Conference proceeding
Moving Morphable Components based on Strain-Based Beam Formulation for Topology Optimization
AIAA SCITECH 2024 FORUM
01/01/2024
DOI: 10.2514/6.2024-0359
Abstract
Moving morphable component (MMC) framework is a topology optimization method that can directly impose geometrical constraints by using geometrical parameters as design variables, which can enhance the manufacturability of topologically optimized structures. Curvature is a significant geometrical parameter in designing structures because curved topology tends to have less stress concentration than sharp topology, and it is difficult to manufacture excessively curved topology. Therefore, imposing specific constraints on curvature is important. However, conventional MMCs cannot impose curvature constraints directly because they do not use curvature as a design variable. To address this issue, we propose a curvature-based component that possesses curvature as a design variable. The proposed component leverages the curvilinear geometry representation of the strain-based beam formulation, which was originally developed to analyze large deformation of slender structures. However, the geometry representation produces poor convergence and asymmetric topology even when symmetric boundary and load conditions are considered because the origin of the curvilinear coordinate is placed on a curved geometry asymmetrically. Therefore, we propose a symmetric curvature-based component that considers curvilinear coordinates in the negative and positive directions symmetrically. Further, it is demonstrated that the use of a direction vector is better suited than that of a trigonometric function to define the direction of the curvilinear coordinates. We extend the components to multi-curvature-based components that can express more complicated topology. We demonstrate that the proposed components can easily impose the curvature constraints in a benchmark problem, which could enhance the manufacturability of topologically optimized structures.
Details
- Title: Subtitle
- Moving Morphable Components based on Strain-Based Beam Formulation for Topology Optimization
- Creators
- Keisuke Otsuka - Tohoku UniversityShuonan Dong - Tohoku UniversityRyo Kuzuno - Tohoku UniversityHiroyuki Sugiyama - Univ Iowa, Dept Mech Engn, 2139 Seamans Ctr, Iowa City, IA 52242 USAKanjuro Makihara - Tohoku University
- Resource Type
- Conference proceeding
- Publication Details
- AIAA SCITECH 2024 FORUM
- Publisher
- Amer Inst Aeronautics & Astronautics
- DOI
- 10.2514/6.2024-0359
- Number of pages
- 23
- Grant note
- Ebara Hatakeyama Memorial Foundation Mazak Foundation; ACEV Foundation 21K14341 / Japan Society for the Promotion of Science KAKENHI; Ministry of Education, Culture, Sports, Science and Technology, Japan (MEXT); Japan Society for the Promotion of Science; Grants-in-Aid for Scientific Research (KAKENHI) Nohmura Foundation for Membrane Structure's Technology jh210052-NAH / "Joint Usage/Research Center for Interdisciplinary Large-Scale Information Infrastructures" in Japan
- Language
- English
- Date published
- 01/01/2024
- Academic Unit
- Mechanical Engineering
- Record Identifier
- 9984792363002771
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