An analysis of annular plate in curvilinear non-orthogonal coordinates with the help of equations of a shell theory
The complete system of equations of a linear theory of thin shells in curvilinear non-orthogonal coordinates proposed in the paper was taken as the basis of the investigation. Earlier, this system was used for static analysis of a long developable helicoid. In the article, this system is applied for...
| Main Author: | |
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| Format: | Article |
| Language: | English |
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Peoples’ Friendship University of Russia (RUDN University)
2020-12-01
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| Series: | Structural Mechanics of Engineering Constructions and Buildings |
| Subjects: | |
| Online Access: | http://journals.rudn.ru/structural-mechanics/article/viewFile/25617/19024 |
| _version_ | 1818456093697769472 |
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| author | Sergey N. Krivoshapko |
| author_facet | Sergey N. Krivoshapko |
| author_sort | Sergey N. Krivoshapko |
| collection | DOAJ |
| description | The complete system of equations of a linear theory of thin shells in curvilinear non-orthogonal coordinates proposed in the paper was taken as the basis of the investigation. Earlier, this system was used for static analysis of a long developable helicoid. In the article, this system is applied for the determination of stress-strain state of annular and circular plates under action of the external axisymmetric uniform load acting both in the plane of the plate and out-of-their plane. Presented results for annular plate given in the non-orthogonal coordinates ex-pand a number of problems that can be solved analytically. They can be used as the first terms of series of expansion of displacements of degrees of the small parameter if a small parameter method is applied for examining a long tangential developable helicoid. |
| first_indexed | 2024-12-14T22:21:12Z |
| format | Article |
| id | doaj.art-ae591538edcd46df9b7c014df0f6060d |
| institution | Directory Open Access Journal |
| issn | 1815-5235 2587-8700 |
| language | English |
| last_indexed | 2024-12-14T22:21:12Z |
| publishDate | 2020-12-01 |
| publisher | Peoples’ Friendship University of Russia (RUDN University) |
| record_format | Article |
| series | Structural Mechanics of Engineering Constructions and Buildings |
| spelling | doaj.art-ae591538edcd46df9b7c014df0f6060d2022-12-21T22:45:29ZengPeoples’ Friendship University of Russia (RUDN University)Structural Mechanics of Engineering Constructions and Buildings1815-52352587-87002020-12-0116647248010.22363/1815-5235-2020-16-6-472-48019713An analysis of annular plate in curvilinear non-orthogonal coordinates with the help of equations of a shell theorySergey N. Krivoshapko0Peoples’ Friendship University of Russia (RUDN University)The complete system of equations of a linear theory of thin shells in curvilinear non-orthogonal coordinates proposed in the paper was taken as the basis of the investigation. Earlier, this system was used for static analysis of a long developable helicoid. In the article, this system is applied for the determination of stress-strain state of annular and circular plates under action of the external axisymmetric uniform load acting both in the plane of the plate and out-of-their plane. Presented results for annular plate given in the non-orthogonal coordinates ex-pand a number of problems that can be solved analytically. They can be used as the first terms of series of expansion of displacements of degrees of the small parameter if a small parameter method is applied for examining a long tangential developable helicoid.http://journals.rudn.ru/structural-mechanics/article/viewFile/25617/19024arbitrary coordinatesshell theorytangential developable helicoidannular plateequilibrium equationsaxisymmetric load |
| spellingShingle | Sergey N. Krivoshapko An analysis of annular plate in curvilinear non-orthogonal coordinates with the help of equations of a shell theory Structural Mechanics of Engineering Constructions and Buildings arbitrary coordinates shell theory tangential developable helicoid annular plate equilibrium equations axisymmetric load |
| title | An analysis of annular plate in curvilinear non-orthogonal coordinates with the help of equations of a shell theory |
| title_full | An analysis of annular plate in curvilinear non-orthogonal coordinates with the help of equations of a shell theory |
| title_fullStr | An analysis of annular plate in curvilinear non-orthogonal coordinates with the help of equations of a shell theory |
| title_full_unstemmed | An analysis of annular plate in curvilinear non-orthogonal coordinates with the help of equations of a shell theory |
| title_short | An analysis of annular plate in curvilinear non-orthogonal coordinates with the help of equations of a shell theory |
| title_sort | analysis of annular plate in curvilinear non orthogonal coordinates with the help of equations of a shell theory |
| topic | arbitrary coordinates shell theory tangential developable helicoid annular plate equilibrium equations axisymmetric load |
| url | http://journals.rudn.ru/structural-mechanics/article/viewFile/25617/19024 |
| work_keys_str_mv | AT sergeynkrivoshapko ananalysisofannularplateincurvilinearnonorthogonalcoordinateswiththehelpofequationsofashelltheory AT sergeynkrivoshapko analysisofannularplateincurvilinearnonorthogonalcoordinateswiththehelpofequationsofashelltheory |