{"title":"温度作用下带弹性填料的接近圆柱形旋转预应力壳的振动与稳定性问题","authors":"Sergo Kukudzhanov","doi":"10.1016/j.trmi.2016.06.002","DOIUrl":null,"url":null,"abstract":"<div><p>The present paper investigates natural oscillations and stability of shells of revolution which are close by their form to cylindrical ones, with elastic filler and under the action of meridional forces, external pressure and temperature. The shell is assumed to be thin and elastic. A filler is simulated by an elastic base. The shells of positive and negative Gaussian curvature are considered. Formulas for finding the least frequencies and a form of wave formation are written out. The questions dealing with the higher frequencies and stability of shells of revolution are studied, and formulas for critical loadings are also written out.</p></div>","PeriodicalId":43623,"journal":{"name":"Transactions of A Razmadze Mathematical Institute","volume":null,"pages":null},"PeriodicalIF":0.3000,"publicationDate":"2016-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.trmi.2016.06.002","citationCount":"0","resultStr":"{\"title\":\"Some problems of oscillation and stability of prestressed shells of rotation close to cylindrical ones, with an elastic filler and under the action of temperature\",\"authors\":\"Sergo Kukudzhanov\",\"doi\":\"10.1016/j.trmi.2016.06.002\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>The present paper investigates natural oscillations and stability of shells of revolution which are close by their form to cylindrical ones, with elastic filler and under the action of meridional forces, external pressure and temperature. The shell is assumed to be thin and elastic. A filler is simulated by an elastic base. The shells of positive and negative Gaussian curvature are considered. Formulas for finding the least frequencies and a form of wave formation are written out. The questions dealing with the higher frequencies and stability of shells of revolution are studied, and formulas for critical loadings are also written out.</p></div>\",\"PeriodicalId\":43623,\"journal\":{\"name\":\"Transactions of A Razmadze Mathematical Institute\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2016-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/j.trmi.2016.06.002\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Transactions of A Razmadze Mathematical Institute\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S2346809216300368\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Transactions of A Razmadze Mathematical Institute","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2346809216300368","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
Some problems of oscillation and stability of prestressed shells of rotation close to cylindrical ones, with an elastic filler and under the action of temperature
The present paper investigates natural oscillations and stability of shells of revolution which are close by their form to cylindrical ones, with elastic filler and under the action of meridional forces, external pressure and temperature. The shell is assumed to be thin and elastic. A filler is simulated by an elastic base. The shells of positive and negative Gaussian curvature are considered. Formulas for finding the least frequencies and a form of wave formation are written out. The questions dealing with the higher frequencies and stability of shells of revolution are studied, and formulas for critical loadings are also written out.