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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Main Author: Sulaeman, Erwin
Format: Book Chapter
Language:English
Published: IIUM Press 2011
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Online Access:http://irep.iium.edu.my/22908/
http://irep.iium.edu.my/22908/
http://irep.iium.edu.my/22908/1/20269.pdf
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recordtype eprints
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
repository_type Digital Repository
institution_category Local University
institution International Islamic University Malaysia
building IIUM Repository
collection Online Access
language English
topic TL500 Aeronautics
spellingShingle TL500 Aeronautics
Sulaeman, Erwin
Accurate geometric stiffness matrix formulation of beam finite element
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.
format Book Chapter
author Sulaeman, Erwin
author_facet Sulaeman, Erwin
author_sort Sulaeman, Erwin
title Accurate geometric stiffness matrix formulation of beam finite element
title_short 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
title_sort accurate geometric stiffness matrix formulation of beam finite element
publisher IIUM Press
publishDate 2011
url http://irep.iium.edu.my/22908/
http://irep.iium.edu.my/22908/
http://irep.iium.edu.my/22908/1/20269.pdf
first_indexed 2023-09-18T20:34:48Z
last_indexed 2023-09-18T20:34:48Z
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