Stress state analysis of an equal slope shell under uniformly distributed tangential load by different methods
Nowadays there are various calculation methods for solving a wide range of problems in construction, hydrodynamics, thermal conductivity, aerospace research and many other areas of industry. Analytical methods that make up one class for solving problems, and numerical calculation methods that make u...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Peoples’ Friendship University of Russia (RUDN University)
2021-12-01
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| Series: | Structural Mechanics of Engineering Constructions and Buildings |
| Subjects: | |
| Online Access: | http://journals.rudn.ru/structural-mechanics/article/viewFile/26186/19283 |
| _version_ | 1818603414120038400 |
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| author | Olga O. Aleshina Vyacheslav N. Ivanov David Cajamarca-Zuniga |
| author_facet | Olga O. Aleshina Vyacheslav N. Ivanov David Cajamarca-Zuniga |
| author_sort | Olga O. Aleshina |
| collection | DOAJ |
| description | Nowadays there are various calculation methods for solving a wide range of problems in construction, hydrodynamics, thermal conductivity, aerospace research and many other areas of industry. Analytical methods that make up one class for solving problems, and numerical calculation methods that make up another class, including those implemented in computing complexes, are used for the design and construction of various thin-walled structures such as shells. Due to the fact that thin-walled spatial structures in the form of various shells are widely used in many areas of human activity it is useful to understand and know the capabilities of different calculation methods. Research works on the study of the stress-strain state of the torse shell of equal slope with an ellipse at the base are not widely available at the moment. For the first time the derivation of the differential equations of equilibrium of momentless theory of shells to determine the normal force Nu from the action of uniformly distributed load tangentially directed along rectilinear generatrixes to the middle surface of the torse of equal slope with a directrix ellipse is presented in this article. The parameters of the stress state of the studied torse are also obtained by the finite element method and the variational-difference method. The SCAD software based on the finite element method and the program SHELLVRM written on the basis of the variational-difference method are used. The numerical results of the parameters of the stress state of the studied torse are analyzed, and the advantages and disadvantages of the analytical method and two numerical calculation methods are determined. |
| first_indexed | 2024-12-16T13:22:47Z |
| format | Article |
| id | doaj.art-9fa4272131e748c1be02ebaacfa64553 |
| institution | Directory Open Access Journal |
| issn | 1815-5235 2587-8700 |
| language | English |
| last_indexed | 2024-12-16T13:22:47Z |
| publishDate | 2021-12-01 |
| publisher | Peoples’ Friendship University of Russia (RUDN University) |
| record_format | Article |
| series | Structural Mechanics of Engineering Constructions and Buildings |
| spelling | doaj.art-9fa4272131e748c1be02ebaacfa645532022-12-21T22:30:18ZengPeoples’ Friendship University of Russia (RUDN University)Structural Mechanics of Engineering Constructions and Buildings1815-52352587-87002021-12-01171516210.22363/1815-5235-2021-17-1-51-6219969Stress state analysis of an equal slope shell under uniformly distributed tangential load by different methodsOlga O. Aleshina0Vyacheslav N. Ivanov1David Cajamarca-Zuniga2Peoples’ Friendship University of Russia (RUDN University)Peoples’ Friendship University of Russia (RUDN University)Catholic University of CuencaNowadays there are various calculation methods for solving a wide range of problems in construction, hydrodynamics, thermal conductivity, aerospace research and many other areas of industry. Analytical methods that make up one class for solving problems, and numerical calculation methods that make up another class, including those implemented in computing complexes, are used for the design and construction of various thin-walled structures such as shells. Due to the fact that thin-walled spatial structures in the form of various shells are widely used in many areas of human activity it is useful to understand and know the capabilities of different calculation methods. Research works on the study of the stress-strain state of the torse shell of equal slope with an ellipse at the base are not widely available at the moment. For the first time the derivation of the differential equations of equilibrium of momentless theory of shells to determine the normal force Nu from the action of uniformly distributed load tangentially directed along rectilinear generatrixes to the middle surface of the torse of equal slope with a directrix ellipse is presented in this article. The parameters of the stress state of the studied torse are also obtained by the finite element method and the variational-difference method. The SCAD software based on the finite element method and the program SHELLVRM written on the basis of the variational-difference method are used. The numerical results of the parameters of the stress state of the studied torse are analyzed, and the advantages and disadvantages of the analytical method and two numerical calculation methods are determined.http://journals.rudn.ru/structural-mechanics/article/viewFile/26186/19283thin shell theoryanalytical methodmomentless statetorse shellsurface of equal slopefinite element methodvariational-difference methodscad office computing systemmathcad system |
| spellingShingle | Olga O. Aleshina Vyacheslav N. Ivanov David Cajamarca-Zuniga Stress state analysis of an equal slope shell under uniformly distributed tangential load by different methods Structural Mechanics of Engineering Constructions and Buildings thin shell theory analytical method momentless state torse shell surface of equal slope finite element method variational-difference method scad office computing system mathcad system |
| title | Stress state analysis of an equal slope shell under uniformly distributed tangential load by different methods |
| title_full | Stress state analysis of an equal slope shell under uniformly distributed tangential load by different methods |
| title_fullStr | Stress state analysis of an equal slope shell under uniformly distributed tangential load by different methods |
| title_full_unstemmed | Stress state analysis of an equal slope shell under uniformly distributed tangential load by different methods |
| title_short | Stress state analysis of an equal slope shell under uniformly distributed tangential load by different methods |
| title_sort | stress state analysis of an equal slope shell under uniformly distributed tangential load by different methods |
| topic | thin shell theory analytical method momentless state torse shell surface of equal slope finite element method variational-difference method scad office computing system mathcad system |
| url | http://journals.rudn.ru/structural-mechanics/article/viewFile/26186/19283 |
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