{"title":"超声速长方形唱片颤振，在气体流中有一个自由边缘。","authors":"С. Р. Мартиросян","doi":"10.54503/0002-3051-2022.75.3-64","DOIUrl":null,"url":null,"abstract":"In the article, in a linear formulation, the influence of the initial stress state of an elongated rectangular elastic plate with one free edge, stretched along the gas flow, on the stability of the unperturbed motion of the \"plate-flow\" linear dynamic system is studied under the assumption that there are concentrated inertial masses on its free edge and moments. An analytical solution of the problem of stability of a dynamical system is obtained. The stabilizing effect of tensile forces on the system is shown.","PeriodicalId":399202,"journal":{"name":"Mechanics - Proceedings of National Academy of Sciences of Armenia","volume":"19 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Сверхзвуковой флаттер удлиненной прямоугольной пластинки с одним свободным краем, растянутой по потоку газа\",\"authors\":\"С. Р. Мартиросян\",\"doi\":\"10.54503/0002-3051-2022.75.3-64\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In the article, in a linear formulation, the influence of the initial stress state of an elongated rectangular elastic plate with one free edge, stretched along the gas flow, on the stability of the unperturbed motion of the \\\"plate-flow\\\" linear dynamic system is studied under the assumption that there are concentrated inertial masses on its free edge and moments. An analytical solution of the problem of stability of a dynamical system is obtained. The stabilizing effect of tensile forces on the system is shown.\",\"PeriodicalId\":399202,\"journal\":{\"name\":\"Mechanics - Proceedings of National Academy of Sciences of Armenia\",\"volume\":\"19 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-09-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mechanics - Proceedings of National Academy of Sciences of Armenia\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.54503/0002-3051-2022.75.3-64\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mechanics - Proceedings of National Academy of Sciences of Armenia","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.54503/0002-3051-2022.75.3-64","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Сверхзвуковой флаттер удлиненной прямоугольной пластинки с одним свободным краем, растянутой по потоку газа
In the article, in a linear formulation, the influence of the initial stress state of an elongated rectangular elastic plate with one free edge, stretched along the gas flow, on the stability of the unperturbed motion of the "plate-flow" linear dynamic system is studied under the assumption that there are concentrated inertial masses on its free edge and moments. An analytical solution of the problem of stability of a dynamical system is obtained. The stabilizing effect of tensile forces on the system is shown.
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