{"title":"锥形壳的热应力分析","authors":"F.J. Witt","doi":"10.1016/0369-5816(65)90147-X","DOIUrl":null,"url":null,"abstract":"<div><p>The differential equation of a conical shell subjected to axisymmetrical temperature distributions is derived. The temperature distributions may vary in the meridional direction and linearly through the thickness. In order to obtain a particular solution to the differential equation, the expression for the temperature distributions is assumed to be the sum of hyperbolic and cubic functions. The particular solution is superposed on the homogeneous solution and all the formulae for a complete analysis are given.</p></div>","PeriodicalId":100973,"journal":{"name":"Nuclear Structural Engineering","volume":"1 5","pages":"Pages 449-456"},"PeriodicalIF":0.0000,"publicationDate":"1965-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0369-5816(65)90147-X","citationCount":"6","resultStr":"{\"title\":\"Thermal stress analysis of conical shells\",\"authors\":\"F.J. Witt\",\"doi\":\"10.1016/0369-5816(65)90147-X\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>The differential equation of a conical shell subjected to axisymmetrical temperature distributions is derived. The temperature distributions may vary in the meridional direction and linearly through the thickness. In order to obtain a particular solution to the differential equation, the expression for the temperature distributions is assumed to be the sum of hyperbolic and cubic functions. The particular solution is superposed on the homogeneous solution and all the formulae for a complete analysis are given.</p></div>\",\"PeriodicalId\":100973,\"journal\":{\"name\":\"Nuclear Structural Engineering\",\"volume\":\"1 5\",\"pages\":\"Pages 449-456\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1965-05-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/0369-5816(65)90147-X\",\"citationCount\":\"6\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Nuclear Structural Engineering\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/036958166590147X\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Nuclear Structural Engineering","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/036958166590147X","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The differential equation of a conical shell subjected to axisymmetrical temperature distributions is derived. The temperature distributions may vary in the meridional direction and linearly through the thickness. In order to obtain a particular solution to the differential equation, the expression for the temperature distributions is assumed to be the sum of hyperbolic and cubic functions. The particular solution is superposed on the homogeneous solution and all the formulae for a complete analysis are given.