Stress-based structural topology optimization for design-dependent self-weight loads problems using the BESO method. Issue 2 (1st February 2023)

• Record Type: Journal Article
• Authors: Garcez, Gisele L.; Pavanello, Renato; Picelli, Renato
• Is Part Of: Engineering optimization. Volume 55:Issue 2(2023)
• Page Start: 197
• Page End: 213
• Publication Date: 2023-02-01
• Subjects: Topology optimization -- BESO -- stress criterion -- self-weight loads -- design-dependent loads; Engineering design -- Periodicals; Mathematical optimization -- Periodicals; 620.0042
• DOI: 10.1080/0305215X.2021.1993207
• Languages: English
• ISSNs: 0305-215X

Abstract

Abstract : This article aims to propose an approach to the stress-based topology optimization of continuous elastic bi-dimensional structures subjected to design-dependent self-weight loads using the Bi-directional Evolutionary Structural Optimization (BESO) method. Topology optimization is developed through the minimization of P -norm von Mises stress while satisfying a volume constraint. To implement the algorithm, a consistent sensitivity analysis including design-dependent loads has been developed by the adjoint method. A series of tests has been performed to explore and validate the method through three numerical examples: an L-bracket; a doubly supported beam with one pre-existing crack notch; and a cantilever beam. Comparison between traditional compliance minimization and stress minimization analyses, including design-dependent self-weight loads, shows that the method is an effective way to reduce the maximum stress.