{"title":"含粘性不可压缩液体的两几何非线性弹性共轴圆柱壳波发生的计算机模拟","authors":"Y. Blinkov, L. Mogilevich, A. V. Mesyanzhin","doi":"10.1109/DYNAMICS.2016.7818982","DOIUrl":null,"url":null,"abstract":"The paper presents the investigation of wave occurrences of two geometrically non-linear elastic coaxial cylindrical shells model of Kirchhoff-Love type, containing viscous incompressible liquid between them, as well as inside. The difference schemes of Crank-Nicholson type are obtained for the considered equations system by taking into account liquid impact and with the help of Gröbner bases construction. On the basis of computation algorithm the complex of programs, permitting to construct graphs and obtain numerical solutions under exact solutions of coaxial shell dynamics equations system, was made.","PeriodicalId":293543,"journal":{"name":"2016 Dynamics of Systems, Mechanisms and Machines (Dynamics)","volume":"234 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2016-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Wave occurrences computer modeling in two geometrically non-linear elastic coaxial cylindrical shells, containing viscous incompressible liquid\",\"authors\":\"Y. Blinkov, L. Mogilevich, A. V. Mesyanzhin\",\"doi\":\"10.1109/DYNAMICS.2016.7818982\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The paper presents the investigation of wave occurrences of two geometrically non-linear elastic coaxial cylindrical shells model of Kirchhoff-Love type, containing viscous incompressible liquid between them, as well as inside. The difference schemes of Crank-Nicholson type are obtained for the considered equations system by taking into account liquid impact and with the help of Gröbner bases construction. On the basis of computation algorithm the complex of programs, permitting to construct graphs and obtain numerical solutions under exact solutions of coaxial shell dynamics equations system, was made.\",\"PeriodicalId\":293543,\"journal\":{\"name\":\"2016 Dynamics of Systems, Mechanisms and Machines (Dynamics)\",\"volume\":\"234 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2016-11-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2016 Dynamics of Systems, Mechanisms and Machines (Dynamics)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/DYNAMICS.2016.7818982\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2016 Dynamics of Systems, Mechanisms and Machines (Dynamics)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/DYNAMICS.2016.7818982","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Wave occurrences computer modeling in two geometrically non-linear elastic coaxial cylindrical shells, containing viscous incompressible liquid
The paper presents the investigation of wave occurrences of two geometrically non-linear elastic coaxial cylindrical shells model of Kirchhoff-Love type, containing viscous incompressible liquid between them, as well as inside. The difference schemes of Crank-Nicholson type are obtained for the considered equations system by taking into account liquid impact and with the help of Gröbner bases construction. On the basis of computation algorithm the complex of programs, permitting to construct graphs and obtain numerical solutions under exact solutions of coaxial shell dynamics equations system, was made.
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