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Development of finite element formulation for plate buckling structure

The analytical or exact mathematical formulation of stresses and displacements for plate buckling structure become impossible to develop if the plate geometry is so complicated. Numerical technique is one another approach to solve this problem and it is chosen in this study for plate structure under...

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Main Author: Algaifi, Hassan Amer Ali
Format: Thesis
Language:English
Published: 2013
Subjects:
TA Engineering (General). Civil engineering (General)
Online Access:http://eprints.utm.my/id/eprint/42098/5/HassanAmerAliAl-GaifiMFKA2013.pdf
http://eprints.utm.my/id/eprint/42098/
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spelling my.utm.420982017-07-11T01:49:33Z http://eprints.utm.my/id/eprint/42098/ Development of finite element formulation for plate buckling structure Algaifi, Hassan Amer Ali TA Engineering (General). Civil engineering (General) The analytical or exact mathematical formulation of stresses and displacements for plate buckling structure become impossible to develop if the plate geometry is so complicated. Numerical technique is one another approach to solve this problem and it is chosen in this study for plate structure under in-plane and out-plane load. The formulation of elastic stiffness matrix (ke) and geometric nonlinear stiffness matrix (kg) of the plate structure due to buckling is developed and based on virtual displacement principle. The geometric nonlinear stiffness matrix (kg) is found function of internal stresses. The direct iteration technique is applied in order to find nodal displacements. Under this technique, the Gauss points stresses are initialize as zeros, the kg matrix is updated, and then a new nodal displacement vector is found for the next approximation of internal stresses. Iterative process is done until convergence of displacement is satisfied. The rectangular plate with one fixed edge supported is used to test the proposed nonlinear formulation and procedure. The compressive in-plane load and moment is considered and applied for the tested plate. The plate is discretized with appropriate number of triangular finite element mesh. It is found that, the convergence of displacement is satisfied by using direct iteration technique. The load - deflection curve shows nonlinear relationship and approach to critical load. This finding shows that the direct iteration method can be accepted for the analyzing of plate buckling by considering geometric nonlinear assumption. 2013-06 Thesis NonPeerReviewed application/pdf en http://eprints.utm.my/id/eprint/42098/5/HassanAmerAliAl-GaifiMFKA2013.pdf Algaifi, Hassan Amer Ali (2013) Development of finite element formulation for plate buckling structure. Masters thesis, Universiti Teknologi Malaysia, Faculty of Civil Engineering.
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
language English
topic TA Engineering (General). Civil engineering (General)
spellingShingle TA Engineering (General). Civil engineering (General)
Algaifi, Hassan Amer Ali
Development of finite element formulation for plate buckling structure
description The analytical or exact mathematical formulation of stresses and displacements for plate buckling structure become impossible to develop if the plate geometry is so complicated. Numerical technique is one another approach to solve this problem and it is chosen in this study for plate structure under in-plane and out-plane load. The formulation of elastic stiffness matrix (ke) and geometric nonlinear stiffness matrix (kg) of the plate structure due to buckling is developed and based on virtual displacement principle. The geometric nonlinear stiffness matrix (kg) is found function of internal stresses. The direct iteration technique is applied in order to find nodal displacements. Under this technique, the Gauss points stresses are initialize as zeros, the kg matrix is updated, and then a new nodal displacement vector is found for the next approximation of internal stresses. Iterative process is done until convergence of displacement is satisfied. The rectangular plate with one fixed edge supported is used to test the proposed nonlinear formulation and procedure. The compressive in-plane load and moment is considered and applied for the tested plate. The plate is discretized with appropriate number of triangular finite element mesh. It is found that, the convergence of displacement is satisfied by using direct iteration technique. The load - deflection curve shows nonlinear relationship and approach to critical load. This finding shows that the direct iteration method can be accepted for the analyzing of plate buckling by considering geometric nonlinear assumption.
format Thesis
author Algaifi, Hassan Amer Ali
author_facet Algaifi, Hassan Amer Ali
author_sort Algaifi, Hassan Amer Ali
title Development of finite element formulation for plate buckling structure
title_short Development of finite element formulation for plate buckling structure
title_full Development of finite element formulation for plate buckling structure
title_fullStr Development of finite element formulation for plate buckling structure
title_full_unstemmed Development of finite element formulation for plate buckling structure
title_sort development of finite element formulation for plate buckling structure
publishDate 2013
url http://eprints.utm.my/id/eprint/42098/5/HassanAmerAliAl-GaifiMFKA2013.pdf
http://eprints.utm.my/id/eprint/42098/
_version_ 1643650797277282304
score 13.211869

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