{"title":"弹性波的三维辐射和传播问题中的德拜势的应用","authors":"S. Ilmenkov, A. Kleshchev","doi":"10.5923/J.IJTMP.20120206.01","DOIUrl":null,"url":null,"abstract":"Are studied internal and external tasks of radiat ion of a sound by the elastic bodies, excit ing by the harmonic point source, imitating turbulent pulsation of a flo w of a liquid. The angular characteristics of radiat ion of a hollow spheroidal shell are calcu lated. The characteristic equations of the axial three-d imensional flexural waves in the hollow cylindrical shell and cylindrical bar are received with the help of Debye's potentials. The phase velocities of the various forms of these waves for shells and for cylindrical bar are calculated.","PeriodicalId":415446,"journal":{"name":"International Journal of Theoretical and Mathematical Physics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2012-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"The Debye'S Potentials Utilization in the Three-Dimensional Problems of the Radiation and Propagation of the Elastic Waves\",\"authors\":\"S. Ilmenkov, A. Kleshchev\",\"doi\":\"10.5923/J.IJTMP.20120206.01\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Are studied internal and external tasks of radiat ion of a sound by the elastic bodies, excit ing by the harmonic point source, imitating turbulent pulsation of a flo w of a liquid. The angular characteristics of radiat ion of a hollow spheroidal shell are calcu lated. The characteristic equations of the axial three-d imensional flexural waves in the hollow cylindrical shell and cylindrical bar are received with the help of Debye's potentials. The phase velocities of the various forms of these waves for shells and for cylindrical bar are calculated.\",\"PeriodicalId\":415446,\"journal\":{\"name\":\"International Journal of Theoretical and Mathematical Physics\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2012-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Theoretical and Mathematical Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.5923/J.IJTMP.20120206.01\",\"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 Journal of Theoretical and Mathematical Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5923/J.IJTMP.20120206.01","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The Debye'S Potentials Utilization in the Three-Dimensional Problems of the Radiation and Propagation of the Elastic Waves
Are studied internal and external tasks of radiat ion of a sound by the elastic bodies, excit ing by the harmonic point source, imitating turbulent pulsation of a flo w of a liquid. The angular characteristics of radiat ion of a hollow spheroidal shell are calcu lated. The characteristic equations of the axial three-d imensional flexural waves in the hollow cylindrical shell and cylindrical bar are received with the help of Debye's potentials. The phase velocities of the various forms of these waves for shells and for cylindrical bar are calculated.