Accurate geometric stiffness matrix formulation of beam finite element
Alternate estimation of beam buckling load is presented in this Chapter. The standard procedure using a variational principle approach is usually utilized a cubic polynomial approach for the beam displacement shape such that the geometric stiffness matrix is a function of the geometric length of th...
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| Format: | Book Chapter |
| Language: | English |
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IIUM Press
2011
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| Online Access: | http://irep.iium.edu.my/22908/ http://irep.iium.edu.my/22908/1/20269.pdf |
| _version_ | 1848779078497206272 |
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| author | Sulaeman, Erwin |
| author_facet | Sulaeman, Erwin |
| author_sort | Sulaeman, Erwin |
| building | IIUM Repository |
| collection | Online Access |
| description | Alternate estimation of beam buckling load is presented in this Chapter. The standard procedure using a variational principle approach is usually utilized a cubic polynomial approach for the beam displacement shape such that the geometric stiffness matrix is a function of the geometric length of the element only. In the present work, the geometric stiffness matrix is developed as function geometric length and pre-assumed buckling load such that the accuracy of the buckling load can be improved by performing iteration. If the pre-assumed buckling load is set to zero, the present work will yield to the standard procedure. Therefore the present work offers a procedure to increase the accuracy of buckling estimation by performing iteration using the buckling load estimated by previous iteration as a good estimate for the pre-assumed buckling load. |
| first_indexed | 2025-11-14T15:12:03Z |
| format | Book Chapter |
| id | iium-22908 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T15:12:03Z |
| publishDate | 2011 |
| publisher | IIUM Press |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-229082012-07-16T13:47:18Z http://irep.iium.edu.my/22908/ Accurate geometric stiffness matrix formulation of beam finite element Sulaeman, Erwin TL500 Aeronautics Alternate estimation of beam buckling load is presented in this Chapter. The standard procedure using a variational principle approach is usually utilized a cubic polynomial approach for the beam displacement shape such that the geometric stiffness matrix is a function of the geometric length of the element only. In the present work, the geometric stiffness matrix is developed as function geometric length and pre-assumed buckling load such that the accuracy of the buckling load can be improved by performing iteration. If the pre-assumed buckling load is set to zero, the present work will yield to the standard procedure. Therefore the present work offers a procedure to increase the accuracy of buckling estimation by performing iteration using the buckling load estimated by previous iteration as a good estimate for the pre-assumed buckling load. IIUM Press 2011 Book Chapter PeerReviewed application/pdf en http://irep.iium.edu.my/22908/1/20269.pdf Sulaeman, Erwin (2011) Accurate geometric stiffness matrix formulation of beam finite element. In: Advances in Aircraft Structures. IIUM Press, Kuala Lumpur, pp. 190-197. ISBN ISBN 978-967-418-148-2 http://rms.research.iium.edu.my/bookstore/default.aspx |
| spellingShingle | TL500 Aeronautics Sulaeman, Erwin Accurate geometric stiffness matrix formulation of beam finite element |
| title | Accurate geometric stiffness matrix formulation of beam finite element
|
| title_full | Accurate geometric stiffness matrix formulation of beam finite element
|
| title_fullStr | Accurate geometric stiffness matrix formulation of beam finite element
|
| title_full_unstemmed | Accurate geometric stiffness matrix formulation of beam finite element
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| title_short | Accurate geometric stiffness matrix formulation of beam finite element
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| title_sort | accurate geometric stiffness matrix formulation of beam finite element |
| topic | TL500 Aeronautics |
| url | http://irep.iium.edu.my/22908/ http://irep.iium.edu.my/22908/ http://irep.iium.edu.my/22908/1/20269.pdf |