Search

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. [ABSTRACT FROM AUTHOR]

In this study, recursive least squares method (RLSM) that is one of the adaptable classical methods was used. Firstly forgetting factor was adapted to RLSM. Phase information of voltage signal belonging to an electric power network that contains harmonics and spike was obtained by developed approach. Then responses of the algorithm were investigated for voltage collapse, phase shift and spike. Simulation was implemented by using MATLAB® code. Results of simulation were examined and efficiency of method was presented. [ABSTRACT FROM AUTHOR]