of equations gives an access to obtain the effective non-linear stiffnesses of 4th order. The measurements and computer solutions are performed on different Y-cuts resonators, both for quartz and gallium phosphate resonators, vibrating in fundamental thickness shear mode. The experimental results are discussed.","PeriodicalId":369101,"journal":{"name":"Proceedings of the 2001 IEEE International Frequncy Control Symposium and PDA Exhibition (Cat. No.01CH37218)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2001-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":"{\"title\":\"A critical evaluation of the determination of high-order elastic stiffnesses of quartz\",\"authors\":\"J. Nosek\",\"doi\":\"10.1109/FREQ.2001.956210\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The paper deals with the critical evaluation of the methods used in our previous papers concerning the determination of the high-order material constants in the quartz. We have determined the effective elastic constants of 4th order using a measurement of the intermodulation products, and measurement of drive level dependence of resonant frequency of quartz resonators. The computer based-method of solution of the set of equations gives an access to obtain the effective non-linear stiffnesses of 4th order. The measurements and computer solutions are performed on different Y-cuts resonators, both for quartz and gallium phosphate resonators, vibrating in fundamental thickness shear mode. The experimental results are discussed.\",\"PeriodicalId\":369101,\"journal\":{\"name\":\"Proceedings of the 2001 IEEE International Frequncy Control Symposium and PDA Exhibition (Cat. No.01CH37218)\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2001-06-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the 2001 IEEE International Frequncy Control Symposium and PDA Exhibition (Cat. No.01CH37218)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/FREQ.2001.956210\",\"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 2001 IEEE International Frequncy Control Symposium and PDA Exhibition (Cat. No.01CH37218)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/FREQ.2001.956210","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A critical evaluation of the determination of high-order elastic stiffnesses of quartz
The paper deals with the critical evaluation of the methods used in our previous papers concerning the determination of the high-order material constants in the quartz. We have determined the effective elastic constants of 4th order using a measurement of the intermodulation products, and measurement of drive level dependence of resonant frequency of quartz resonators. The computer based-method of solution of the set of equations gives an access to obtain the effective non-linear stiffnesses of 4th order. The measurements and computer solutions are performed on different Y-cuts resonators, both for quartz and gallium phosphate resonators, vibrating in fundamental thickness shear mode. The experimental results are discussed.
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