Topology Optimization – unconventional approaches using the Generalized Finite Element Method and the Stable Generalized Finite Element Method

Wesley  Góis; Lucas Sardinha de  Arruda; Matheus Baarini  Martim; Cícero Ribeiro de  Lima

doi:10.1590/1679-78256839

Topology Optimization – unconventional approaches using the Generalized Finite Element Method and the Stable Generalized Finite Element Method

Authors

Wesley Góis Universidade Federal do ABC – UFABC, São Bernardo do Campo, São Paulo, Brasil https://orcid.org/0000-0003-3088-6394
Lucas Sardinha de Arruda Universidade Federal do ABC – UFABC, São Bernardo do Campo, São Paulo, Brasil https://orcid.org/0000-0002-2539-921X
Matheus Baarini Martim Universidade Federal do ABC – UFABC, São Bernardo do Campo, São Paulo, Brasil https://orcid.org/0000-0003-3506-8366
Cícero Ribeiro de Lima Universidade Federal do ABC – UFABC, São Bernardo do Campo, São Paulo, Brasil https://orcid.org/0000-0002-1281-7945

DOI:

https://doi.org/10.1590/1679-78256839

Abstract

The Structural Optimization process has an increasing importance in industry and academic fields, assisting in the development of designs at the initial stages of a project. Nowadays, the structural optimization methodology can be conducted by Topology Optimization Method (TOM), which is an efficiently combination of the Finite Element Method (FEM) with an optimization algorithm, in order to find the optimized material distribution inside a given design domain subjected to a set of constraints. Application of the FEM in TOM suffers from a series of instability problems, being one of them the checkerboard pattern. This paper investigates the impact of the Generalized Finite Element Method (GFEM) and Stable Generalized Finite Element Method (SGFEM) in the implementation of the TOM algorithm. This work shows that these unconventional FEM formulations are able to solve most of the checkerboard pattern problem when combined with an enriched mesh designed specifically to each example evaluated. Significant improvement in results of the topology optimization is achieved when compared to the conventional formulation of TOM.

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Published

2022-05-05

Issue

Vol. 19 No. 3 (2022)

Section

Articles

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