Modelling of Axially Loaded Cantilever Rod Using Element Free Galerkin Method
Articles > Article · 2009
Authors: Mahmut PEKEDİS, Hasan YILDIZ
Pamukkale University Journal of Engineering Sciences, Journal Indexed in ESCI, International, Emerging Sources Citation Index (ESCI), 2009, vol 15, pp 353-361
Summary
<p>Element free Galerkin method is one of many numerical methods which was applied to various en- gineering systems. Therefore, in this study two linear elastic rods having solid cross sections were in- vestigated for different loading conditions. The problem considered in the analysis is one dimension- al linear elastic cantilever rods and rods are subjected to axial loads <em>f(x)=x and f(x)=0 [ f(l)=1]. </em>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.</p><p><strong>Keywords : </strong><em>Meshless methods, Element free Galerkin method, Moving least square approximation, Analytical solution.</em></p>