Solution of the Föppl – von Kármán equations for square plates
The present paper develops an approach to obtaining solutions of the Föppl – von Kármán equations for square plates, which are based on direct algebraisation of the boundary-value problem. The solution is obtained in term of expansion into basis of the space of square-integrable function. The system...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Samara National Research University
2024-10-01
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| Series: | Вестник Самарского университета: Естественнонаучная серия |
| Subjects: | |
| Online Access: | https://journals.ssau.ru/est/article/viewFile/28190/11068 |
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| Summary: | The present paper develops an approach to obtaining solutions of the Föppl – von Kármán equations for square plates, which are based on direct algebraisation of the boundary-value problem. The solution is obtained in term of expansion into basis of the space of square-integrable function. The system of eigenfunction of a linear self-adjoined operator is used as the basis. The expansion coefficients are defined by the reduction method from an infinite-dimensional system of cubic equations. It allows one to consider the proposed solution as non-linear generalisation of classic Galerkin method. |
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| ISSN: | 2541-7525 2712-8954 |