ANN MODELLING FOR THE BUCKLING ANALYSIS OF MEDICAL TITANIUM ALLOYS
Aim of this study is to investigate the cross sectional geometries of beams which have better buckling performance by using three different techniques. At the modeling process length of beams and applied forces have been assumed constant but cross sectional geometries, cross sectional areas and used materials have been changed at each design. These geometries have been selected as circle, rectangle, equilateral triangle, rhombus (diamond), ellipse and rounded rectangle. Moreover three different material and 101 cross sectional areas which increase from 3mm2 to 8mm2 have been taken into account for comparison. Firstly, critical stress values have been calculated analytically, then all design points have been analyzed by using finite element method (FEM). Deviation between these two methods has been obtained by using statistical analysis in order to obtain the reliability of the FEM. After the verification of the FEM according to statistical analysis, artificial neural network has been used in order to perform modelling for the FEM results. The deviation between the FEM and the ANN modeling have been calculated by comparing the statistical analysis results of Root Mean Square (RMS), Absolute Fraction of Variance (R2) and Mean Error Percentage. At the end of this study, in addition to complete ANN modelling of the design points, three methods have been compared to each other with respect to deviation among the results which were obtained from 1818 design points. Thus, a reliable and simple solution has been created by ANN modelling. This model is easy to apply and it can be used as an alternative of other solution techniques.
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