{"title":"椭圆底与圆锥壳接缝支承环变形与应力的渐近研究","authors":"B. N. Yakovlev","doi":"10.15421/247736","DOIUrl":null,"url":null,"abstract":"In the paper, we consider stress-deformed state of elastic system that consists of the elliptic bottom, the ring, and the conic shell. The ring is under arbitrary load, which acts in its plane.On the base of the principal differential dependencies of design of the planar circular ring, we obtain the expressions for tensions, momentum, and the angle of rotation of lateral section.","PeriodicalId":52827,"journal":{"name":"Researches in Mathematics","volume":"182 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 and stresses of the ring that sustains the seam of elliptic bottom and conic shell\",\"authors\":\"B. N. Yakovlev\",\"doi\":\"10.15421/247736\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In the paper, we consider stress-deformed state of elastic system that consists of the elliptic bottom, the ring, and the conic shell. The ring is under arbitrary load, which acts in its plane.On the base of the principal differential dependencies of design of the planar circular ring, we obtain the expressions for tensions, momentum, and the angle of rotation of lateral section.\",\"PeriodicalId\":52827,\"journal\":{\"name\":\"Researches in Mathematics\",\"volume\":\"182 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/10.15421/247736\",\"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/10.15421/247736","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 and stresses of the ring that sustains the seam of elliptic bottom and conic shell
In the paper, we consider stress-deformed state of elastic system that consists of the elliptic bottom, the ring, and the conic shell. The ring is under arbitrary load, which acts in its plane.On the base of the principal differential dependencies of design of the planar circular ring, we obtain the expressions for tensions, momentum, and the angle of rotation of lateral section.
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