COMPARATIVE ANALYSIS OF SCALAR AND VECTOR FORMS OF APPROXI- MATIONS IN A FEM AFTER THE V.V. NOVOZHILOV'S RELATIONS FOR ELLIPTIC CYLINDER
A comparative analysis of scalar and vector fields displacement approximations are set out on the example of finite element calculation of an elliptic cylinder with using of the No- vozhilov theory of thin shells A curvilinear quadrilateral finite element as a fragment of the middle surface of an el...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Peoples’ Friendship University of Russia (RUDN University)
2015-03-01
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| Series: | Structural Mechanics of Engineering Constructions and Buildings |
| Subjects: | |
| Online Access: | http://journals.rudn.ru/structural-mechanics/article/view/10972 |
| _version_ | 1819036723800178688 |
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| author | Yu V KLOCHKOV A P NIKOLAEV T R ISHCHANOV |
| author_facet | Yu V KLOCHKOV A P NIKOLAEV T R ISHCHANOV |
| author_sort | Yu V KLOCHKOV |
| collection | DOAJ |
| description | A comparative analysis of scalar and vector fields displacement approximations are set out on the example of finite element calculation of an elliptic cylinder with using of the No- vozhilov theory of thin shells A curvilinear quadrilateral finite element as a fragment of the middle surface of an elliptical cylinder with eighteen degrees of freedom at the node was used. It was shown on numerical examples that the vector approximation being invariant has fun- damental advantages over scalar approximation in the calculation of arbitrary shells |
| first_indexed | 2024-12-21T08:10:04Z |
| format | Article |
| id | doaj.art-3b1c5d97b6364798af8ff27836a8f963 |
| institution | Directory Open Access Journal |
| issn | 1815-5235 2587-8700 |
| language | English |
| last_indexed | 2024-12-21T08:10:04Z |
| publishDate | 2015-03-01 |
| publisher | Peoples’ Friendship University of Russia (RUDN University) |
| record_format | Article |
| series | Structural Mechanics of Engineering Constructions and Buildings |
| spelling | doaj.art-3b1c5d97b6364798af8ff27836a8f9632022-12-21T19:10:41ZengPeoples’ Friendship University of Russia (RUDN University)Structural Mechanics of Engineering Constructions and Buildings1815-52352587-87002015-03-0102515810971COMPARATIVE ANALYSIS OF SCALAR AND VECTOR FORMS OF APPROXI- MATIONS IN A FEM AFTER THE V.V. NOVOZHILOV'S RELATIONS FOR ELLIPTIC CYLINDERYu V KLOCHKOV0A P NIKOLAEV1T R ISHCHANOV2400002, г. Волгоград, пр. Университетский, 26400002, г. Волгоград, пр. Университетский, 26400002, г. Волгоград, пр. Университетский, 26A comparative analysis of scalar and vector fields displacement approximations are set out on the example of finite element calculation of an elliptic cylinder with using of the No- vozhilov theory of thin shells A curvilinear quadrilateral finite element as a fragment of the middle surface of an elliptical cylinder with eighteen degrees of freedom at the node was used. It was shown on numerical examples that the vector approximation being invariant has fun- damental advantages over scalar approximation in the calculation of arbitrary shellshttp://journals.rudn.ru/structural-mechanics/article/view/10972векторная аппроксимацияскалярная аппроксимацияконечный элементэллиптический цилиндр |
| spellingShingle | Yu V KLOCHKOV A P NIKOLAEV T R ISHCHANOV COMPARATIVE ANALYSIS OF SCALAR AND VECTOR FORMS OF APPROXI- MATIONS IN A FEM AFTER THE V.V. NOVOZHILOV'S RELATIONS FOR ELLIPTIC CYLINDER Structural Mechanics of Engineering Constructions and Buildings векторная аппроксимация скалярная аппроксимация конечный элемент эллиптический цилиндр |
| title | COMPARATIVE ANALYSIS OF SCALAR AND VECTOR FORMS OF APPROXI- MATIONS IN A FEM AFTER THE V.V. NOVOZHILOV'S RELATIONS FOR ELLIPTIC CYLINDER |
| title_full | COMPARATIVE ANALYSIS OF SCALAR AND VECTOR FORMS OF APPROXI- MATIONS IN A FEM AFTER THE V.V. NOVOZHILOV'S RELATIONS FOR ELLIPTIC CYLINDER |
| title_fullStr | COMPARATIVE ANALYSIS OF SCALAR AND VECTOR FORMS OF APPROXI- MATIONS IN A FEM AFTER THE V.V. NOVOZHILOV'S RELATIONS FOR ELLIPTIC CYLINDER |
| title_full_unstemmed | COMPARATIVE ANALYSIS OF SCALAR AND VECTOR FORMS OF APPROXI- MATIONS IN A FEM AFTER THE V.V. NOVOZHILOV'S RELATIONS FOR ELLIPTIC CYLINDER |
| title_short | COMPARATIVE ANALYSIS OF SCALAR AND VECTOR FORMS OF APPROXI- MATIONS IN A FEM AFTER THE V.V. NOVOZHILOV'S RELATIONS FOR ELLIPTIC CYLINDER |
| title_sort | comparative analysis of scalar and vector forms of approxi mations in a fem after the v v novozhilov s relations for elliptic cylinder |
| topic | векторная аппроксимация скалярная аппроксимация конечный элемент эллиптический цилиндр |
| url | http://journals.rudn.ru/structural-mechanics/article/view/10972 |
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