Застосування сплайнів п’ятого степеня для розв’язання задачі про згин багатокутної пластини із вхідними кутами
In this paper, we discussed the use of splines of the fifth degree on a triangular grid of nodes for solving the biharmonic problem for a rigidly clamped polygonal plate with input angles with uniform load. The purpose of this article is to develop and study the finite element scheme (FEM) for solvi...
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| Date: | 2018 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of NAS of Ukraine
2018
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| Online Access: | http://journals.iapmm.lviv.ua/ojs/index.php/APMM/article/view/2474 |
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| Journal Title: | Prykladni Problemy Mekhaniky i Matematyky |
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Prykladni Problemy Mekhaniky i Matematyky| Summary: | In this paper, we discussed the use of splines of the fifth degree on a triangular grid of nodes for solving the biharmonic problem for a rigidly clamped polygonal plate with input angles with uniform load. The purpose of this article is to develop and study the finite element scheme (FEM) for solving problems on the bending of a rigidly clamped plate of complex shape with input angles using splines of the fifth degree. The results of the computational experiment are compared with the results obtained with the help of R-functions. The region was divided into 16 and 56 triangles. The experiment showed that the larger count of triangles in the subdivision of the region, the smaller the approximation error. |
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