Modelling of Axially Loaded Cantilever Rod Using Element Free Galerkin Method

Pamukkale University Journal of Engineering Sciences. 2009;15(3):353-361


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Journal Title: Pamukkale University Journal of Engineering Sciences

ISSN: 1300-7009 (Print); 2147-5881 (Online)

Publisher: Pamukkale University

Society/Institution: PAU Engineering Faculty

LCC Subject Category: Technology: Engineering (General). Civil engineering (General)

Country of publisher: Turkey

Language of fulltext: English, Turkish

Full-text formats available: PDF






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Time From Submission to Publication: 25 weeks


Abstract | Full Text

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.