Topology optimization of structures considering minimum weight and stress constraints by using the Overweight Approach. (15th December 2022)

• Record Type: Journal Article
• Authors: Villalba, Diego; París, José; Couceiro, Iván; Colominas, Ignasi; Navarrina, Fermín
• Is Part Of: Engineering structures. Volume 273(2022)
• Publication Date: 2022-12-15
• Subjects: Structural topology optimization -- Stress constraint -- Overweight Approach -- Finite element method -- Aggregation techniques; Structural engineering -- Periodicals; Structural analysis (Engineering) -- Periodicals; Construction, Technique de la -- Périodiques; Génie parasismique -- Périodiques; Pression du vent -- Périodiques; Earthquake engineering; Structural engineering; Wind-pressure; Periodicals; 624.105
• DOI: 10.1016/j.engstruct.2022.115071
• Languages: English
• ISSNs: 0141-0296

Abstract

Abstract: In this paper, a new method for structural topology optimization considering minimum weight and local stress constraints is proposed. For this purpose, the Overweight Approach, an improvement of the so-called Damage Approach, is used. In this method, a virtual relative density is defined as a function of the violation of the local stress constraints. The virtual relative density is increased as stresses exceed the maximum allowable value. The optimization algorithm will provide a design with a minimal variation of the relative density. The structural analysis is performed by means of the Finite Element Method (FEM) and the distribution of material is modelled in terms of a uniform relative density within each element. Moreover, the optimization is addressed by means of the Sequential Linear Programming algorithm (SLP). Finally, the proposed methodology is tested by means of some benchmark problems, and the results show that the Overweight Approach is a feasible alternative for the Damage Approach and the stress constraint aggregation techniques. Highlights: An alternative damage approach to solve the topology optimization problem is developed. A uniform relative density per element is considered to define the material layout. Intermediate densities are penalized to attain solutions easily manufacturable. Several benchmark examples in the topology optimization field are solved. Solutions with high spatial definition can be obtained in a reduced CPU time.