期刊
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
卷 122, 期 21, 页码 6155-6179出版社
WILEY
DOI: 10.1002/nme.6786
关键词
boundary element method; moving morphable void; shape optimization; topology optimization
资金
- National Key Research and Development Plan [2017YFB0202802]
- Foundation for Innovative Research Groups of the National Natural Science Foundation [11821202]
- National Natural Science Foundation [11922204, 11872141, 11732004]
- Liao Ning Revitalization Talents Program [XLYC1907119]
- Program for Changjiang Scholars, Innovative Research Team in University (PCSIRT)
- 111 Project [B14013]
This article presents an explicit topology optimization approach using the moving morphable void (MMV) based on the boundary element method. Compared to conventional methods, this approach uses B-splines to describe structural boundaries, avoids the use of weak materials, and enables precise and explicit description of voids to capture tiny structural features effectively. Additionally, it naturally avoids numerical instabilities that may arise from the use of fixed meshes.
This article presents an explicit topology optimization approach using boundary element method based moving morphable void (MMV). Structural analysis in the conventional MMV approach is performed on a fixed mesh over the entire design domain. However, in the proposed method structural boundaries are described using B-splines and discretized with boundary elements making explicit representation of the boundaries possible. In this regard, the proposed approach has following merits: a) the use of weak material, which is often adopted to mimic voids can be completely avoided; b) exact and explicit description of voids in MMV allows the capture of tiny structural features in a robust and effective way; c) numerical instabilities stemming from the use of fixed meshes can be naturally avoided. Several numerical examples are provided to demonstrate the effectiveness of the proposed approach.
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