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MECSOL 2022
8th International Symposium on Solid Mechanics
STRUCTURAL TOPOLOGY OPTIMIZATION IN 3D MULTI-COMPONENT ELEMENTS USING FENICS
Submission Author:
Rafael Ferro , ES
Co-Authors:
Rafael Ferro, Renato Pavanello
Presenter: Rafael Ferro
doi://10.26678/ABCM.MECSOL2022.MSL22-0190
Abstract
This work analyzes the implementation of a discrete method of structural topology optimization in 3D or Three Dimensional multi-component elements using the open-source FEniCS tools and other complementary tools such as Dolfin Adjoint, Gmsh, meshio, Ipopt and Paraview. Structural topological optimization is widely used by several researches and projects in the process of improving structural elements. Research and techniques that use structural topological optimization, mostly, deal with continuous structural elements with a single domain, or single component, and it is observed that the real structures are complex and multicomponent. Currently, there are few approaches to the analysis of multi-component structures and they are still made using commercial software. The implementation of structural topological optimization in multi-component elements in this work involves four main components: multi-component meshing, numerical analysis using the Finite Element Method (FEM), sensitivity analysis by an adjoint method and an optimization solver. In order to allow the automated numerical solution of Partial Differential Equations (PDEs) and to perform a sensitivity analysis, the FEniCS and Dolfin Adjoint software are used, which are open source code. For the optimization process, Ipopt (Interior Point OPTimizer) is used, which is a large-scale nonlinear optimization software package designed to find (local) solutions of mathematical optimization problems. To generate the meshes, the Gmsh software is used, which is an open source three-dimensional (3D) finite element mesh generator with an integrated CAD engine and post-processor. For the conversion/reading of the generated models, the Meshio package is used. Paraview software is used to visualize the results, which is an open source cross-platform data visualization and analysis application. The topological optimization method used is based on SIMP interpolation - Solid Isotropic Material with Penalisation. The problem considered is compliance minimization / stiffness maximization, considering the examples of multi-component structures recurrent in the 3D literature. A density filtering algorithm based on the Helmholtz formulation is used.
Keywords
3D multi-component, structural topology optimization, Finite Element Method, FEniCS
