Topology optimization of binary structures

• Grant number: 19/06985-5
• Support Opportunities: Scholarships in Brazil - Master
• Start date: June 01, 2019
• End date: September 30, 2021
• Field of knowledge: Engineering - Mechanical Engineering - Mechanics of Solids
• Principal Investigator: Renato Picelli Sanches
• Grantee: Eduardo Aguiar Mendes
• Host Institution: Escola Politécnica (EP). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated research grant: 18/05797-8 - Addressing design challenges of offshore structures via Multiphysics topology optimization, AP.JP

Abstract

The ultimate goal of topology optimization is to obtain binary {0,1} solutions representing optimal structural layouts. However, the optimization problem with {0,1} design variables has been long considered hard or even impossible to be solved. This made popular the relaxation of the problem using continuous densities. On the other hand, one have seen a considerable increase in the amount of practitioners of the methods based on a clear separation between solid and void regions. Together with that, a future perspective of doing topology optimization with {0,1} variables is in solving multiphysics problems, in which separate physics and clear boundaries are the main characteristics of the problem. Recently, we have proposed the Topology Optimization of Binary Structures (TOBS) method. To the best of the authors' knowledge, the TOBS is the first method to obtain mesh independent and convergent solutions using formal mathematical programming and binary design variables. The aim of this project is to further develop the TOBS method. The objectives include an extensive literature review of the available integer linear programming solvers, their selection and implementation and the systematic choice of the input parameters. Finally, the method will be applied to a design-dependent multiphysics problem. (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

MENDES, E.; SIVAPURAM, R.; RODRIGUEZ, R.; SAMPAIO, M.; PICELLI, R.. Topology optimization for stability problems of submerged structures using the TOBS method. COMPUTERS & STRUCTURES, v. 259, JAN 15 2022. (19/06985-5, 18/05797-8)

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

MENDES, Eduardo Aguiar. Topology optimization for stability problems of submerged structures using the TOBS method.. 2021. Master's Dissertation - Universidade de São Paulo (USP). Escola Politécnica (EP/BC) São Paulo.