Modelling of Axially Loaded Cantilever Rod Using Element Free Galerkin Method
Element free Galerkin method is one of many numerical methods which was applied to various engineering systems. Therefore, in this study two linear elastic rods having solid cross sections were investigated for different loading conditions. The problem considered in the analysis is one dimensional l...
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Pamukkale University
2009-03-01
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doaj-de02454ac70a408d88646238029fb74a2020-11-24T23:01:12ZengPamukkale UniversityPamukkale University Journal of Engineering Sciences1300-70092147-58812009-03-011533533615000082919Modelling of Axially Loaded Cantilever Rod Using Element Free Galerkin MethodMahmut PEKEDİSHasan YILDIZElement free Galerkin method is one of many numerical methods which was applied to various engineering systems. Therefore, in this study two linear elastic rods having solid cross sections were investigated for different loading conditions. The problem considered in the analysis is one dimensional linear elastic cantilever rods and rods are subjected to axial loads f(x)=x and f(x)=0 [ f(l)=1]. Moving least square approximation was used as shape functions. Shape functions were applied to one and two dimensional solution domains, and plotted. In this paper, axial displacement values obtained by using element free Galerkin method which proposed and used by researchers for approximating the solution were compared with analytical solution. As a result, it was found that element free Galerkin method is an effective and trustworthy numerical solution method.http://dergipark.ulakbim.gov.tr/pajes/article/view/5000088850Ağsız yöntemler, Eleman bağımsız Galerkin yöntemi, Hareketli en küçük kareler yaklaşımı, Analitik çözüm. |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Mahmut PEKEDİS Hasan YILDIZ |
spellingShingle |
Mahmut PEKEDİS Hasan YILDIZ Modelling of Axially Loaded Cantilever Rod Using Element Free Galerkin Method Pamukkale University Journal of Engineering Sciences Ağsız yöntemler, Eleman bağımsız Galerkin yöntemi, Hareketli en küçük kareler yaklaşımı, Analitik çözüm. |
author_facet |
Mahmut PEKEDİS Hasan YILDIZ |
author_sort |
Mahmut PEKEDİS |
title |
Modelling of Axially Loaded Cantilever Rod Using Element Free Galerkin Method |
title_short |
Modelling of Axially Loaded Cantilever Rod Using Element Free Galerkin Method |
title_full |
Modelling of Axially Loaded Cantilever Rod Using Element Free Galerkin Method |
title_fullStr |
Modelling of Axially Loaded Cantilever Rod Using Element Free Galerkin Method |
title_full_unstemmed |
Modelling of Axially Loaded Cantilever Rod Using Element Free Galerkin Method |
title_sort |
modelling of axially loaded cantilever rod using element free galerkin method |
publisher |
Pamukkale University |
series |
Pamukkale University Journal of Engineering Sciences |
issn |
1300-7009 2147-5881 |
publishDate |
2009-03-01 |
description |
Element free Galerkin method is one of many numerical methods which was applied to various engineering systems. Therefore, in this study two linear elastic rods having solid cross sections were investigated for different loading conditions. The problem considered in the analysis is one dimensional linear elastic cantilever rods and rods are subjected to axial loads f(x)=x and f(x)=0 [ f(l)=1]. Moving least square approximation was used as shape functions. Shape functions were applied to one and two dimensional solution domains, and plotted. In this paper, axial displacement values obtained by using element free Galerkin method which proposed and used by researchers for approximating the solution were compared with analytical solution. As a result, it was found that element free Galerkin method is an effective and trustworthy numerical solution method. |
topic |
Ağsız yöntemler, Eleman bağımsız Galerkin yöntemi, Hareketli en küçük kareler yaklaşımı, Analitik çözüm. |
url |
http://dergipark.ulakbim.gov.tr/pajes/article/view/5000088850 |
work_keys_str_mv |
AT mahmutpekedis modellingofaxiallyloadedcantileverrodusingelementfreegalerkinmethod AT hasanyildiz modellingofaxiallyloadedcantileverrodusingelementfreegalerkinmethod |
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1725640424597487616 |