Dynamic buckling of plate made of glass reinforced plastic under rapidly increasing shear load
The research object of this work is a clamped rectangular plate made of glass-reinforced plastic. The dynamic problem of stability of the plate under rapidly increasing shear load is considered. Within the Kirchhoff–Love hypothesis framework, a mathematical model was built in a geometrically nonline...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
EDP Sciences
2023-01-01
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| Series: | E3S Web of Conferences |
| Online Access: | https://www.e3s-conferences.org/articles/e3sconf/pdf/2023/38/e3sconf_conmechydro23_03009.pdf |
| _version_ | 1797775874210136064 |
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| author | Eshmatov Bakhtiyor Mirsaidov Mirziyod Abdikarimov Rustamkhan |
| author_facet | Eshmatov Bakhtiyor Mirsaidov Mirziyod Abdikarimov Rustamkhan |
| author_sort | Eshmatov Bakhtiyor |
| collection | DOAJ |
| description | The research object of this work is a clamped rectangular plate made of glass-reinforced plastic. The dynamic problem of stability of the plate under rapidly increasing shear load is considered. Within the Kirchhoff–Love hypothesis framework, a mathematical model was built in a geometrically nonlinear formulation. By the Bubnov–Galerkin method, based on a polynomial approximation of the deflection, the problem was reduced to solving systems of nonlinear ordinary integro-differential equations. With a weakly singular Koltunov–Rzhanitsyn kernel with variable coefficients, the resulting system was solved by a numerical method based on quadrature formulas. The plate’s dynamic behavior was investigated depending on the plate’s geometric and physic parameters. The importance of considering the viscoelastic properties of the material is shown. |
| first_indexed | 2024-03-12T22:41:55Z |
| format | Article |
| id | doaj.art-0dbbec67964a49d68c1d839ba8afb04a |
| institution | Directory Open Access Journal |
| issn | 2267-1242 |
| language | English |
| last_indexed | 2024-03-12T22:41:55Z |
| publishDate | 2023-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | E3S Web of Conferences |
| spelling | doaj.art-0dbbec67964a49d68c1d839ba8afb04a2023-07-21T09:34:23ZengEDP SciencesE3S Web of Conferences2267-12422023-01-014010300910.1051/e3sconf/202340103009e3sconf_conmechydro23_03009Dynamic buckling of plate made of glass reinforced plastic under rapidly increasing shear loadEshmatov Bakhtiyor0Mirsaidov Mirziyod1Abdikarimov Rustamkhan2Branch of National University of Science and Technology “MISiS”“Tashkent Institute of Irrigation and Agricultural Mechanization Engineers” National Research UniversityTashkent University of Architecture and ConstructionThe research object of this work is a clamped rectangular plate made of glass-reinforced plastic. The dynamic problem of stability of the plate under rapidly increasing shear load is considered. Within the Kirchhoff–Love hypothesis framework, a mathematical model was built in a geometrically nonlinear formulation. By the Bubnov–Galerkin method, based on a polynomial approximation of the deflection, the problem was reduced to solving systems of nonlinear ordinary integro-differential equations. With a weakly singular Koltunov–Rzhanitsyn kernel with variable coefficients, the resulting system was solved by a numerical method based on quadrature formulas. The plate’s dynamic behavior was investigated depending on the plate’s geometric and physic parameters. The importance of considering the viscoelastic properties of the material is shown.https://www.e3s-conferences.org/articles/e3sconf/pdf/2023/38/e3sconf_conmechydro23_03009.pdf |
| spellingShingle | Eshmatov Bakhtiyor Mirsaidov Mirziyod Abdikarimov Rustamkhan Dynamic buckling of plate made of glass reinforced plastic under rapidly increasing shear load E3S Web of Conferences |
| title | Dynamic buckling of plate made of glass reinforced plastic under rapidly increasing shear load |
| title_full | Dynamic buckling of plate made of glass reinforced plastic under rapidly increasing shear load |
| title_fullStr | Dynamic buckling of plate made of glass reinforced plastic under rapidly increasing shear load |
| title_full_unstemmed | Dynamic buckling of plate made of glass reinforced plastic under rapidly increasing shear load |
| title_short | Dynamic buckling of plate made of glass reinforced plastic under rapidly increasing shear load |
| title_sort | dynamic buckling of plate made of glass reinforced plastic under rapidly increasing shear load |
| url | https://www.e3s-conferences.org/articles/e3sconf/pdf/2023/38/e3sconf_conmechydro23_03009.pdf |
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