On the calculation of the rectangular finite element of the plate
The article is devoted to the study of the thin plate bending by the finite element method. The application of the finite element method to solving the problem of the plate bending leads to the necessity of studying the rectangular finite element of the plate. All deformation and statics characteri...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Academician Ye.A. Buketov Karaganda University
2018-06-01
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| Series: | Қарағанды университетінің хабаршысы. Математика сериясы |
| Subjects: | |
| Online Access: | http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/275 |
| _version_ | 1827395658595696640 |
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| author | G.A. Yessenbayeva D.N. Yesbayeva T.Kh. Makazhanova |
| author_facet | G.A. Yessenbayeva D.N. Yesbayeva T.Kh. Makazhanova |
| author_sort | G.A. Yessenbayeva |
| collection | DOAJ |
| description |
The article is devoted to the study of the thin plate bending by the finite element method. The application of the finite element method to solving the problem of the plate bending leads to the necessity of studying the rectangular finite element of the plate. All deformation and statics characteristics of the plate are functions of the displacement in the direction of the normal to the middle surface of the plate, which is determined by the deflection function. In the article, the formation of the plate deflection function in explicit form is carried out. The ways for finding the deflection function by division of the variables in the equilibrium equation of the plate, through an incomplete fourth - degree polynomial and in the form of Hermite polynomials are presented. The article is focused mainly on mechanics, engineers and scientific employees of technical specialties.
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| first_indexed | 2024-03-08T18:37:58Z |
| format | Article |
| id | doaj.art-59d8e0ca2a324a678e4775e72b86daa3 |
| institution | Directory Open Access Journal |
| issn | 2518-7929 2663-5011 |
| language | English |
| last_indexed | 2024-03-08T18:37:58Z |
| publishDate | 2018-06-01 |
| publisher | Academician Ye.A. Buketov Karaganda University |
| record_format | Article |
| series | Қарағанды университетінің хабаршысы. Математика сериясы |
| spelling | doaj.art-59d8e0ca2a324a678e4775e72b86daa32023-12-29T10:21:15ZengAcademician Ye.A. Buketov Karaganda UniversityҚарағанды университетінің хабаршысы. Математика сериясы2518-79292663-50112018-06-0190210.31489/2018m2/150-156On the calculation of the rectangular finite element of the plateG.A. YessenbayevaD.N. YesbayevaT.Kh. Makazhanova The article is devoted to the study of the thin plate bending by the finite element method. The application of the finite element method to solving the problem of the plate bending leads to the necessity of studying the rectangular finite element of the plate. All deformation and statics characteristics of the plate are functions of the displacement in the direction of the normal to the middle surface of the plate, which is determined by the deflection function. In the article, the formation of the plate deflection function in explicit form is carried out. The ways for finding the deflection function by division of the variables in the equilibrium equation of the plate, through an incomplete fourth - degree polynomial and in the form of Hermite polynomials are presented. The article is focused mainly on mechanics, engineers and scientific employees of technical specialties. http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/275finite element methodrectangular finite elementdeflection functionangular displacementsHermite polynomials |
| spellingShingle | G.A. Yessenbayeva D.N. Yesbayeva T.Kh. Makazhanova On the calculation of the rectangular finite element of the plate Қарағанды университетінің хабаршысы. Математика сериясы finite element method rectangular finite element deflection function angular displacements Hermite polynomials |
| title | On the calculation of the rectangular finite element of the plate |
| title_full | On the calculation of the rectangular finite element of the plate |
| title_fullStr | On the calculation of the rectangular finite element of the plate |
| title_full_unstemmed | On the calculation of the rectangular finite element of the plate |
| title_short | On the calculation of the rectangular finite element of the plate |
| title_sort | on the calculation of the rectangular finite element of the plate |
| topic | finite element method rectangular finite element deflection function angular displacements Hermite polynomials |
| url | http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/275 |
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