Comparative State-of-the-Art Review on Finite Element Method and Applied Element Method
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Date
2021-07
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Addis Ababa University
Abstract
The intent of this study is presenting Applied Element Method (AEM), AEM is as of late new expansion of discrete element method of structural analysis which is applicable for static linear and non-linear analysis of continuum and framed structures. In AEM structure is partitioned in to discrete elements. Consecutive elements connected to each other with a pair of springs. Simple 2D linear static structural analysis done utilizing AEM, the influence of key parameters such as number of springs, number of elements, one-dimensional discretization and two-dimensional discretization were investigated in this study. The aim of the analysis is to highlight which parameter affects the result and which level of accuracy is expected. Theoretical and Numerical comparison of Finite Element Method (FEM) and Applied Element Method (AEM) performed, by comparing AEM and FEM with their respective features and convergence test is also performed, comparing the numerical results of AEM and FEM with the analytical results respectively.
In order to study the influence of parameters a classic cantilever beam with a concentrated load at the tip is selected. To investigate the parameters in AEM different codes developed utilizing numerical software “Scilab”, Numerical results of AEM plotted against number of elements for the pre-listed parameters. FEM analysis is performed utilizing a finite element software Ansys 2020 R2. To show the accuracy and verification of both methods, numerical results obtained by the AEM and FEM are compared with analytical results. For convergence test, Numerical results of both AEM and FEM are plotted against number of elements and compared with the analytical result.
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Keywords
Applied Element Method, Ansys 2020 R2, Finite Element Method, Discrete Element