{"title":"环形扇形腔耦合圆柱管内的自由声振荡","authors":"Y. Lavrov, V. V. Piotrovitch","doi":"10.1109/DD.2003.238183","DOIUrl":null,"url":null,"abstract":"An analytical solution of two-dimensional problem of finding frequencies and forms of natural oscillations of a cylindrical resonator having special form is constructed. The cross-section of a resonator consists of circle with adjacent concentric truncated sector. Two outside round and radial boundaries of the system are ideally rigid. The arc wall between two regions is a thin elastic cylindrical shell with the clamped edges. The adjacent cavities of the resonator are filled with various ideal compressible irrotational fluids. The effect of a natural frequencies lowering under diminution of sector radial size is confirmed.","PeriodicalId":332604,"journal":{"name":"International Seminar Day on Diffraction, 2003. Proceedings.","volume":"8 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2003-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Free acoustic oscillations in cylindrical tube coupled with annular sector cavity\",\"authors\":\"Y. Lavrov, V. V. Piotrovitch\",\"doi\":\"10.1109/DD.2003.238183\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"An analytical solution of two-dimensional problem of finding frequencies and forms of natural oscillations of a cylindrical resonator having special form is constructed. The cross-section of a resonator consists of circle with adjacent concentric truncated sector. Two outside round and radial boundaries of the system are ideally rigid. The arc wall between two regions is a thin elastic cylindrical shell with the clamped edges. The adjacent cavities of the resonator are filled with various ideal compressible irrotational fluids. The effect of a natural frequencies lowering under diminution of sector radial size is confirmed.\",\"PeriodicalId\":332604,\"journal\":{\"name\":\"International Seminar Day on Diffraction, 2003. Proceedings.\",\"volume\":\"8 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2003-06-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Seminar Day on Diffraction, 2003. Proceedings.\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/DD.2003.238183\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Seminar Day on Diffraction, 2003. Proceedings.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/DD.2003.238183","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Free acoustic oscillations in cylindrical tube coupled with annular sector cavity
An analytical solution of two-dimensional problem of finding frequencies and forms of natural oscillations of a cylindrical resonator having special form is constructed. The cross-section of a resonator consists of circle with adjacent concentric truncated sector. Two outside round and radial boundaries of the system are ideally rigid. The arc wall between two regions is a thin elastic cylindrical shell with the clamped edges. The adjacent cavities of the resonator are filled with various ideal compressible irrotational fluids. The effect of a natural frequencies lowering under diminution of sector radial size is confirmed.
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