The solution of the plane problem of the theory of elasticity by the boundary elements method
An approach to solving the biharmonic equation of the plane problem of the theory of elasticity by the numerical-analytical method of boundary elements is developed. The reduction of the two-dimensional problem to the one-dimensional one was carried out by the KantorovichVlasov method. Systems of fu...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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EDP Sciences
2020-01-01
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| Series: | E3S Web of Conferences |
| Online Access: | https://www.e3s-conferences.org/articles/e3sconf/pdf/2020/71/e3sconf_jessd2020_02021.pdf |
| _version_ | 1819182411201642496 |
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| author | Surianinov Mykola Krutii Yurii Kovrov Anatolii Osadchiy Vladimir |
| author_facet | Surianinov Mykola Krutii Yurii Kovrov Anatolii Osadchiy Vladimir |
| author_sort | Surianinov Mykola |
| collection | DOAJ |
| description | An approach to solving the biharmonic equation of the plane problem of the theory of elasticity by the numerical-analytical method of boundary elements is developed. The reduction of the two-dimensional problem to the one-dimensional one was carried out by the KantorovichVlasov method. Systems of fundamental orthonormal functions and the Green function are constructed without any restrictions on the nature of the boundary conditions. A numerical example of solving a plane problem by the boundary element method for a rectangular plate is considered. The results are compared with the data of finite element analysis in the ANSYS program and those obtained by A.V. Aleksandrov. |
| first_indexed | 2024-12-22T22:45:42Z |
| format | Article |
| id | doaj.art-635007a3cfd0406ab81cef8f08d143b7 |
| institution | Directory Open Access Journal |
| issn | 2267-1242 |
| language | English |
| last_indexed | 2024-12-22T22:45:42Z |
| publishDate | 2020-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | E3S Web of Conferences |
| spelling | doaj.art-635007a3cfd0406ab81cef8f08d143b72022-12-21T18:10:06ZengEDP SciencesE3S Web of Conferences2267-12422020-01-012110202110.1051/e3sconf/202021102021e3sconf_jessd2020_02021The solution of the plane problem of the theory of elasticity by the boundary elements methodSurianinov Mykola0Krutii Yurii1Kovrov Anatolii2Osadchiy Vladimir3Odessa State Academy of Civil Engineering and ArchitectureOdessa State Academy of Civil Engineering and ArchitectureOdessa State Academy of Civil Engineering and ArchitectureOdessa State Academy of Civil Engineering and ArchitectureAn approach to solving the biharmonic equation of the plane problem of the theory of elasticity by the numerical-analytical method of boundary elements is developed. The reduction of the two-dimensional problem to the one-dimensional one was carried out by the KantorovichVlasov method. Systems of fundamental orthonormal functions and the Green function are constructed without any restrictions on the nature of the boundary conditions. A numerical example of solving a plane problem by the boundary element method for a rectangular plate is considered. The results are compared with the data of finite element analysis in the ANSYS program and those obtained by A.V. Aleksandrov.https://www.e3s-conferences.org/articles/e3sconf/pdf/2020/71/e3sconf_jessd2020_02021.pdf |
| spellingShingle | Surianinov Mykola Krutii Yurii Kovrov Anatolii Osadchiy Vladimir The solution of the plane problem of the theory of elasticity by the boundary elements method E3S Web of Conferences |
| title | The solution of the plane problem of the theory of elasticity by the boundary elements method |
| title_full | The solution of the plane problem of the theory of elasticity by the boundary elements method |
| title_fullStr | The solution of the plane problem of the theory of elasticity by the boundary elements method |
| title_full_unstemmed | The solution of the plane problem of the theory of elasticity by the boundary elements method |
| title_short | The solution of the plane problem of the theory of elasticity by the boundary elements method |
| title_sort | solution of the plane problem of the theory of elasticity by the boundary elements method |
| url | https://www.e3s-conferences.org/articles/e3sconf/pdf/2020/71/e3sconf_jessd2020_02021.pdf |
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