Non-probabilistic robust continuum topology optimization with stress constraints

Author(s)

da Silva, Gustavo Assis ^[1] ; Cardoso, Eduardo Lenz ^[2] ; Beck, Andre Teofilo ^[1]

Affiliation

^[1] Univ Sao Paulo, Sao Carlos Sch Engn, Dept Struct Engn, BR-13566590 Sao Carlos, SP - Brazil

^[2] Univ Estado Santa Catarina, Dept Mech Engn, BR-89219710 Joinville, SC - Brazil

• Document type: Journal article
• Source: STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION; v. 59, n. 4, p. 1181-1197, APR 2019.
• Web of Science Citations: 3

Abstract

This paper proposes a non-probabilistic robust design approach, based on optimization with anti-optimization, to handle unknown-but-bounded loading uncertainties in stress-constrained topology optimization. The objective of the proposed topology optimization problem is to find the lightest structure that respects the worst possible scenario of local stress constraints, given predefined bounds on magnitudes and directions of applied loads. A solution procedure based on the augmented Lagrangian method is proposed, where worst-case local stress constraints are handled without employing aggregation techniques. Results are post-processed, demonstrating that maximum stress of robust solutions is almost insensitive with respect to changes in loading scenarios. Numerical examples also demonstrate that obtained robust solutions satisfy the stress failure criterion for any load condition inside the predefined range of unknown-but-bounded uncertainties in applied loads. (AU)

• FAPESP's process: 15/25199-0 - Topology Optimization under Uncertainties with Stress Failure Criteria
• Grantee: Gustavo Assis da Silva
• Support Opportunities: Scholarships in Brazil - Doctorate