Level Set-Based Robust Topology Optimization for Coupled Thermal and Structural Problems Considering Uncertainty

• HIRANO Yutaka

  Department of Aerospace Engineering, Osaka Prefecture University

• YAMADA Takayuki

  京都大学大学院工学研究科航空宇宙工学専攻

• KOGISO Nozomu

  Department of Aerospace Engineering, Osaka Prefecture University

• IZUI Kazuhiro

  京都大学大学院工学研究科機械理工学専攻

• NISHIWAKI Shinji

  京都大学大学院工学研究科機械理工学専攻

• IGA Atsuro

  ヤンマー(株) 研究センター

Bibliographic Information

Other Title

• レベルセット法に基づく熱構造連成問題のトポロジー最適設計に対する不確定性を考慮したロバスト設計法

Abstract

In this paper, a robust design method is applied to the topology optimization for coupled thermal and structural problem. For the robust topology optimization, the objective function is defined as a combination of maximizing total potential energy for the thermal and structural stiffness and minimizing variation in the total potential energy under uncertainties on design parameters such as conduction of heat, heat transfer coefficient, Young's modulus and applied load. The variation in the total potential energy is evaluated using the first-order derivation under assumption that uncertainties are relatively small. As the topology optimization method, the formulation of a level set boundary expressions based on the concept of the phase field method is applied. This method allows topological changes with clearly boundary expressions during the optimization procedure. Furthermore, the geometrical complexity of the obtained optimal configurations can be controlled by adjusting a regularization factor, and the obtained optimal configurations are free of checkerboards and grayscales. Through numerical examples, the effect that uncertain conduction of heat, heat transfer, Young's modulus and applied load have upon the obtained configurations is investigated by comparing with deterministic optimum topology design results.

Journal

• TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series C

  TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series C 77 (773), 1-13, 2011

  The Japan Society of Mechanical Engineers

Keywords

• Optimum Design
• Robustness
• Heat Conduction
• Structural Analysis
• Finite Element Method

Details

• CRID: 1390282681364991872
• NII Article ID: 130000873713
• DOI: 10.1299/kikaic.77.1
• ISSN: 18848354
• ISSN: 03875024
• HANDLE: 10466/15704
• Web Site: https://omu.repo.nii.ac.jp/records/349
• Web Site: http://www.jstage.jst.go.jp/article/kikaic/77/773/77_773_1/_pdf
• Data Source:
  • JaLC
  • IRDB
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed