{"title":"在扭转、常压和温度作用下,采用弹性填料的接近圆柱形的正交各向异性旋转壳的稳定性","authors":"Sergo Kukudzhanov","doi":"10.1016/j.trmi.2017.10.005","DOIUrl":null,"url":null,"abstract":"<div><p>The paper investigates the stability of orthotropic shells of revolution which are by their form close to cylindrical ones, with an elastic filler, under the action of torques, external pressure and temperature. The shell is assumed to be thin and elastic. Temperature is uniformly distributed in the shell body. The filler is simulated by an elastic base. The shells of positive and negative Gaussian curvature are considered. Formulas for finding critical loadings and corresponding forms of stability loss are derived.</p></div>","PeriodicalId":43623,"journal":{"name":"Transactions of A Razmadze Mathematical Institute","volume":"172 1","pages":"Pages 64-72"},"PeriodicalIF":0.3000,"publicationDate":"2018-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.trmi.2017.10.005","citationCount":"0","resultStr":"{\"title\":\"The stability of orthotropic shells of revolution, close to cylindrical ones, with an elastic filler, under the action of torsion, normal pressure and temperature\",\"authors\":\"Sergo Kukudzhanov\",\"doi\":\"10.1016/j.trmi.2017.10.005\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>The paper investigates the stability of orthotropic shells of revolution which are by their form close to cylindrical ones, with an elastic filler, under the action of torques, external pressure and temperature. The shell is assumed to be thin and elastic. Temperature is uniformly distributed in the shell body. The filler is simulated by an elastic base. The shells of positive and negative Gaussian curvature are considered. Formulas for finding critical loadings and corresponding forms of stability loss are derived.</p></div>\",\"PeriodicalId\":43623,\"journal\":{\"name\":\"Transactions of A Razmadze Mathematical Institute\",\"volume\":\"172 1\",\"pages\":\"Pages 64-72\"},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2018-04-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/j.trmi.2017.10.005\",\"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/S2346809217300934\",\"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/S2346809217300934","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
The stability of orthotropic shells of revolution, close to cylindrical ones, with an elastic filler, under the action of torsion, normal pressure and temperature
The paper investigates the stability of orthotropic shells of revolution which are by their form close to cylindrical ones, with an elastic filler, under the action of torques, external pressure and temperature. The shell is assumed to be thin and elastic. Temperature is uniformly distributed in the shell body. The filler is simulated by an elastic base. The shells of positive and negative Gaussian curvature are considered. Formulas for finding critical loadings and corresponding forms of stability loss are derived.