期刊
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME
卷 89, 期 5, 页码 -出版社
ASME
DOI: 10.1115/1.4053727
关键词
topology optimization; moving morphable component (MMC); computational conformal mapping (CCM); surface parameterization
类别
资金
- National Natural Science Foundation [11821202, 11732004, 12002077, 12002073]
- National Key Research and Development Plan [2020YFB1709401]
- 111 Project [B14013]
This article proposes an integrated paradigm for topology optimization on complex surfaces using structural components and computational conformal mapping technique. Numerical examples demonstrate the effectiveness and efficiency of the proposed approach, which outperforms traditional methods.
In the present article, an integrated paradigm for topology optimization on complex surfaces with arbitrary genus is proposed. The approach is constructed based on the two-dimensional (2D) Moving Morphable Component (MMC) framework, where a set of structural components are used as the basic units of optimization, and computational conformal mapping (CCM) technique, with which a complex surface represented by an unstructured triangular mesh can be mapped into a set of regular 2D parameter domains numerically. A multipatch stitching scheme is also developed to achieve an MMC-friendly global parameterization through a number of local parameterizations. Numerical examples including a saddle-shaped shell, a torus-shape shell, and a tee-branch pipe are solved to demonstrate the validity and efficiency of the proposed approach. It is found that compared with traditional approaches for topology optimization on 2D surfaces, optimized designs with clear load transmission paths can be obtained with much fewer numbers of design variables and degrees-of-freedom for finite element analysis (FEA) via the proposed approach.
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