Structural Engineering and Mechanics

  • 제81권3호
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  • Pages.267-280
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  • 2022
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Concurrent topology optimization of composite macrostructure and microstructure under uncertain dynamic loads

  • Cai, Jinhu (School of Mechanical Engineering and Automation, Beihang University) ;
  • Yang, Zhijie (State Key Laboratory of Virtual Reality and Systems, Beihang University) ;
  • Wang, Chunjie (School of Mechanical Engineering and Automation, Beihang University) ;
  • Ding, Jianzhong (School of Mechanical Engineering and Automation, Beihang University)
  • 투고 : 2021.02.11
  • 심사 : 2021.08.29
  • 발행 : 2022.02.10
⟨ 이전 논문 다음 논문 ⟩

초록

Multiscale structure has attracted significant interest due to its high stiffness/strength to weight ratios and multifunctional performance. However, most of the existing concurrent topology optimization works are carried out under deterministic load conditions. Hence, this paper proposes a robust concurrent topology optimization method based on the bidirectional evolutionary structural optimization (BESO) method for the design of structures composed of periodic microstructures subjected to uncertain dynamic loads. The robust objective function is defined as the weighted sum of the mean and standard deviation of the module of dynamic structural compliance with constraints are imposed to both macro- and microscale structure volume fractions. The polynomial chaos expansion (PCE) method is used to quantify and propagate load uncertainty to evaluate the objective function. The effective properties of microstructure is evaluated by the numerical homogenization method. To release the computation burden, the decoupled sensitivity analysis method is proposed for microscale design variables. The proposed method is a non-intrusive method, and it can be conveniently extended to many topology optimization problems with other distributions. Several numerical examples are used to validate the effectiveness of the proposed robust concurrent topology optimization method.

키워드

과제정보

This work was supported by the National Science Foundation of China (Grant No51635002). The authors are grateful to the editor and anonymous reviewers for their suggestions in improving the quality of the paper.

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