A General Ritz Algorithm for Static Analysis of Arbitrary Laminated Composite Plates using First Order Shear Deformation Theory
This paper is concerned with the bending of laminated composite plates with arbitrary lay-up and general boundary conditions. The analysis is based on the small deflection, first-order shear deformation theory of composite plates, which utilizes the Reissner-Mindlin plate theory. In solving the afor...
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doaj-8eebc77734e3439c95c81afd96b97ad92020-11-25T03:25:18ZengSultan Qaboos UniversityThe Journal of Engineering Research1726-60091726-67422013-12-0110211210.24200/tjer.vol10iss2pp1-12127A General Ritz Algorithm for Static Analysis of Arbitrary Laminated Composite Plates using First Order Shear Deformation TheoryRF Rango0FJ Bellomo1LG Nallim2INIQUI-CONICET, Faculted de Ingenierla, Universidad Nacional de salta, 4400-Salta, ArgentinaINIQUI-CONICET, Faculted de Ingenierla, Universidad Nacional de salta, 4400-Salta, ArgentinaINIQUI-CONICET, Faculted de Ingenierla, Universidad Nacional de salta, 4400-Salta, ArgentinaThis paper is concerned with the bending of laminated composite plates with arbitrary lay-up and general boundary conditions. The analysis is based on the small deflection, first-order shear deformation theory of composite plates, which utilizes the Reissner-Mindlin plate theory. In solving the aforementioned plate problems, a general algorithm based on the Ritz method and the use of beam orthogonal polynomials as coordinate functions is derived. This general algorithm provides an analytical approximate solution that can be applied to the static analysis of moderately thick laminated composite plates with any lamination scheme and combination of edge conditions. The convergence, accuracy, and flexibility of the obtained general algorithm are shown by computing several numerical examples and comparing some of them with results given in the literature. Some results, including general laminates and nonsymmetrical boundary conditions with free edges, are also presented.https://journals.squ.edu.om/index.php/tjer/article/view/127plate bending, general laminated composite plates, first order shear deformation theory |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
RF Rango FJ Bellomo LG Nallim |
spellingShingle |
RF Rango FJ Bellomo LG Nallim A General Ritz Algorithm for Static Analysis of Arbitrary Laminated Composite Plates using First Order Shear Deformation Theory The Journal of Engineering Research plate bending, general laminated composite plates, first order shear deformation theory |
author_facet |
RF Rango FJ Bellomo LG Nallim |
author_sort |
RF Rango |
title |
A General Ritz Algorithm for Static Analysis of Arbitrary Laminated Composite Plates using First Order Shear Deformation Theory |
title_short |
A General Ritz Algorithm for Static Analysis of Arbitrary Laminated Composite Plates using First Order Shear Deformation Theory |
title_full |
A General Ritz Algorithm for Static Analysis of Arbitrary Laminated Composite Plates using First Order Shear Deformation Theory |
title_fullStr |
A General Ritz Algorithm for Static Analysis of Arbitrary Laminated Composite Plates using First Order Shear Deformation Theory |
title_full_unstemmed |
A General Ritz Algorithm for Static Analysis of Arbitrary Laminated Composite Plates using First Order Shear Deformation Theory |
title_sort |
general ritz algorithm for static analysis of arbitrary laminated composite plates using first order shear deformation theory |
publisher |
Sultan Qaboos University |
series |
The Journal of Engineering Research |
issn |
1726-6009 1726-6742 |
publishDate |
2013-12-01 |
description |
This paper is concerned with the bending of laminated composite plates with arbitrary lay-up and general boundary conditions. The analysis is based on the small deflection, first-order shear deformation theory of composite plates, which utilizes the Reissner-Mindlin plate theory. In solving the aforementioned plate problems, a general algorithm based on the Ritz method and the use of beam orthogonal polynomials as coordinate functions is derived. This general algorithm provides an analytical approximate solution that can be applied to the static analysis of moderately thick laminated composite plates with any lamination scheme and combination of edge conditions. The convergence, accuracy, and flexibility of the obtained general algorithm are shown by computing several numerical examples and comparing some of them with results given in the literature. Some results, including general laminates and nonsymmetrical boundary conditions with free edges, are also presented. |
topic |
plate bending, general laminated composite plates, first order shear deformation theory |
url |
https://journals.squ.edu.om/index.php/tjer/article/view/127 |
work_keys_str_mv |
AT rfrango ageneralritzalgorithmforstaticanalysisofarbitrarylaminatedcompositeplatesusingfirstordersheardeformationtheory AT fjbellomo ageneralritzalgorithmforstaticanalysisofarbitrarylaminatedcompositeplatesusingfirstordersheardeformationtheory AT lgnallim ageneralritzalgorithmforstaticanalysisofarbitrarylaminatedcompositeplatesusingfirstordersheardeformationtheory AT rfrango generalritzalgorithmforstaticanalysisofarbitrarylaminatedcompositeplatesusingfirstordersheardeformationtheory AT fjbellomo generalritzalgorithmforstaticanalysisofarbitrarylaminatedcompositeplatesusingfirstordersheardeformationtheory AT lgnallim generalritzalgorithmforstaticanalysisofarbitrarylaminatedcompositeplatesusingfirstordersheardeformationtheory |
_version_ |
1724597672064581632 |