Calculation of a radially nonhomogeneous ring loaded with normal and tangential loads
In a two-dimensional plane problem of the theory of elasticity in polar coordinates for a nonhomogeneous body, it is possible to obtain analytical or numerical-analytical solutions only for a one-dimensional nonuniformity [1 - 3]. As a rule, this is possible when all unknown functions depend on the...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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EDP Sciences
2021-01-01
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| Series: | E3S Web of Conferences |
| Online Access: | https://www.e3s-conferences.org/articles/e3sconf/pdf/2021/57/e3sconf_catpid2021_01023.pdf |
| _version_ | 1818690071062118400 |
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| author | Andreeva Vladimir Nosyrinb Vladislav |
| author_facet | Andreeva Vladimir Nosyrinb Vladislav |
| author_sort | Andreeva Vladimir |
| collection | DOAJ |
| description | In a two-dimensional plane problem of the theory of elasticity in polar coordinates for a nonhomogeneous body, it is possible to obtain analytical or numerical-analytical solutions only for a one-dimensional nonuniformity [1 - 3]. As a rule, this is possible when all unknown functions depend on the radius. These tasks correspond to the majority of ring and cylindrical structures exposed to the axisymmetric effects of temperature, radiation, humidity, etc. The article considers the problem when radial and ring loads are unevenly distributed along the outer surface of the ring. The problem is solved by two methods: analytical and numerical-analytical, the methods comparison is presented. |
| first_indexed | 2024-12-17T12:20:10Z |
| format | Article |
| id | doaj.art-59e4766d69cb437d95d8c9e9314ce1a8 |
| institution | Directory Open Access Journal |
| issn | 2267-1242 |
| language | English |
| last_indexed | 2024-12-17T12:20:10Z |
| publishDate | 2021-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | E3S Web of Conferences |
| spelling | doaj.art-59e4766d69cb437d95d8c9e9314ce1a82022-12-21T21:49:01ZengEDP SciencesE3S Web of Conferences2267-12422021-01-012810102310.1051/e3sconf/202128101023e3sconf_catpid2021_01023Calculation of a radially nonhomogeneous ring loaded with normal and tangential loadsAndreeva VladimirNosyrinb VladislavIn a two-dimensional plane problem of the theory of elasticity in polar coordinates for a nonhomogeneous body, it is possible to obtain analytical or numerical-analytical solutions only for a one-dimensional nonuniformity [1 - 3]. As a rule, this is possible when all unknown functions depend on the radius. These tasks correspond to the majority of ring and cylindrical structures exposed to the axisymmetric effects of temperature, radiation, humidity, etc. The article considers the problem when radial and ring loads are unevenly distributed along the outer surface of the ring. The problem is solved by two methods: analytical and numerical-analytical, the methods comparison is presented.https://www.e3s-conferences.org/articles/e3sconf/pdf/2021/57/e3sconf_catpid2021_01023.pdf |
| spellingShingle | Andreeva Vladimir Nosyrinb Vladislav Calculation of a radially nonhomogeneous ring loaded with normal and tangential loads E3S Web of Conferences |
| title | Calculation of a radially nonhomogeneous ring loaded with normal and tangential loads |
| title_full | Calculation of a radially nonhomogeneous ring loaded with normal and tangential loads |
| title_fullStr | Calculation of a radially nonhomogeneous ring loaded with normal and tangential loads |
| title_full_unstemmed | Calculation of a radially nonhomogeneous ring loaded with normal and tangential loads |
| title_short | Calculation of a radially nonhomogeneous ring loaded with normal and tangential loads |
| title_sort | calculation of a radially nonhomogeneous ring loaded with normal and tangential loads |
| url | https://www.e3s-conferences.org/articles/e3sconf/pdf/2021/57/e3sconf_catpid2021_01023.pdf |
| work_keys_str_mv | AT andreevavladimir calculationofaradiallynonhomogeneousringloadedwithnormalandtangentialloads AT nosyrinbvladislav calculationofaradiallynonhomogeneousringloadedwithnormalandtangentialloads |