Autor(es)

Emmendoerfer, Jr., Helio ^[1] ; Fancello, Eduardo Alberto ^[2] ; Nelli Silva, Emilio Carlos ^[1]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Dept Mechatron & Mech Syst Engn, Sao Paulo, SP - Brazil

^[2] Univ Fed Santa Catarina, Dept Mech Engn, Campus Univ Trindade, Florianopolis, SC - Brazil

• Tipo de documento: Artigo Científico
• Fonte: INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING; v. 115, n. 7, p. 825-848, AUG 17 2018.
• Citações Web of Science: 1

Resumo

This work presents a level set framework to solve the compliance topology optimization problem considering design-dependent pressure loads. One of the major technical difficulties related to this class of problem is the adequate association between the moving boundary and the pressure acting on it. This difficulty is easily overcome by the level set method that allows for a clear tracking of the boundary along the optimization process. In the present approach, a reaction-diffusion equation substitutes the classical Hamilton-Jacobi equation to control the level set evolution. This choice has the advantages of allowing the nucleation of holes inside the domain and the elimination of the undesirable reinitialization steps. Moreover, the proposed algorithm allows merging pressurized (wet) boundaries with traction-free boundaries during level set movements. This last property, allied to the simplicity of the level set representation and successful combination with the reaction-diffusion based evolution applied to a design-dependent pressure load problem, represents the main contribution of this paper. Numerical examples provide successful results, many of which comparable with others found in the literature and solved with different techniques. (AU)

• Processo FAPESP: 16/09923-2 - Projeto de selos do tipo labirinto utilizando otimização topológica baseada numa abordagem de curvas de nível
• Beneficiário: Hélio Emmendoerfer Junior
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado
• Processo FAPESP: 14/50279-4 - Brasil Research Centre for Gas Innovation
• Beneficiário: Julio Romano Meneghini
• Modalidade de apoio: Auxílio à Pesquisa - Programa Centros de Pesquisa Aplicada