{"title":"椭圆底与圆锥壳变形的渐近研究","authors":"B. N. Yakovlev","doi":"10.15421/247737","DOIUrl":null,"url":null,"abstract":"In the paper, for the set of two homogeneous differential equations (in Novozhilov sense) that describes non-axial-symmetric deformation of rotation hull, which is under arbitrary edge load, we obtain by elliptic method the approximate solutions for elliptic and conic shells. We find expressions for transitions.","PeriodicalId":52827,"journal":{"name":"Researches in Mathematics","volume":"79 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2021-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Asymptotic research of deformations of elliptic bottom and conic shell\",\"authors\":\"B. N. Yakovlev\",\"doi\":\"10.15421/247737\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In the paper, for the set of two homogeneous differential equations (in Novozhilov sense) that describes non-axial-symmetric deformation of rotation hull, which is under arbitrary edge load, we obtain by elliptic method the approximate solutions for elliptic and conic shells. We find expressions for transitions.\",\"PeriodicalId\":52827,\"journal\":{\"name\":\"Researches in Mathematics\",\"volume\":\"79 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-10-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Researches in Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.15421/247737\",\"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":"Researches in Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.15421/247737","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
Asymptotic research of deformations of elliptic bottom and conic shell
In the paper, for the set of two homogeneous differential equations (in Novozhilov sense) that describes non-axial-symmetric deformation of rotation hull, which is under arbitrary edge load, we obtain by elliptic method the approximate solutions for elliptic and conic shells. We find expressions for transitions.
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