Moving Morphable Components Using Strain-Based Beam Geometry Description for Topology Optimization

Keisuke Otsuka; Hiroki Yamashita; Hiroyuki Sugiyama; Shuonan Dong; Ryo Kuzuno; Kanjuro Makihara

doi:10.2514/1.J064272

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Moving Morphable Components Using Strain-Based Beam Geometry Description for Topology Optimization

Journal article

Open access

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Moving Morphable Components Using Strain-Based Beam Geometry Description for Topology Optimization

Keisuke Otsuka, Hiroki Yamashita, Hiroyuki Sugiyama, Shuonan Dong, Ryo Kuzuno and Kanjuro Makihara

AIAA journal, Vol.62(12), pp.4846-4854

12/2024

DOI: 10.2514/1.J064272

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Abstract

In the moving-morphable-component topology optimization, morphable components are introduced as a geometrical model mapped onto the background finite elements, and their shape parameters are utilized as design variables for topology optimization. Whereas a complex curved geometry ensuring [Formula: see text] continuity can be generated using existing curved components, the component curvatures cannot be selected as design variables in the existing methods; thus geometric constraints associated with curvatures cannot also be directly imposed. To address this issue, this study proposes a curvature-based morphable component by introducing the curvilinear geometry representation in the strain-based beam formulation. Since the proposed component is parameterized by curvatures using the curvilinear equation, the component curvatures can be utilized as the design variables. This allows for directly imposing curvature constraints on structural members, thereby accounting for the manufacturability of an optimal topology. It is demonstrated that a symmetric placement of the design variables using the midpoint curvilinear coordinate system is critical in ensuring convergence of the proposed curvature-based component optimization. The symmetric curvature component is further extended to account for multiple curvatures within a single component while ensuring [Formula: see text] continuity. Several examples are presented to demonstrate the benefits of the proposed multicurvature component for topology optimization.

Finite Element Analysis

Structural Analysis

Computer Aided Design

Aircraft Components and Structure

Topology Optimization

Wing Geometry

Isogeometric Analysis

Structural Assembly

Structural Optimization

Aerospace Structural Assembly

Details

Title: Subtitle: Moving Morphable Components Using Strain-Based Beam Geometry Description for Topology Optimization
Creators: Keisuke Otsuka - Tohoku University
Hiroki Yamashita
Hiroyuki Sugiyama
Shuonan Dong - Tohoku University
Ryo Kuzuno - Tohoku University
Kanjuro Makihara - Tohoku University
Resource Type: Journal article
Publication Details: AIAA journal, Vol.62(12), pp.4846-4854
DOI: 10.2514/1.J064272
ISSN: 0001-1452
eISSN: 1533-385X
Publisher: AMER INST AERONAUTICS ASTRONAUTICS
Grant note: Japan Society for the Promotion of Science KAKENHI: 21K14341
This work was supported by the Japan Society for the Promotion of Science KAKENHI (grant number 21K14341) and a research grant from the Ebara Hatakeyama Memorial Foundation, Nohmura Foundation for Membrane Structure's Technology, and Mazak Foundation. Some of the optimization results were obtained using supercomputing resources at the Cyberscience Center at Tohoku University.
Language: English
Electronic publication date: 10/07/2024
Date published: 12/2024
Academic Unit: Iowa Technology Institute; Mechanical Engineering
Record Identifier: 9984722941902771

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