SIMP topoloji optimizasyonunun yoğunluk değerlerine göre parçaların hücresel yapılar ile kaplanması

In this thesis, a method is proposed to enhance the performance of the parts optimized by Solid Isotropic Material with Penalization (SIMP) method. SIMP is a density-based topology optimization method which basically aims to distribute the material through the part subjected to various loads, boundary conditions and constraints in the optimum way. Thus, the part satisfies an optimization goal without violating the predefined constraints. The most prominent feature of this method is that the densities of the finite elements composing the part are either 1 or 0. The method penalizes the intermediate densities to converge to 1 or 0. One of the reasons behind the penalization is to provide a manufacturable geometry since intermediate density regions are difficult to fabricate. However, inclusion of these regions in the final topology may enhance the performance of the part. Based on this idea, a method is developed to use intermediate densities and it is applied on both 2D and 3D geometries.